Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 3.25089
Extinction coefficient k: 0

Permittivity ε₁: 10.5683
Permittivity ε₂: 0

Absorption coefficient α: 0 cm⁻¹
Penetration depth δ = λ/(2πk): — nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -0.449079 µm⁻¹

Group index n_g: 3.67168
Group velocity dispersion: 2559.29 fs²/mm

Dispersion parameter D: -5490.86 ps/(nm·km)
Photon energy: 1.3232 eV

ε = (n + ik)², α = 4πk/λ, n_g = 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

# GaP-InP (Gallium indium phosphide, GaInP): Kaneko and Kishino 1994: n 0.650–1.35 µm
gap_inp = ls.fetch_refractiveindex("other", "GaP-InP", "Kaneko", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(gap_inp.range_nm)  # (650, 1350) nm
eps = gap_inp.eps([937])  # 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_e5bf1431c1de/lightsmith"
gap_inp = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(gap_inp.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (gap-inp/kaneko-kishino-1994).

# ... load gap_inp as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=gap_inp)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=650, 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"]).

import json, urllib.request
import lightsmith as ls

url = "https://materials.lightsmith.dev/v1/datasets/ds_e5bf1431c1de/lightsmith?model=drude_lorentz"
gap_inp_dl = ls.DrudeLorentz.model_validate(json.load(urllib.request.urlopen(url)))

A dispersive Drude–Lorentz model for time-domain solvers.

Materials guide Open a sphere of it in Studio Quick start Ask the community

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 µm

n^{2} - 1 = \frac{8.255228 λ^{2}}{λ^{2} - {0.315851}^{2}} + \frac{0.151417 λ^{2}}{λ^{2} - {0.596868}^{2}}

Valid from 0.65 to 1.35 µm.

Coefficients as stored

C_i	Value
C1	0.0
C2	8.255228
C3	0.315851
C4	0.151417
C5	0.596868

Comments and conditions

Averaged data for 580 nm and 851 nm GaInP films on a GaAs substrate.

Conditions

substrate: GaAs

References

Y. Kaneko and K. Kishino. Refractive indices measurement of (GaInP)_m/(AlInP)_m quasi‐quaternaries and GaInP/AlInP multiple quantum wells. J. Appl. Phys. 76, 1809-1818 (1994) (Digitization of graphical data and Sellmeier fit: Pedro Victor Sansoldo, University of Adelaide, Australia) [Calculation script (Python)]

doi:10.1063/1.357699 Refractive indices measurement of (GaInP)m/(AlInP)n quasi-quaternaries and GaInP/AlInP multiple quantum wells, Journal of Applied Physics (1994)

Cite

Yawara Kaneko and Katsumi Kishino. Refractive indices measurement of (GaInP)m/(AlInP)n quasi-quaternaries and GaInP/AlInP multiple quantum wells. Journal of Applied Physics, 76, 1809-1818 (1994), doi:10.1063/1.357699; 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

