Optical constants
Refractive index of GaSb (Gallium antimonide)
Adachi 1989: n,k 0.207–12.4 µm
- Data
- tabulated nk
- Range
- 0.2066–12.4 µm
- Points
- 200
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 5.28425
- Extinction coefficient k
- 2.04965
- Permittivity ε1
- 23.7222
- Permittivity ε2
- 21.6617
- Absorption coefficient α
- 438337 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 45.627 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- 13.5774 µm⁻¹
- Group index ng
- -2.69385
- Group velocity dispersion
- — fs²/mm
- Dispersion parameter D
- — ps/(nm·km)
- Photon energy
- 2.11001 eV
ε = (n + ik)², α = 4πk/λ, ng = n − λ dn/dλ, GVD = λ³/(2πc²) d²n/dλ², D = −(λ/c) d²n/dλ². Group-velocity dispersion is given for formula data only.
Use it in Lightsmith
Load this data in Python, simulate in one more line
pip install lightsmith
import lightsmith as ls
# GaSb (Gallium antimonide): Adachi 1989: n,k 0.207–12.4 µm
gasb = ls.fetch_refractiveindex("main", "GaSb", "Adachi", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(gasb.range_nm) # (206.64, 12398) nm
eps = gasb.eps([633]) # complex permittivity
Downloads the original record once (pinned to the imported snapshot) and caches it.
import json, urllib.request
import lightsmith as ls
url = "https://materials.lightsmith.dev/v1/datasets/ds_978f9fb31584/lightsmith"
gasb = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(gasb.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (gasb/adachi-1989).
# ... load gasb as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=gasb)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=1000, num=81),
)
res = ls.solve(sim) # exact Mie for a sphere
print(res.q_ext) # extinction efficiency at each wavelength
Same spec runs with DDA, FDTD, BEM or T-matrix: ls.compare(sim, ["mie", "dda"]).
Lightsmith is open source (MIT): Mie, T-matrix, BEM, DDA, FDTD, RCWA, TMM, mode solvers and inverse design behind one spec, on CPU or GPU. GitHub.
References
[Calculation script (Python)]
- doi:10.1063/1.343580 Optical dispersion relations for GaP, GaAs, GaSb, InP, InAs, InSb, Al <i>x</i> Ga1− <i>x</i> As, and In1− <i>x</i> Ga <i>x</i> As <i>y</i> P1− <i>y</i>, Journal of Applied Physics (1989)
Cite
Sadao Adachi. Optical dispersion relations for GaP, GaAs, GaSb, InP, InAs, InSb, Al <i>x</i> Ga1− <i>x</i> As, and In1− <i>x</i> Ga <i>x</i> As <i>y</i> P1− <i>y</i>. Journal of Applied Physics, 66, 6030-6040 (1989), doi:10.1063/1.343580; [Calculation script (Python)]; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
200 rows as published| λ (µm) | n | k |
|---|---|---|
| 0.20664 | 0.85237 | 2.3048 |
| 0.20767 | 0.85998 | 2.3222 |
| 0.2087 | 0.8678 | 2.3399 |
| 0.20975 | 0.87585 | 2.3579 |
| 0.21081 | 0.88413 | 2.3761 |
| 0.21188 | 0.89265 | 2.3947 |
| 0.21295 | 0.90143 | 2.4136 |
| 0.21404 | 0.91047 | 2.4328 |
| 0.21515 | 0.91979 | 2.4523 |
| 0.21626 | 0.92941 | 2.4721 |
| 0.21738 | 0.93934 | 2.4923 |
| 0.21852 | 0.94959 | 2.5129 |
