Optical constants
Refractive index of InP (Indium phosphide)
Pettit and Turner 1965: n 0.95–10 µm
- Data
- formula 1
- Range
- 0.95–10 µm
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 3.10588
- Extinction coefficient k
- 0
- Permittivity ε1
- 9.6465
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.0134656 µm⁻¹
- Group index ng
- 3.14736
- Group velocity dispersion
- 532.776 fs²/mm
- Dispersion parameter D
- -105.79 ps/(nm·km)
- Photon energy
- 0.402546 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
# InP (Indium phosphide): Pettit and Turner 1965: n 0.95–10 µm
inp = ls.fetch_refractiveindex("main", "InP", "Pettit", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(inp.range_nm) # (950, 10000) nm
eps = inp.eps([3080]) # 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_d266b27dd706/lightsmith"
inp = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(inp.source) # citation and provenance travel with the dataAny dataset here, as the library's Tabulated material (inp/pettit-turner-1965).
# ... load inp as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=inp)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=950, stop_nm=1000, 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_d266b27dd706/lightsmith?model=drude_lorentz"
inp_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 0.95 to 10.0 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 6.255 |
| C2 | 2.316 |
| C3 | 0.6263 |
| C4 | 2.765 |
| C5 | 32.935 |
Comments and conditions
References
1) G. D. Pettit and W. J. Turner.
Refractive index of InP.
J. Appl. Phys. 36, 2081 (1965)
2) A. N. Pikhtin and A. D. Yas’kov. Disperson of the refractive index of semiconductors with diamond and zinc-blende structures, Sov. Phys. Semicond. 12, 622-626 (1978) (as cited in Handbook of Optics, 2nd edition, Vol. 2. McGraw-Hill 1994)
3) Handbook of Optics, 2nd edition, Vol. 2. McGraw-Hill 1994
* Ref. 3 provides a Sellmeier equation based on data from Ref. 1 and Ref. 2.
2) A. N. Pikhtin and A. D. Yas’kov. Disperson of the refractive index of semiconductors with diamond and zinc-blende structures, Sov. Phys. Semicond. 12, 622-626 (1978) (as cited in Handbook of Optics, 2nd edition, Vol. 2. McGraw-Hill 1994)
3) Handbook of Optics, 2nd edition, Vol. 2. McGraw-Hill 1994
* Ref. 3 provides a Sellmeier equation based on data from Ref. 1 and Ref. 2.
- doi:10.1063/1.1714410 Refractive Index of InP, Journal of Applied Physics (1965)
Cite
G. D. Pettit and W. J. Turner. Refractive Index of InP. Journal of Applied Physics, 36, 2081-2081 (1965), doi:10.1063/1.1714410; A. N. Pikhtin and A. D. Yas’kov. Disperson of the refractive index of semiconductors with diamond and zinc-blende structures, Sov. Phys. Semicond. 12, 622-626 (1978) (as cited in Handbook of Optics, 2nd edition, Vol. 2. McGraw-Hill 1994); 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 |
|---|---|
| 0.95 | 3.368845 |
| 0.955621 | 3.363403 |
| 0.961275 | 3.358111 |
| 0.966963 | 3.352964 |
| 0.972684 | 3.347955 |
| 0.97844 | 3.343079 |
