Optical constants
Refractive index of AlAs-GaAs (Aluminium gallium arsenide, AlGaAs)
Perner et al. 2023: n 2.0–7.1 µm; 92.9% Al
- Data
- formula 1
- Range
- 2–7.1 µm
- Temperature
- 295 K
- State
- crystalline
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 2.87239
- Extinction coefficient k
- 0
- Permittivity ε1
- 8.25061
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.00337912 µm⁻¹
- Group index ng
- 2.88513
- Group velocity dispersion
- 256.484 fs²/mm
- Dispersion parameter D
- -33.9921 ps/(nm·km)
- Photon energy
- 0.328871 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
# AlAs-GaAs (Aluminium gallium arsenide, AlGaAs): Perner et al. 2023: n 2.0–7.1 µm; 92.9% Al
alas_gaas = ls.fetch_refractiveindex("other", "AlAs-GaAs", "Perner-92.9", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(alas_gaas.range_nm) # (2000, 7100) nm
eps = alas_gaas.eps([3770]) # 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_50bf17a784cb/lightsmith"
alas_gaas = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(alas_gaas.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (alas-gaas/perner-2023-92-9).
# ... load alas_gaas as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=alas_gaas)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=2000, stop_nm=7100, 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"]).
import json, urllib.request
import lightsmith as ls
url = "https://materials.lightsmith.dev/v1/datasets/ds_50bf17a784cb/lightsmith?model=drude_lorentz"
alas_gaas_dl = ls.DrudeLorentz.model_validate(json.load(urllib.request.urlopen(url)))
A dispersive Drude–Lorentz model for time-domain solvers.
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.
Dispersion formula
Sellmeier (formula 1), λ in µmValid from 2.0 to 7.1 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 0.0 |
| C2 | 7.214199525964231 |
| C3 | 0.26714974883257975 |
Comments and conditions
Conditions
- temperature
- 295 K
References
- doi:10.1103/physrevresearch.5.033048 Simultaneous measurement of mid-infrared refractive indices in thin-film heterostructures: Methodology and results for GaAs/AlGaAs, Physical Review Research (2023)
Cite
Lukas W. Perner et al.. Simultaneous measurement of mid-infrared refractive indices in thin-film heterostructures: Methodology and results for GaAs/AlGaAs. Physical Review Research, 5, 033048 (2023), doi:10.1103/physrevresearch.5.033048; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
Computed on 400 wavelengths, the same grid as the API and the library| λ (µm) | n |
|---|---|
| 2 | 2.888816 |
| 2.00636 | 2.888669 |
| 2.01274 | 2.888524 |
| 2.01914 | 2.88838 |
| 2.02556 | 2.888236 |
| 2.03201 | 2.888094 |
| 2.03847 | 2.887953 |
| 2.04495 | 2.887812 |
| 2.05146 | 2.887672 |
| 2.05798 | 2.887534 |
| 2.06453 | 2.887396 |
| 2.07109 | 2.887259 |
| 2.07768 | 2.887123 |
| 2.08429 | 2.886987 |
| 2.09091 | 2.886853 |
| 2.09756 | 2.88672 |
| 2.10424 | 2.886587 |
| 2.11093 | 2.886455 |
| 2.11764 | 2.886325 |
| 2.12438 | 2.886195 |
