# Weird science question of the day \[photon bouncing between two mirrors\]

**URL:** <https://boards.straightdope.com/t/weird-science-question-of-the-day-photon-bouncing-between-two-mirrors/687706>\
**Category:** Factual Questions\
**Created:** [May 5, 2014, 1:26pm UTC](https://boards.straightdope.com/t/weird-science-question-of-the-day-photon-bouncing-between-two-mirrors/687706 "2014-05-05T13:26:34Z")\
**Posts on this page:** 20\
**Page:** 1

<div class="post-metadata">

**Author:** ![mandala](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/mandala/32/95_2.png) [@mandala](https://boards.straightdope.com/u/mandala)\
**Post date:** [May 5, 2014, 1:26pm UTC](https://boards.straightdope.com/t/weird-science-question-of-the-day-photon-bouncing-between-two-mirrors/687706/1 "2014-05-05T13:26:34Z")

</div>

Imagine two parallel, perfectly reflective polished mirrors. Now imagine a few photons bouncing between the mirrors, exactly perpendicular to the mirrors. Question: will the photons bounce forever? Will they be absorbed eventually by the surface of the mirrors, or gradually lose energy by some mechanism?

At a practical level, what would happen if I stood between two really good, expensive mirrors? Would my reflection persist forever, until something came in between to absorb the photons?

---

<div class="post-metadata">

**Author:** ![Joey\_P](https://avatars.discourse-cdn.com/v4/letter/j/919ad9/32.png) [@Joey\_P](https://boards.straightdope.com/u/Joey_P)\
**Post date:** [May 5, 2014, 1:29pm UTC](https://boards.straightdope.com/t/weird-science-question-of-the-day-photon-bouncing-between-two-mirrors/687706/2 "2014-05-05T13:29:39Z")

</div>

> [@mandala](#):
>
> Imagine two parallel, perfectly reflective polished mirrors.

No, I know where this is going, the answer is no.

> [@](#):
>
> Now imagine a few photons bouncing between the mirrors, exactly perpendicular to the mirrors. Question: will the photons bounce forever?

No

> [@](#):
>
> Will they be absorbed eventually by the surface of the mirrors

Yes

---

<div class="post-metadata">

**Author:** ![Mangetout](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/mangetout/32/19_2.png) [@Mangetout](https://boards.straightdope.com/u/Mangetout)\
**Post date:** [May 5, 2014, 1:32pm UTC](https://boards.straightdope.com/t/weird-science-question-of-the-day-photon-bouncing-between-two-mirrors/687706/3 "2014-05-05T13:32:37Z")

</div>

Even if such perfect reflectors existed, and the photons did bounce back and forth forever, you wouldn’t be able to see the reflected image - because seeing it involves intercepting the photons.

---

<div class="post-metadata">

**Author:** ![Chronos](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/chronos/32/134_2.png) [@Chronos](https://boards.straightdope.com/u/Chronos)\
**Post date:** [May 5, 2014, 3:00pm UTC](https://boards.straightdope.com/t/weird-science-question-of-the-day-photon-bouncing-between-two-mirrors/687706/4 "2014-05-05T15:00:22Z")

</div>

Any question which starts with “What if there were a perfect \_\_\_\_” is always setting up for failure, no matter what goes in the blank, because there’s never a perfect whatever-it-is. One can make extremely good mirrors, that reflect 99.99% of the light that hits them, but even that small percentage that doesn’t reflect adds up quickly, when you’re talking about something that moves as fast as light.

---

<div class="post-metadata">

**Author:** ![engineer\_comp\_geek](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/engineer_comp_geek/32/504_2.png) [@engineer\_comp\_geek](https://boards.straightdope.com/u/engineer_comp_geek)\
**Post date:** [May 5, 2014, 3:20pm UTC](https://boards.straightdope.com/t/weird-science-question-of-the-day-photon-bouncing-between-two-mirrors/687706/5 "2014-05-05T15:20:38Z")

</div>

**Moderator Note**

Thread title edited to more clearly indicate the topic. Please use more descriptive thread titles in the future.

---

<div class="post-metadata">

**Author:** ![engineer\_comp\_geek](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/engineer_comp_geek/32/504_2.png) [@engineer\_comp\_geek](https://boards.straightdope.com/u/engineer_comp_geek)\
**Post date:** [May 5, 2014, 3:30pm UTC](https://boards.straightdope.com/t/weird-science-question-of-the-day-photon-bouncing-between-two-mirrors/687706/6 "2014-05-05T15:30:25Z")

</div>

Two mirrors with a photon bouncing between them is actually a fairly important concept to understanding relativity. There’s a brief explanation of it here:

[http://www.physicsforidiots.com/relativity.html](http://www.physicsforidiots.com/relativity.html)

In the real world though (which is what the OP is asking about) you have a few problems. As was already pointed out, in the real world we can’t make perfectly reflective mirrors. We can’t make perfectly flat mirrors or make them perfectly parallel either.

