
iw: 
הניסוי עם שני סדקים הוא נחמד, כי הוא מראה
בצורה משכנעת שבאור יש
תבניות של התאבכות גלים.
אם מאירים על שני הסדקים בלייזר ירוק,
נראה במסך
משהו כזה.
ישנם הכתמים הבהירים אבל,
הם איכשהו משתלבים עם האזורים החשוכים,
שמשתלבים עם הכתמים הבהירים.
בגלל זה, כשמציירים את הייצוג
הגרפי של התבנית,
זה נראה בערך ככה, כשהאזורים השונים
משתלבים אחד עם השני.
זה נחמד, אבל זה גם קצת מעצבן
כי כשנעשה את הניסוי בפועל
נרצה למדוד זוויות מסוימות, וזה אומר
שנצטרך למדוד מרחקים מסוימים.
יהיה עלינו למדוד את המרחק למסך,
זה יתן לנו את הניצב הזה של המשולש,
ואז, סביר להניח שיהיה עלינו למדוד
מרחק בין שני הכתמים
הבהירים האלה, כי זה מה שנראה.
אבל, מכיוון שהם קצת מרוחים,
איך נמצא את המרכז שלהם?
האם זה המרכז?

English: 
- Double slits are cool because they show
definitively that light can have
wave like interference patterns
and if you shine a
green laser through here
what you'd see on the screen
would be something like this.
You'd have these bright spots
but they'd kind of blend in to dark spots
which blend into bright spots
which is why when we draw a graphical
representation of this, it kind of
looks like this, where these spots
are blending into each other
which is cool but it also kind of sucks
because if you were to go actually
try to do this experiment, you'd want to
measure some angles and that means
that you'd have to measure some distances.
I'd measure distance from
the screen to the wall.
That would give me this
side of the triangle
and then I would also
probably want to measure
distance between two of these
bright spots because that's what I can see
but because they're smudgy, it's like
is that the center?
Is this the center?

Bulgarian: 
Опитът с двата процепа е хубав,
понеже определено показва,
че светлината може да има
вълноподобни модели на интерференция.
И ако осветиш това тук
със зелен лазер,
на екрана ще видиш
нещо подобно.
Ще имаш тези
ярки точки,
но те ще преминат
в тъмни точки,
които ще преминат
в ярки точки,
а затова, когато чертаем
графично представяне на това,
то изглежда ето така,
като тези точки
се сливат една в друга,
което е готино,
но и неприятно,
понеже ако опиташ
да направиш този експеримент,
ще искаш да измериш
няколко ъгъла
и това означава, че ще трябва
да измериш няколко разстояния.
Ще измеря разстоянието
от екрана до стената.
Това ще ми даде
тази страна на триъгълника.
А после вероятно ще искам
да измеря
разстоянието между
две от тези ярки точки,
понеже това е,
което мога да видя,
но понеже те са замъглени,
ще се чудя дали това е центърът.
Дали това е
центърът?

Thai: 
สลิตคู่นั้นเจ๋งเพราะมันแสดง
อย่างชัดเจนว่าแสงมี
รูปแบบการแทรกสอดเหมือนคลื่น
และถ้าคุณฉายเลเซอร์สีเขียวผ่านตรงนี้
สิ่งที่คุณจะเห็นบนฉาก
นั้นเป็นแบบนี้
คุณจะมีจุดสว่างพวกนี้
แต่พวกมันจะมีจุดมืด
ปนอยู่กับจุดสว่าง
ซึ่งก็คือสาเหตุที่เราวาดภาพ
แสดงมันอย่างนี้ มัน
เป็นแบบนี้ โดยจุดเหล่านี้
ผสมกันไป
ซึ่งเป็นเจ๋งดี แต่มันยังแย่
เพราะถ้าคุณลอง
ทดลองอย่างนี้จริงๆ คุณอยาก
วัดมุม และมันหมายความว่า
คุณจะได้ต้องวัดระยะทาง
ผมวัดระยะจากฉากไปยังกำแพง
มันจะให้ค่าด้านนี้ของสามเหลี่ยม
แล้วผมอาจจะอยากวัด
ระยะระหว่างจุดสว่าง
สองจุดนี้ เพราะนั่นคือสิ่งที่ผมเห็นได้
แต่เนื่องจากมันเลือนมาก แบบว่า
ศูนย์กลางอยู่ตรงไหน?
นี่คือศูนย์กลางหรือเปล่า?

Korean: 
이중 실틈은 빛이
간섭 무늬와 같은 파동을 가진다는 것을
보여주며
만약 여러분이 초록색 레이저를
여기에 비춘다면
스크린 위에
이와 같은 것들을 볼 수 있습니다
여러분은 밝은 지점들을 볼 수 있지만
검은 지점들과 혼합되어 있으며
이 검은 지점들은 밝은 지점들과
혼합되어 있어
우리는 이와 같이
그래프로 표현할 수 있습니다
이 지점들은 서로
혼합되어 있어
멋지지만 곤란하기도 한데
왜냐하면 여러분이 실제로
이 실험을 할 때,
각도들을 재야 하기 때문이며 
그 사실은
여러분이 몇몇 거리들을 재야 한다는 것을
의미합니다
스크린으로부터 벽까지의 거리를 재면
삼각형의 한 변의 길이를 알게 됩니다
그리고 이 두 점들 사이의 거리가
원하는 값이기 때문에
측정할 것입니다
그러나 그 점들이 얼룩져 있습니다
이것이 중심 같나요?
이것이 중심 같나요?

Portuguese: 
Fendas duplas são legais porque mostram
a interferência de ondas para a luz
Apontando um laser verde para as fendas,
aparece na tela algo assim
Temos essas áreas brilhantes que vão
esmaecendo até chegarem a áreas escuras
E então voltamos a ter uma área brilhante
Por isso no gráfico temos no gráfico essas
áreas de mistura gradual claro e escuro
Isso é legal,
mas um pouco chato
Porque para esse experimento
queremos medir alguns ângulos...
...e isso significa medir
algumas distâncias
Medindo a distância entre a tela e
a parede obtenho esse lado do triângulo
E também meço a distância entre duas áreas
brilhantes, porque é isso que posso ver
Mas como são borrados,
como definir onde é o centro?
É esse o centro?

Portuguese: 
Às vezes a luz não é tão forte
e fica difícil dizer
Ainda pior,
fica mais fraca longe do centro
Teremos sorte de ver a quinta ou
sexta área brilhante fora do centro
Então minha pergunta é:
Existe algo melhor?
Posso aumentar a definição
destas áreas e ver mais delas?
A resposta é definitivamente sim.
Basta acrescentar mais furos
Então venho aqui e faço uma nova fenda
à mesma distância que as originais
E mais um e outro mais
Farei milhares extremamente próximos
e algo mágico acontece

Korean: 
때때로 빛이 강하지 않기 때문에
확신하기 어려우며 더 문제가 되는 것은
이런 종류의 희미해짐입니다
따라서 다른 문제에 당면하게 됩니다
이것들은 상당히 빠르게 희미해집니다
때때로는 운이 좋으면
다섯번째나 여섯번째 밝은 지점을 볼 수 있습니다
그래서 제 질문은, 혹시 더 나은 방법이 있을까요?
이 점들이 확실히 구분되고
여러분이 더 많이 볼 수 있기 위해
그들이 더 밝아져 정답을
확신할 수 있는 방안을 
우리는 고안해내었고
이는 여러분이 더 많은 구멍을
만드는 것입니다
결국 이 지점들 사이 거리가
D라면, 저는 거리가 D인 지점에
다른 구멍을 만들겠습니다
그리고 거리가 D인 지점에
또다른 구멍을 만들고 다시 거리가
D인 지점에
다른 구멍을 만들겠습니다
저는 천개의 이러한 구멍들을
서로 매우 가깝게 모두 거리가
D인 채로 만들 것입니다
뭔가 신기한 현상이 일어납니다
만약 이것들이 모두 D만큼 떨어지면
여기 벽에 희미한 패턴 대신,
여러분은 저 지점에 점을 얻을 것이며

Bulgarian: 
Понякога светлината
не е толкова силна
и е трудно
да определим това
и още по-лошото е,
че те избледняват,
така че има
и друг проблем.
Тези бързо
избледняват.
Понякога имаш късмет,
ако видиш дори
5-тата или 6-тата ярка точка
по тази права.
Въпросът ми е дали има
по-добър начин.
Има ли начин да направим
тези точки по-определени,
за да можеш да видиш повече от тях,
за да са по-ярки
и отговорът е
определено да,
и сме открили как
да направим това,
и начинът да го направиш
е просто да направиш повече дупки.
Идваш тук и ако тези
са разделени на
разстояние d,
просто ще направя друга дупка
на разстояние d,
а после ще направя друга дупка
на разстояние d,
а после ще направя друга дупка
на разстояние d.
Ще направя хиляди
такива дупки
много близо
една до друга
и, стига всички те да са
на разстояние d една от друга,
нещо магическо
се случва.
Ако всички тези са на разстояние d,
на стената ето тук,
вместо да получим
този размазан модел,

iw: 
לפעמים האור לא כל כך חזק,
ואז קשה להחליט, ומה שיותר גרוע
הוא שהכתמים האלה הולכים ודועכים,
זאת בעיה נוספת.
הכתמים הבהירים האלה הולכים ודועכים די מהר.
לפעמים, אם יתמזל מזלנו, נוכל
לראות עד הסדר החמישי, או השישי.
האם קיימת דרך יותר טובה?
האם יש דרך שהכתמים הבהירים
יהיו מוגדרים בצורה יותר ברורה, כך שנצליח
לראות יותר כתמים ויותר חזקים?
התשובה היא בהחלט כן.
הדרך לעשות זאת היא
להוסיף סדקים.
אז באים לכאן, ואם המרחק
בין אלה הוא d,
נוסיף סדק נוסף במרחק d,
ואז נוסיף עוד סדק
במרחק d, ואז נוסיף
עוד סדק במרחק d.
נוסיף עד כ- 1000 סדקים,
הקרובים כל כך אחד להשני,
כל עוד הם במרחק d ביניהם,
ואז קורה משהו קסום.
אם כל הסדקים האלה הם במרחק d,
במסך כאן, במקום שתתקבל
תבנית מרוחה, תתקבל

Thai: 
บางครั้ง แสงไม่เข้มพอ
มันบอกได้ยาก และแย่กว่านั้น
จุดเหล่านี้จางไป
มันยังมีปัญหาอีกอย่าง
พวกมันจางไปเร็วมาก
บางครั้ง คุณโชคดีที่เห็น
แม้แต่จุดสว่างที่ 5 หรือ 6 ตามเส้นนี้
คำถามของผมคือว่า มันมีวิธีดีกว่านี้ไหม?
มันมีวิธีทำให้จุดเหล่านี้
ชัดเจนขึ้น จนคุณเห็นพวกมัน
ชัดขึ้น สว่างขึ้น และคำตอบ
คือทำได้แน่นอน เราพบว่า
วิธีทำ และวิธีทำก็คือ
คุณเจาะรูมากขึ้น
คุณมาตรงนี้ และถ้ารูเหล่านี้
ห่างกันไประยะ d ผมจะ
เจาะรูอีกรูที่ระยะ d
แล้วผมจะเจาะอีกรู
ที่ระยะ d แล้วผมก็
เจาะอีกรูที่ระยะ d
ผมจะเจาะรูเหล่านี้เป็นพัน
ใกล้กันมากๆ ตราบใดที่พวกมัน
ห่างกันเป็นระยะ d
แล้วเรื่องมหัศจรรย์ก็เกิดขึ้น
ถ้าพวกนี้ห่างกัน d สิ่งที่เกิดขึ้น
บนผนังตรงนี้ แทนที่จะได้
รูปแบบเลือนๆ คุณจะได้ คุณจะ

