Optical constants
Refractive index of GaAs (Gallium arsenide)
Kachare et al. 1976: n 1.4–11 µm
- Data
- formula 1
- Range
- 1.4–11 µm
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 3.32526
- Extinction coefficient k
- 0
- Permittivity ε1
- 11.0573
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.00806216 µm⁻¹
- Group index ng
- 3.35686
- Group velocity dispersion
- 477.857 fs²/mm
- Dispersion parameter D
- -58.5769 ps/(nm·km)
- Photon energy
- 0.316286 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
# GaAs (Gallium arsenide): Kachare et al. 1976: n 1.4–11 µm
gaas = ls.fetch_refractiveindex("main", "GaAs", "Kachare", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(gaas.range_nm) # (1400, 11000) nm
eps = gaas.eps([3920]) # complex permittivityDownloads 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_20a47ff4d4c4/lightsmith"
gaas = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(gaas.source) # citation and provenance travel with the dataAny dataset here, as the library's Tabulated material (gaas/kachare-1976).
# ... load gaas as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=gaas)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=1400, stop_nm=11000, num=81),
)
res = ls.solve(sim) # exact Mie for a sphere
print(res.q_ext) # extinction efficiency at each wavelengthSame 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_20a47ff4d4c4/lightsmith?model=drude_lorentz"
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 1.4 to 11.0 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 2.5 |
| C2 | 7.4969 |
| C3 | 0.4082 |
| C4 | 1.9347 |
| C5 | 37.17 |
Comments and conditions
References
A. H. Kachare, W. G. Spitzer, J. E. Fredrickson.
Refractive index of ion-implanted GaAs.
J. Appl. Phys., 47, 4209-4212 (1976)
- doi:10.1063/1.323292 Refractive index of ion-implanted GaAs, Journal of Applied Physics (1976)
Cite
A. H. Kachare, W. G. Spitzer and J. E. Fredrickson. Refractive index of ion-implanted GaAs. Journal of Applied Physics, 47, 4209-4212 (1976), doi:10.1063/1.323292; 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
CSV comma separated
TXT tab separated
YAML n, k
Full database record original YAML
All quantities CSV
JSON metadata
| λ (µm) | n |
|---|---|
| 1.4 | 3.419168 |
| 1.40725 | 3.41802 |
| 1.41454 | 3.416886 |
| 1.42187 | 3.415765 |
| 1.42923 | 3.414657 |
| 1.43664 | 3.413563 |
| 1.44408 | 3.412481 |
| 1.45156 | 3.411411 |
| 1.45908 | 3.410354 |
| 1.46663 | 3.409309 |
| 1.47423 | 3.408277 |
| 1.48187 | 3.407256 |
| 1.48954 | 3.406247 |
| 1.49726 | 3.40525 |
| 1.50502 | 3.404264 |
| 1.51281 | 3.40329 |
| 1.52065 | 3.402327 |
| 1.52852 | 3.401375 |
| 1.53644 | 3.400433 |
| 1.5444 | 3.399503 |
| 1.5524 | 3.398583 |
| 1.56044 | 3.397674 |
| 1.56852 | 3.396775 |
| 1.57665 | 3.395886 |
| 1.58481 | 3.395008 |
| 1.59302 | 3.394139 |
| 1.60128 | 3.39328 |
