Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.45877
Extinction coefficient k: 2.39807e-08

Permittivity ε₁: 2.12802
Permittivity ε₂: 6.99649e-08

Absorption coefficient α: 0.0051285 cm⁻¹
Penetration depth δ = λ/(2πk): 3.89977e+09 nm

Abbe number V_d: 56.716
Chromatic dispersion dn/dλ: -0.0414751 µm⁻¹

Group index n_g: 1.48314
Group velocity dispersion: 78.7006 fs²/mm

Dispersion parameter D: -429.353 ps/(nm·km)
Photon energy: 2.11001 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

# Fused silica matching liquid 50350 (Cargille): Fused silica matching liquid 50350
mat = ls.fetch_refractiveindex("specs", "Cargille", "Cargille-50350", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mat.range_nm)  # (225, 1550) nm
eps = mat.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_33db4d321c6c/lightsmith"
mat = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(mat.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (cargille-cargille-50350/cargille).

# ... load mat as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=mat)],
    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"]).

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

Cauchy (formula 5), λ in µm

n = 1.446902 + 0.00398963 λ^{- 2.0} + 3.757747 \times 10^{-5} λ^{- 4.0}

Valid from 0.225 to 1.55 µm.

Coefficients as stored

C_i	Value
C1	1.446902
C2	0.00398963
C3	-2.0
C4	3.757747e-05
C5	-4.0

Comments and conditions

25 °C.

Conditions

temperature: 298 K

Properties

density: value: 831, temperature: 298
thermal expansion: value: 0.0008, temperature: 298

References

Fused Silica Matching Liquid Code 50350 Data Sheet 30-NOV-17 (obtained from https://www.cargille.com)

Cite

Fused Silica Matching Liquid Code 50350 Data Sheet 30-NOV-17 (obtained from https://www.cargille.com); Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 413 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