| 2.13113 | 2.886065 |
| 2.13791 | 2.885937 |
| 2.14471 | 2.88581 |
| 2.15153 | 2.885683 |
| 2.15837 | 2.885557 |
| 2.16524 | 2.885432 |
| 2.17212 | 2.885308 |
| 2.17903 | 2.885184 |
| 2.18596 | 2.885062 |
| 2.19291 | 2.88494 |
| 2.19989 | 2.884819 |
| 2.20688 | 2.884699 |
| 2.2139 | 2.884579 |
| 2.22094 | 2.884461 |
| 2.22801 | 2.884343 |
| 2.23509 | 2.884226 |
| 2.2422 | 2.884109 |
| 2.24933 | 2.883994 |
| 2.25649 | 2.883879 |
| 2.26366 | 2.883764 |
| 2.27086 | 2.883651 |
| 2.27808 | 2.883538 |
| 2.28533 | 2.883426 |
| 2.2926 | 2.883315 |
| 2.29989 | 2.883205 |
| 2.3072 | 2.883095 |
| 2.31454 | 2.882986 |
| 2.3219 | 2.882877 |
| 2.32929 | 2.88277 |
| 2.33669 | 2.882663 |
| 2.34413 | 2.882556 |
| 2.35158 | 2.882451 |
| 2.35906 | 2.882346 |
| 2.36656 | 2.882242 |
| 2.37409 | 2.882138 |
| 2.38164 | 2.882035 |
| 2.38921 | 2.881933 |
| 2.39681 | 2.881831 |
| 2.40444 | 2.88173 |
| 2.41208 | 2.88163 |
| 2.41975 | 2.881531 |
| 2.42745 | 2.881432 |
| 2.43517 | 2.881333 |
| 2.44291 | 2.881236 |
| 2.45068 | 2.881138 |
| 2.45848 | 2.881042 |
| 2.4663 | 2.880946 |
| 2.47414 | 2.880851 |
| 2.48201 | 2.880756 |
| 2.4899 | 2.880662 |
| 2.49782 | 2.880569 |
| 2.50576 | 2.880476 |
| 2.51373 | 2.880384 |
| 2.52173 | 2.880292 |
| 2.52975 | 2.880201 |
| 2.53779 | 2.880111 |
| 2.54587 | 2.880021 |
| 2.55396 | 2.879932 |
| 2.56208 | 2.879843 |
| 2.57023 | 2.879755 |
| 2.57841 | 2.879668 |
| 2.58661 | 2.879581 |
| 2.59483 | 2.879494 |
| 2.60309 | 2.879408 |
| 2.61136 | 2.879323 |
| 2.61967 | 2.879238 |
| 2.628 | 2.879154 |
| 2.63636 | 2.87907 |
| 2.64474 | 2.878987 |
| 2.65316 | 2.878905 |
| 2.66159 | 2.878823 |
| 2.67006 | 2.878741 |
| 2.67855 | 2.87866 |
| 2.68707 | 2.878579 |
| 2.69561 | 2.878499 |
| 2.70419 | 2.87842 |
| 2.71279 | 2.878341 |
| 2.72142 | 2.878263 |
| 2.73007 | 2.878185 |
| 2.73875 | 2.878107 |
| 2.74746 | 2.87803 |
| 2.7562 | 2.877954 |
| 2.76497 | 2.877878 |
| 2.77376 | 2.877802 |
| 2.78258 | 2.877727 |
| 2.79143 | 2.877653 |
| 2.80031 | 2.877579 |
| 2.80921 | 2.877505 |
| 2.81815 | 2.877432 |
| 2.82711 | 2.87736 |
| 2.8361 | 2.877288 |
| 2.84512 | 2.877216 |
| 2.85417 | 2.877145 |
| 2.86325 | 2.877074 |
| 2.87235 | 2.877004 |
| 2.88149 | 2.876934 |
| 2.89065 | 2.876864 |
| 2.89985 | 2.876795 |
| 2.90907 | 2.876727 |
| 2.91832 | 2.876659 |
| 2.9276 | 2.876591 |
| 2.93691 | 2.876524 |
| 2.94625 | 2.876457 |
| 2.95562 | 2.876391 |
| 2.96502 | 2.876325 |
| 2.97445 | 2.876259 |
| 2.98391 | 2.876194 |
| 2.9934 | 2.87613 |
| 3.00292 | 2.876065 |
| 3.01247 | 2.876001 |
| 3.02206 | 2.875938 |
| 3.03167 | 2.875875 |
| 3.04131 | 2.875812 |
| 3.05098 | 2.87575 |
| 3.06068 | 2.875688 |
| 3.07042 | 2.875627 |
| 3.08018 | 2.875566 |
| 3.08998 | 2.875505 |
| 3.09981 | 2.875445 |
| 3.10966 | 2.875385 |
| 3.11955 | 2.875326 |
| 3.12948 | 2.875267 |
| 3.13943 | 2.875208 |
| 3.14941 | 2.875149 |
| 3.15943 | 2.875091 |
| 3.16948 | 2.875034 |
| 3.17956 | 2.874977 |
| 3.18967 | 2.87492 |
| 3.19981 | 2.874863 |
| 3.20999 | 2.874807 |
| 3.2202 | 2.874751 |
| 3.23044 | 2.874696 |