| 1.60957 | 3.392431 |
| 1.61791 | 3.391591 |
| 1.62629 | 3.390761 |
| 1.63471 | 3.389941 |
| 1.64318 | 3.389129 |
| 1.65169 | 3.388327 |
| 1.66025 | 3.387534 |
| 1.66885 | 3.386749 |
| 1.67749 | 3.385973 |
| 1.68618 | 3.385206 |
| 1.69491 | 3.384448 |
| 1.70369 | 3.383698 |
| 1.71252 | 3.382956 |
| 1.72139 | 3.382223 |
| 1.7303 | 3.381497 |
| 1.73927 | 3.38078 |
| 1.74828 | 3.380071 |
| 1.75733 | 3.379369 |
| 1.76644 | 3.378676 |
| 1.77559 | 3.377989 |
| 1.78478 | 3.377311 |
| 1.79403 | 3.37664 |
| 1.80332 | 3.375976 |
| 1.81266 | 3.37532 |
| 1.82205 | 3.37467 |
| 1.83149 | 3.374028 |
| 1.84098 | 3.373393 |
| 1.85051 | 3.372765 |
| 1.8601 | 3.372143 |
| 1.86973 | 3.371529 |
| 1.87942 | 3.370921 |
| 1.88915 | 3.370319 |
| 1.89894 | 3.369725 |
| 1.90877 | 3.369136 |
| 1.91866 | 3.368554 |
| 1.9286 | 3.367978 |
| 1.93859 | 3.367409 |
| 1.94863 | 3.366845 |
| 1.95872 | 3.366288 |
| 1.96887 | 3.365736 |
| 1.97907 | 3.365191 |
| 1.98932 | 3.364651 |
| 1.99962 | 3.364117 |
| 2.00998 | 3.363589 |
| 2.02039 | 3.363066 |
| 2.03086 | 3.362549 |
| 2.04138 | 3.362038 |
| 2.05195 | 3.361532 |
| 2.06258 | 3.361031 |
| 2.07326 | 3.360535 |
| 2.084 | 3.360045 |
| 2.0948 | 3.35956 |
| 2.10565 | 3.35908 |
| 2.11656 | 3.358605 |
| 2.12752 | 3.358135 |
| 2.13854 | 3.35767 |
| 2.14962 | 3.35721 |
| 2.16075 | 3.356754 |
| 2.17194 | 3.356304 |
| 2.18319 | 3.355858 |
| 2.1945 | 3.355417 |
| 2.20587 | 3.35498 |
| 2.2173 | 3.354548 |
| 2.22878 | 3.35412 |
| 2.24033 | 3.353697 |
| 2.25193 | 3.353278 |
| 2.2636 | 3.352863 |
| 2.27532 | 3.352453 |
| 2.28711 | 3.352047 |
| 2.29895 | 3.351645 |
| 2.31086 | 3.351247 |
| 2.32283 | 3.350853 |
| 2.33486 | 3.350463 |
| 2.34696 | 3.350077 |
| 2.35911 | 3.349695 |
| 2.37133 | 3.349317 |
| 2.38362 | 3.348943 |
| 2.39596 | 3.348572 |
| 2.40837 | 3.348206 |
| 2.42085 | 3.347843 |
| 2.43339 | 3.347483 |
| 2.44599 | 3.347127 |
| 2.45866 | 3.346775 |
| 2.4714 | 3.346426 |
| 2.4842 | 3.346081 |
| 2.49707 | 3.345739 |
| 2.51 | 3.3454 |
| 2.523 | 3.345065 |
| 2.53607 | 3.344733 |
| 2.54921 | 3.344405 |
| 2.56241 | 3.344079 |
| 2.57569 | 3.343757 |
| 2.58903 | 3.343438 |
| 2.60244 | 3.343122 |
| 2.61592 | 3.342809 |
| 2.62947 | 3.3425 |
| 2.64309 | 3.342193 |
| 2.65678 | 3.341889 |
| 2.67054 | 3.341588 |
| 2.68438 | 3.34129 |
| 2.69828 | 3.340994 |
| 2.71226 | 3.340702 |
| 2.72631 | 3.340412 |
| 2.74043 | 3.340126 |
| 2.75462 | 3.339841 |
| 2.76889 | 3.33956 |
| 2.78323 | 3.339281 |
| 2.79765 | 3.339005 |
| 2.81214 | 3.338731 |
| 2.82671 | 3.33846 |
| 2.84135 | 3.338191 |
| 2.85607 | 3.337925 |
| 2.87086 | 3.337661 |
| 2.88573 | 3.3374 |
| 2.90068 | 3.337141 |
| 2.9157 | 3.336885 |
| 2.93081 | 3.336631 |
| 2.94599 | 3.336379 |
| 2.96125 | 3.336129 |
| 2.97659 | 3.335882 |
| 2.99201 | 3.335636 |
| 3.0075 | 3.335393 |
| 3.02308 | 3.335153 |
| 3.03874 | 3.334914 |
| 3.05448 | 3.334677 |
| 3.0703 | 3.334443 |