English: 
Sometimes the lights not so strong
and it's hard to tell and what's worse
is these kind of die off
and so there's another problem.
These die off pretty quick.
Sometimes you're lucky to even see
the 5th or 6th bright spot down the line.
So, my question is, is there a better way?
Is there a way to make these spots
more defined and so you
can see more of them
so they're brighter and the answer
is definitively yes and we figured out
how to do it and the way you do it,
is you just make more holes.
So you come over to here and if these
are spaced to distance
D, I'm just going to
make another hole at distance D
and then I'm going to make another hole
at distance D and then I'm going to make
another hole at distance D.
I'm going to make 1,000's of these holes
extremely close together
as long as they're
all at distance D apart,
something magical happens.
So if these are all D
apart, what happens is
on the wall over here, instead of getting
this smudgy pattern,
you'll get, you really will

Bulgarian: 
ще получиш точка тук,
а после тъмнина,
после друга точка
и после тъмнина,
и друга точка,
и това ще продължи по-надалеч,
отколкото преди.
Защо?
Нека поговорим защо.
Нека поговорим за това.
Как можеш да видиш
такъв модел като този тук?
Първата вълна от
тази първа дупка.
Нека си представим първата вълна
от тази първа дупка –
тя ще измине определено разстояние
до стената.
Да кажем, че разгледаме
една точка тук,
където интерференцията
е конструктивна.
Да кажем, че в началото имахме
само тези две дупки.
Две дупки, два процепа,
не взимай нищо от това предвид за момент.
Две вълни, идващи от
две дупки,
стигат дотук.
Да кажем, че това
е една ярка точка,
но да кажем, че това е ярката точка,
която съответства на
делта х равно на
една дължина на вълната.
С други думи,
това тук ще е конструктивната точка,
където втората вълна
от втория процеп
изминава една дължина на вълната
повече
от вълната от
първия процеп.

English: 
just get, a dot right
there and then darkness
and then another dot and then darkness
and another dot and you'll see this
continue out much further
than you could previously.
Why?
Well let's talk about why.
So let's talk about this.
How can you see this pattern
over here like this?
So, the 1st wave from this 1st hole.
Let's imagine this 1st wave
from this 1st hole, it's going to travel
a certain distance to the wall.
Let's say we look at a point over here
where it is constructive.
Let's say we just had these two holes
to start off with right?
Two holes, double slit, disregard
all this stuff for a minute.
Two waves coming in from two holes
get over to here.
Let's say this is a bright spot
but say it's the bright spot
that corresponds to, delta
x equals one wavelength.
In other words, this would be
the constructive point where the 2nd wave
from the 2nd hole travels
one wavelength further
than the wave from the 1st hole

Portuguese: 
Com as fendas muito próximas, ao
invés dos borrões obtemos um ponto claro
E então escuridão.
E outro ponto claro,
então escuridão
E verá isso ir muito mais longe que antes
E por quê?
Vamos descobrir...
Por que vemos esse padrão?
A primeira onde vem da primeira fenda
Imagine que a primeira onda viaje dada
distância ao anteparo, digamos esse ponto
E é construtiva
Vamos começar só com duas fendas
Fenda dupla, ignorando
todos estes outros por enquanto
Duas ondas, uma de cada furo, batem aqui
Que seja um ponto claro correspondente
à distância de um comprimento de onda
Ou seja, a onda da 2ª fenda viaja um
comprimento de onda além da 1ª fenda

Thai: 
ได้ จุดตรงนี้ แล้วก็มืด
แล้วก็จุด แล้วก็มืด
แล้วก็จุด สิ่งที่คุณเห็นตรงนี้
จะต่อออกไปกว้างกว่าที่ได้ก่อนหน้านี้มาก
ทำไมล่ะ?
ลองคุยกันว่าทำไม
ลองคุยกันเรื่องนี้
เราเห็นรูปแบบนี้
ตรงนี้ได้อย่างไร?
คลื่นแรกจากรูแรกนี้
ลองนึกภาพว่าคลื่นแรกนี้
มาจากรูแรก มันจะเดินทาง
เป็นระยะหนึ่งถึงผนัง
สมมุติว่าเราดูที่จุดตรงนี้
ที่มันเสริมกัน
สมมุติว่าเรามีแค่สองรูนี้
เริ่มต้นทางขวา
สองรู สลิตคู่ ไม่ต้อง
คิดถึงรูทั้งหมดสักครู่
คลื่นสองตัวที่มาจากรูสองรู
มายังตรงนี้
สมมุติว่านี่คือจุดสว่าง
แต่สมมุติว่ามันคือจุดสว่าง
มันตรงกับ เดลต้า x เท่ากับ 1 ความยาวคลื่น
กล่าวอีกอย่างคือว่า จุดนี้คือ
จุดแบบเสริม โดยคลื่นที่ 2
จากรูที่ 2 เดินทางไกลกว่า 1 ความยาวคลื่น
เทียบกับคลื่นจากรูที่ 1

Korean: 
다음에는 어두운 부분을,
그리고 다음에 다른 점, 
그리고 어두운 부분
그리고 또다른 점을 볼 것이며
이전보다 훨씬 멀리까지 
이어져 있는 것을 확인할 수 있습니다
어째서일까요?
어째서인지 이야기해봅시다
이것에 대해 말해보겠습니다
여기의 패턴이 어떻게
보이나요?
첫번째 구멍으로부터의
첫번째 파동이
벽까지 일정한 거리를 이동했다고
상상해봅시다
우리가 보는 여기 이 지점을
보강이라고 말합시다
이 두개의 구멍들로부터
빛이 시작되었다고 합시다
두 개의 구멍, 이중 슬릿
다른 것들은 잠시 무시합시다
두 구멍으로부터 나오는 두 파동은
이곳으로 향합니다
이곳이 밝은 지점이라고
생각하면
델타 x는 한 파장과 일치합니다
다른 표현으로 이 지점은 보강 지점인데
두번째 구멍으로부터의
두번째 파동이 첫번째 구멍으로부터의 파장보다
한 파장만큼 더 이동한 지점입니다

iw: 
נקודה בהירה כאן ואז חושך,
ואז עוד נקודה בהירה וחושך,
ועוד נקודה בהירה,
וככה זה יימשך הרבה יותר מעבר למה שהיה קודם.
למה?
נדבר על הסיבה לכך בהמשך.
נדבר על זה.
איך ניתן לראות את התבנית הזאת,
כאן, בצורה כזאת?
נסתכל על הגל הראשון מהסדק הראשון הזה.
נדמיין שהגל הראשון
מהסדק הראשון, מתקדם
מרחק מסוים עד למסך.
נסתכל על נקודה כאן,
בה מתרחשת התאבכות בונה.
בהתחלה, נוסיף רק את שני הסדקים
האלה, בסדר?
שני סדקים כמו קודם,
נתעלם בינתיים מכל היתר.
שני גלים הבאים משני סדקים
ומגיעים לכאן.
זאת נקודה בהירה,
אז נניח שזאת הנקודה הבהירה
המתאימה לדלתה X השווה לאורך גל אחד.
במילים אחרות,
זאת הנקודה הבונה שבה, הגל השני
מהסדק השני, עובר אורך גל אחד יותר
מהגל מהסדק הראשון.

Thai: 
และนั่นหมายความว่า ถ้าเราวาด
เส้นจากตรงนี้
เป็นมุมฉากตรงนี้ดีๆ นั่นหมายความว่า
คลื่นนี้ จากรูที่ 2
นี่คือส่วนเกินที่เป็น
หนึ่งความยาวคลื่น และเนื่องจาก
คลื่นที่ 2 นี้เดินทางไปอีก 1 ความยาวคลื่น
มันจะเป็นแบบเสริม
เพราะถ้าผมวาดคลื่น พวกมัน
จะตรงกันพอดี แล้วถ้าผมวาดคลื่น
สมมุติว่าคลื่นจากรูที่ 1
เกิดอยู่ที่จุดนี้
บนวัฏจักร
มันไม่ต้องเป็นจุดนั้นก็ได้ แต่สมมุติ
ว่ามันคือจุดนั้น
คลื่นที่ 1 กระทบจุดนั้น
ที่จุดนี้ในวัฏจักร
แล้วคลื่นที่ 2 เนื่องจากมันเดินทาง
ไกลขึ้น 1 ความยาวคลื่น มันจะกระทบ
ที่จุดนี้ในวัฏจักร มันจึงออยู่ตรงนี้
ทีนี้ คลื่นพวกนี้กระทบ
ที่จุดเดียวกัน คลื่นที่ 1
จึงกระทบตรงนี้
คลื่นที่ 2 มาถึงกระทบตรงนี้
พวกมันทับกันเพราะพวกมัน
เป็นคลื่่นสองตัวมาทับกัน ณ จุดนี้
พวกมันจะเสริมกันเพราะ
ถ้ายอดตรงกับยอด พวกมันจะเสริมกัน

English: 
and again what that means is if I were
to carefully draw a line from here
at a right angle right there, that means
that this wave, from the 2nd hole,
this is the extra part so that would be
one extra wavelength and because this
2nd wave is traveling
one extra wavelength,
it's going to be constructive
because if I draw my
wave, they're going to
match up perfectly there
so if I draw my wave,
let's say the wave from the 1st hole
happened to be at this
particular point on it's cycle.
It doesn't have to be but let's
just say it was there.
The 1st wave hit that point
at this point in it's cycle.
Well, the 2nd wave, since it's traveling
one wavelength further, is going to hit
at this point in it's
cycle so it would be here.
Now these are both hitting there
at the same point so the 1st wave
gets there hitting right here.
The 2nd wave get there hitting right here.
These overlap because these are
two different waves
overlapping at this point
it's going to be constructive because
if a peak matches a peak, constructive.

