Calculate the reflection coefficient at a semiconductor-air interface.
Consider the interface between a GaAs semiconductor and air.
Question 14.8: Calculate the reflection coefficient at a semiconductor–air ...
The index of refraction for GaAs is \bar{n}_{2}=3.8 at a wavelength of \lambda=0.70 \mu \mathrm{m} and the index of refraction for air is \bar{n}_{1}=1.0. The reflection coefficient is
\Gamma=\left(\frac{\bar{n}_{2}-\bar{n}_{1}}{\bar{n}_{2}+\bar{n}_{1}}\right)^{2}=\left(\frac{3.8-1.0}{3.8+1.0}\right)^{2}=0.34
Comment
A reflection coefficient of \Gamma=0.34 means that 34 percent of the photons incident from the gallium arsenide onto the semiconductor-air interface are reflected back into the semiconductor.
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