| 0.21967 | 0.96018 | 2.5338 |
| 0.22083 | 0.97113 | 2.5551 |
| 0.222 | 0.98246 | 2.5768 |
| 0.22318 | 0.99419 | 2.5989 |
| 0.22438 | 1.0063 | 2.6214 |
| 0.22559 | 1.0189 | 2.6443 |
| 0.22681 | 1.032 | 2.6676 |
| 0.22805 | 1.0455 | 2.6914 |
| 0.2293 | 1.0596 | 2.7156 |
| 0.23057 | 1.0742 | 2.7403 |
| 0.23184 | 1.0895 | 2.7654 |
| 0.23314 | 1.1053 | 2.791 |
| 0.23444 | 1.1218 | 2.8171 |
| 0.23577 | 1.139 | 2.8437 |
| 0.2371 | 1.1569 | 2.8709 |
| 0.23845 | 1.1757 | 2.8985 |
| 0.23982 | 1.1952 | 2.9266 |
| 0.2412 | 1.2157 | 2.9553 |
| 0.2426 | 1.2371 | 2.9845 |
| 0.24402 | 1.2596 | 3.0142 |
| 0.24545 | 1.2831 | 3.0445 |
| 0.2469 | 1.3078 | 3.0753 |
| 0.24837 | 1.3337 | 3.1066 |
| 0.24985 | 1.3609 | 3.1384 |
| 0.25135 | 1.3895 | 3.1707 |
| 0.25287 | 1.4196 | 3.2035 |
| 0.25441 | 1.4514 | 3.2367 |
| 0.25597 | 1.4848 | 3.2703 |
| 0.25755 | 1.52 | 3.3043 |
| 0.25914 | 1.5572 | 3.3386 |
| 0.26076 | 1.5965 | 3.3731 |
| 0.26239 | 1.638 | 3.4078 |
| 0.26405 | 1.6818 | 3.4425 |
| 0.26573 | 1.7282 | 3.4771 |
| 0.26743 | 1.7771 | 3.5116 |
| 0.26915 | 1.8289 | 3.5457 |
| 0.27089 | 1.8836 | 3.5792 |
| 0.27266 | 1.9415 | 3.6119 |
| 0.27445 | 2.0025 | 3.6435 |
| 0.27626 | 2.0669 | 3.6739 |
| 0.2781 | 2.1348 | 3.7025 |
| 0.27996 | 2.2062 | 3.7291 |
| 0.28185 | 2.2813 | 3.7533 |
| 0.28376 | 2.3599 | 3.7745 |
| 0.2857 | 2.442 | 3.7923 |
| 0.28766 | 2.5276 | 3.8061 |
| 0.28966 | 2.6163 | 3.8155 |
| 0.29168 | 2.7079 | 3.8198 |
| 0.29372 | 2.8019 | 3.8185 |
| 0.2958 | 2.8979 | 3.8111 |
| 0.29791 | 2.9952 | 3.7972 |
| 0.30005 | 3.093 | 3.7763 |
| 0.30222 | 3.1905 | 3.7481 |
| 0.30442 | 3.2868 | 3.7126 |
| 0.30665 | 3.3809 | 3.6697 |
| 0.30891 | 3.4718 | 3.6197 |
| 0.31121 | 3.5585 | 3.563 |
| 0.31354 | 3.6401 | 3.5001 |
| 0.31591 | 3.7159 | 3.4317 |
| 0.31832 | 3.7852 | 3.3587 |
| 0.32076 | 3.8475 | 3.282 |
| 0.32324 | 3.9024 | 3.2027 |
| 0.32576 | 3.95 | 3.1218 |
| 0.32831 | 3.9902 | 3.0402 |
| 0.33091 | 4.0233 | 2.9589 |
| 0.33355 | 4.0496 | 2.8788 |
| 0.33623 | 4.0696 | 2.8005 |
| 0.33896 | 4.0837 | 2.7247 |
| 0.34173 | 4.0927 | 2.6518 |
| 0.34454 | 4.0969 | 2.5824 |
| 0.34741 | 4.0972 | 2.5166 |
| 0.35032 | 4.094 | 2.4547 |
| 0.35328 | 4.0879 | 2.3967 |
| 0.35629 | 4.0795 | 2.3428 |
| 0.35935 | 4.0692 | 2.2929 |
| 0.36246 | 4.0575 | 2.2468 |
| 0.36563 | 4.0448 | 2.2046 |
| 0.36886 | 4.0315 | 2.1662 |
| 0.37214 | 4.0179 | 2.1313 |
| 0.37548 | 4.0043 | 2.0998 |
| 0.37888 | 3.9909 | 2.0716 |
| 0.38235 | 3.978 | 2.0464 |
| 0.38588 | 3.9659 | 2.0242 |
| 0.38947 | 3.9546 | 2.0048 |
| 0.39313 | 3.9443 | 1.9879 |
| 0.39686 | 3.9352 | 1.9735 |
| 0.40066 | 3.9275 | 1.9613 |
| 0.40454 | 3.9212 | 1.9513 |
| 0.40849 | 3.9164 | 1.9433 |
| 0.41252 | 3.9132 | 1.9371 |
| 0.41663 | 3.9118 | 1.9327 |
| 0.42082 | 3.9123 | 1.9298 |
| 0.4251 | 3.9146 | 1.9284 |
| 0.42947 | 3.9189 | 1.9285 |
| 0.43392 | 3.9254 | 1.9297 |
| 0.43847 | 3.934 | 1.9321 |
| 0.44312 | 3.9448 | 1.9356 |
| 0.44786 | 3.958 | 1.9399 |
| 0.45271 | 3.9737 | 1.9452 |