Portuguese: 
E se desenharmos os caminhos das ondas,
essa parte extra é um comprimento de onda
E como a 2ª onda percorreu um comprimento
de onda a mais...
a interferência é construtiva
Se desenhasse as ondas,
elas casariam perfeitamente aqui
Digamos que a onda da 1ª fenda
esteja assim em um dados momento do ciclo
Não precisa estar,
mas digamos que esteja
A 1ª onda atinge o ponto
nesse momento do ciclo
Como a segunda onda viajou um comprimento
de onda a mais, chegará aqui no ciclo
Agora as duas atingem esse ponto juntas
A primeira onda está incidindo aqui
e o mesmo para a segunda onda
Essas ondas se sobrepondo aqui
serão construtivas

iw: 
פירוש הדבר הוא,
שאם נצייר בזהירות קו מכאן,
בזווית ישרה שם, זה אומר
שהגל הזה מהסדק השני,
זה המרחק הנוסף השווה
לאורך גל אחד. מכיוון שהגל
השני עובר אורך גל אחד נוסף,
זאת תהיה התאבכות בונה.
אם נצייר את הגל,
הם יתאימו בצורה מושלמת שם. אם נצייר את הגל...
נגיד שהגל מהסדק הראשון
היה בנקודה
מסוימת במחזור שלו.
זה לא חייב להיות,
אבל נגיד שהוא היה שם.
הגל הראשון פגע בנקודה ההיא,
בנקודה הזאת במחזור שלו.
הגל השני,
העובר אורך גל אחד נוסף,
יפגע בנקודה הזאת במחזור שלו, זה יהיה כאן.
שניהם פוגעים שם
באותה נקודה, אז הגל הראשון
מגיע לשם ופוגע כאן,
הגל השני מגיע לשם ופוגע כאן.
הגלים חופפים, אלה שני
גלים שונים החופפים בנקודה הזאת,
אז תהיה לנו התאבכות בונה,
כי שיא מתאים לשיא, התאבכות בונה

Bulgarian: 
И, отново, това означава,
че ако внимателно начертая права оттук
под прав ъгъл тук,
това означава,
че тази вълна
от втората дупка,
това е допълнителната част,
тоест това ще е
една допълнителна
дължина на вълната
и понеже тази втора вълна изминава
една допълнителна дължина на вълната,
това ще е
конструктивна интерференция,
понеже, ако начертая
вълната си,
те перфектно ще съвпаднат тук,
тоест ако начертая вълната си,
да кажем, че вълната
от първата дупка
беше на тази определена
точка от цикъла си.
Не е нужно да е,
но да кажем, че е тук.
Първата вълна стига тази точка
в този момент от цикъла си.
Втората вълна, тъй като изминава
една допълнителна дължина на вълната,
ще достигне тази точка
в цикъла си,
така че ще е тук.
И двете стигат тук
в същата точка,
така че първата вълна
стига дотук.
Втората вълна
стига дотук.
Тези се припокриват и,
понеже са
две различни вълни,
припокриващи се в тази точка,
това ще е конструктивна интерференция,
понеже ако един връх съвпада с връх,
това е конструктивна интерференция.

Korean: 
그것이 무엇을 의미하냐면,
만약 제가 여기에서부터
두번째 구멍으로부터의 파동에
직각이 되게 그리면
이 것이 남는 부분이며
한 파장이 되는데, 이는
두번째 파장이 한 파장만큼을 더 갔을때
보강 지점이 되기 때문입니다
제가 파동을 그리면 그들은
완벽하게 맞을 것입니다
첫번째 구멍으로부터의 파동이
이렇게 그 원에 일정 부분에
생성된다고 하면,
반드시 그럴 필요는 없지만
그렇다고 합시다
첫번째 파동이 순환 속의 그 지점에
닿을 것입니다
그리고 두번째 파동은 이것이 한 파장
더 이동하므로 순환의 이 지점에
닿을 것입니다
이것들이 모두 저기에 같은 지점에
닿으므로 첫번째 파동은
여기에 다다를 것입니다
두번째 파동은 여기에 닿을 것입니다
이들은 중첩되는데 왜냐하면
서로 다른 두 파동이 여기에서 
겹치기 때문입니다
이것은 보강이 될텐데,
마루가 마루를 만났기 때문입니다

English: 
If a valley matches a
valley, constructive.
How about the 3rd hole?
Here's where it gets interesting.
This 3rd hole, the wave from the 3rd hole
is going to have to travel
this far to get there.
Well, let's see.
From the 2nd, how much
further does it travel
compared to the 2nd hole?
I'm going to do the same game
I did just a minute ago.
It travels this much further which again,
since these are the same angle,
this is going to be
the same distance here.
This is a also going to be one wavelength.
Remember we derived at this.
That d sin theta, is the
path length difference
and the theta is the same for all of them
and so I could just look at these two
consider these two as the double slit.
This one travels one wavelength
further than the 2nd.
How much further does
it travel than the 1st?
Well I'm going to continue that line down.
It's just going to travel two wavelengths
farther than the 1st.
So the wave coming out of the 3rd hole
travels two wavelengths farther

Bulgarian: 
Ако долина съвпада с долина,
това е конструктивна интерференция.
А 3-тата дупка?
Тук нещата
стават интересни.
Вълната от 
третата дупка
ще трябва да измине толкова разстояние,
за да стигне дотук.
Да видим.
Колко по-надалеч отива
в сравнение с
втората дупка?
Ще направя същата игра,
която направих
преди малко.
Ако изминава толкова повече,
което, отново,
тъй като тези са
един и същ ъгъл,
това тук ще е
същото разстояние.
Това също ще е
една дължина на вълната.
Помни, намерихме това –
че d синус тита е разликата
в дължината на пътя
и тита е една и съща
за всички тях,
така че просто мога
да разгледам тези двете,
да приема тези двете
като два процепа.
Това изминава
една дължина на вълната повече
от втората вълна.
Колко повече трябва
да измине от първата?
Ще продължа
тази права надолу.
Ще измине
две дължини на вълната повече
от първата вълна.
Вълната, излизаща
от третата дупка,
изминава две дължини на вълната
повече

Portuguese: 
Se um pico encontra um pico: construtiva
se um vale encontra um vale: construtiva
E que tal uma terceira fenda?
Aí começa a ficar interessante
A onda da terceira fenda viajará
essa distância para chegar aqui
E quanto essa onda viaja a mais
que a onda da segunda fenda?
Repetiremos os que fizemos há pouco
Ela viaja esse mesmo tanto a mais,
pois é o mesmo ângulo
Então será a mesma distância aqui:
Um comprimento de onda
Lembre, mostramos isso. A diferença de
caminho é d*sen(ɵ)
e "ɵ" é o mesmo para todos, então posso
tratar esses dois como fenda dupla
Essa aqui viaja um comprimento
de onda a mais que a segunda
E quanto ela viaja a mais que a primeira?
Continuando essa linha, viaja dois
comprimentos de onda a mais que a primeira

Korean: 
만약 골이 골을 만나도 보강이 됩니다
세번째 구멍은 어떨까요?
여기에 흥미로운 사실이 있습니다
이 세번째 구멍으로부터의 파동은
저 지점에 가기 위해
이 정도 거리를 가야 합니다
한번 봅시다
두번째 구멍과 비교했을 때
얼마나 더 멀리 갈까요?
저는 조금 전에 했던 것과 같은
게임을 하고자 합니다
이것은 이것들이 같은 각도이기 때문에
이 거리와 같은 거리만큼 더
멀리 갑니다
이것은 마찬가지로 한 파장입니다
우리가 이것을 d 사인세타로 표현한 것을
기억한다면 세타가 모두
같기때문에
이들 두가지를 이중슬릿과 같이
생각할 수 있습니다
이것은 두번째보다 한 파장만큼
더 이동합니다
첫번째보다는 얼마나 멀리 갈까요?
선 밑으로 계속해 보겠습니다
이것은 첫번째보다 두 파장만큼
더 이동합니다
따라서 세번째 구멍으로부터의 파동은
첫번째 구멍으로부터의 파동보다

Thai: 
ถ้าก้นตรงกับก้น พวกมันจะเสริมกัน
แล้วรูที่ 3 ล่ะ?
นี่คือจุดที่น่าสนใจ
รูที่ 3 นี้ คลื่นจากรูที่ 3
จะต้องเดินทางไกลเท่านี้ เพื่อมาถึงตรงนี้
ลองดูกัน
จากจุดที่ 2 มันต้องเดินทางเท่าใด
เทียบกับรูที่ 2?
ผมจะทำแบบเดียว
กับที่ผมทำเมื่อตะกี้
มันเดินทางไกลกว่าเท่านี้
เนื่องจากมันคือมุมเดิม
มันจะเป็นระยะเท่ากันตรงนี้
อันนี้จะเท่ากับ 1 ความยาวคลื่น
นึกดู เราพิสูจน์มาตรงนี้
d ไซน์เธต้าคือผลต่างความยาวเส้นทาง
และเธต้าเท่ากันสำหรับทุกเส้น
ผมจึงดูสองตัวนี้
คิดว่าสองตัวนี้เป็นสลิตคู่ได้
อันนี้จะเดินทางไกลขึ้นหนึ่งความยาวคลื่น
เทียบกับอันที่สอง
แล้วมันเดินทางไกลกว่าอันแรกเท่าใด?
ผมจะเดินทางไปตามเส้นนี้
มันจะเดินทางอีก 2 ความยาวคลื่น
เทียบกับอันแรก
คลื่นที่ออกมาจากรูที่ 3
เดินทางไกลขึ้น 2 ความยาวคลื่น

iw: 
כי שפל מתאים לשפל, התאבכות בונה.
מה קורה עם הסדק השלישי?
כאן זה מתחיל להיות מעניין.
הגל השלישי, הגל מהסדק השלישי
יעבור את המרחק הזה עד לכאן.
בואו נראה.
איזה מרחק נוסף הוא יעבור
ביחס לגל השני?
נשחק את אותו משחק.
כפי שעשיתי קודם.
הוא עובר את המרחק הנוסף הזה,
ומכיוון שזאת אותה הזווית,
זה יהיה אותו המרחק כמו כאן.
זה גם יהיה אורך גל אחד.
זכרו את הנוסחה, האומרת
ש- d כפול סינוס טטה הוא הפרש המרחקים,
והזווית טטה היא אותה זווית עבור כולם.
ניתן להסתכל על שני אלה,
כמערכת של שני סדקים.
זה עובר אורך גל אחד נוסף,
ביחס לגל השני.
איזה מרחק נוסף הוא עובר ביחס לגל הראשון?
נמשיך את הקו הזה כלפי מטה.
הוא יעבור שני אורכי גל יותר
מאשר הגל הראשון.
הגל המגיע מהסדק השלישי
עובר שני אורכי גל יותר

Portuguese: 
Então a onda da terceira fenda viaja dois
comprimentos de onda a mais que a primeira
A segunda e a terceira serão construtivas,
pois distam um comprimento de onda
E primeira e terceira serão construtivas,
pois distam dois comprimentos de onda
E tudo bem ser dois
comprimentos de onda
A primeira onda atinge aqui
e a segunda ali
A 3ª onda viaja dois comprimentos
de onda a mais
Quando atinge o anteparo,
estará nesse ponto do ciclo
Estarão todas sobrepondo no mesmo
ponto do ciclo e será construtivo
E podemos continuar
Essa fenda também terá
interferência construtiva
ou seja, a quarta onda viaja um
comprimento de onda além da terceira...
...dois além da segunda, três além da
primeira: a sobreposição continua perfeita
Teremos um ponto muito brilhante, pois
mais fontes de luz estão se somando aqui
Agora vem a parte estranha.
Prestem atenção nessa parte da explicação

Bulgarian: 
от вълната от
първата дупка.
Втората и третата
ще са конструктивни,
понеже са отдалечени
с една дължина на вълната,
и третата и първата
ще са конструктивни,
понеже са отдалечени на
две дължини на вълната.
Това е добре, две дължини
на вълната нямат значение.
Виж, ако първата
дължина на вълната стигне дотук,
вълната от втората дупка
стига дотук,
вълната от третата дупка
изминава
две допълнителни
дължини на вълната.
Когато тази трета вълна
стигне до тази точка,
тя ще е в тази точка
от цикъла си,
чрез припокриване те всички достигат
до същата точка от цикъла си,
това ще е
конструктивна интерференция.
Можеш да продължиш
да правиш така.
Можеш да слезеш
долу до тази дупка
и това също ще е
конструктивна интерференция.
С други думи, вълната
от тази четвърта дупка изминава
една дължина на вълната
повече от третата,
две дължини на вълната
повече от втората,
три дължини на вълната
повече от първата,
но тези пак ще се
припокрият перфектно.
Ще получиш изключително ярка
точка тук,
понеже имаш още повече светлина,
която се припокрива,
и това е перфектно конструктивна
ярка точка.
Тук нещата
стават странни,
така че трябва
да внимаваш.
Това е частта
от обяснението,