And if we somehow could make two perfectly flat parallel mirrors, you have a simple geometric problem in that there is no way to insert a photon from outside of the mirrors in such a way that it will end up bouncing between the two mirrors on a path that is perpendicular to the mirrors.

That makes all of the applications of two parallel mirrors purely theoretical.

---

<div class="post-metadata">

**Author:** ![TriPolar](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/tripolar/32/3008_2.png) [@TriPolar](https://boards.straightdope.com/u/TriPolar)\
**Post date:** [May 5, 2014, 3:41pm UTC](https://boards.straightdope.com/t/weird-science-question-of-the-day-photon-bouncing-between-two-mirrors/687706/7 "2014-05-05T15:41:15Z")

</div>

> [@engineer\_comp\_geek](#):
>
> And if we somehow could make two perfectly flat parallel mirrors, you have a simple geometric problem in that there is no way to insert a photon from outside of the mirrors in such a way that it will end up bouncing between the two mirrors on a path that is perpendicular to the mirrors.

Why can’t you just place them far enough part that you have time to move one of the mirrors into place after sending the photon toward the other one?

---

<div class="post-metadata">

**Author:** ![bob\_2](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/bob_2/32/3341_2.png) [@bob\_2](https://boards.straightdope.com/u/bob_2)\
**Post date:** [May 5, 2014, 4:00pm UTC](https://boards.straightdope.com/t/weird-science-question-of-the-day-photon-bouncing-between-two-mirrors/687706/8 "2014-05-05T16:00:07Z")

</div>

> [@TriPolar](#):
>
> Why can’t you just place them far enough part that you have time to move one of the mirrors into place after sending the photon toward the other one?

a - they have to be in a vacuum  
b - those buggers move real fast…

---

<div class="post-metadata">

**Author:** ![TriPolar](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/tripolar/32/3008_2.png) [@TriPolar](https://boards.straightdope.com/u/TriPolar)\
**Post date:** [May 5, 2014, 4:07pm UTC](https://boards.straightdope.com/t/weird-science-question-of-the-day-photon-bouncing-between-two-mirrors/687706/9 "2014-05-05T16:07:19Z")

</div>

> [@bob\_2](#):
>
> a - they have to be in a vacuum  
> b - those buggers move real fast…

Ok, but if we can make perfect mirrors I’m sure we could place them a few 100,000 miles apart in space.

Also, I have no idea how it works or relates to the initial question, but what if there was some Bose-Einstein condensate in between the mirrors slowing down the photons? Do they follow a straight path through that stuff?

---

<div class="post-metadata">

**Author:** ![Leo\_Bloom](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/leo_bloom/32/10377_2.png) [@Leo\_Bloom](https://boards.straightdope.com/u/Leo_Bloom)\
**Post date:** [May 5, 2014, 4:46pm UTC](https://boards.straightdope.com/t/weird-science-question-of-the-day-photon-bouncing-between-two-mirrors/687706/10 "2014-05-05T16:46:42Z")

</div>

> [@mandala](#):
>
> …  
> At a practical level, what would happen if I stood between two really good, expensive mirrors? Would my reflection persist forever, until something came in between to absorb the photons?

> [@Mangetout](#):
>
> Even if such perfect reflectors existed, and the photons did bounce back and forth forever, you wouldn’t be able to see the reflected image - because seeing it involves intercepting the photons.

“…Lovers—were not the other present, always spoiling the view…”

from the Eighth Duino Elegy  
…  
We’ve never, no, not for a single day,  
pure space before us, such as that which flowers endlessly open into:  
always world, and never nowhere without no:  
that pure, unsuperintended element one breaths,  
endlessly knows, and never craves.  
A child sometimes gets quietly lost there, to be always jogged back again. Or someone dies and _is_ it.  
For, nearing death, one perceives death no longer,  
and stares ahead—perhaps with large brute gaze. Lovers—were not the other present, always  
spoiling the view…  
draw near to it and wonder. . . .  
Behind the other, as though through oversight, the thing’s revealed . . .  
…  
Translation by J.B. Leishman and Stephen Spender

Wir haben nie, nicht einen einzigen Tag,  
den reinen Raum vor uns, in den die Blumen  
unendlich aufgehn. Immer ist es Welt  
und niemals Nirgends ohne Nicht: das Reine,  
Unüberwachte, das man atmet und  
unendlich weiß und nicht begehrt. Als Kind  
verliert sich eins im Stilln an dies und wird  
gerüttelt. Oder jener stirbt und ists.  
Denn nah am Tod sieht man den Tod nicht mehr  
und starrt hinaus, vielleicht mit großem Tierblick.  
Liebende, wäre nicht der andre, der  
die Sicht verstellt, sind nah daran und staunen . . .  
Wie aus Versehn ist ihnen aufgetan  
hinter dem andern . . .