| 0.984229 | 3.338332 |
| 0.990053 | 3.333709 |
| 0.995911 | 3.329205 |
| 1.0018 | 3.324816 |
| 1.00773 | 3.320538 |
| 1.01369 | 3.316367 |
| 1.01969 | 3.312299 |
| 1.02572 | 3.308331 |
| 1.03179 | 3.30446 |
| 1.0379 | 3.300681 |
| 1.04404 | 3.296993 |
| 1.05022 | 3.293392 |
| 1.05643 | 3.289875 |
| 1.06268 | 3.28644 |
| 1.06897 | 3.283084 |
| 1.07529 | 3.279804 |
| 1.08166 | 3.276599 |
| 1.08806 | 3.273465 |
| 1.0945 | 3.270401 |
| 1.10097 | 3.267405 |
| 1.10749 | 3.264474 |
| 1.11404 | 3.261606 |
| 1.12063 | 3.258801 |
| 1.12726 | 3.256055 |
| 1.13393 | 3.253368 |
| 1.14064 | 3.250737 |
| 1.14739 | 3.248161 |
| 1.15418 | 3.245639 |
| 1.16101 | 3.243168 |
| 1.16788 | 3.240748 |
| 1.17479 | 3.238377 |
| 1.18174 | 3.236054 |
| 1.18873 | 3.233777 |
| 1.19576 | 3.231545 |
| 1.20284 | 3.229358 |
| 1.20996 | 3.227213 |
| 1.21712 | 3.225111 |
| 1.22432 | 3.223049 |
| 1.23156 | 3.221026 |
| 1.23885 | 3.219042 |
| 1.24618 | 3.217096 |
| 1.25355 | 3.215187 |
| 1.26097 | 3.213313 |
| 1.26843 | 3.211475 |
| 1.27593 | 3.20967 |
| 1.28348 | 3.207899 |
| 1.29108 | 3.20616 |
| 1.29872 | 3.204453 |
| 1.3064 | 3.202777 |
| 1.31413 | 3.201131 |
| 1.32191 | 3.199514 |
| 1.32973 | 3.197927 |
| 1.3376 | 3.196367 |
| 1.34551 | 3.194835 |
| 1.35347 | 3.19333 |
| 1.36148 | 3.191851 |
| 1.36954 | 3.190397 |
| 1.37764 | 3.188969 |
| 1.38579 | 3.187565 |
| 1.39399 | 3.186185 |
| 1.40224 | 3.184829 |
| 1.41054 | 3.183495 |
| 1.41888 | 3.182184 |
| 1.42728 | 3.180895 |
| 1.43572 | 3.179628 |
| 1.44422 | 3.178381 |
| 1.45276 | 3.177155 |
| 1.46136 | 3.175949 |
| 1.47 | 3.174763 |
| 1.4787 | 3.173596 |
| 1.48745 | 3.172448 |
| 1.49625 | 3.171319 |
| 1.50511 | 3.170208 |
| 1.51401 | 3.169114 |
| 1.52297 | 3.168038 |
| 1.53198 | 3.166979 |
| 1.54105 | 3.165937 |
| 1.55016 | 3.164911 |
| 1.55934 | 3.163901 |
| 1.56856 | 3.162906 |
| 1.57784 | 3.161928 |
| 1.58718 | 3.160964 |
| 1.59657 | 3.160015 |
| 1.60602 | 3.159081 |
| 1.61552 | 3.158161 |
| 1.62508 | 3.157254 |
| 1.63469 | 3.156362 |
| 1.64437 | 3.155483 |
| 1.6541 | 3.154617 |
| 1.66388 | 3.153764 |
| 1.67373 | 3.152924 |
| 1.68363 | 3.152097 |
| 1.69359 | 3.151281 |
| 1.70361 | 3.150478 |
| 1.71369 | 3.149686 |
| 1.72383 | 3.148906 |
| 1.73403 | 3.148137 |
| 1.74429 | 3.147379 |
| 1.75461 | 3.146632 |
| 1.765 | 3.145896 |
| 1.77544 | 3.145171 |
| 1.78594 | 3.144456 |
| 1.79651 | 3.143751 |
| 1.80714 | 3.143056 |
| 1.81783 | 3.14237 |
| 1.82859 | 3.141695 |
| 1.83941 | 3.141029 |
| 1.85029 | 3.140372 |
| 1.86124 | 3.139724 |
| 1.87225 | 3.139085 |
| 1.88333 | 3.138455 |
| 1.89447 | 3.137833 |
| 1.90568 | 3.137221 |
| 1.91696 | 3.136616 |
| 1.9283 | 3.13602 |
| 1.93971 | 3.135431 |
| 1.95119 | 3.134851 |
| 1.96273 | 3.134278 |
| 1.97435 | 3.133713 |
| 1.98603 | 3.133155 |
| 1.99778 | 3.132605 |
| 2.0096 | 3.132062 |
| 2.02149 | 3.131527 |
| 2.03345 | 3.130998 |
| 2.04548 | 3.130476 |
| 2.05759 | 3.129961 |
| 2.06976 | 3.129453 |
| 2.08201 | 3.128951 |
| 2.09433 | 3.128455 |
| 2.10672 | 3.127966 |
| 2.11918 | 3.127483 |
| 2.13172 | 3.127006 |
