How to get plot (optical gain of GaAs)?

In summary, to calculate the plot of photon energy dependence of the optical gain (or loss) of GaAs with the injected carrier density as a parameter, we need to use the equation G = (n2ω0/c)([ƒc(ω)-ƒv(ω)]/T2)e^(-2πħω/Eg)e^(-taung/T2) where n is the refractive index, ω0 is the angular frequency of the light, c is the speed of light in vacuum, ƒc is the Fermi-Dirac distribution function for electrons in the conduction band, ƒv is the Fermi-Dirac distribution function for holes in the valence band
  • #1
yeyintkoko
16
0
How can i calculate this plot (photon energy dependence of the optical gain (or loss = negative gain) of GaAs with the injected carrier density as a parameter?
Show calculated plot based on this equation
plot.jpg
equ.jpg

Given parameter:
mc=0.067 me; (effective mass of electrons in conduction band)
mv=0.48 me; (effective mass of holes in valence band)
T2~0.5 ps; (lifetime for coherent interaction of electrons with a monochromatic field)
Eg=1.43 eV; (energy band gap of GaAs)
taung~3x10-9s; (recombination lifetime)
1/mr=1/mc+1/mv; ( reduced effective mass)
n= 3.6: (refractive index for GaAs)

How can i find this value
ħω (energy of photon)- this should be ħω>Eg. How can i determine this energy?
λ0
ω0 ( if i known λ0, can i get ω0? (ω=c/λ))
[ƒc(ω)-ƒv(ω)]

Really I need your help. I am new for semiconductor laser. Please anyone help me.
Thanks!
 
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  • #2
The equation for the optical gain (or loss) of GaAs with an injected carrier density as a parameter is given by: G = (n2ω0/c)([ƒc(ω)-ƒv(ω)]/T2)e^(-2πħω/Eg)e^(-taung/T2)where n is the refractive index, ω0 is the angular frequency of the light, c is the speed of light in vacuum, ƒc is the Fermi-Dirac distribution function for electrons in the conduction band, ƒv is the Fermi-Dirac distribution function for holes in the valence band, T2 is the lifetime for coherent interaction of electrons with a monochromatic field, ħω is the energy of the photon, Eg is the energy band gap of GaAs, and taung is the recombination lifetime.To calculate the plot of optical gain (or loss) as a function of photon energy, we need to determine the value of ħω (energy of the photon). This value should be greater than Eg, and can be determined from the equation ħω = hc/λ where h is Planck's constant, c is the speed of light in vacuum, and λ is the wavelength of the light. Once the value of ħω is known, the optical gain (or loss) can be calculated for each value of ħω using the equation given above. The resulting plot of optical gain (or loss) as a function of photon energy can then be plotted. Please note that the calculation of the optical gain (or loss) will also depend on the injected carrier density, which needs to be specified in order to obtain the correct results.
 
  • #3
please suggest me the books, where from you got this equation ?????
 

What is the meaning of optical gain in GaAs?

Optical gain refers to the increase in intensity of light as it passes through a material, in this case, GaAs (Gallium Arsenide). It is a measure of how much the material amplifies the light passing through it.

What is the importance of obtaining plot of optical gain for GaAs?

The plot of optical gain for GaAs is important for understanding the behavior of the material and its potential applications. It can also help in optimizing the material for specific purposes, such as in laser diodes or optical amplifiers.

How is the plot of optical gain of GaAs obtained?

The plot of optical gain can be obtained by measuring the intensity of light passing through the GaAs material at different input powers and plotting it against the output power. This can be done using specialized equipment such as a spectrometer.

What factors affect the optical gain of GaAs?

The optical gain of GaAs can be affected by various factors such as temperature, doping concentration, and the type of doping. These factors can influence the number of available charge carriers and their recombination rate, which in turn affects the optical gain.

What are some potential challenges in obtaining the plot of optical gain for GaAs?

Some potential challenges in obtaining the plot of optical gain for GaAs include accurately measuring the input and output powers, controlling the temperature of the material, and minimizing external factors that could affect the measurement, such as ambient light or vibrations.

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