English: 
than the 1st hole.
The 2nd and the 3rd are going to be
constructive because
they're one wavelength apart
and the 3rd and the 1st are going to be
constructive because they're
two wavelengths apart.
That's okay, two
wavelengths doesn't matter.
Look at, if the 1st wavelength hits here,
the wave from the 2nd one hits here,
the wave from the 3rd hole travels
two extra wavelengths.
When that 3rd wave gets to this point
it will be at this point on it's cycle
there all going to by overlapping
at the same point on their cycle,
it's going to be constructive.
You can keep doing this.
You can come down to this hole
and it will also be
constructive interference.
In other words, this 4th hole travels
one wavelength further than the 3rd,
two wavelengths further than the 2nd hole,
three wavelengths
further than the 1st hole
but there still all going
to overlap perfectly.
You will get an extremely bright spot here
because you have even
more light overlapping
and it's all perfectly
constructive bright spot.
Now here's where it gets strange
so you've got to be careful.
This is the part of the explanation

iw: 
מאשר הגל מהסדק נראשון.
השני והשלילי יהיו בהתאבכות בונה,
כי הפרש המרחקים ביניהם הוא אורך גל אחד.
השלישי והראשון יהיה בהתאבכות בונה,
כי הפרש המרחקים ביניהם הוא שני אורכי גל.
זה בסדר.
תראו, אם הגל הראשון פוגע כאן,
הגל מהסדק השני פוגע כאן,
והגל מהסדק השלישי עובר
שני אורכי גל נוספים.
כשהגל השלישי מגיע לנקודה הזאת,
הוא יפגע בנקודה הזאת במחזור שלו,
כולם חופפים
באותה נקודה במחזור,
על כן יש התאבכות בונה.
אפשר להמשיך הלאה.
אפשר לבוא לסדק הזה כאן למטה,
וגם הוא יהיה בהתאבכות בונה עם היתר.
במילים אחרות, הגל הרביעי עובר
אורך גל אחד יותר מהשלישי,
שני אורכי גל יותר מהשני,
שלושה אורכי גל יותר מהראשון,
והם עדיין חופפים בצורה מושלמת.
נקבל נקודה בהירה מאד כאן, כי
יש לנו עוד אור מיתר הסדקים, כולם חופפים,
ומתקבלת נקודה בונה מאד בהירה.
עכשיו אנו עוברים לחלק המוזר של
ההסבר, אז כדאי להיזהר.
זה החלק של ההסבר,

Korean: 
두 파장만큼 더 이동합니다
두번째와 세번째는 한 파장만큼
떨어져있기에 보강 간섭하며
세번째와 첫번째는 두 파장만큼
떨어져있기에 보강 간섭합니다
두 파장은 영향을 끼치지 못합니다
만약 첫번째 파장이 여기에 닿으면
두번째는 여기에 닿으며
세번째 구멍으로부터의 파동은
두 개의 파장을 추가로 이동합니다
만약 그 세번째 파동이 이 지점에 도달하면
순환의 이 지점에 닿을 것이며
순환의 같은 지점에서
모두 중첩될 것입니다.
보강 간섭할 것입니다
여러분이 이것을 계속한다면
이 구멍으로 내려와
이또한 보강 간섭을 할 것입니다
다른 표현으로 이 네번째 구멍은
세번째보다 한 파장 더 이동하며
두번째보다 두 파장 더 이동하며
첫번째보다 세 파장 더 이동하지만
여전히 완벽하게 중첩되는 것입니다
여러분은 빛의 많은 중첩때문에
이곳에서 밝은 지점을 얻을 것이며
이는 완벽한 보강 간섭의
밝은 지점입니다
이제 여기에 여러분이 조심해야 할
이상한 부분이 있습니다
제가 학생일때 싫어한

Thai: 
เทียบกับรูที่ 1
รูที่ 2 กับ 3 จะ
เป็นแบบเสริมเพราะพวกมันห่างกัน 
1 ความยาวคลื่น
และตัวที่ 3 กับตัวที่ 1
จะเสริมกันด้วยเพราะพวกมันห่างกัน 
2 ความยาวคลื่น
มันได้เหมือนกัน 
2 ความยาวคลื่นไม่สำคัญอะไร
ลองดู ถ้าความยาวคลื่นแรกกระทบตรงนี้
คลื่นจากรูที่สองกระทบตรงนี้
คลื่นจากรูที่สามเดินทาง
เพิ่มสองความยาวคลื่น
เมื่อคลื่นที่ 3 มาถึงจุดนี้
มันจะอยู่ที่จุดนี้บนวัฏจักร
พวกมันจะทับกันหมด
ตรงจุดเดียวกันของวัฏจักร
มันจะเป็นแบบเสริม
คุณทำแบบนี้ต่อไป
คุณลงมาถึงรูนี้
มันจะเป็นการแทรกสอดแบบเสริม
กล่าวอีกอย่างคือว่า รูที่ 4 นี้เดินทาง
ไกลกว่ารูที่ 3 อยู่หนึ่งความยาวคลื่น
ไกลกว่ารูที่ 2 อยู่สองความยาวคลื่น
ไกลกว่ารูที่ 1 อยู่สามความยาวคลื่น
แต่พวกมันยังคงซ้อนกันพอดี
คุณจะได้จุดที่สว่างมากตรงนี้
เพราะคุณมีแสงให้ทับมากขึ้น
และพวกมันเป็นจุดว่างแบบเสริมโดยสมบูรณ์
ตอนนี้ นี่คือจุดที่มันเริ่มแปลก
คุณต้องระวังด้วย
นี่คือคำอธิบาย

Bulgarian: 
която мразех
като ученик.
Мислех че в това
няма никакъв смисъл.
Обърни внимание
на тази точка.
Ето кое е странно.
Ако леко се отклониш
от тази конструктивна точка,
ако се изкача
само малко ето тук
до някаква точка тук...
Да видим
какво се случва.
Вълната от тази първа дупка
ще измине такова разстояние,
за да стигне дотук,
а вълната от втората дупка
изминава толкова, за да стигне дотук.
Разликата в
дължината на пътя
няма да е
една дължина на вълната.
Да кажем, че разликата
в дължината на пътя
е 1,1 дължини на вълната.
Да кажем, че вълната
от втората дупка
вече не изминава
една дължина на вълната повече,
тя ще изминава
1,1 дължина на вълната повече.
Ако първата вълна
стигнеше до тази точка,

Portuguese: 
Quando estudante, odiava essa parte por
não fazer sentido. Então preste atenção
Isso é estranho
Saindo só um pouco desse ponto
construtivo, veja o que ocorre
A onda da primeira fenda viajará
essa distância até aqui
A onda da segunda fenda viajará
essa distância até aqui
A diferença não é mais
um comprimento de onda
Digamos que a diferença seja
1,1 vez o comprimento de onda
Então a onda da segunda fenda não mais
viajará um comprimento de onda a mais
Viajará 1,1 comprimento
de onda a mais
Então se a primeira onda atinge a parede
nesse ponto, ...

Thai: 
ที่ผมเคยเกลียดตอนเป็นนักเรียน
ผมเคยคิดว่ามันไม่สมเหตุสมผลเท่าไหร่
คุณต้องตั้งใจฟังตรงนี้ดีๆ นะ
นี่คือสิ่งที่ประหลาด
ถ้าคุณเลื่อนไปเล็กน้อยจากจุดเสริมนี้
ถ้าผมขึ้นไปนิดหน่อยตรงนี้
ถึงสักจุดตรงนี้
ลองดูว่าเกิดอะไรขึ้นกัน
คลื่นนี้จากรูที่ 1 จะเดินทาง
ไกลเท่านั้นถึงจุดนั้น โอเค และมีคลื่น
จากรูที่ 2 เดินทางไปไกลเท่านั้นถึงจุดนั้น
ผลต่างความยาวเส้นทาง
จะไม่เท่ากับหนึ่งความยาวคลื่น
สมมุติว่าผลต่างความยาวเส้นทาง
เกิดเป็น 1.1 ความยาวคลื่น
สมมุติว่าคลื่นจากรูที่ 2
เกิดเดินทาง ไม่ได้เป็น 1 ความยาวคลื่น
อีกต่อไป มันไม่เดินทาง
ไกลขึ้น 1 ความยาวคลื่นอีก มันจะ
เดินทางไกลขึ้น 1 กับอีก 0.1 ความยาวคลื่น
ถ้าคลื่นแรกเกิดกระทบ
ที่จุดนี้ คลื่นที่ 2 จะกระทบ

Korean: 
설명이 이 부분입니다
저는 말이 안된다고 생각했었기에
집중하시기 바랍니다
여기 이상한 부분이 있습니다
만약 여러분이 보강 간섭 지점에서
약간 벗어나게 그린다면
이 지점에서 약간 위로
이 지점을 표시하면
어떤 일이 일어나는지 봅시다
첫번째 구멍으로부터의 파동이
저 지점까지 이동하고 두번째
구멍으로부터의 파동이 이동합니다
거리의 길이 차는
한 파장이 아닙니다
거리 길이의 차이가
1.1 파장이라고 합시다
두번째 구멍으로부터의 파동이
이제 더이상
한 파장 더 이동하는 것이
아니고 한 파장을 간뒤
0.1 파장만큼 더 이동합니다
결국 만약 첫번째 파동이 이 부분에
닿으면, 두번째 파동은 정확히 한 파장은 아니고

iw: 
אותו שנאתי בתור סטודנט.
היה לי קשה להבין את ההיגיון שלו,
אז תשימו לב היטב.
זה הדבר המוזר.
נסטה במקצת מהנקודה הבונה,
נעלה במקצת,
לנקודה מסוימת כאן.
נראה מה קורה.
הגל מהסדק הראשון יעבור
את המרחק הזה כדי להגיע לשם, והגל מהסדק
השני יעבור את המרחק הזה כדי להגיע לשם.
הפרש המרחקים לא יהיה
יותר אורך גל אחד.
נגיד שהפרש המרחקים
הוא 1.1 אורכי גל.
נגיד שהגל מהסדק השני,
לא עובר מרחק נוסף של
אורך גל אחד, הוא לא עובר
אורך גל אחד נוסף, הוא
עובר 1.1 אורכי גל נוספים.
אם הגל הראשון פגע
בנקודה הזאת, הגל השני יפגע

English: 
I hated as a student.
I thought this made no sense whatsoever
so pay close attention at this point.
Here's the weird thing.
If you deviate slightly
from this constructive point
if I go up just a little bit over here
to some point right here.
Let's just see what happens.
This wave from the 1st hole would travel
that far to get there okay and the wave
from the 2nd hole travels
that far to get there.
The path length difference isn't
going to be one wavelength.
Let's say the path length difference
happens to be 1.1 wavelengths.
So let's say the wave from the 2nd hole
happened to be traveling
not one wavelength
further anymore, it's not traveling
one wavelength further, it's going to be
traveling 1 and .1 wavelengths further.
So if the 1st wave happened to hit
at this point, the 2nd
wave would be hitting

iw: 
לא בדיוק אחרי אורך גל אחד, אלא 1.1.
אם אמשיך לצייר אותן כאן,
ייגמר לי המקום.
כל אלה הן אותן נקודות
במחזור, המחזור חוזר על עצמו
כל הזמן.
1.1 אורך גל, אצייר זאת כאן.
הגל השני יפגע כאן.
אלה חופפים,
הם בונים בצורה חלקית.
כשמסתכלים על שני אלה בלבד,
אפשר לחשוב שמקבלים נקודה בהירה.
נראה מה קורה.
גם הגל מהסדק השלישי
עובר איזשהו מרחק כדי להגיע לשם.
איזה מרחק נוסף הוא עובר?
הוא עובר 1.1 אורכי גל יותר
מאשר הגל השני, אבל הוא עובר 1.1
ועוד 1.1 אורכי גל יותר
מהגל של הסדק הראשון, כלומר הוא עובר 2.2
אורכי גל יותר מהגל של הסדק הראשון.
ננסה להבהיר זאת.
אעשה את אותו הדבר כמו קודם.
אצייר את זה לזווית ישרה.