Fused silica matching liquid 50350 (Cargille), Fused silica matching liquid 50350: n and k versus wavelength
λ (µm)	n	k
0.225	1.540372	1.314000e-05
0.226091	1.539332	1.258163e-05
0.227187	1.538305	1.202056e-05
0.228289	1.537291	1.145676e-05
0.229396	1.536289	1.089024e-05
0.230508	1.535299	1.032096e-05
0.231625	1.534321	9.748925e-06
0.232748	1.533355	9.174116e-06
0.233877	1.5324	8.596520e-06
0.235011	1.531457	8.016123e-06
0.23615	1.530526	7.432913e-06
0.237295	1.529606	6.846874e-06
0.238446	1.528696	6.257995e-06
0.239602	1.527798	5.666260e-06
0.240764	1.526911	5.071655e-06
0.241931	1.526034	4.474168e-06
0.243104	1.525167	3.873784e-06
0.244283	1.524311	3.270489e-06
0.245467	1.523466	2.664269e-06
0.246658	1.52263	2.055110e-06
0.247853	1.521804	1.442996e-06
0.248	1.521704	1.368000e-06
0.249055	1.520988	1.423063e-06
0.250263	1.520182	1.486076e-06
0.251476	1.519385	1.549394e-06
0.252695	1.518597	1.613020e-06
0.253921	1.517819	1.676954e-06
0.255152	1.51705	1.741198e-06
0.256389	1.516291	1.805753e-06
0.257632	1.51554	1.870621e-06
0.258881	1.514798	1.935804e-06
0.260136	1.514064	2.001303e-06
0.261398	1.513339	2.067120e-06
0.262665	1.512623	2.133256e-06
0.263939	1.511915	2.199712e-06
0.265218	1.511215	2.266491e-06
0.266504	1.510524	2.333593e-06
0.267797	1.50984	2.401021e-06
0.269095	1.509165	2.468775e-06
0.27	1.5087	2.516000e-06
0.2704	1.508497	2.493955e-06
0.271711	1.507837	2.421650e-06
0.273028	1.507185	2.348995e-06
0.274352	1.50654	2.275987e-06
0.275682	1.505902	2.202626e-06
0.277019	1.505272	2.128909e-06
0.278362	1.50465	2.054834e-06
0.279712	1.504034	1.980400e-06
0.281068	1.503425	1.905605e-06
0.282431	1.502824	1.830448e-06
0.2838	1.502229	1.754926e-06
0.285176	1.501641	1.679038e-06
0.286559	1.50106	1.602782e-06
0.287948	1.500486	1.526157e-06
0.289344	1.499918	1.449160e-06
0.290747	1.499356	1.371789e-06
0.292157	1.498801	1.294043e-06
0.293574	1.498252	1.215921e-06
0.294997	1.49771	1.137420e-06
0.296427	1.497173	1.058538e-06
0.297864	1.496643	9.792731e-07
0.299309	1.496118	8.996243e-07
0.30076	1.4956	8.195893e-07
0.302218	1.495087	7.391663e-07
0.303684	1.494581	6.583534e-07
0.305156	1.494079	5.771486e-07
0.306636	1.493584	4.955501e-07
0.308	1.493134	4.203000e-07
0.308122	1.493094	4.186983e-07
0.309616	1.49261	3.991300e-07
0.311117	1.492131	3.794669e-07
0.312626	1.491657	3.597084e-07
0.314142	1.491188	3.398541e-07
0.315665	1.490725	3.199036e-07
0.317195	1.490267	2.998563e-07
0.318733	1.489814	2.797119e-07
0.320279	1.489367	2.594697e-07
0.321832	1.488924	2.391294e-07
0.323392	1.488486	2.186905e-07
0.32496	1.488053	1.981525e-07
0.326536	1.487624	1.775149e-07
0.328119	1.487201	1.567773e-07
0.32971	1.486782	1.359391e-07
0.331308	1.486368	1.149998e-07
0.332915	1.485958	9.395907e-08
0.334529	1.485553	7.281629e-08
0.336151	1.485152	5.157099e-08
0.337	1.484945	4.045000e-08
0.337781	1.484756	3.990984e-08
0.339419	1.484364	3.877687e-08
0.341064	1.483976	3.763840e-08
0.342718	1.483593	3.649440e-08
0.34438	1.483214	3.534487e-08
0.346049	1.482839	3.418975e-08
0.347727	1.482468	3.302904e-08
0.349413	1.482101	3.186270e-08
0.351107	1.481738	3.069071e-08
0.35281	1.481379	2.951303e-08
0.35452	1.481024	2.832964e-08
0.356239	1.480673	2.714052e-08
