How do anti-reflective coatings let MORE light in through the lens?

In summary: The range of wavelengths where the reflectivity is kept acceptably low is called the "bandwidth".)So, in summary, anti-reflective coatings work by using destructive interference to reduce the amount of light reflected from a glass lens. This is accomplished by altering the refractive index of the lens through multiple layers of coating, allowing more coherent light to pass through without colliding with reflecting light. This results in more light passing through the lens, rather than being reflected, thereby increasing the overall brightness and clarity of the image.
  • #1
gauss44
49
0
In the context of anti-reflective coatings put on glasses lenses, I recently read, "No light reflecting means more light in through the lens - energy must be conserved after all."? How does MORE light get in?

The best I could imagine is either:

1. That by using destructive interference on reflecting rays, more coherent light can enter the lenses and get to the lenses without colliding with reflecting light which might change their direction.

Or

2. The anti-reflective coatings keep the critical angle wide so that more light is refracted and less is reflected.

How do you suspect that MORE light gets into a lens with an anti-reflective coating, than without that coating?

(I am currently not a student. I am studying for the medical college admissions test on my own and without a course to hopefully get into medical school. Many of my questions are inspired by my studying.)
 
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  • #2
Light is an electromagnetic wave. When a wave enters a medium with a different refractive index, such as when light enters a glass lens, a certain portion of the wave will always be reflected. The coatings use destructive interference to make it so that the reflected portion of the wave contains a much smaller percentage of energy than it would without the coatings. Less energy in the reflected portion of the wave means less light is reflected and more passes through the lens.
 
  • #3
Drakkith said:
Light is an electromagnetic wave. When a wave enters a medium with a different refractive index, such as when light enters a glass lens, a certain portion of the wave will always be reflected. The coatings use destructive interference to make it so that the reflected portion of the wave contains a much smaller percentage of energy than it would without the coatings. Less energy in the reflected portion of the wave means less light is reflected and more passes through the lens.

What causes more light to pass through the lens? Sorry if I'm being dense.
 
  • #4
gauss44 said:
What causes more light to pass through the lens? Sorry if I'm being dense.

It is because of conservation of energy. If the glass does not absorb, the intensity of the incident ray (incoming energy in unit time) equals to the sum of the reflected intensity and the intensity of the refracted ray. If there is no reflected ray because of the anti-reflective coating, all light is refracted. Reaching the other side of the lens, also covered with anti-reflecting layer, the whole light beam traverses the interface with air, without reflection loss.

ehild
 
  • #5
ehild said:
It is because of conservation of energy. If the glass does not absorb, the intensity of the incident ray (incoming energy in unit time) equals to the sum of the reflected intensity and the intensity of the refracted ray. If there is no reflected ray because of the anti-reflective coating, all light is refracted. Reaching the other side of the lens, also covered with anti-reflecting layer, the whole light beam traverses the interface with air, without reflection loss.

ehild

Really? My understanding or misunderstanding was that with an anti-reflective coating, the same amount of light was initially reflected (and then about half a wavelength later would face destructive interference) like in this illustration: The first illustration here if you scroll down, http://physics.stackexchange.com/qu...flective-coating-makes-glass-more-transparent

The drawing shows R1 and R2 facing destructive interference after about half a wavelength, essentially cancelling each other out. Unless I read it wrong. I know there's something I'm missing, and am not sure what?
 
  • #6
gauss44 said:
The drawing shows R1 and R2 facing destructive interference after about half a wavelength, essentially cancelling each other out. Unless I read it wrong. I know there's something I'm missing, and am not sure what?

They interfere immediately, not after a half wavelength.
 
  • #7
The anti-reflective coating works for light beams much broader than the thickness of the layer. You can imagine that a ray reflected from the interface with glass and stepping out into air "finds" a directly reflected ray out of phase.

ehild
 

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  • #8
@gauss44
This is not a case of getting something for nothing and no fundamental law is being tinkered with. It's merely a matter of re-directing some energy from being reflected to being transmitted. It just boils down to the effect of wave interference.
 
  • #9
Note that when the index of refraction changes gradually over a distance that is large compared to the wavelength of the rays, the rays will refract under exactly the same angle as if there were an interface - but there is no reflection.

If you look at the side of the refracted ray... what is the ray that can interfere with the refracted ray and reinforce it?
 
  • #10
snorkack said:
If you look at the side of the refracted ray... what is the ray that can interfere with the refracted ray and reinforce it?

All the rays that aren't reflected or absorbed?
 
  • #11
There are multiple reflected rays, and there are multiple transmitted rays. The reflected rays interfere destructively, the transmitted rays interfere constructively.

Without getting into the math or other details, that is the plain simple answer.

Getting a little more detailed, the following figure may help. Just imagine that the incident ray is at normal incidence, so all the reflected rays overlap each other, and all the transmitted rays overlap each other as well:

jopt429920f1_online.jpg

For a perfect AR coating, when you add all the reflected rays accounting for the phase of each, you get an amplitude of zero. When you do the same for all the transmitted rays, you get an amplitude equal to that of the original incident ray. So 0% is reflected and 100% is transmitted.

Going further with this, the coating pictured above is AR only for some discrete wavelengths. To get "broad band AR" coatings, you might have 20 to 30 coating layers, alternating between two materials of different refractive indexes:

Sec4104.gif

The thickness of each layer can be adjusted, and companies that make such coatings can calculate a set of thickness that typically give under 0.25% to 0.5% reflectivity (considered acceptably small in many applications) over a fairly wide range of wavelengths (eg. visible, near IR, etc.)

-----

Acknowledgements:
The above figures were found at
http://iopscience.iop.org/2040-8986/14/10/105701
and
http://xdb.lbl.gov/Section4/Sec_4-1.html
 
Last edited:
  • #12
Anti-relection means more transmission all right.
 

1. How do anti-reflective coatings reduce glare?

Anti-reflective coatings are designed to reduce the amount of light that is reflected off the surface of a lens. They do this by incorporating multiple layers of thin films with different refractive indices. These layers work together to cancel out the reflected light, allowing more light to pass through the lens.

2. Can anti-reflective coatings improve vision in low light conditions?

Yes, anti-reflective coatings can improve vision in low light conditions by reducing the amount of light that is scattered or reflected off the lenses. This allows more light to reach the retina, resulting in better vision.

3. How do anti-reflective coatings benefit people with strong prescriptions?

Anti-reflective coatings can benefit people with strong prescriptions by reducing reflections and glare from the lenses. This can help improve visual clarity and reduce eye strain, especially in bright light conditions.

4. Do anti-reflective coatings affect the durability of the lenses?

No, anti-reflective coatings do not affect the durability of the lenses. They are applied to the surface of the lens and do not alter its strength or scratch resistance. However, it is important to properly clean and care for the lenses to maintain the effectiveness of the coating.

5. How do anti-reflective coatings impact the cost of eyeglasses?

The cost of eyeglasses can vary depending on the type and quality of anti-reflective coating used. While some coatings may be more expensive, they can provide significant benefits such as improved vision and reduced eye strain. Ultimately, the cost will depend on the individual's needs and preferences.

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