Exploring Recursive Reflection: How Small Can Mirrors Reflect?

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In summary, if you have two mirrors facing each other and you zoom in on one of them, you will eventually be viewing an image of the other mirror.
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If we have two mirrors, each one facing the other (producing what i'll describe as recursive reflection) then, supposing we could zoom into one of the mirrors as much as we'd like, then at what point would the image become unrecognizable. Would there be a microscopical-sized reflection of the other mirror? How small can/does it get?
 
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Depending on how we choose to look at light, it would be as small as the wavelenght of light
 
  • #3
Mattara said:
Depending on how we choose to look at light, it would be as small as the wavelenght of light

I disagree.
There is no way that a single spot as small as a wavelenghth of light could contain an entire picture of its reflective ancestory under that condition.
Most likely, there would be a serious degredation of resoultion or field of view, or both.
 
  • #4
Uh, you'd wouildn't get recursion if you zoomed in. You'd get a close-up image of the device, camera or head of whom/what-ever is doing the viewing.

So there's only two ways this could be set up:
-if your view angle was oblique, but that means eventually, your light path will slip off the side of the mirror and you'll simply be viewing a really zoomed in image of the laboratory wall.
- you put the reflective surface *in front* of your viewer. Which means you use a semi-silvered mirror, which means every bounce of the light loses brightness, which means after a few bounces, there's no light left to get through.

I am not sure your experiment is possible even in principle.
 
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  • #5
If put two mirrors parallel (at about .5 meter) you have a Fabry-Perot optical resonator. If the distance is less (about .5 cm) you may have a filter.

This device has its own proper frequencies so if one of them is not all reflecting (such as 99% of reflecting) the radiation only emerges from the cave if its frequency is equal (approx.) to one of the proper frequencies of the resonator.

The common use is in gas laser such as Ar-Ne or CO2. You put an amplification media inside the cave, and if the maximum of gain is very close to one of the proper frecuencies of the cave (in other case the radiation will not be amplified) then, the radiation emerges amplified and you have a cool laser€ :D
 
  • #6
At a separation near the wavelength of the initial light, I believe that significant tunneling of higher wavelengths and lower amplitude through the mirror (one dimensional box) would occur. I guess that the image resolution of this tunneled radiation to that of the initial image would vary approximately as the squared ratio between initial light frequency and tunneled light frequency.
 

Related to Exploring Recursive Reflection: How Small Can Mirrors Reflect?

1. What happens when you place two mirrors facing each other?

When two mirrors are placed facing each other, an infinite number of reflections will occur between the two mirrors. This creates the illusion of an endless tunnel or corridor of reflections.

2. Why do objects appear smaller in infinite reflections between mirrors?

Objects appear smaller in infinite reflections because each reflection is slightly smaller than the previous one. This is due to the loss of light with each reflection, causing the image to become dimmer and smaller.

3. Can you see yourself in an infinite number of reflections between mirrors?

Yes, you can see yourself in an infinite number of reflections between mirrors. However, the image will become increasingly distorted with each reflection due to the loss of light and slight imperfections in the mirrors.

4. What is the concept behind the "infinity mirror" art installations?

The concept behind "infinity mirror" art installations is to create the illusion of infinite space by placing two mirrors facing each other with lights in between. This creates a mesmerizing effect and challenges the viewer's perception of space.

5. Are there any practical applications for mirrors facing each other?

Yes, there are practical applications for mirrors facing each other. For example, they are used in laser cavities to amplify light and create a highly concentrated beam. They are also used in certain types of telescopes to increase the length of the optical path and improve image quality.

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