0.357967	1.480325	2.594563e-08
0.359702	1.479982	2.474494e-08
0.361446	1.479642	2.353844e-08
0.363199	1.479306	2.232608e-08
0.36496	1.478973	2.110785e-08
0.365	1.478966	2.108000e-08
0.366729	1.478644	2.106229e-08
0.368507	1.478319	2.104409e-08
0.370294	1.477997	2.102579e-08
0.37209	1.477679	2.100741e-08
0.373894	1.477364	2.098893e-08
0.375707	1.477052	2.097037e-08
0.377528	1.476744	2.095172e-08
0.379359	1.476439	2.093298e-08
0.381198	1.476137	2.091414e-08
0.383046	1.475839	2.089522e-08
0.384903	1.475544	2.087620e-08
0.38677	1.475252	2.085709e-08
0.388645	1.474963	2.083789e-08
0.390529	1.474677	2.081859e-08
0.392423	1.474394	2.079920e-08
0.394326	1.474114	2.077972e-08
0.396238	1.473837	2.076014e-08
0.398159	1.473564	2.074047e-08
0.400089	1.473293	2.072071e-08
0.402029	1.473025	2.070084e-08
0.403978	1.472759	2.068088e-08
0.405937	1.472497	2.066083e-08
0.407905	1.472237	2.064067e-08
0.409883	1.471981	2.062042e-08
0.41187	1.471726	2.060007e-08
0.413867	1.471475	2.057962e-08
0.415874	1.471226	2.055908e-08
0.41789	1.47098	2.053843e-08
0.419917	1.470737	2.051768e-08
0.421953	1.470496	2.049684e-08
0.423999	1.470257	2.047589e-08
0.426054	1.470021	2.045484e-08
0.42812	1.469788	2.043368e-08
0.430196	1.469557	2.041243e-08
0.432282	1.469328	2.039107e-08
0.434378	1.469102	2.036961e-08
0.436484	1.468878	2.034804e-08
0.4386	1.468657	2.032637e-08
0.440727	1.468438	2.030460e-08
0.442864	1.468221	2.028272e-08
0.445011	1.468006	2.026073e-08
0.447168	1.467794	2.023864e-08
0.449337	1.467584	2.021644e-08
0.451515	1.467376	2.019413e-08
0.453704	1.46717	2.017171e-08
0.455904	1.466967	2.014919e-08
0.458115	1.466765	2.012655e-08
0.460336	1.466566	2.010381e-08
0.462568	1.466369	2.008096e-08
0.464811	1.466173	2.005799e-08
0.467064	1.46598	2.003491e-08
0.469329	1.465789	2.001173e-08
0.471605	1.4656	1.998842e-08
0.473891	1.465413	1.996501e-08
0.476189	1.465227	1.994148e-08
0.478498	1.465044	1.991784e-08
0.480818	1.464862	1.989409e-08
0.483149	1.464683	1.987022e-08
0.485492	1.464505	1.984623e-08
0.4861	1.464459	1.984000e-08
0.487846	1.464329	1.991128e-08
0.490211	1.464155	2.000787e-08
0.492588	1.463983	2.010492e-08
0.494976	1.463812	2.020244e-08
0.497376	1.463643	2.030044e-08
0.499788	1.463476	2.039891e-08
0.502211	1.463311	2.049786e-08
0.504646	1.463147	2.059729e-08
0.507093	1.462986	2.069721e-08
0.509551	1.462825	2.079760e-08
0.512022	1.462667	2.089848e-08
0.514505	1.46251	2.099986e-08
0.516999	1.462354	2.110172e-08
0.519506	1.462201	2.120408e-08
0.522025	1.462048	2.130693e-08
0.524556	1.461898	2.141028e-08
0.527099	1.461749	2.151414e-08
0.529655	1.461601	2.161849e-08
0.532223	1.461455	2.172336e-08
0.534804	1.46131	2.182873e-08
0.537397	1.461167	2.193461e-08
0.540002	1.461026	2.204101e-08
0.54262	1.460885	2.214792e-08
0.545251	1.460747	2.225535e-08
0.5461	1.460702	2.229000e-08
0.547895	1.460609	2.236313e-08
0.550552	1.460473	2.247136e-08
0.553221	1.460339	2.258012e-08
0.555903	1.460206	2.268940e-08
0.558599	1.460074	2.279921e-08
0.561307	1.459943	2.290955e-08
0.564029	1.459814	2.302043e-08
0.566763	1.459686	2.313184e-08
0.569511	1.45956	2.324380e-08
0.572273	1.459435	2.335630e-08
0.575047	1.459311	2.346934e-08
0.577836	1.459188	2.358293e-08
0.580637	1.459066	2.369707e-08
