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Refractive index n of InGaAs
Equation
Using the Sellmeier equation for GaAs a simple model based on the shift of the band gap energy Eg(x) of InxGa1-xAs alloy leeds to the expression:
with
IIn this equations the symbols and constants have the following meaning in the case of InXGa1-XAs alloys at room temperature (T = 300 K):
- n - (real part) of the refractive index
- A = 8.950 - empirical coefficient
- B = 2.054 - empirical coefficient
- C = 0.6245 - empirical coefficient
- x - In fraction in the InXGa1-XAs alloy
- EgGaAs = 1.424 eV - fundamental band gap of GaAs at room temperature (300 K)
- λ - vacuum wavelength [µm]
Numerical values
Calculator for n(x,λ) (uses javascript)
Graph with calculated refractive index of InXGa1-XAs alloys as a function of wavelength λ for x-compositions from 0 (magenta) to 0.9 (black) with step differences of Δx = 0.1.
Table with calculated values for refractive index n
Calculated real part of refractive index n(InXGa1-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 |
|---|---|---|---|---|---|---|---|---|
| 900 | 3.593 | 3.639 | - | - | - | - | - | - |
| 950 | 3.545 | 3.658 | - | - | - | - | - | - |
| 1000 | 3.510 | 3.596 | - | - | - | - | - | - |
| 1100 | 3.461 | 3.517 | 3.615 | - | - | - | - | - |
| 1200 | 3.431 | 3.471 | 3.536 | 3.657 | - | - | - | - |
| 1300 | 3.409 | 3.439 | 3.487 | 3.568 | - | - | - | - |
| 1400 | 3.393 | 3.418 | 3.454 | 3.513 | 3.619 | - | - | - |
| 1500 | 3.382 | 3.401 | 3.429 | 3.474 | 3.552 | - | - | - |
| 1600 | 3.372 | 3.388 | 3.412 | 3.448 | 3.507 | 3.619 | - | - |
| 1700 | 3.366 | 3.379 | 3.399 | 3.428 | 3.476 | 3.558 | - | - |
| 1800 | 3.360 | 3.372 | 3.388 | 3.413 | 3.451 | 3.517 | 3.647 | - |
| 1900 | 3.354 | 3.365 | 3.379 | 3.400 | 3.432 | 3.486 | 3.585 | - |
| 2000 | 3.351 | 3.360 | 3.372 | 3.390 | 3.418 | 3.461 | 3.541 | 3.712 |
| 2200 | 3.344 | 3.351 | 3.362 | 3.375 | 3.396 | 3.428 | 3.483 | 3.586 |
| 2400 | 3.339 | 3.345 | 3.354 | 3.365 | 3.381 | 3.406 | 3.445 | 3.517 |
| 2600 | 3.336 | 3.341 | 3.348 | 3.357 | 3.370 | 3.390 | 3.421 | 3.473 |