| 3.08621 | 3.33421 |
| 3.10219 | 3.33398 |
| 3.11826 | 3.333751 |
| 3.13441 | 3.333525 |
| 3.15065 | 3.3333 |
| 3.16697 | 3.333077 |
| 3.18337 | 3.332857 |
| 3.19986 | 3.332638 |
| 3.21644 | 3.332421 |
| 3.2331 | 3.332205 |
| 3.24985 | 3.331992 |
| 3.26668 | 3.33178 |
| 3.2836 | 3.33157 |
| 3.30061 | 3.331362 |
| 3.31771 | 3.331155 |
| 3.33489 | 3.33095 |
| 3.35216 | 3.330747 |
| 3.36953 | 3.330545 |
| 3.38698 | 3.330345 |
| 3.40453 | 3.330147 |
| 3.42216 | 3.32995 |
| 3.43989 | 3.329754 |
| 3.45771 | 3.329561 |
| 3.47562 | 3.329368 |
| 3.49362 | 3.329177 |
| 3.51172 | 3.328988 |
| 3.52991 | 3.328799 |
| 3.54819 | 3.328613 |
| 3.56657 | 3.328427 |
| 3.58504 | 3.328243 |
| 3.60361 | 3.328061 |
| 3.62228 | 3.327879 |
| 3.64104 | 3.327699 |
| 3.6599 | 3.32752 |
| 3.67886 | 3.327343 |
| 3.69792 | 3.327167 |
| 3.71707 | 3.326992 |
| 3.73632 | 3.326818 |
| 3.75568 | 3.326645 |
| 3.77513 | 3.326473 |
| 3.79469 | 3.326303 |
| 3.81434 | 3.326133 |
| 3.8341 | 3.325965 |
| 3.85396 | 3.325798 |
| 3.87392 | 3.325632 |
| 3.89399 | 3.325467 |
| 3.91416 | 3.325303 |
| 3.93443 | 3.32514 |
| 3.95481 | 3.324978 |
| 3.9753 | 3.324816 |
| 3.99589 | 3.324656 |
| 4.01659 | 3.324497 |
| 4.03739 | 3.324339 |
| 4.05831 | 3.324181 |
| 4.07933 | 3.324025 |
| 4.10046 | 3.323869 |
| 4.1217 | 3.323714 |
| 4.14305 | 3.32356 |
| 4.16451 | 3.323407 |
| 4.18608 | 3.323254 |
| 4.20776 | 3.323102 |
| 4.22956 | 3.322951 |
| 4.25147 | 3.322801 |
| 4.27349 | 3.322652 |
| 4.29562 | 3.322503 |
| 4.31788 | 3.322355 |
| 4.34024 | 3.322207 |
| 4.36272 | 3.322061 |
| 4.38532 | 3.321914 |
| 4.40804 | 3.321769 |
| 4.43087 | 3.321624 |
| 4.45382 | 3.321479 |
| 4.47689 | 3.321336 |
| 4.50008 | 3.321192 |
| 4.52339 | 3.32105 |
| 4.54682 | 3.320907 |
| 4.57037 | 3.320766 |
| 4.59405 | 3.320624 |
| 4.61784 | 3.320484 |
| 4.64176 | 3.320343 |
| 4.66581 | 3.320204 |
| 4.68997 | 3.320064 |
| 4.71427 | 3.319925 |
| 4.73869 | 3.319786 |
| 4.76323 | 3.319648 |
| 4.78791 | 3.31951 |
| 4.81271 | 3.319373 |
| 4.83763 | 3.319236 |
| 4.86269 | 3.319099 |
| 4.88788 | 3.318962 |
| 4.9132 | 3.318826 |
| 4.93865 | 3.31869 |
| 4.96423 | 3.318554 |
| 4.98994 | 3.318418 |
| 5.01579 | 3.318283 |
| 5.04177 | 3.318148 |
| 5.06789 | 3.318013 |
| 5.09414 | 3.317878 |
| 5.12053 | 3.317743 |
| 5.14705 | 3.317609 |
| 5.17371 | 3.317475 |
| 5.20051 | 3.31734 |
| 5.22745 | 3.317206 |
| 5.25452 | 3.317072 |
| 5.28174 | 3.316938 |
| 5.3091 | 3.316804 |
| 5.3366 | 3.31667 |
| 5.36424 | 3.316536 |
| 5.39203 | 3.316402 |
| 5.41996 | 3.316269 |
| 5.44803 | 3.316135 |
| 5.47625 | 3.316001 |
| 5.50462 | 3.315867 |
| 5.53313 | 3.315733 |
| 5.56179 | 3.315598 |
| 5.5906 | 3.315464 |
| 5.61956 | 3.31533 |
| 5.64867 | 3.315195 |
| 5.67793 | 3.31506 |
| 5.70734 | 3.314926 |
| 5.7369 | 3.314791 |
| 5.76662 | 3.314655 |
| 5.79649 | 3.31452 |
| 5.82651 | 3.314384 |
| 5.8567 | 3.314248 |