| 0.45767 | 3.992 | 1.9511 |
| 0.46273 | 4.0129 | 1.9578 |
| 0.46791 | 4.0367 | 1.9649 |
| 0.4732 | 4.0634 | 1.9726 |
| 0.47862 | 4.0932 | 1.9805 |
| 0.48416 | 4.1264 | 1.9887 |
| 0.48983 | 4.163 | 1.9971 |
| 0.49564 | 4.2034 | 2.0055 |
| 0.50158 | 4.2479 | 2.0137 |
| 0.50767 | 4.2967 | 2.0217 |
| 0.51391 | 4.3502 | 2.0294 |
| 0.5203 | 4.4089 | 2.0364 |
| 0.52686 | 4.4733 | 2.0428 |
| 0.53358 | 4.5439 | 2.0482 |
| 0.54048 | 4.6214 | 2.0524 |
| 0.54756 | 4.7067 | 2.0552 |
| 0.55482 | 4.8006 | 2.0564 |
| 0.56228 | 4.9038 | 2.0558 |
| 0.56994 | 5.0165 | 2.0536 |
| 0.57782 | 5.1375 | 2.0505 |
| 0.58591 | 5.2613 | 2.0487 |
| 0.59424 | 5.3744 | 2.0534 |
| 0.60281 | 5.4533 | 2.0733 |
| 0.61162 | 5.3607 | 1.7844 |
| 0.6207 | 5.231 | 1.5088 |
| 0.63005 | 5.1004 | 1.2972 |
| 0.63969 | 4.9737 | 1.1071 |
| 0.64963 | 4.8563 | 0.92335 |
| 0.65988 | 4.7502 | 0.7389 |
| 0.67046 | 4.6565 | 0.55003 |
| 0.68138 | 4.5822 | 0.43209 |
| 0.69267 | 4.5257 | 0.42732 |
| 0.70433 | 4.4741 | 0.42194 |
| 0.7164 | 4.4269 | 0.41601 |
| 0.72889 | 4.3835 | 0.40954 |
| 0.74182 | 4.3435 | 0.40258 |
| 0.75521 | 4.3064 | 0.39515 |
| 0.7691 | 4.2719 | 0.38724 |
| 0.78351 | 4.2398 | 0.37886 |
| 0.79847 | 4.2098 | 0.36999 |
| 0.81402 | 4.1817 | 0.36058 |
| 0.83018 | 4.1554 | 0.35049 |
| 0.84699 | 4.1306 | 0.33892 |
| 0.8645 | 4.1041 | 0.32834 |
| 0.88275 | 4.0806 | 0.31856 |
| 0.90179 | 4.0587 | 0.30849 |
| 0.92166 | 4.0382 | 0.29813 |
| 0.94243 | 4.0188 | 0.28752 |
| 0.96416 | 4.0006 | 0.27666 |
| 0.98691 | 3.9834 | 0.26556 |
| 1.0108 | 3.9672 | 0.25426 |
| 1.0358 | 3.952 | 0.24277 |
| 1.0621 | 3.9377 | 0.2311 |
| 1.0898 | 3.9243 | 0.2193 |
| 1.119 | 3.9118 | 0.20739 |
| 1.1497 | 3.9002 | 0.1954 |
| 1.1822 | 3.8895 | 0.18339 |
| 1.2166 | 3.8797 | 0.17141 |
| 1.2531 | 3.8707 | 0.15951 |
| 1.2918 | 3.8627 | 0.14776 |
| 1.3329 | 3.8556 | 0.13623 |
| 1.3768 | 3.8494 | 0.12501 |
| 1.4237 | 3.8443 | 0.11415 |
| 1.4739 | 3.8403 | 0.10372 |
| 1.5277 | 3.8374 | 0.093662 |
| 1.5857 | 3.8358 | 0.083718 |
| 1.6482 | 3.8355 | 0.072714 |
| 1.7158 | 3.8365 | 0.050452 |
| 1.7892 | 3.8076 | 0.03979 |
| 1.8692 | 3.7941 | 0.038036 |
| 1.9566 | 3.7834 | 0.036267 |
| 2.0527 | 3.7743 | 0.034499 |
| 2.1586 | 3.7661 | 0.032736 |
| 2.2761 | 3.7588 | 0.030981 |
| 2.4071 | 3.7522 | 0.029235 |
| 2.5541 | 3.7461 | 0.027498 |
| 2.7203 | 3.7405 | 0.02577 |
| 2.9095 | 3.7354 | 0.02405 |
| 3.1271 | 3.7307 | 0.022339 |
| 3.3798 | 3.7264 | 0.020636 |
| 3.677 | 3.7225 | 0.01894 |
| 4.0315 | 3.7189 | 0.017252 |
| 4.4616 | 3.7158 | 0.015569 |
| 4.9945 | 3.7129 | 0.013893 |
| 5.6719 | 3.7104 | 0.012221 |
| 6.5619 | 3.7083 | 0.010555 |
| 7.7832 | 3.7064 | 0.0088918 |
| 9.5631 | 3.7049 | 0.0072324 |
| 12.398 | 3.7037 | 0.0055758 |
Optical transmission calculator
Free-standing sample in vacuum, normal incidence- Transmittance T
- —
- Reflectance R
- —
Fresnel reflection calculator
- Rp
- —
- Rs
- —
- R = (Rp+Rs)/2
- —
- Phase φp
- —
- Phase φs
- —
- Brewster angle θB
- —
- Critical angle θC
- —