| 3.24071 | 2.874641 |
| 3.25102 | 2.874586 |
| 3.26136 | 2.874532 |
| 3.27173 | 2.874478 |
| 3.28214 | 2.874424 |
| 3.29258 | 2.874371 |
| 3.30305 | 2.874318 |
| 3.31355 | 2.874265 |
| 3.32409 | 2.874213 |
| 3.33466 | 2.874161 |
| 3.34527 | 2.874109 |
| 3.35591 | 2.874058 |
| 3.36658 | 2.874007 |
| 3.37729 | 2.873956 |
| 3.38803 | 2.873906 |
| 3.3988 | 2.873856 |
| 3.40961 | 2.873806 |
| 3.42046 | 2.873757 |
| 3.43134 | 2.873708 |
| 3.44225 | 2.873659 |
| 3.4532 | 2.87361 |
| 3.46418 | 2.873562 |
| 3.4752 | 2.873514 |
| 3.48625 | 2.873467 |
| 3.49734 | 2.87342 |
| 3.50846 | 2.873373 |
| 3.51962 | 2.873326 |
| 3.53081 | 2.87328 |
| 3.54204 | 2.873234 |
| 3.5533 | 2.873188 |
| 3.5646 | 2.873143 |
| 3.57594 | 2.873098 |
| 3.58731 | 2.873053 |
| 3.59872 | 2.873008 |
| 3.61017 | 2.872964 |
| 3.62165 | 2.87292 |
| 3.63317 | 2.872876 |
| 3.64472 | 2.872833 |
| 3.65631 | 2.87279 |
| 3.66794 | 2.872747 |
| 3.67961 | 2.872704 |
| 3.69131 | 2.872662 |
| 3.70305 | 2.87262 |
| 3.71483 | 2.872578 |
| 3.72664 | 2.872536 |
| 3.73849 | 2.872495 |
| 3.75038 | 2.872454 |
| 3.76231 | 2.872413 |
| 3.77428 | 2.872373 |
| 3.78628 | 2.872332 |
| 3.79832 | 2.872293 |
| 3.8104 | 2.872253 |
| 3.82252 | 2.872213 |
| 3.83468 | 2.872174 |
| 3.84687 | 2.872135 |
| 3.85911 | 2.872096 |
| 3.87138 | 2.872058 |
| 3.88369 | 2.87202 |
| 3.89604 | 2.871982 |
| 3.90843 | 2.871944 |
| 3.92087 | 2.871907 |
| 3.93333 | 2.871869 |
| 3.94584 | 2.871832 |
| 3.95839 | 2.871795 |
| 3.97098 | 2.871759 |
| 3.98361 | 2.871723 |
| 3.99628 | 2.871687 |
| 4.00899 | 2.871651 |
| 4.02174 | 2.871615 |
| 4.03453 | 2.87158 |
| 4.04736 | 2.871544 |
| 4.06023 | 2.87151 |
| 4.07315 | 2.871475 |
| 4.0861 | 2.87144 |
| 4.0991 | 2.871406 |
| 4.11213 | 2.871372 |
| 4.12521 | 2.871338 |
| 4.13833 | 2.871304 |
| 4.15149 | 2.871271 |
| 4.1647 | 2.871238 |
| 4.17794 | 2.871205 |
| 4.19123 | 2.871172 |
| 4.20456 | 2.871139 |
| 4.21793 | 2.871107 |
| 4.23134 | 2.871075 |
| 4.2448 | 2.871043 |
| 4.2583 | 2.871011 |
| 4.27184 | 2.87098 |
| 4.28543 | 2.870948 |
| 4.29906 | 2.870917 |
| 4.31273 | 2.870886 |
| 4.32645 | 2.870855 |
| 4.34021 | 2.870825 |
| 4.35401 | 2.870795 |
| 4.36786 | 2.870764 |
| 4.38175 | 2.870734 |
| 4.39569 | 2.870705 |
| 4.40966 | 2.870675 |
| 4.42369 | 2.870646 |
| 4.43776 | 2.870616 |
| 4.45187 | 2.870587 |
| 4.46603 | 2.870559 |
| 4.48023 | 2.87053 |
| 4.49448 | 2.870501 |
| 4.50878 | 2.870473 |
| 4.52312 | 2.870445 |
| 4.5375 | 2.870417 |
| 4.55193 | 2.870389 |
| 4.56641 | 2.870362 |
| 4.58093 | 2.870334 |
| 4.5955 | 2.870307 |
| 4.61012 | 2.87028 |
| 4.62478 | 2.870253 |
| 4.63949 | 2.870226 |
| 4.65424 | 2.8702 |
| 4.66904 | 2.870173 |
| 4.68389 | 2.870147 |
| 4.69879 | 2.870121 |
| 4.71373 | 2.870095 |
| 4.72872 | 2.870069 |
| 4.74376 | 2.870044 |
| 4.75885 | 2.870019 |
| 4.77398 | 2.869993 |
| 4.78917 | 2.869968 |
| 4.8044 | 2.869943 |
| 4.81968 | 2.869919 |
| 4.83501 | 2.869894 |
| 4.85038 | 2.86987 |
| 4.86581 | 2.869845 |
| 4.88129 | 2.869821 |
| 4.89681 | 2.869797 |
| 4.91238 | 2.869773 |