Bulgarian: 
втората вълна няма да стигне
точно на една дължина на вълната,
а на 1,1.
Ако продължа да ги
рисувам тук
ще ми свърши мястото.
Тъй като всички те
са на една и съща точка от цикъла си,
цикълът отново и отново
е един и същ.
Една дължина на вълната и 0,1 –
ще начертая това тук.
Втората вълна
ще стигне тук.
Тези ще се припокрият –
това е частично
конструктивна интерференция.
Просто като погледнеш това
ще помислиш,
че ще получиш ярка точка,
но ако продължиш,
да видим какво
ще се случи.
Вълната от третата дупка
също пристига тук.
Колко повече разстояние
изминава?
Изминава 1,1 дължини на вълната
повече от втората вълна,
но изминава 1,1 + 1,1
дължини на вълната повече
от първата вълна,
тоест изминава 2,2 дължини на вълната
повече от първата вълна.
Нека поясня.
Ако направя
същия трик...
Чертая това надолу
до прав ъгъл.

Portuguese: 
a segunda não atingirá defasada de
1 comprimento de onda, mas 1,1
Posso seguir desenhando,
mas ficarei sem espaço
São os mesmos pontos do ciclo defasados
1,1 comprimentos de onda repetidamente
Desenharei aqui a
segunda onda chegando
Haverá interferência
parcialmente construtiva
Olhando apenas os dois parece que será um
ponto claro, mas me acompanhe e verá
A onda da terceira fenda também chega aqui
Quão mais ela viaja?
Viaja 1,1 comprimentos de onda a mais que
a segunda onda,
porém viaja 1,1 + 1,1 = 2,2 comprimentos
de onda a mais que a primeira
Apenas esclarecendo,
é o mesmo conceito usado antes

English: 
at not exactly one wavelength but 1.1.
Now if I keep drawing them over here
I'm going to run out of room.
So since they're all the same points
on the cycle, the cycle's
the same over and over.
One wavelength .1, I'm just going
to draw that right here.
So the 2nd wave would hit right there.
Those would overlap you know,
that's partially constructive.
I mean, just looking at these, you'd think
you'd get a bright spot
but if you keep going
let's see what happens.
The wave from the 3rd hole
also travels to get there.
How much farther does it travel?
Well, it travels 1.1 wavelengths further
than the 2nd hole but it travels 1.1
plus 1.1 wavelengths further than
the 1st hole, so it
travels 2.2 wavelengths
further than the 1st hole.
So to make this clear,
let me just be clear here.
So if I do the same trick right?
I draw this down to a right angle.

Korean: 
1.1 파장 지점에 닿습니다
만약 제가 계속해서 그리게 되면
공간 밖으로 가야 할 것입니다
그들이 모두 순환의 같은 지점
이므로 순환이 계속해서
반복되게 됩니다
1.1 파장을 여기에
그려보겠습니다
결국 두번째 파동이 저기에 닿을 것입니다
이것은 아시다시피
부분적인 보강 간섭을 할 것입니다
여러분이 밝은 지점이라고
생각할 수 있지만 계속 해보면
어떠한 일이 일어나는지 봅시다
세번째 구멍으로부터의 파동이
마찬가지로 거기로 가게 됩니다
얼마나 멀리 갔을까요?
두번째 구멍의 파동으로부터
1.1 파장만큼
멀리 갔지만
첫번째 구멍의 파동으로부터는
1.1 더하기 1.1 즉,
2.2 파장만큼
더 멀리 간 것입니다
따라서 정리해봅시다
만약 제가 같은 것을 반복하면
직각이 되게 그리게 되고

Thai: 
ไม่ใช่หนึ่งความยาวคลื่นพอดีแต่เป็น 1.1
ทีนี้ ถ้าผมวาดมันต่อไปตรงนี้
ผมจะหมดที่วาดแล้ว
เนื่องจากพวกมันอยู่ที่จุดเดียวกัน
บนวัฏจักร วัฏจักร
ซ้ำไปเรื่อยๆ
หนึ่งความยาวคลื่น, 0.1
ผผมจะวาดมันตรงนี้นะ
คลื่นที่ 2 จะกระทบตรงนี้
พวกมันจะซ้อนกัน
พวกมันจะเสริมบางส่วน
ผมหมายความว่า เมื่อดูตรงนี้ คุณคิด
ได้ว่าคุณจะได้จุดสว่าง แต่ถ้าคุณทำต่อ
ลองดูว่าเกิดอะไรขึ้น
คลื่นจากรูที่ 3
เดินทางมาตรงนี้เช่นกัน
มันเดินทางไกลแค่ไหน?
มันเดินทางไกลกว่า 1.1 ความยาวคลื่น
เทียบกับรูที่ 2 แต่มันเดินทาง 1.1
ไกลขึ้น 1.1 ความยาวคลื่นเทียบกับ
รูที่ 1 มันจึงเดินทางไกลขึ้น 2.2 ความยาวคลื่น
เทียบกับรูที่ 1
เพื่อให้ชัดเจน ขอผมบอกให้ชัดหน่อย
ถ้าผมทำแบบเดียวกัน
ผมวาดเส้นนี้ลงมาเป็นมุมฉาก

Bulgarian: 
Малко по-надалеч е,
така че трябва да начертая
тази права
малко по-надалеч
Първата вълна изминава
една дължина на вълната
и 0,1 дължина на вълната
повече.
А тази тук?
Вълната от третата дупка
изминава една дължина на вълната
и 0,1 –
1,1 дължини на вълната
повече от вълната от втората дупка,
но ще измине 1,1 + 1,1
дължини на вълната повече
от първата вълна.
Тоест това
ще е 2,2.
Вълната от третата дупка
ще измине
2,2 дължини на вълната
повече
от вълната
от първата дупка.
Къде ще е това?
2 дължини на вълната
и 0,2 дължина на вълната
ще е още по-надолу.
Не напълно на дъното,
но по-надолу
по правата.
В този точка тук –
и можеш да продължиш
да правиш това
и да видим
какво се случва.
Нека направим
още няколко.
Тази дължина на вълната
трябва да измине толкова разстояние.

Korean: 
조금 더 먼 직선을
그리게 됩니다
첫번째 파동은 한 파장하고
0.1파장만큼 더 이동합니다
여기의 이 것은 어떨까요?
세번째 구멍으로부터의 파동은
두번째 구멍으로부터의 파동보다
1.1 파장만큼 더 이동하지만
첫번째 구멍에서의 파동보다는
1.1 더하기 1.1 파동만큼 더 이동합니다
결국 2.2가 됩니다
세번째 구멍에서의 이 파동은
첫번째 구멍으로부터의 파동보다
2.2 파장만큼 더 이동하게 됩니다
어디가 될까요?
하나, 둘, 그리고 0.2 파장만큼
내려간 지점입니다
아예 바닥은 아니지만
직선의 밑부분입니다
따라서 이것은 이 지점이 되고,
여러분이 계속한다면
어떤 일이 일어나는지 봅시다
두번 더 해봅시다
이 파장은 이만큼 더 이동해야 합니다

Thai: 
มันจะใกล้ขึ้นหน่อย ผมจึงต้องวาด
เส้นไกลขึ้นอีกหน่อย
คลื่นแรกเดินทางไกลขึ้น 1
กับอีก 0.1 ความยาวคลื่น
แล้วอันนี้ตรงนี้ล่ะ?
คลื่นจากรูที่ 3
เดินทาง 1 ความยาวคลื่นกับ 0.1
ไกลขึ้น 1.1 ความยาวคลื่นเทียบกับคลื่น
จากรูที่ 2 แต่มันจะเดินทาง
ไกลจากรูแรก 1.1 บวก 1.1 ความยาวคลื่น
มันจะเป็น 2.2
คลื่นนี้จากรูที่ 3 จะเดินทาง
ไกลขึ้น 2.2 ความยาวคลื่นเทียบกับคลื่น
จากรูที่ 1
มันจะอยู่ตรงไหน?
1, 2 ความยาวคลื่น 0.2 จะ
ลงไปไกลตามเส้นนี้อีก
ไม่อยู่ข้างล่างพอดี แต่
ลงไปตามเส้น
มันจะ ที่จุดนี้ตรงนี้
คุณทำต่อไปเรื่อยๆ แล้ว
ลองดูว่าเกิดอะไรขึ้น
ลองทำอีกกัน
ความยาวคลื่นนี้ต้องเดินทางขนาดนี้

iw: 
זה קצת יותר רחוק, אז עלי לצייר
את הקו קצת יותר הלאה.
הגל השני עובר 1.1 אורכי
גל יותר.
מה בקשר לזה?
הגל מהסדק השלישי
עובר 1.1 אורכי גל
יותר מהגל
של הסדק השני, אבל עובר
1.1 ועוד 1.1 אורכי גל מהגל של הסדק הראשון,
זה 2.2 אורכי גל.
הגל הזה, מהסדק השלישי, עובר
2.2 אורכי גל יותר מהגל
של הסדק הראשון.
איפה זה יהיה?
אורך גל אחד, שניים, 2.2
יהיה עוד יותר רחוק בגרף הזה למטה.
לא לגמרי למטה,
אבל קצת יותר הלאה.
זה יהיה בנקודה הזאת כאן.
נמשיך לעשות את זה
ונראה מה קורה.
נעשה עוד כמה.
הגל הזה צריך לעבור את המרחק הזה.

English: 
It's a little farther so I have to draw
the line a little further out.
1st wave travels one wavelength
and .1 wavelengths further.
How about this one here?
Well, the wave from the 3rd hole
travels one wavelength .1,
1.1 wavelengths further than the wave
from the 2nd hole but it's going to travel
1.1 plus 1.1 wavelengths
further than the 1st hole.
So it's going to be 2.2.
This wave from the 3rd
hole is going to travel
2.2 wavelengths further than the wave
from the 1st hole.
Where would that be?
So, one, two wavelengths .2 would be
even further down the line here.
Not completely at the bottom but
further down the line.
So it would be, at this point over here
and you can keep doing this and let's
just see what happens.
Let's just do a couple more.
This wavelength has to travel this far.

