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Refractive index n of AlGaAs
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:
with
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 - vacuum wavelength
- h = 6.626 10 -34 Js - Planck´s constant
- c = 2.998 108 m/s - speed of light in vacuum
- hc/λ - photon energy
- A0(x) = 6.3 + 19.0 x - fitted constant
- B0(x) = 9.4 - 10.2 x - fitted constant
- 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] - spin-orbit splitting energy
Numerical values
Calculator for n(x,λ) (uses javascript)
Graphs with calculated refractive indices of AlXGa1-XAs alloys
Table with calculated values for refractive index n
Calculated real part of refractive index n(AlXGa1-XAs) at T = 300 K
| λ (nm) | 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 |