| 5.88703 | 3.314112 |
| 5.91753 | 3.313976 |
| 5.94818 | 3.313839 |
| 5.97899 | 3.313702 |
| 6.00996 | 3.313564 |
| 6.04109 | 3.313427 |
| 6.07238 | 3.313288 |
| 6.10384 | 3.31315 |
| 6.13545 | 3.313011 |
| 6.16723 | 3.312872 |
| 6.19918 | 3.312732 |
| 6.23129 | 3.312592 |
| 6.26357 | 3.312451 |
| 6.29601 | 3.31231 |
| 6.32862 | 3.312169 |
| 6.3614 | 3.312026 |
| 6.39435 | 3.311884 |
| 6.42748 | 3.311741 |
| 6.46077 | 3.311597 |
| 6.49424 | 3.311453 |
| 6.52787 | 3.311308 |
| 6.56169 | 3.311162 |
| 6.59568 | 3.311016 |
| 6.62984 | 3.310869 |
| 6.66418 | 3.310722 |
| 6.6987 | 3.310573 |
| 6.7334 | 3.310425 |
| 6.76828 | 3.310275 |
| 6.80334 | 3.310125 |
| 6.83858 | 3.309974 |
| 6.874 | 3.309822 |
| 6.90961 | 3.309669 |
| 6.9454 | 3.309515 |
| 6.98137 | 3.309361 |
| 7.01754 | 3.309206 |
| 7.05388 | 3.30905 |
| 7.09042 | 3.308893 |
| 7.12715 | 3.308735 |
| 7.16407 | 3.308576 |
| 7.20118 | 3.308416 |
| 7.23848 | 3.308256 |
| 7.27597 | 3.308094 |
| 7.31366 | 3.307931 |
| 7.35154 | 3.307767 |
| 7.38962 | 3.307602 |
| 7.4279 | 3.307436 |
| 7.46638 | 3.307269 |
| 7.50505 | 3.307101 |
| 7.54393 | 3.306932 |
| 7.583 | 3.306761 |
| 7.62228 | 3.306589 |
| 7.66176 | 3.306417 |
| 7.70145 | 3.306242 |
| 7.74134 | 3.306067 |
| 7.78144 | 3.30589 |
| 7.82175 | 3.305712 |
| 7.86226 | 3.305533 |
| 7.90299 | 3.305352 |
| 7.94392 | 3.30517 |
| 7.98507 | 3.304987 |
| 8.02643 | 3.304802 |
| 8.06801 | 3.304615 |
| 8.1098 | 3.304427 |
| 8.15181 | 3.304238 |
| 8.19403 | 3.304047 |
| 8.23648 | 3.303855 |
| 8.27914 | 3.303661 |
| 8.32203 | 3.303465 |
| 8.36513 | 3.303268 |
| 8.40846 | 3.303069 |
| 8.45202 | 3.302868 |
| 8.4958 | 3.302666 |
| 8.5398 | 3.302462 |
| 8.58404 | 3.302256 |
| 8.6285 | 3.302048 |
| 8.6732 | 3.301839 |
| 8.71812 | 3.301627 |
| 8.76328 | 3.301414 |
| 8.80867 | 3.301199 |
| 8.8543 | 3.300982 |
| 8.90017 | 3.300762 |
| 8.94627 | 3.300541 |
| 8.99261 | 3.300318 |
| 9.03919 | 3.300093 |
| 9.08601 | 3.299865 |
| 9.13307 | 3.299636 |
| 9.18038 | 3.299404 |
| 9.22793 | 3.29917 |
| 9.27573 | 3.298934 |
| 9.32378 | 3.298695 |
| 9.37208 | 3.298454 |
| 9.42062 | 3.298211 |
| 9.46942 | 3.297965 |
| 9.51847 | 3.297717 |
| 9.56777 | 3.297467 |
| 9.61733 | 3.297213 |
| 9.66715 | 3.296958 |
| 9.71722 | 3.2967 |
| 9.76756 | 3.296439 |
| 9.81815 | 3.296175 |
| 9.86901 | 3.295909 |
| 9.92013 | 3.29564 |
| 9.97151 | 3.295368 |
| 10.0232 | 3.295093 |
| 10.0751 | 3.294816 |
| 10.1273 | 3.294535 |
| 10.1797 | 3.294252 |
| 10.2325 | 3.293966 |
| 10.2855 | 3.293676 |
| 10.3387 | 3.293383 |
| 10.3923 | 3.293088 |
| 10.4461 | 3.292789 |
| 10.5002 | 3.292486 |
| 10.5546 | 3.292181 |
| 10.6093 | 3.291872 |
| 10.6642 | 3.291559 |
| 10.7195 | 3.291243 |
| 10.775 | 3.290924 |
| 10.8308 | 3.290601 |
| 10.8869 | 3.290274 |
| 10.9433 | 3.289944 |
| 11 | 3.28961 |
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
- —
Room temperature