Portuguese: 
Desenho aqui no ângulo certo, só um pouco
mais longe, então a linha será mais longa
Essa onda viaja 1,1 comprimento de onda
a mais que a primeira
E essa aqui? A terceira onda viaja 1,1
comprimento de onda a mais que a segunda
e consequentemente 1,1 + 1,1 = 2,2
comprimentos de onda a mais que a primeira
A terceira onda viaja 2,2 comprimentos
de onda a mais que a primeira
E onde seria isso?
Ainda mais distante aqui
Não inteiramente no fim,
mas bem aqui atrás
E é assim que funciona. Podemos fazer
indefinidamente e ver o que acontece

iw: 
אולי אתם כבר מבינים מה קורה.
הגל מהסדק הרביעי עובר
1.1 אורכי גל יותר מהגל של הסדק
השלישי, הוא עובר 2.2 אורכי גל יותר
מהגל של הסדק השני,
והוא עובר 3.3 אורכי גל יותר
מהגל של הסדק הראשון.
אם נשווה את המקום
בו יהיה הגל הזה במחזור שלו,
ביחס לגל הראשון, זה יהיה
במרחק של 3.3 אורכי גל.
אם אני הולך אחד, שניים, שלושה ואז
3.3 יהיה בערך כאן.
אקבל עוד גל שיהיה ב- 4.4, אקבל עוד
אחד שיהיה ב- 5.5, אקבל עוד אחד ב- 6.6,
אחד ב- 7.7, אחד ב- 8.8, אחד ב- 9.9,
אחד ב- 10.10, שזה כבר
חזרה באורך גל אחד שוב,
הפרש של אורך גל אחד שלם.
מה זה יהיה?
אם כל הגלים האלה חופפים
כמו אלה בנקודה הזאת,
הסוטה במקצת מהנקודה הזאת,
מה נראה כאן?

English: 
Now you can probably see the pattern.
This wave through the
4th hole has to travel
1.1 wavelengths further
than the wave from the 3rd.
It travels 2.2 wavelengths further
than the wave from the 2nd.
It travels 3.3 wavelengths further
than the wave from the 1st.
So if I compare this wavelength
where this wave is on it's cycle
compared to the 1st, then I'm going
to be 3.3 wavelengths.
So if I go one, two, three and then
.3 would be down here somewhere.
I'd get one that's at .4, I'd get one
that at .5, I'd get one that's at .6,
one at .7, one at .8, one at .9,
one at, well .10, which is back to
a whole wavelength again,
a whole wavelengths difference.
What is this going to be?
If all of these waves are overlapping
like this at this point that's only
slightly deviated from this other point.
What am I going to see there?

Portuguese: 
Vejamos com mais algumas e
começaremos a ver um padrão
A onda da quarta fenda viaja 1,1
comprimento de onda a mais que a terceira
viaja 2,2 comprimentos de onda a mais que
a segunda e 3,3 a mais que a primeira
Então comparando a posição no ciclo,
estará defasado 3,3 comprimentos de onda
Então, um, dois,
três vírgula três será algo por aqui
E terei um a 4,4 e outro a 5,5 - 6,6 - 7,7
8,8 - 9,9 ...
... e finalmente 11, que é um
comprimento de onda inteiro novamente
uma diferença inteira de λ
E se todas essas sobreposições vierem
de pontos apenas ligeiramente desviados?
O que veremos?

Bulgarian: 
Вероятно сега можеш
да видиш модела.
Тази вълна през 4-тата дупка
трябва да измине
1,1 дължини на вълната повече
от вълната от третата дупка.
Тя изминава 2,2 дължини на вълната
повече
от вълната
от втората дупка.
Изминава 3,3 дължини на вълната
повече
от вълната
от първата дупка.
Ако сравня тази дължина на вълната,
къде е тази вълна
в цикъла си
в сравнение с
първата,
тогава това ще е
3,3 дължини на вълната.
Ако взема 1, 2, 3,
а после 0,3 ще е някъде тук долу.
Ще получа едно,
което е при 0,4.
Ще получа една, която е при 0,5.
Ще получа една, която е при 0,6.
Една при 0,7. Една при 0,8.
Една при 0,9.
Една при 0,10,
което отново е
разлика от
цяла дължина на вълната.
Какво ще е това?
Ако тези вълни се припокриват така
в тази точка,
която е само малко отклонена
от тази другата точка,
какво ще видя тук?

Thai: 
ตอนนี้คุณน่าจะเห็นรูปแบบแล้ว
คลื่นนี้จากรูที่ 4 ต้องเดินทาง
ไกลกว่ารูที่สาม 1.1 ความยาวคลื่น
มันเดินทางไกลขึ้น 2.2 ความยาวคลื่น
เทียบกับรูที่ 2
มันเดินทางไกลขึ้น 3.3 ความยาวคลื่น
เทียบกับคลื่นจากรูที่ 1
ถ้าผมเปรียบเทียบความยาวคลื่นนี้
ว่าคลื่นนี้อยู่ตรงไหนในวัฏจักร
เทียบกับคลื่นแรก ผม
จะได้ 3.3 ความยาวคลื่น
ถ้าผมไป 1, 2, 3 แล้วก็
0.3 ข้างล่างตรงนี้สักแห่ง
ผมจะได้ตรงที่ 0.4 ผมจะได้ที่
0.5 แล้วผมจะได้ที่ 0.6
ที่ 0.7, ที่ 0.8, ที่ 0.9
ที่ 1.0 ซึ่งกลับมา
ยังความยาวคลื่นเต็มอีกที
ผลต่างความยาวคลื่นเต็มอัน
แล้วอันนี้จะเป็นอะไร?
ถ้าคลื่นทั้งหมดนี้ซ้อนทับกัน
อย่างนี้ที่จุดนี้ มันจะ
ต่างจากจุดอื่นเพียงเล็กน้อย
ผมจะเห็นอะไรตรงนี้?

Korean: 
이제 여러분은 패턴을 볼 수 있을 것입니다
네번째 구멍에서의 이 파동은
세번째 파동으로부터 1.1 파장만큼 더 이동하며
두번째 구멍으로부터의 파동보다는
2.2 파장만큼 더 이동하며
첫번째 구멍에서의 파동보다는
3.3 파장만큼 더 이동할 것입니다
따라서 만약 제가
이 파장을 비교해보면
파동이 순환에서 위치한 부분을
첫번째와 비교하면
3.3 파장만큼 가야 합니다
만약 제가 하나, 둘, 셋, 그리고 0.3
만큼 가면 이 부근이 될것입니다
0.4 지점에서 하나를 얻고,
0.5인 지점에서 하나를 얻고
0.6인 지점에서
하나를, 0.7, 0.8, 0.9인 지점에서 하나를
그리고 1인 지점, 즉
차이가 온전한 한 파장인
지점을 얻게 됩니다
이것은 어떠한 것이 될까요?
만약 이 모든 파동들이 이와 같이
다른 지점에서 약간 빗나간 이 지점에서
중첩된다면
여기에서 저는 무엇을 볼 수 있을까요?

Thai: 
ดูว่าคุณจับคู่พวกมันได้ไหม
จุดนี้กับจุดนี้จะ
แทรกสอดแบบหักล้างโดยสมบูรณ์ได้
อันนี้อยู่ที่จุดสูงสุด อันนี้อยู่ที่จุดต่ำสุด
อันนี้อยู่ที่ยอด อันนี้อยู่ที่ก้น
คุณจึงได้ 0 แล้วคุณก็จับคู่ต่อไปเรื่อยๆ ได้
อันนี้กับอันนั้น
หักล้างกันโดยสมบูรณ์พอดี 
ทำลายโดยสมบูรณ์
คุณทำไปเรื่อยๆ ได้ อันนี้ตรงนี้กับอันนี้ตรงนี้
หักล้างกันสมบูรณ์ แล้วก็คุณ
หาจุดที่หักล้างโดยสมบูรณ์
กันได้เรื่อยๆ และนั่นหมายความว่า
คุณจะไม่ได้ความเข้มเลย
แม้จะขยับจาก
จุดมหัศจรรย์นี้ จุดมหัศจรรย์นี้
ที่คลื่นเป็นจำนวนเต็ม
ความหมายของมันคือว่า แทนที่จะได้ค่าเบลอ
แทนที่จะได้รูปแบบอย่างนี้ แทนที่
จะได้รูปแบบที่เลอะเลือน
คุณจะได้ ที่จุดสว่าง
จุดสว่างแล้วก็จุด
สว่างอีกจุด ระหว่าง
จุดสว่างเหล่านี้ คุณจะได้ความมืด
ซึ่งดี มันดีเพราะ

English: 
Well, look at you could pair these off.
This point and this point are going
to interfere completely destructively.
One's at a maximum, one's at a minimum,
one's at the peak, one's at the trough,
so you get zero and you
can keep pairing these off.
This one here and that one there
completely annihilate each
other, completely destructive.
You keep doing this, this
one here and this one there
completely destructive and you can
keep finding points that completely
destruct each other and that means
that you're going to get no intensity
at all, even slightly off from
this magical point, this magical
integer wavelength point.
What that means is
instead of getting a blur,
instead of getting this, instead of
getting this smudgy pattern.
You're going to get, at the bright spots,
a dot and then another dot at
the bright spot and in between
these bright spots, you will get darkness.
Which is great, it's great because

Bulgarian: 
Виж, можеш
да съчетаеш тези.
Тази точка и тази точка
ще имат напълно деструктивна интерференция.
Едната е при максимум,
едната е при минимум;
едната е при върха,
другата е при долината,
тоест получаваш 0
и можеш да продължиш да съчетаваш тези.
Тази една тук и тази тук
напълно се анихилират,
имат напълно
деструктивна интерференция.
Продължаваш с това –
тази тук и тази тук
са с напълно
деструктивна интерференция.
Можеш да продължиш
да намираш точки,
които напълно се
разрушават взаимно
и това означава, че те няма да имат
никакъв интензитет,
дори леко извън от
тази магическа точка,
тази магическа точка на
дължина на вълната цяло число.
Това означава, че вместо
да получим замъглена картина,
вместо да получим това,
вместо да получиш
този размазан модел,
ще получиш –
при ярките точки –
една точка и после
друга точка при ярката точка
и между тези черни точки
ще получиш тъмнина.

iw: 
אפשר לזווג את הנקודות האלה.
הנקודה הזאת והנקודה הזאת
יתאבכו בצורה לגמרי הורסת.
אחת היא במקסימום, אחת היא במינימום,
אחת היא בשיא, והשנייה בשפל,
מקבלים אפס. אפשר להמשיך לזווג.
זאת כאן, וזאת כאן,
מחסלות אחת את השנייה, לגמרי הורס.
הלאה, זאת כאן וזאת כאן,
לגמרי הורס. אפשר להמשיך
ולמצוא נקודות שהן לגמרי
הורסות אחת את השנייה, כלומר
לא תהיה שום עוצמת אור,
אפילו במרחק מאד קטן
מהנקודה הקסומה הזאת,
נקודת אורכי הגל השלמים.
פירוש הדבר היא שבמקום שנקבל עמעום,
במקום שנקבל את זה,
במקום שנקבל תבנית מרוחה,
נקבל את הנקודות הבהירות האלה,
עוד נקודה בהירה ועוד נקודה
בהירה, וביניהן
נקבל חושך מוחלט.
זה טוב מאד,

Korean: 
이 묶음들을 봅시다
이 지점과 이 지점은
서로 완벽히 상쇄할 것입니다
최대 지점에 한개, 최소 지점에 한개
마루에 한개, 골에 한개
따라서 여러분은 0을 얻을 것이고
계속해서 짝을 지으면
이 지점과 저 지점은
서로를 상쇄할 것입니다
여러분이 계속하면 이 지점과 저 지점은
완벽히 상쇄할 것이고
여러분은 계속해서 서로를 완벽하게
상쇄하는 지점을 찾을 수 있습니다
이것은 빛의 세기가 없는,
파장의 정수배인 신기한 지점에서 약간
벗어났을 뿐인
지점을 얻을 수 있습니다
이것이 의미하는 것은
희미한 지점이 아닌,
여러분은
환한 지점들을 얻으며
또 다른 환한 지점들을 얻는데
그 사이의 부근에서는
어두운 것을 관찰할 수 있습니다
이것은 측정하는 데에

