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Refractive index n of AlxGa1-xAs alloys

Contents  
   
 
Equation  
 

According to Sadao Adachi J. Appl. Phys. Vol. 58, No.3, (1985) R1 the real part of the refractive index n of a zinkblende material below the direct band gap edge can be expressed due to a simplified interband-transition model as:

 
 
 
  Formula refractive index of AlGaAs eq.(1)  
 
  with  
  Formula f   down
  Formula  
  Formula  
 
  In this equation the symbols and constants have the following meaning in the case of AlxGa1-xAs at room temperature:
 
        n (real part) of the refractive index  
        λ wavelength in the vacuum  
        h = 6.626 10 -34 Js Planck´s constant  
        c = 2.998 108 m/s speed of light in the vacuum  
        hc/λ photon energy  
        A0(x) = 6.3 + 19.0 x constant, determined by fitting with experimental data  
        B0(x) = 9.4 - 10.2 x constant, determined by fitting with experimental data  
        x Al fraction in the AlXGa1-XAs alloy  
        E0(x) = 1.425 + 1.155 x + 0.37 x2 [eV] fundamental band gap at Γ-point  
        E0(x) + Δ0(x) = 1.765 + 1.115 x + 0.37 x2 [eV] with Δ0 spin-orbit splitting energy  
 
 
Graph: refractive index n of AlXGa1-XAs alloys up
 
 

Graphs with calculated refractive indices of AlXGa1-XAs alloys as a function of the photon energy E=hν or wavelength λ=hc/E with x-compositions from 0 to 1 calculated with eq. (1).

down
 
  Index of refraction n(E)
 
 
  Index of refraction n(Lambda)
 
 
Table with numerical values  
 
  Calculated refractive indices  n(AlXGa1-XAs) according to equation (1) at T = 300 K  
 
λ
(nm)
n(AlXGa1-XAs)
x=0 x=0.1 x=0.2 x=0.3 x=0.4 x=0.5 x=0.6 x=0.7 x=0.8 x=0.9 x=1.0
800 - - 3.551 3.468 3.396 3.332 3.265 3.208 3.141 3.085 3.023
850 - 3.572 3.491 3.423 3.362 3.305 3.240 3.186 3.119 3.061 2.995
900 3.597 3.519 3.455 3.396 3.336 3.277 3.217 3.164 3.106 3.047 2.991
950 3.544 3.486 3.428 3.370 3.315 3.260 3.203 3.148 3.081 3.036 2.973
1000 3.516 3.463 3.410 3.356 3.305 3.245 3.192 3.137 3.068 3.011 2.972
1050 3.497 3.445 3.393 3.342 3.286 3.231 3.178 3.128 3.062 3.002 2.972
1100 3.483 3.434 3.382 3.335 3.273 3.225 3.167 3.114 3.062 3.001 2.968
1150 3.470 3.425 3.372 3.320 3.268 3.217 3.160 3.120 3.055 3.000 2.957
1200 3.464 3.415 3.366 3.314 3.265 3.206 3.154 3.100 3.045 2.994 2.938
1250 3.457 3.407 3.356 3.308 3.253 3.200 3.156 3.089 3.044 2.982 2.932
1300 3.450 3.401 3.354 3.303 3.245 3.202 3.149 3.089 3.034 2.972 2.926
1500 3.434 3.385 3.332 3.289 3.230 3.184 3.133 3.099 3.011 2.951 2.937
2000 3.418 3.366 3.311 3.268 3.223 3.173 3.127 3.056 2.965 2.951 2.915
 
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