GaP-InP (Gallium indium phosphide, GaInP), Kaneko and Kishino 1994: n 0.650–1.35 µm: n and k versus wavelength
λ (µm)	n
0.65	3.573887
0.651192	3.569572
0.652386	3.565369
0.653582	3.561273
0.65478	3.557278
0.655981	3.553378
0.657183	3.549569
0.658388	3.545846
0.659595	3.542205
0.660805	3.538641
0.662016	3.535152
0.66323	3.531733
0.664446	3.528382
0.665664	3.525096
0.666885	3.521871
0.668108	3.518706
0.669333	3.515598
0.67056	3.512544
0.671789	3.509542
0.673021	3.50659
0.674255	3.503687
0.675491	3.500831
0.67673	3.498019
0.67797	3.495251
0.679214	3.492524
0.680459	3.489838
0.681706	3.48719
0.682956	3.48458
0.684209	3.482007
0.685463	3.479468
0.68672	3.476964
0.687979	3.474493
0.68924	3.472054
0.690504	3.469646
0.69177	3.467268
0.693038	3.464919
0.694309	3.462599
0.695582	3.460307
0.696857	3.458041
0.698135	3.455802
0.699415	3.453589
0.700697	3.4514
0.701982	3.449235
0.703269	3.447094
0.704559	3.444976
0.70585	3.442881
0.707145	3.440807
0.708441	3.438755
0.70974	3.436724
0.711041	3.434713
0.712345	3.432723
0.713651	3.430751
0.714959	3.428799
0.71627	3.426866
0.717584	3.424951
0.718899	3.423054
0.720217	3.421175
0.721538	3.419312
0.722861	3.417467
0.724186	3.415638
0.725514	3.413826
0.726844	3.412029
0.728177	3.410248
0.729512	3.408482
0.730849	3.406732
0.732189	3.404996
0.733532	3.403275
0.734877	3.401568
0.736224	3.399875
0.737574	3.398196
0.738926	3.39653
0.740281	3.394878
0.741638	3.393238
0.742998	3.391612
0.74436	3.389998
0.745725	3.388397
0.747093	3.386809
0.748462	3.385232
0.749835	3.383667
0.751209	3.382114
0.752587	3.380573
0.753967	3.379043
0.755349	3.377524
0.756734	3.376016
0.758121	3.374519
0.759511	3.373033
0.760904	3.371558
0.762299	3.370093
0.763697	3.368638
0.765097	3.367194
0.7665	3.36576
0.767905	3.364335
0.769313	3.36292
0.770723	3.361516
0.772137	3.36012
0.773552	3.358734
0.774971	3.357358
0.776391	3.35599
0.777815	3.354632
0.779241	3.353282
0.78067	3.351942
0.782101	3.35061
0.783535	3.349287
0.784972	3.347972
0.786411	3.346666
0.787853	3.345369
0.789297	3.344079
0.790744	3.342798
0.792194	3.341525
0.793647	3.34026
0.795102	3.339003
0.79656	3.337753
0.79802	3.336511
0.799483	3.335278
0.800949	3.334051
0.802418	3.332832
0.803889	3.331621
0.805363	3.330417
0.806839	3.32922
0.808319	3.32803
0.809801	3.326848
0.811285	3.325672
0.812773	3.324504
0.814263	3.323342
0.815756	3.322187
0.817252	3.321039
0.81875	3.319898
0.820251	3.318764
0.821755	3.317636
0.823262	3.316514
0.824771	3.315399
0.826284	3.314291
0.827798	3.313189
0.829316	3.312093
0.830837	3.311003
0.83236	3.30992
0.833886	3.308842
0.835415	3.307771
0.836947	3.306706
0.838481	3.305647
0.840019	3.304593
0.841559	3.303546
0.843102	3.302504
0.844648	3.301468
0.846196	3.300438
0.847748	3.299414
0.849302	3.298395
0.850859	3.297381
0.852419	3.296374
0.853982	3.295371
0.855548	3.294374
0.857117	3.293383
0.858688	3.292397
0.860262	3.291416
0.86184	3.29044
0.86342	3.28947
0.865003	3.288505
0.866589	3.287545
0.868178	3.28659
0.86977	3.28564
0.871364	3.284695
0.872962	3.283755
0.874562	3.28282
0.876166	3.28189
0.877772	3.280965
0.879382	3.280045
0.880994	3.279129
0.882609	3.278219
0.884228	3.277313
0.885849	3.276411
0.887473	3.275515
0.8891	3.274622
0.89073	3.273735
0.892363	3.272852
0.894	3.271974
0.895639	3.2711
0.897281	3.27023
0.898926	3.269365
0.900574	3.268505
0.902225	3.267648
0.903879	3.266796
0.905537	3.265949
0.907197	3.265105
0.90886	3.264266
0.910527	3.263431
0.912196	3.2626
0.913869	3.261774
0.915544	3.260951
0.917223	3.260133
0.918905	3.259318
0.920589	3.258508
0.922277	3.257702
0.923968	3.2569
0.925662	3.256101
0.927359	3.255307
0.92906	3.254516
0.930763	3.25373
0.93247	3.252947
0.934179	3.252168
0.935892	3.251393