---

<div class="post-metadata">

**Author:** ![Learjeff](https://avatars.discourse-cdn.com/v4/letter/l/94ad74/32.png) [@Learjeff](https://boards.straightdope.com/u/Learjeff)\
**Post date:** [May 5, 2014, 4:51pm UTC](https://boards.straightdope.com/t/weird-science-question-of-the-day-photon-bouncing-between-two-mirrors/687706/11 "2014-05-05T16:51:59Z")

</div>

> [@engineer\_comp\_geek](#):
>
> And if we somehow could make two perfectly flat parallel mirrors, you have a simple geometric problem in that there is no way to insert a photon from outside of the mirrors in such a way that it will end up bouncing between the two mirrors on a path that is perpendicular to the mirrors.
> 
> That makes all of the applications of two parallel mirrors purely theoretical.

Well, since we’re making stuff up, let’s make one of them a perfect one-way mirror! 😉

---

<div class="post-metadata">

**Author:** ![Chronos](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/chronos/32/134_2.png) [@Chronos](https://boards.straightdope.com/u/Chronos)\
**Post date:** [May 5, 2014, 5:18pm UTC](https://boards.straightdope.com/t/weird-science-question-of-the-day-photon-bouncing-between-two-mirrors/687706/12 "2014-05-05T17:18:48Z")

</div>

You can make a mirror that comes really close to being perfectly reflective. But you can’t make a mirror that is at all, in the slightest degree, “one-way”. What people really mean by a “one-way mirror” is a partially-reflective window between two rooms, where one of the rooms is dark. Flip the light switches in both rooms, and without doing anything to the mirror itself, it will suddenly appear to be “one-way” the other way.

---

<div class="post-metadata">

**Author:** ![ZenBeam](https://avatars.discourse-cdn.com/v4/letter/z/3ab097/32.png) [@ZenBeam](https://boards.straightdope.com/u/ZenBeam)\
**Post date:** [May 5, 2014, 5:46pm UTC](https://boards.straightdope.com/t/weird-science-question-of-the-day-photon-bouncing-between-two-mirrors/687706/13 "2014-05-05T17:46:39Z")

</div>

If you _had_ two perfectly flat, parallel perfect mirrors, and you had a photon travelling between them perfectly aligned, and they were far enough apart that you could slide one of the mirrors in place between bounces, the photon _still_ wouldn’t bounce forever, because it would spread transverse to its propagation direction (i.e. radially). A photon (or electromagnetic wave) of finite extent will still spread transverse to its propagation direction. Eventually, most of the photon would not be hitting the mirror, and it would scatter in some other direction.

---

<div class="post-metadata">

**Author:** ![mandala](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/mandala/32/95_2.png) [@mandala](https://boards.straightdope.com/u/mandala)\
**Post date:** [May 5, 2014, 8:03pm UTC](https://boards.straightdope.com/t/weird-science-question-of-the-day-photon-bouncing-between-two-mirrors/687706/14 "2014-05-05T20:03:49Z")

</div>

The construct of parallel mirrors I intended to use merely to present the problem of what happens to photons as they bounce around a highly/perfectly reflective surface. You can equally imagine a long closed cylinder with the same “perfectly reflective” mirror coating inside to explore this problem. The requirement of parallel surfaces is no longer relevant.

Same question: what happens to the photons - do they bounce around forever or do they lose energy in some way? Would a significant fraction of photons be lost to tunneling? Would they persist for years until some sensor “consumed” them?

---

<div class="post-metadata">

**Author:** ![Carl\_Pham](https://avatars.discourse-cdn.com/v4/letter/c/e9a140/32.png) [@Carl\_Pham](https://boards.straightdope.com/u/Carl_Pham)\
**Post date:** [May 5, 2014, 9:06pm UTC](https://boards.straightdope.com/t/weird-science-question-of-the-day-photon-bouncing-between-two-mirrors/687706/15 "2014-05-05T21:06:49Z")

</div>

No. Taking you strictly at your word, that you have perfectly reflective and perfectly parallel mirrors, and ignoring any fiddle-faddle weaseling about practicality, your photons can still \*occasionally \* scatter off of each other, a process that will ruin your collimation and allow photons to escape your cavity.