| 2.14434 | 3.126535 |
| 2.15702 | 3.12607 |
| 2.16979 | 3.125611 |
| 2.18263 | 3.125158 |
| 2.19554 | 3.12471 |
| 2.20853 | 3.124268 |
| 2.2216 | 3.123831 |
| 2.23474 | 3.123399 |
| 2.24797 | 3.122973 |
| 2.26127 | 3.122552 |
| 2.27465 | 3.122136 |
| 2.2881 | 3.121725 |
| 2.30164 | 3.121318 |
| 2.31526 | 3.120917 |
| 2.32896 | 3.12052 |
| 2.34274 | 3.120128 |
| 2.3566 | 3.119741 |
| 2.37055 | 3.119358 |
| 2.38457 | 3.118979 |
| 2.39868 | 3.118605 |
| 2.41287 | 3.118235 |
| 2.42715 | 3.11787 |
| 2.44151 | 3.117508 |
| 2.45596 | 3.11715 |
| 2.47049 | 3.116797 |
| 2.48511 | 3.116447 |
| 2.49981 | 3.116102 |
| 2.5146 | 3.11576 |
| 2.52948 | 3.115421 |
| 2.54445 | 3.115087 |
| 2.5595 | 3.114756 |
| 2.57465 | 3.114428 |
| 2.58988 | 3.114105 |
| 2.60521 | 3.113784 |
| 2.62062 | 3.113467 |
| 2.63613 | 3.113153 |
| 2.65172 | 3.112842 |
| 2.66741 | 3.112535 |
| 2.6832 | 3.11223 |
| 2.69907 | 3.111929 |
| 2.71504 | 3.111631 |
| 2.73111 | 3.111336 |
| 2.74727 | 3.111043 |
| 2.76352 | 3.110754 |
| 2.77987 | 3.110467 |
| 2.79632 | 3.110183 |
| 2.81287 | 3.109902 |
| 2.82951 | 3.109623 |
| 2.84625 | 3.109347 |
| 2.86309 | 3.109074 |
| 2.88003 | 3.108803 |
| 2.89708 | 3.108534 |
| 2.91422 | 3.108268 |
| 2.93146 | 3.108004 |
| 2.94881 | 3.107743 |
| 2.96625 | 3.107484 |
| 2.9838 | 3.107227 |
| 3.00146 | 3.106972 |
| 3.01922 | 3.10672 |
| 3.03708 | 3.106469 |
| 3.05505 | 3.106221 |
| 3.07313 | 3.105974 |
| 3.09131 | 3.10573 |
| 3.1096 | 3.105487 |
| 3.128 | 3.105247 |
| 3.14651 | 3.105008 |
| 3.16513 | 3.104771 |
| 3.18386 | 3.104536 |
| 3.20269 | 3.104302 |
| 3.22164 | 3.104071 |
| 3.24071 | 3.10384 |
| 3.25988 | 3.103612 |
| 3.27917 | 3.103385 |
| 3.29857 | 3.10316 |
| 3.31809 | 3.102936 |
| 3.33772 | 3.102713 |
| 3.35747 | 3.102492 |
| 3.37734 | 3.102273 |
| 3.39732 | 3.102055 |
| 3.41742 | 3.101838 |
| 3.43764 | 3.101622 |
| 3.45798 | 3.101408 |
| 3.47844 | 3.101194 |
| 3.49902 | 3.100982 |
| 3.51973 | 3.100772 |
| 3.54055 | 3.100562 |
| 3.5615 | 3.100353 |
| 3.58257 | 3.100146 |
| 3.60377 | 3.099939 |
| 3.6251 | 3.099734 |
| 3.64654 | 3.099529 |
| 3.66812 | 3.099325 |
| 3.68982 | 3.099122 |
| 3.71166 | 3.09892 |
| 3.73362 | 3.098719 |
| 3.75571 | 3.098519 |
| 3.77793 | 3.098319 |
| 3.80029 | 3.09812 |
| 3.82277 | 3.097922 |
| 3.84539 | 3.097724 |
| 3.86814 | 3.097527 |
| 3.89103 | 3.097331 |
| 3.91405 | 3.097135 |
| 3.93721 | 3.09694 |
| 3.96051 | 3.096745 |
| 3.98394 | 3.096551 |
| 4.00751 | 3.096357 |
| 4.03123 | 3.096164 |
| 4.05508 | 3.095971 |
| 4.07907 | 3.095778 |
| 4.10321 | 3.095586 |
| 4.12749 | 3.095394 |
| 4.15191 | 3.095202 |
| 4.17647 | 3.09501 |
| 4.20119 | 3.094819 |
| 4.22604 | 3.094628 |
| 4.25105 | 3.094437 |
| 4.2762 | 3.094246 |
| 4.3015 | 3.094055 |
| 4.32695 | 3.093864 |
| 4.35256 | 3.093674 |
| 4.37831 | 3.093483 |
| 4.40422 | 3.093292 |
| 4.43028 | 3.093101 |
| 4.45649 | 3.09291 |
| 4.48286 | 3.092719 |
| 4.50938 | 3.092528 |
| 4.53606 | 3.092337 |
| 4.5629 | 3.092145 |
| 4.5899 | 3.091953 |
| 4.61706 | 3.091761 |
| 4.64438 | 3.091569 |