| 4.92801 | 2.86975 |
| 4.94368 | 2.869726 |
| 4.9594 | 2.869703 |
| 4.97517 | 2.86968 |
| 4.991 | 2.869656 |
| 5.00687 | 2.869634 |
| 5.02279 | 2.869611 |
| 5.03877 | 2.869588 |
| 5.05479 | 2.869566 |
| 5.07087 | 2.869543 |
| 5.087 | 2.869521 |
| 5.10317 | 2.869499 |
| 5.1194 | 2.869477 |
| 5.13569 | 2.869455 |
| 5.15202 | 2.869434 |
| 5.1684 | 2.869412 |
| 5.18484 | 2.869391 |
| 5.20133 | 2.869369 |
| 5.21787 | 2.869348 |
| 5.23447 | 2.869327 |
| 5.25112 | 2.869307 |
| 5.26782 | 2.869286 |
| 5.28457 | 2.869265 |
| 5.30138 | 2.869245 |
| 5.31824 | 2.869225 |
| 5.33515 | 2.869204 |
| 5.35212 | 2.869184 |
| 5.36914 | 2.869164 |
| 5.38622 | 2.869145 |
| 5.40335 | 2.869125 |
| 5.42053 | 2.869105 |
| 5.43777 | 2.869086 |
| 5.45506 | 2.869067 |
| 5.47241 | 2.869047 |
| 5.48982 | 2.869028 |
| 5.50728 | 2.869009 |
| 5.52479 | 2.868991 |
| 5.54236 | 2.868972 |
| 5.55999 | 2.868953 |
| 5.57767 | 2.868935 |
| 5.59541 | 2.868917 |
| 5.61321 | 2.868898 |
| 5.63106 | 2.86888 |
| 5.64897 | 2.868862 |
| 5.66693 | 2.868844 |
| 5.68496 | 2.868827 |
| 5.70304 | 2.868809 |
| 5.72117 | 2.868791 |
| 5.73937 | 2.868774 |
| 5.75762 | 2.868757 |
| 5.77593 | 2.868739 |
| 5.7943 | 2.868722 |
| 5.81273 | 2.868705 |
| 5.83122 | 2.868688 |
| 5.84976 | 2.868672 |
| 5.86837 | 2.868655 |
| 5.88703 | 2.868638 |
| 5.90575 | 2.868622 |
| 5.92454 | 2.868606 |
| 5.94338 | 2.868589 |
| 5.96228 | 2.868573 |
| 5.98124 | 2.868557 |
| 6.00026 | 2.868541 |
| 6.01935 | 2.868525 |
| 6.03849 | 2.86851 |
| 6.0577 | 2.868494 |
| 6.07696 | 2.868478 |
| 6.09629 | 2.868463 |
| 6.11568 | 2.868448 |
| 6.13513 | 2.868432 |
| 6.15464 | 2.868417 |
| 6.17421 | 2.868402 |
| 6.19385 | 2.868387 |
| 6.21355 | 2.868372 |
| 6.23331 | 2.868358 |
| 6.25313 | 2.868343 |
| 6.27302 | 2.868328 |
| 6.29297 | 2.868314 |
| 6.31298 | 2.868299 |
| 6.33306 | 2.868285 |
| 6.3532 | 2.868271 |
| 6.37341 | 2.868257 |
| 6.39368 | 2.868243 |
| 6.41401 | 2.868229 |
| 6.43441 | 2.868215 |
| 6.45487 | 2.868201 |
| 6.4754 | 2.868187 |
| 6.496 | 2.868174 |
| 6.51666 | 2.86816 |
| 6.53738 | 2.868147 |
| 6.55817 | 2.868134 |
| 6.57903 | 2.86812 |
| 6.59995 | 2.868107 |
| 6.62094 | 2.868094 |
| 6.642 | 2.868081 |
| 6.66313 | 2.868068 |
| 6.68432 | 2.868055 |
| 6.70557 | 2.868043 |
| 6.7269 | 2.86803 |
| 6.74829 | 2.868017 |
| 6.76976 | 2.868005 |
| 6.79129 | 2.867992 |
| 6.81289 | 2.86798 |
| 6.83455 | 2.867968 |
| 6.85629 | 2.867956 |
| 6.87809 | 2.867943 |
| 6.89997 | 2.867931 |
| 6.92191 | 2.867919 |
| 6.94393 | 2.867907 |
| 6.96601 | 2.867896 |
| 6.98817 | 2.867884 |
| 7.01039 | 2.867872 |
| 7.03269 | 2.867861 |
| 7.05505 | 2.867849 |
| 7.07749 | 2.867838 |
| 7.1 | 2.867826 |
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
- —
Al0.929Ga0.071As (interpolation for other alloy ratios possible). Relative standard uncertainty ≤3.3×10-4 over whole range. Measured in a high-purity GaAs/AlGaAs crystalline thin-film multilayer. Sample grown via molecular beam epitaxy on GaAs seed wafer. Optical measurements at 2.21 mbar and 22 °C.