Portuguese: 
Vamos analisar par a par.
Esses dois terão interferência destrutiva
Um no máximo, outro no mínimo.
Um pico e um vale. Logo, se anulam.
E podemos seguir assim.
Esses dois se anulam.
E novamente, esses outros dois se anulam
E sempre encontraremos ondas que
se anulam e tudo ficara escuro
menos nesse ponto, esse ponto mágico
de comprimentos de onda inteiros
Ou seja, ao invés de um borrão, esse
esfumaçado, teremos pontos brilhantes
pontos brilhantes,
e entre eles a escuridão

Thai: 
มันวัดง่ายขึ้น จึงเป็นเรื่องดี
และมันขึ้นอยู่กับความจริงที่ว่า
ถ้าคุณมีรูหลายรู
เป็นร้อยหรือแม้แต่เป็นพันรู
ถ้าคุณขยับออกไปเล็กน้อยๆ
เนื่องจากมันไม่ได้
ตรงกันโดยสมบูรณ์ คุณก็ไล่ลงไปเรื่อยๆ
ตัวหนึ่งจะแทรกสอด
แบบเสริม กับอีกตัว แล้วคุณก็
จับคู่ไป แล้วตัวที่ 2
จะแทรกสอดแบบหักล้าง
กับอีกตัว และตัวที่ 3
กับอีกตัว แล้วก็ตัวที่ 4
กับอีกตัว แล้วพวกมัน
จะคู่กันได้เสมอ คุณจึงทำลายทุกอย่าง
คุณจึงได้จุดแบบหักล้างตรงกลาง
นั่นคือสาเหตุที่มันมืด
ตอนแรก ผมไม่ชอบการให้เหตุผลอย่างนั้น
ผมต้องกลับไปดู และคิดดีๆ
จนแน่ใจว่าผมเข้าใจ
ถ้าคุณไม่เข้าใจ
ลองคิดดู คุณต้องอดทนคิดไปเรื่อยๆ
ลองคิด ลองวาดดู
ผมพยายามอธิบายอย่างดีที่สุดแล้ว
แต่ผมต้องยอมรับ เรื่องนี้มัน
ซึมซับได้ยาก แต่แนวคิดก็มีเท่านั้น
ที่จริงแล้ว มันเป็นเรื่องดี
รูหลายรูพวกนี้ทำให้เรา
ได้จุดสว่างที่

Portuguese: 
E isso é ótimo, porque fica fácil medir
e essa ótima característica deve-se às
múltiplas fendas, às centenas e milhares
Afastando só um pouco já
não encaixarão perfeitamente
Um interferirá com outro e podemos
continuar formando pares destrutivos
E a segunda terá interferência destrutiva
com outra diferente
e o mesmo com a terceira, quarta, sempre
haverá um par destrutivo no meio
Por isso é escuro
A princípio não gostei desse argumento,
voltei várias vezes até assimilar
Se não fez sentido para você, use a força
bruta! Desenhe!
Fiz o melhor para tentar explicar, mas
admito que é difícil compreender

Korean: 
편리하므로 좋으며
이는 만약 여러분이
100개 혹은 1000개의 여러개의
구멍을 얻었을 때
조금만 빗겨 나가도
항상 완벽하게 맞을 수는 없기에
이것들이
다른 것들과 서로
보강간섭하며 여러분은 계속해서
이것들을 짝지으며
두번째는 다른 것과 상쇄되고
세번째는 또다른 것과 상쇄되며
네번째는 다른 것과 상쇄되게
항상 여러분이
그들을 짝지어 없앨 수 있어 상쇄 지점을
얻을 수 있다는 사실에 근거합니다
이것이 어두운 이유입니다
처음에 저는 이 주장이 좋지 않았습니다
저는 다시 돌아가 이해할 수
있게 만들어야 했습니다
만약 이것이 여러분에게
말이 안되게 느껴지면 여러분은
시도하여 이해해야 합니다
저는 제가 할 수 있는한 쉽게
설명하려 하였으나 이것이 어렵다는 것을
인정할 수 밖에 없습니다
그래서 이것이 대단한 것입니다
이 여러개의 구멍들은
서로 간격을 둔

Bulgarian: 
Което е чудесно,
понеже е по-лесно да измерим това,
така че това е
едно хубаво нещо
и разчита на факта,
че ако имаш
множество дупки,
стотици, дори хиляди
дупки,
ако дори леко се отклониш –
понеже това няма винаги
да съвпадне перфектно –
продължаваш надолу
по правата,
едно от тези ще интерферира
конструктивно с някое друго
и можеш да продължаваш
да ги съчетаваш,
а после второто ще има
деструктивна интерференция с някоя точка,
а третото с друга
и четвъртото с друга,
и те винаги ще се съчетаят,
така че можеш да
унищожиш всички тях
и по средата ще получиш
деструктивна точка.
Затова това е тъмно.
Отначало не ми харесваше
този аргумент.
Трябваше да го прегледам отново
и да се уверя,
че виждам логиката.
Ако не виждаш логиката,
гледай го отново,
трябва да го разбереш –
изпробвай го,
начертай го.
Опитах възможно най-добре
да го обясня тук,
но трябва да призная,
че това е трудно за разбиране,
ала това е идеята.
Всъщност това
е чудесно.
Тези множество дупки
ни дават точки,

English: 
it's easier to measure
so that's one good thing
and it relies on this fact that
if you've got multiple holes,
100's even 1,000's of holes,
if you go off even slightly
because this isn't going to always
match up perfectly, you
keep going down the line
one of these are going to interfere
constructively with
another and you can keep
pairing these off and then the 2nd
would interfere destructively with
a different one and the 3rd with
a different one and the 4th with
a different one and they're always
going to match up so
you can destroy them all
and you get destructive point in between.
That's why it's dark.
Now at first I didn't like that argument.
I had to go back over that and make sure
that made sense to me.
If it doesn't make sense to you
go through, you've got to hammer it out,
try it out, draw it out.
I've tried my best to explain it here
but I have to admit, it's a difficult
one to comprehend but that's the idea.
So this is great actually.
These multiple holes here are giving us
points that are points that are

iw: 
כי ככה יותר קל למדוד. זה דבר טוב,
והוא נשען על העובדה
שיש לנו הרבה סדקים,
מאות או אפילו אלפים.
אם סוטים קצת מהנקודה הבהירה,
זה לא יתאים בצורה מושלמת,
כי אם נמשיך להסתכל על עוד סדקים,
אחד מהם יתאבך בצורה
הורסת עם אחר, וניתן להמשיך
לזווג אותם, ואז השני
יתאבך בצורה הורסת
עם אחר, והשלישי
עם אחר, והרביעי
עם אחר, והם תמיד
יתאימו כך שהם יחסלו אחד את השני,
ומקבלים התאבכות הורסת.
בגלל זה יש חושך.
בהתחלה לא אהבתי את ההנמקה הזאת.
נאלצתי לחזור עליה כדי לוודא
שהיא נשמעת לי הגיונית.
אם זה לא נשמע לכם הגיוני,
תעברו על זה, עליכם "לנצח" את זה.
נסו זאת, ציירו לכם את הגרף.
עשיתי כמיטב יכולתי כדי להסביר,
אך עלי להודות שזה דבר
לא פשוט, אבל זה הדבר.
זה דבר חשוב.
הסדקים המרובים האלה נותנים
לנו נקודות בהירות וברורות,

Korean: 
점들을 얻게 합니다
이제 저는 거리를 측정하고자 할때
예상이 아닌 명확한 값을 알 수 있습니다
이제 점들은 명확한 위치에 있고
예상하지 않아도 됩니다
이것은 이게 대단한 이유입니다
다른 대단한 것은, 제가 많은 구멍들을 가지기에
밝기가 오래 유지된다는 것입니다
이 밝은 지점들은 멀리까지 가며
저는 이 이동을 이전보다 더 멀리
직선의 밑 방향으로 계속하여 볼 수 있습니다
상호작용하는 여러 개의 구멍들을 제가 가졌기에
저는 더 밝은
점들을 얻을 수 있습니다
그 점들은 더 밝게
잘 묘사되며
더 강합니다
그래서 우리는 이것이 매우 유용하기에
이중 슬릿이라는 이름 대신에
새로운 이름을 붙여주었는데
이 유용한 것들을
회절격자라고 합니다
따라서 이 회절격자는
이중 슬릿보다 더 유용하며
많은 방법에서 여러분에게
명확히 묘사된 점들을
제공합니다

Bulgarian: 
които точки са раздалечени
и ясно разграничени.
Сега мога да ги видя ясно.
Ако исках да измеря това разстояние,
не е нужно да предполагам.
Няма нужда от предположения.
Едната точка е тук, едната е тук,
ярка, ярка, няма замъгляване.
Това му е хубавото
на това.
Другото чудесно нещо е,
че понеже имам повече дупки,
тази яркост
продължава по-дълго.
Тези ярки точки
ще продължат по-надалеч,
ще видя, че това продължава
по-надалеч надолу по правата,
отколкото със
"замъгления" случай,
понеже имам повече дупки,
които си взаимодействат,
и ще имам
по-интензивни точки,
това е по-ярко.
Точките са
по-ярко очертани
и обикновено са
по-ярки,
по-интензивни.
Даваме специално
име на това,
понеже е толкова полезно –
тези множество дупки са
по-полезни от двата процепа.
Наричаме това
дифракционна решетка.
Това е дифракционна
решетка
и е, по много начини,
по-полезно от двата процепа,
понеже ти дава
много ясно очертани точки
и ти позволява да
ги видиш по-ясно.

English: 
spaced out and clearly delineated.
Now I can clearly see, okay if I wanted
to measure this distance
I don't have to guess.
There's no guesswork, one dot's here
one dot's there, bright,
bright, no smudginess.
That's one great thing about this.
The other great thing is
because I've got more holes,
this brightness lasts longer.
These bright spots will
keep going further,
I can see this travel further
down the line then I
would with the smudginess
because I've got multiple holes
interacting and I'll have more
intense dots, it's brighter.
The dots are more delineated
and they're typically brighter,
they're more intense.
So we give this a special name
because this is so useful,
these multiple holes
instead of a double slit,
these multiple holes are more useful.
We call this a diffraction grating.
So this is a diffraction grating
and it's more useful than a double slit
in many ways because it gives you
clearly delineated dots and it let's
you see them more clearly.

