Anti-Reflection Coatings

Anti-reflection coatings on solar cells are similar to those used on other optical equipment such as camera lenses. They consist of a thin layer of dielectric material, with a specially chosen thickness so that interference effects in the coating cause the wave reflected from the anti-reflection coating top surface to be out of phase with the wave reflected from the semiconductor surfaces. These out-of-phase reflected waves destructively interfere with one another, resulting in zero net reflected energy. In addition to anti-reflection coatings, interference effects are also commonly encountered when a thin layer of oil on water produces rainbow-like bands of colour.

reflection

Use of a quarter wavelength anti-reflection coating to counter surface reflection.

The thickness of the anti-reflection coating is chosen so that the wavelength in the dielectric material is one quarter the wavelength of the incoming wave. For a quarter wavelength anti-reflection coating of a transparent material with a refractive index n1 and light incident on the coating with a free-space wavelength λ0, the thickness d1 which causes minimum reflection is calculated by:

ARC Thickness Calculator

Reflection is further minimised if the refractive index of the anti-reflection coating is the geometric mean of that of the materials on either side; that is, glass or air and the semiconductor. This is expressed by:

ARC Refractive Index Calculator

The graph shows the effect of a single layer anti-reflection coating on silicon. Use the sliders to adjust the refractive index and thickness of the layer. For simplicity this simulation assumes a constant refractive index for silicon at 3.5. In reality the refractive index of silicon and the coating is a function of wavelength.

While the reflection for a given thickness, index of refraction, and wavelength can be reduced to zero using the equations above, the index of refraction is dependent on wavelength and so zero reflection occurs only at a single wavelength. For photovoltaic applications, the refractive index, and thickness are csen in order to minimise reflection for a wavelength of 0.6 µm. This wavelength is chosen since it is close to the peak power of the solar spectrum.

anti-reflection coatings

Comparison of surface reflection from a silicon solar cell, with and without a typical anti-reflection coating.

By adding more than one anti-reflection layer, the reflectivity can be reduced over a wide range of wavelengths. However, this is usually too expensive for most commercial solar cells. The equations for multiple antireflection coatings are more complicated than that for a single layer [1]. The graph below simulates a double layer antireflection coating. By adjusting the refractive index and thickness of the two layers it is possible to produce two minima and a overall reflectance of less than 3%.

Interactive graph showing the effect of thickness and refractive index on a double layer anti-reflection coating (DLARC). Under air, the reflection is minimised by setting the top layer to 105 nm with a refractive index of 1.4 and setting the bottom layer to 55 nm and a reflective index of 2.4.


References

Comments

Anti-Reflection Coatings

Optical Properties, Reducing Recombination, Top Contact Design, Solar Cell Structure

Anti-Reflection Coatings

Postby stuartb » 14 Jul 2010, 16:17

Last edited by stuartb on 05 Sep 2011, 11:46, edited 11 times in total.
Reason: Edit
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Re: Anti-Reflection Coatings

Postby stuart » 18 Jul 2010, 14:37

The first equation was not active. Fixed the error and now it runs.
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Re: Anti-Reflection Coatings

Postby william » 05 Jul 2011, 15:39

I was wondering if there was a version of the applets that output tables of values instead of graphs.
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Re: Anti-Reflection Coatings

Postby stuart » 07 Jul 2011, 10:58

There is an excel version somewhere that I will try to find and post.
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Re: Anti-Reflection Coatings

Postby william » 11 Jul 2011, 07:53

Okay, that sounds great. Thank you.
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Re: Anti-Reflection Coatings

Postby OliverK » 23 Nov 2011, 16:36

Hi Stuart,
I was wondering whether the source code for these calculations is available. We have similar problems where we want to calculate the specular reflectance of different thin films on glass and like this we would not have to re-invent the wheel.
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Re: Anti-Reflection Coatings

Postby Dipper » 03 Jan 2012, 06:24

I'm searching for the source code too. I faced several difficulties some days ago. You would ease my problem if the code is provided. Any help is appreciated.
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