---

<div class="post-metadata">

**Author:** ![TriPolar](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/tripolar/32/3008_2.png) [@TriPolar](https://boards.straightdope.com/u/TriPolar)\
**Post date:** [May 5, 2014, 9:23pm UTC](https://boards.straightdope.com/t/weird-science-question-of-the-day-photon-bouncing-between-two-mirrors/687706/16 "2014-05-05T21:23:56Z")

</div>

> [@Carl\_Pham](#):
>
> No. Taking you strictly at your word, that you have perfectly reflective and perfectly parallel mirrors, and ignoring any fiddle-faddle weaseling about practicality, your photons can still \*occasionally \* scatter off of each other, a process that will ruin your collimation and allow photons to escape your cavity.

So the mirrors have to be movable, liking play Pong to keep the photon in the box.

---

<div class="post-metadata">

**Author:** ![Mangetout](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/mangetout/32/19_2.png) [@Mangetout](https://boards.straightdope.com/u/Mangetout)\
**Post date:** [May 5, 2014, 10:01pm UTC](https://boards.straightdope.com/t/weird-science-question-of-the-day-photon-bouncing-between-two-mirrors/687706/17 "2014-05-05T22:01:15Z")

</div>

> [@Chronos](#):
>
> Any question which starts with “What if there were a perfect \_\_\_\_” is always setting up for failure, no matter what goes in the blank, because there’s never a perfect whatever-it-is.

Sure, but in an ‘assume spherical cows’ sense, it’s not invalid - if, for example, we want our thought experiment to ignore the imperfection of the mirrors, in order to concentrate on some other thing in the scenario.

---

<div class="post-metadata">

**Author:** ![mandala](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/mandala/32/95_2.png) [@mandala](https://boards.straightdope.com/u/mandala)\
**Post date:** [May 6, 2014, 12:24pm UTC](https://boards.straightdope.com/t/weird-science-question-of-the-day-photon-bouncing-between-two-mirrors/687706/18 "2014-05-06T12:24:40Z")

</div>

> [@Carl\_Pham](#):
>
> No. Taking you strictly at your word, that you have perfectly reflective and perfectly parallel mirrors, and ignoring any fiddle-faddle weaseling about practicality, your photons can still \*occasionally \*scatter off of each other, a process that will ruin your collimation and allow photons to escape your cavity.

Looked this up; this appears to be exceptionally rare, with the LHC detecting about 20 events per year. So sure let’s say about that many photons are duly lost. what about the rest?

---

<div class="post-metadata">

**Author:** ![Quercus](https://avatars.discourse-cdn.com/v4/letter/q/7ab992/32.png) [@Quercus](https://boards.straightdope.com/u/Quercus)\
**Post date:** [May 6, 2014, 1:16pm UTC](https://boards.straightdope.com/t/weird-science-question-of-the-day-photon-bouncing-between-two-mirrors/687706/19 "2014-05-06T13:16:22Z")

</div>

> [@mandala](#):
>
> Looked this up; this appears to be exceptionally rare, with the LHC detecting about 20 events per year. So sure let’s say about that many photons are duly lost. what about the rest?

I’m not sure what you’re trying to get here. People have given a whole bunch of diferent reasons why photons won’t bounce back and forth forever, and you keep saying “OK, but ignoring that reason, what would happen?”

As far as we know now, photons do not intrinsicly decay, so yes, if you assume you can confine them perfectly inside a sealed, perfectly reflecting cavity, then they’ll stay perfectly confined ‘forever’. Does that answer your question?

---

<div class="post-metadata">

**Author:** ![Ruken](https://avatars.discourse-cdn.com/v4/letter/r/f475e1/32.png) [@Ruken](https://boards.straightdope.com/u/Ruken)\
**Post date:** [May 6, 2014, 1:39pm UTC](https://boards.straightdope.com/t/weird-science-question-of-the-day-photon-bouncing-between-two-mirrors/687706/20 "2014-05-06T13:39:57Z")

</div>

[Cavity ring-down spectroscopy](http://en.wikipedia.org/wiki/Cavity_ring-down_spectroscopy) is based on light trapped between highly reflective mirrors. However, I always think of that more as a standing wave than bouncing particles. Do remember that photons are waves too; they don’t necessarily behave like bouncing balls.

The photons will impart momentum on the mirrors. Not a lot, mind you, but you’ll want them attached to each other.

> [@Chronos](#):
>
> Any question which starts with “What if there were a perfect \_\_\_\_” is always setting up for failure, no matter what goes in the blank, because there’s never a perfect whatever-it-is. One can make extremely good mirrors, that reflect 99.99% of the light that hits them, but even that small percentage that doesn’t reflect adds up quickly, when you’re talking about something that moves as fast as light.

Law: When the OP poses a thought experiment, one of the first posters in the thread _must_ insist that the premise is impossible, thus completely missing the point of the thread.

[Next page](https://boards.straightdope.com/t/weird-science-question-of-the-day-photon-bouncing-between-two-mirrors/687706.md?page=2)