0.583453	1.458946	2.381177e-08
0.586281	1.458827	2.392702e-08
0.589124	1.458709	2.404283e-08
0.5893	1.458702	2.405000e-08
0.591981	1.458593	2.415969e-08
0.594851	1.458477	2.427714e-08
0.597735	1.458363	2.439516e-08
0.600633	1.45825	2.451375e-08
0.603545	1.458138	2.463291e-08
0.606472	1.458027	2.475266e-08
0.609412	1.457917	2.487298e-08
0.612367	1.457808	2.499389e-08
0.615336	1.457701	2.511539e-08
0.61832	1.457594	2.523747e-08
0.621318	1.457489	2.536015e-08
0.62433	1.457385	2.548342e-08
0.627357	1.457281	2.560728e-08
0.630399	1.457179	2.573175e-08
0.6328	1.4571	2.583000e-08
0.633456	1.457078	2.525585e-08
0.636527	1.456978	2.256599e-08
0.639613	1.456879	1.986309e-08
0.642714	1.45678	1.714709e-08
0.645831	1.456683	1.441791e-08
0.648962	1.456587	1.167550e-08
0.652109	1.456492	8.919797e-09
0.65527	1.456397	6.150731e-09
0.6563	1.456367	5.249000e-09
0.658448	1.456304	5.506666e-09
0.66164	1.456212	5.889718e-09
0.664848	1.45612	6.274628e-09
0.668072	1.45603	6.661404e-09
0.671311	1.45594	7.050055e-09
0.674566	1.455851	7.440591e-09
0.677836	1.455763	7.833020e-09
0.681123	1.455676	8.227352e-09
0.684425	1.45559	8.623596e-09
0.687744	1.455505	9.021761e-09
0.691079	1.45542	9.421856e-09
0.694429	1.455337	9.823892e-09
0.697796	1.455254	1.022788e-08
0.70118	1.455172	1.063382e-08
0.704579	1.455091	1.104173e-08
0.707996	1.455011	1.145162e-08
0.711428	1.454931	1.186350e-08
0.714878	1.454853	1.227737e-08
0.718344	1.454775	1.269325e-08
0.721827	1.454698	1.311115e-08
0.725327	1.454621	1.353107e-08
0.728843	1.454546	1.395303e-08
0.732377	1.454471	1.437704e-08
0.735928	1.454397	1.480310e-08
0.739497	1.454323	1.523123e-08
0.743082	1.454251	1.566143e-08
0.746685	1.454179	1.609372e-08
0.750305	1.454107	1.652810e-08
0.753943	1.454037	1.696459e-08
0.757599	1.453967	1.740320e-08
0.761272	1.453898	1.784393e-08
0.764963	1.45383	1.828680e-08
0.768672	1.453762	1.873182e-08
0.772399	1.453695	1.917900e-08
0.776144	1.453628	1.962834e-08
0.779907	1.453563	2.007986e-08
0.783689	1.453498	2.053358e-08
0.787489	1.453433	2.098949e-08
0.791307	1.453369	2.144761e-08
0.795144	1.453306	2.190795e-08
0.798999	1.453244	2.237053e-08
0.802873	1.453182	2.283535e-08
0.806766	1.45312	2.330242e-08
0.810677	1.45306	2.377176e-08
0.814608	1.453	2.424337e-08
0.818558	1.45294	2.471727e-08
0.822526	1.452881	2.519346e-08
0.826515	1.452823	2.567197e-08
0.830522	1.452765	2.615279e-08
0.834549	1.452708	2.663595e-08
0.838595	1.452651	2.712145e-08
0.84	1.452632	2.729000e-08
0.842661	1.452595	3.260546e-08
0.846747	1.45254	4.076617e-08
0.850852	1.452485	4.896644e-08
0.854978	1.45243	5.720647e-08
0.859123	1.452376	6.548645e-08
0.863289	1.452323	7.380658e-08
0.867475	1.45227	8.216705e-08
0.871681	1.452218	9.056806e-08
0.875907	1.452166	9.900980e-08
0.880154	1.452115	1.074925e-07
0.884421	1.452064	1.160163e-07
0.88871	1.452014	1.245814e-07
0.893019	1.451964	1.331880e-07
0.897348	1.451915	1.418364e-07
0.901699	1.451866	1.505268e-07
0.906071	1.451817	1.592592e-07
0.910464	1.45177	1.680340e-07
0.914879	1.451722	1.768513e-07
0.919315	1.451675	1.857114e-07
0.923772	1.451629	1.946145e-07
0.928251	1.451583	2.035607e-07
0.932752	1.451537	2.125503e-07
0.937274	1.451492	2.215835e-07
0.941819	1.451448	2.306604e-07