Portuguese: 
Mas o resultado é excelente. De múltiplas
fendas obtemos pontos claros bem definidos
Agora vejo claramente. E se quiser medir,
não precisarei "chutar" limites
Não há "achismo". Há um ponto claro aqui,
outro ali. Sem borrões
E isso é ótimo
Outra vantagem é: como tenho mais fendas,
os pontos claros vão até mais longe
Posso ver claramente e sem borrões,
mesmo longe do centro
E como tenho múltiplas fendas interagindo
temos pontos mais brilhantes e delineados
São mais brilhantes e intensos
E como são muito mais úteis que a fenda
dupla, damos um nome específico:
Chamamos Grade de difração
E é mais útil que a fenda dupla porque
fornece pontos mais claros e delineados

Thai: 
กระจายสม่ำเสมอและคมขึ้นชัดเจน
ตอนนี้ผมเห็นได้ชัดว่า ถ้าผมอยาก
วัดระยะห่าง ผมก็ไม่ต้องเดาแล้ว
ไม่มีอะไรต้องเดา จุดหนึ่งอยู่ตรงนี้
จุดหนึ่งตรงนี้ สว่าง สว่าง 
ไม่มีการเลือนระหว่างกลาง
นั่นคือเรื่องดีสำหรับรูแบบนี้
เรื่องดีอีกอย่างคือว่า เนื่องจากผมมีรูมากขึ้น
ความสว่างจะอยู่นานขึ้น
จุดสว่างเหล่านี้จะอยู่ห่างกัน
ผมเห็นได้ว่าตัวนี้ไปไกล
ขึ้นตามเส้นมากขึ้น
เพราะผมมีหลายรู
มีอันตรกิริยาต่อกัน และผมจะมี
จุดเข้มมากขึ้น มันสว่างขึ้น
จุดจะคมขึ้น
และพวกมันมักสว่างขึ้น
พวกมันเข้มขึ้น
เรามีชื่อเรียกพิเศษ
เพราะมันมีประโยชน์มาก รูหลายรูเหล่านี้
แทนที่จะเป็นสลิตคู่
รูหลายรูพวกนี้มีประโยชน์กว่า
เราเรียกมันว่าเกรตติ้งเลี้ยวเบน
อันนี้คือเกรตติ้งเลี้ยวเบน
มันมีประโยชน์กว่าสลิตคู่
ในหลายแง่เพราะมันให้
จุดที่คมชัดขึ้น แล้วมัน
คุณเห็นมันชัดเจนกว่า

iw: 
המרוחקות אחת מהשנייה.
עכשיו ברור שאם עלי
למדוד את המרחק הזה, איני צריך לנחש.
אין צורך בניחושים, נקודה אחת כאן
אחת שם, בהיר, בהיר, בלי מריחות.
זה דבר טוב מאד.
עוד דבר טוב הוא, שבגלל שיש יותר סדקים,
הבהירות הזאת מחזיקה יותר מעמד.
הנקודות האלה ימשיכו הלאה,
נוכל לראות אותן הלאה
כלפי מטה, ללא מריחה,
כי יש לנו הרבה סדקים
באינטרקציה ביניהם, והנקודות
יותר חזקות, זה יותר בהיר.
רואים יותר טוב את מתווה הנקודות,
והן הרבה יותר בהירות,
בעלות עוצמה יותר גדולה.
למערכת הזאת יש שם מיוחד,
כי היא מאד מועילה.
המערכת של סדקים מרובים
יותר מועילה ממערכת שני הסדקים.
אנו קוראים לה סריג עקיפה.
זה סריג עקיפה,
והוא יותר מועיל משני הסדקים
בצורות רבות. הוא נותן
מתווה ברור של נקודות בהירות
אותן ניתן לראות בצורה יותר ברורה.

iw: 
כמה סדקים יש בסריג עקיפה?
בדרך כלל, מדברים
על קווים לסנטימטר.
במילים אחרות, אם לוקחים סריג עקיפה
ושואלים כמה סדקים יש בו,
כמה סדקים או כמה קווים,
מדובר על מספר קווים לסנטימטר.
הקווים יכולים להיות החלקים החסומים לאור,
והסדקים יכולים להיות החלקים
שאינם חסומים לאור.
זה לא משנה, יש אותו מספר
קווים כמו מספר הסדקים.
כמה סדקים יש לסנטימטר?
בדרך כלל, יש אלפי סדקים
לסנטימטר בסריג עקיפה.
הם מאד צמודים אחד לשני.
אולי אתם דואגים לסיבוך
מתמטי כלשהו,
עם כל כך הרבה סדקים.
אין סיבוך.
זה החלק הטוב ביותר.
זה החלק הטוב ביותר במידה רבה.
הקשר הזה ממשיך להתקיים.
כל המתמטיקה שעשינו קודם מחזיקה מעמד.
כל אלה מסתדרים
עבור הנקודות הטובות, הנקודות הקסומות,
הנקודות בהן כל אלה חופפים
בצורה כזאת שהם במרחק של אורך גל אחד.
כל אלה מסתדרים יפה, כך
שלא משנה כמה סדקים יש הלאה,

Korean: 
열마나 많은 구멍들이 있을까요?
대부분의 경우에서 그들은
cm 단위로 세어집니다
다른 표현으로 만약 여러분이 회절 격자에
얼마나 많은 구멍이 있는지
물어보는 표현에는
얼마나 많은 구멍이 1cm 당 있나요?
선은 막힌 부분과
구멍 즉, 막히지 않은 부분으로
이루어져 있는데
상관없이 그곳에는
구멍이 많은 만큼 선도 많을 것입니다
얼마나 많은 구멍들이 1cm에 있을까요?
대부분의 경우에 1000개의 선들이
회절격자 1cm에 존재합니다
매우 가까이 있습니다
여러분은 이 부분에서
수학이 복잡하다고 우려할 수 있습니다
여기에 구멍들이 있습니다
이것은 없는 것처럼 보입니다
이것이 중요한 부분입니다
가장 중요한 부분입니다
이 관계는 여전히 유효합니다
우리가 했던 모든 수학이
신기한 부분들에 대해서
여전히 성립합니다
그들이 중첩되는 지점에서
한 파장만큼 더 가기에
선에 얼마나 많은 구멍이 있는가에
상관없이 완벽하게

Bulgarian: 
Колко дупки има в една
дифракционна решетка?
Обикновено са отбелязани
като линии на сантиметър.
С други думи, ако вземеш
една дифракционна решетка
и попиташ
колко процепи има...
Линиите,
или процепите.
Колко дупки има
на сантиметър?
Линиите могат да са
блокираните части,
а дупките ще са частите,
където няма блокирана част,
но въпреки това
ще има толкова линии,
колкото дупки.
Колко дупки има
на сантиметър?
Обикновено една дифракционна решетка
е с хиляди линии на сантиметър.
На толкова малко разстояние
са отдалечени една от друга.
Може би се тревожиш дали
изчисленията няма да са сложни.
Понеже имаме
всички тези дупки тук.
Оказва се,
че отговорът е не.
Това е
най-добрата част.
Най-добрата част
дотук.
Тази зависимост
пак е вярна.
Всички изчисления, които направихме,
пак са верни,
понеже тези се подреждат
за "добрите" точки, магическите точки.
Тези точки, в които всички те се припокриват
по такъв начин,
че са на една допълнителна
дължина на вълната.
Тези се подреждат перфектно,
така че без значение
колко дупки имаш,

Thai: 
เกรตติ้งเลี้ยวเบนมีกี่รู?
โดยทั่วไป พวกมันกำหนดมา
เป็นจำนวนเส้นต่อเซนติเมตร
กล่าวอีกอย่างคือ ถ้าคุณนำเกรตติ้งเลี้ยวเบนมา
แล้วถามว่า มีรูกี่รู?
เส้นหรือรู
มีรูกี่รูต่อเซนติเมตร?
เส้นเหล่านี้คือส่วนที่กั้นแสดง
และรูคือส่วน
ที่ไม่ถูกบัง
แต่ไม่่ว่ายังไง มันจะมี
จำนวนเส้นเท่ากับจำนวนรู
มีรูกี่รูต่อเซนติเมตร?
มันมักมีเป็นพันเส้น
ต่อเซนติเมตรในเกรตติ้งเลี้ยวเบน
นั่นคือความน้อยของระยะห่าง
แต่คุณอาจสงสัยว่า คณิตศาสตร์ที่ใ้
มันจะไม่ซับซ้อนเหรอ?
เรามีรูทั้งหลายตรงนี้
ปรากฏว่ามันไม่ยาก
นี่คือเรื่องดี
เป็นเรื่องดีที่สุด
ความสัมพันธ์นี้ยังเป็นจริง
เลขที่เราทำ ยังคงใช้ได้
และเนื่องจากพวกมันเรียงตัวกันหมด
เพื่อให้ได้จุดที่ดี จุดพิเศษ
จุดเหล่านี้ที่คลื่นทั้งหมดซ้อน
แบบที่พวกมันห่างกันหนึ่งความยาวคลื่นพอดี
พวกมันเรียงตัวกันสมบูรณ์
จนไม่ว่าคุณจะลงไปตามรูกี่รู

English: 
How many holes are there
in a diffraction grating?
Well typically, these are rated
in lines per centimeter.
In other words, if you
took a diffraction grating
and you asked, how many holes are there?
The lines or the holes.
How many holes are there per centimeter?
Well, the lines could be the blocked parts
and the holes could be the parts
where there's no blocked part
but regardless, there will be as many
lines as there are holes.
How many holes are there per centimeter?
There's typically 1,000's of lines
per centimeter in a diffraction grating.
That's how small these
are spaced together.
You might worry though, isn't the math
going to be complicated here?
We've got all these holes here.
It turns out no.
This is the best part.
By far the best part.
This relationship still holds.
All that math we did, still fine
and because these all line up
for the good points, the magic points.
These points where they all overlap
in such a way that they're
one wavelength further.
Those line up perfectly so that
no matter how many holes
you go down the line,

Portuguese: 
E quantas fendas há
em uma rede de difração?
Geralmente medimos
em linhas por centímetro
Em outras palavras, para uma rede de
difração você pergunta: Quantos furos tem?
Linhas ou furos.
Quantos furos por centímetro?
As linhas podem ser as partes bloqueadas e
os furos as partes abertas
de qualquer maneira, haverá
o mesmo número de linhas e furos
Quantos furos por centímetro? É comum
serem milhares de furos por centímetro
Isso mostra o quanto estão próximos
E você pode perguntar: Estando tão
agrupados, não fica difícil ver os pontos?
A resposta é não.
E essa é de longe a melhor parte
As relações se mantém e toda a matemática
que fizemos antes continua valendo
Esses bons e mágicos pontos se sobreporão
defasados comprimentos de onda inteiros
Alinham tão perfeitamente que independente
de quantos furos temos

Bulgarian: 
всички те се интерферират
напълно конструктивно
и получаваш
това уравнение.
Това е същото уравнение,
което имахме преди,
при което d синус тита
е равно на m ламбда
и това ти дава
конструктивните точки
за интерференчната картина, която ще видиш на стената, на една дифракционна решетка.

iw: 
כל אלה מתאבכים בצורה בוהנה מושלמת,
מקבלים את הנוסחה הזאת.
אותה נוסחה שהייתה לנו קודם, בה
d כפול סינוס טטה שווה m כפול למבדה,
והי נותנת לנו את הנקודות הבונות
בתבנית ההתאבכות של
סריג עקיפה על המסך.

English: 
they're all perfectly
constructively interfering
and so you get this equation.
It's the same equation that we had before
where d sin theta equals m lambda
gives you the constructive points
for a diffraction grating interference
pattern on the wall.

Thai: 
พวกมันจะแทรกสอดแบบเสริมโดยสมบูรณ์
แล้วคุณจะได้สมการนี้
มันคือสมการเดียวกับที่เรามีก่อนหน้า
ว่า d ไซน์เธต้าเท่ากับ m แลมดา
จะให้จุดแบบเสริม
สำหรับรูปแบบการแทรกสอดเกรตติ้งเลี้ยวเบน
บนผนัง

Korean: 
보강 간섭하게 됩니다
따라서 여러분은 이 수식을 얻을 수 있습니다
이것은 우리가 이전에 했던 것인
d 사인 세타가 m 람다와 같을 때
회절 격자에서 벽에
보강 간섭 패턴을 나타낸다는 것과
같은 수식입니다

Portuguese: 
A interferência será construtiva e
teremos essa equação
A mesma equação dá os pontos construtivos
em uma rede de difração: dsen(θ) = mλ
Legendado por Bruno HOL