0.937608	3.250622
0.939327	3.249854
0.941049	3.24909
0.942775	3.24833
0.944503	3.247573
0.946235	3.246821
0.94797	3.246071
0.949708	3.245326
0.951449	3.244584
0.953194	3.243846
0.954941	3.243111
0.956692	3.242379
0.958446	3.241651
0.960204	3.240927
0.961964	3.240206
0.963728	3.239489
0.965495	3.238775
0.967265	3.238064
0.969039	3.237357
0.970815	3.236653
0.972595	3.235952
0.974378	3.235255
0.976165	3.234561
0.977955	3.23387
0.979748	3.233182
0.981544	3.232498
0.983344	3.231817
0.985147	3.231139
0.986953	3.230465
0.988763	3.229793
0.990575	3.229125
0.992392	3.228459
0.994211	3.227797
0.996034	3.227138
0.99786	3.226482
0.99969	3.225829
1.00152	3.225179
1.00336	3.224532
1.0052	3.223888
1.00704	3.223247
1.00889	3.222609
1.01074	3.221974
1.01259	3.221342
1.01445	3.220712
1.01631	3.220086
1.01817	3.219462
1.02004	3.218842
1.02191	3.218224
1.02378	3.217609
1.02566	3.216996
1.02754	3.216387
1.02942	3.21578
1.03131	3.215176
1.0332	3.214575
1.0351	3.213977
1.03699	3.213381
1.03889	3.212788
1.0408	3.212198
1.04271	3.21161
1.04462	3.211025
1.04653	3.210443
1.04845	3.209863
1.05038	3.209286
1.0523	3.208711
1.05423	3.208139
1.05616	3.20757
1.0581	3.207003
1.06004	3.206439
1.06198	3.205877
1.06393	3.205318
1.06588	3.204761
1.06784	3.204206
1.06979	3.203655
1.07176	3.203105
1.07372	3.202558
1.07569	3.202014
1.07766	3.201472
1.07964	3.200932
1.08162	3.200395
1.0836	3.19986
1.08559	3.199327
1.08758	3.198797
1.08957	3.198269
1.09157	3.197744
1.09357	3.19722
1.09558	3.196699
1.09758	3.196181
1.0996	3.195664
1.10161	3.19515
1.10363	3.194639
1.10566	3.194129
1.10768	3.193622
1.10971	3.193117
1.11175	3.192614
1.11379	3.192113
1.11583	3.191614
1.11787	3.191118
1.11992	3.190624
1.12198	3.190132
1.12403	3.189642
1.1261	3.189154
1.12816	3.188668
1.13023	3.188185
1.1323	3.187703
1.13438	3.187224
1.13646	3.186747
1.13854	3.186272
1.14063	3.185798
1.14272	3.185327
1.14481	3.184858
1.14691	3.184391
1.14902	3.183926
1.15112	3.183463
1.15323	3.183002
1.15535	3.182543
1.15747	3.182086
1.15959	3.181631
1.16171	3.181178
1.16384	3.180726
1.16598	3.180277
1.16812	3.17983
1.17026	3.179384
1.1724	3.178941
1.17455	3.178499
1.17671	3.178059
1.17886	3.177621
1.18103	3.177185
1.18319	3.176751
1.18536	3.176319
1.18753	3.175888
1.18971	3.17546
1.19189	3.175033
1.19408	3.174608
1.19627	3.174185
1.19846	3.173763
1.20066	3.173344
1.20286	3.172926
1.20506	3.17251
1.20727	3.172095
1.20949	3.171683
1.21171	3.171272
1.21393	3.170863
1.21615	3.170455
1.21838	3.17005
1.22062	3.169646
1.22285	3.169244
1.2251	3.168843
1.22734	3.168444
1.22959	3.168047
1.23185	3.167651
1.23411	3.167258
1.23637	3.166865
1.23864	3.166475
1.24091	3.166086
1.24318	3.165699
1.24546	3.165313
1.24774	3.164929
1.25003	3.164547
1.25232	3.164166
1.25462	3.163786
1.25692	3.163409
1.25922	3.163033
1.26153	3.162658
1.26385	3.162285
1.26616	3.161914
1.26849	3.161544
1.27081	3.161176
1.27314	3.160809
1.27548	3.160444
1.27781	3.16008
1.28016	3.159718
1.2825	3.159357
1.28486	3.158998
1.28721	3.15864
1.28957	3.158284
1.29194	3.157929
1.2943	3.157575
1.29668	3.157224
1.29905	3.156873
1.30144	3.156524
1.30382	3.156177
1.30621	3.155831
1.30861	3.155486
1.31101	3.155143
1.31341	3.154801
1.31582	3.15446
1.31823	3.154121
1.32065	3.153784
1.32307	3.153448
1.3255	3.153113
1.32793	3.152779
1.33036	3.152447
1.3328	3.152116
1.33524	3.151787
1.33769	3.151459
1.34014	3.151132
1.3426	3.150807
1.34506	3.150483
1.34753	3.15016
1.35	3.149839

Optical transmission calculator

Free-standing sample in vacuum, normal incidence

Transmittance T: —
Reflectance R: —

Fresnel reflection calculator

R_p: —
R_s: —
R = (R_p+R_s)/2: —
Phase φ_p: —
Phase φ_s: —
Brewster angle θ_B: —
Critical angle θ_C: —

Plot