| 4.67186 | 3.091376 |
| 4.6995 | 3.091183 |
| 4.72731 | 3.090989 |
| 4.75528 | 3.090795 |
| 4.78341 | 3.090601 |
| 4.81172 | 3.090406 |
| 4.84019 | 3.090211 |
| 4.86883 | 3.090015 |
| 4.89763 | 3.089818 |
| 4.92661 | 3.089621 |
| 4.95576 | 3.089423 |
| 4.98509 | 3.089225 |
| 5.01458 | 3.089026 |
| 5.04425 | 3.088826 |
| 5.0741 | 3.088625 |
| 5.10412 | 3.088424 |
| 5.13432 | 3.088222 |
| 5.1647 | 3.088018 |
| 5.19526 | 3.087814 |
| 5.226 | 3.087609 |
| 5.25692 | 3.087404 |
| 5.28803 | 3.087197 |
| 5.31931 | 3.086989 |
| 5.35079 | 3.08678 |
| 5.38245 | 3.08657 |
| 5.4143 | 3.086359 |
| 5.44633 | 3.086146 |
| 5.47856 | 3.085933 |
| 5.51097 | 3.085718 |
| 5.54358 | 3.085502 |
| 5.57638 | 3.085285 |
| 5.60938 | 3.085066 |
| 5.64257 | 3.084846 |
| 5.67595 | 3.084625 |
| 5.70954 | 3.084402 |
| 5.74332 | 3.084178 |
| 5.7773 | 3.083952 |
| 5.81149 | 3.083725 |
| 5.84587 | 3.083496 |
| 5.88046 | 3.083265 |
| 5.91525 | 3.083033 |
| 5.95025 | 3.082799 |
| 5.98546 | 3.082563 |
| 6.02088 | 3.082326 |
| 6.0565 | 3.082087 |
| 6.09234 | 3.081846 |
| 6.12838 | 3.081603 |
| 6.16465 | 3.081358 |
| 6.20112 | 3.081111 |
| 6.23781 | 3.080862 |
| 6.27472 | 3.080611 |
| 6.31185 | 3.080358 |
| 6.34919 | 3.080103 |
| 6.38676 | 3.079845 |
| 6.42455 | 3.079586 |
| 6.46256 | 3.079324 |
| 6.5008 | 3.079059 |
| 6.53927 | 3.078793 |
| 6.57796 | 3.078524 |
| 6.61688 | 3.078252 |
| 6.65603 | 3.077978 |
| 6.69541 | 3.077702 |
| 6.73503 | 3.077422 |
| 6.77488 | 3.077141 |
| 6.81497 | 3.076856 |
| 6.85529 | 3.076569 |
| 6.89585 | 3.076279 |
| 6.93665 | 3.075986 |
| 6.9777 | 3.07569 |
| 7.01898 | 3.075391 |
| 7.06051 | 3.075089 |
| 7.10229 | 3.074784 |
| 7.14431 | 3.074476 |
| 7.18659 | 3.074165 |
| 7.22911 | 3.073851 |
| 7.27188 | 3.073533 |
| 7.31491 | 3.073212 |
| 7.35819 | 3.072887 |
| 7.40173 | 3.072559 |
| 7.44552 | 3.072228 |
| 7.48958 | 3.071893 |
| 7.53389 | 3.071554 |
| 7.57847 | 3.071212 |
| 7.62331 | 3.070865 |
| 7.66842 | 3.070515 |
| 7.71379 | 3.070161 |
| 7.75943 | 3.069803 |
| 7.80534 | 3.069441 |
| 7.85153 | 3.069075 |
| 7.89798 | 3.068705 |
| 7.94471 | 3.06833 |
| 7.99172 | 3.067951 |
| 8.03901 | 3.067568 |
| 8.08657 | 3.06718 |
| 8.13442 | 3.066788 |
| 8.18255 | 3.06639 |
| 8.23097 | 3.065989 |
| 8.27967 | 3.065582 |
| 8.32866 | 3.065171 |
| 8.37794 | 3.064754 |
| 8.42751 | 3.064333 |
| 8.47737 | 3.063906 |
| 8.52753 | 3.063475 |
| 8.57799 | 3.063037 |
| 8.62874 | 3.062595 |
| 8.6798 | 3.062147 |
| 8.73116 | 3.061693 |
| 8.78282 | 3.061234 |
| 8.83478 | 3.060769 |
| 8.88706 | 3.060298 |
| 8.93964 | 3.059821 |
| 8.99254 | 3.059339 |
| 9.04575 | 3.058849 |
| 9.09927 | 3.058354 |
| 9.15311 | 3.057852 |
| 9.20727 | 3.057344 |
| 9.26174 | 3.056829 |
| 9.31654 | 3.056308 |
| 9.37167 | 3.055779 |
| 9.42712 | 3.055244 |
| 9.4829 | 3.054701 |
| 9.53901 | 3.054152 |
| 9.59545 | 3.053595 |
| 9.65222 | 3.05303 |
| 9.70934 | 3.052458 |
| 9.76678 | 3.051879 |
| 9.82457 | 3.051291 |
| 9.8827 | 3.050696 |
| 9.94118 | 3.050092 |
| 10 | 3.04948 |
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