0.946385	1.451403	2.397814e-07
0.950974	1.45136	2.489467e-07
0.955585	1.451316	2.581563e-07
0.960218	1.451273	2.674106e-07
0.964874	1.451231	2.767098e-07
0.969552	1.451189	2.860540e-07
0.974253	1.451147	2.954436e-07
0.978977	1.451106	3.048787e-07
0.983723	1.451065	3.143596e-07
0.988493	1.451024	3.238864e-07
0.993286	1.450984	3.334594e-07
0.998102	1.450945	3.430788e-07
1.00294	1.450905	3.527448e-07
1.0078	1.450867	3.624578e-07
1.01269	1.450828	3.722178e-07
1.0176	1.45079	3.820251e-07
1.02253	1.450752	3.918800e-07
1.02749	1.450715	4.017827e-07
1.03247	1.450678	4.117334e-07
1.03748	1.450641	4.217323e-07
1.04251	1.450605	4.317797e-07
1.04757	1.450569	4.418759e-07
1.05264	1.450533	4.520210e-07
1.05775	1.450498	4.622152e-07
1.06288	1.450463	4.724589e-07
1.0648	1.45045	4.763000e-07
1.06803	1.450428	4.873523e-07
1.07321	1.450394	5.050695e-07
1.07841	1.45036	5.228726e-07
1.08364	1.450327	5.407620e-07
1.0889	1.450294	5.587382e-07
1.09417	1.450261	5.768015e-07
1.09948	1.450228	5.949524e-07
1.10481	1.450196	6.131913e-07
1.11017	1.450164	6.315187e-07
1.11555	1.450132	6.499349e-07
1.12096	1.450101	6.684404e-07
1.12639	1.45007	6.870356e-07
1.13186	1.450039	7.057210e-07
1.13734	1.450009	7.244969e-07
1.14286	1.449979	7.433640e-07
1.1484	1.449949	7.623225e-07
1.15397	1.449919	7.813729e-07
1.15956	1.44989	8.005157e-07
1.16518	1.449861	8.197513e-07
1.17083	1.449832	8.390801e-07
1.17651	1.449804	8.585027e-07
1.18222	1.449776	8.780195e-07
1.18795	1.449748	8.976309e-07
1.19371	1.44972	9.173373e-07
1.1995	1.449693	9.371394e-07
1.20531	1.449666	9.570374e-07
1.21116	1.449639	9.770319e-07
1.21703	1.449613	9.971233e-07
1.22293	1.449586	1.017312e-06
1.22886	1.44956	1.037599e-06
1.23482	1.449535	1.057984e-06
1.2408	1.449509	1.078468e-06
1.24682	1.449484	1.099051e-06
1.25286	1.449459	1.119734e-06
1.25894	1.449434	1.140518e-06
1.26504	1.44941	1.161402e-06
1.27118	1.449385	1.182387e-06
1.27734	1.449361	1.203474e-06
1.28353	1.449338	1.224664e-06
1.28976	1.449314	1.245956e-06
1.29601	1.449291	1.267351e-06
1.3	1.449276	1.281000e-06
1.30229	1.449267	1.293244e-06
1.30861	1.449245	1.326937e-06
1.31495	1.449222	1.360793e-06
1.32133	1.449199	1.394814e-06
1.32774	1.449177	1.428999e-06
1.33417	1.449155	1.463350e-06
1.34064	1.449133	1.497868e-06
1.34714	1.449112	1.532553e-06
1.35367	1.44909	1.567407e-06
1.36024	1.449069	1.602429e-06
1.36683	1.449048	1.637621e-06
1.37346	1.449028	1.672984e-06
1.38012	1.449007	1.708518e-06
1.38681	1.448987	1.744224e-06
1.39354	1.448966	1.780104e-06
1.40029	1.448946	1.816158e-06
1.40708	1.448927	1.852386e-06
1.4139	1.448907	1.888790e-06
1.42076	1.448888	1.925371e-06
1.42765	1.448868	1.962129e-06
1.43457	1.448849	1.999065e-06
1.44153	1.448831	2.036180e-06
1.44851	1.448812	2.073475e-06
1.45554	1.448794	2.110951e-06
1.4626	1.448775	2.148609e-06
1.46969	1.448757	2.186449e-06
1.47681	1.448739	2.224473e-06
1.48397	1.448721	2.262681e-06
1.49117	1.448704	2.301075e-06
1.4984	1.448686	2.339654e-06
1.50566	1.448669	2.378421e-06
1.51296	1.448652	2.417376e-06
1.5203	1.448635	2.456519e-06
1.52767	1.448618	2.495852e-06
1.53508	1.448602	2.535376e-06
1.54252	1.448585	2.575092e-06
1.55	1.448569	2.615000e-06

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