Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 2.80678
Extinction coefficient k: 1.24429e-06

Permittivity ε₁: 7.87804
Permittivity ε₂: 6.98492e-06

Absorption coefficient α: 0.0451914 cm⁻¹
Penetration depth δ = λ/(2πk): 4.42562e+08 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -0.0075037 µm⁻¹

Group index n_g: 2.83275
Group velocity dispersion: 429.397 fs²/mm

Dispersion parameter D: -67.5627 ps/(nm·km)
Photon energy: 0.358336 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

# IG 3 (VITRON): IG 3
vitron_ig3 = ls.fetch_refractiveindex("specs", "VITRON-infrared", "IG3", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(vitron_ig3.range_nm)  # (1000, 12000) nm
eps = vitron_ig3.eps([3460])  # 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_885558e59bdf/lightsmith"
vitron_ig3 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(vitron_ig3.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (vitron-ig3/vitron).

# ... load vitron_ig3 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=vitron_ig3)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=1000, stop_nm=12000, 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_885558e59bdf/lightsmith?model=drude_lorentz"
vitron_ig3_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 = 3.885429 + \frac{2.934475 λ^{2}}{λ^{2} - {0.508386}^{2}} + \frac{0.573772 λ^{2}}{λ^{2} - {32.406166}^{2}}

Valid from 1.0 to 12.0 µm.

Coefficients as stored

C_i	Value
C1	3.885429
C2	2.934475
C3	0.508386
C4	0.573772
C5	32.406166

Comments and conditions

Room temperature. Refractive index is relative to air at standard conditions; Wavelength in dispersion formula is as measured in air and expressed in micrometers.

References

1) VITRON datasheet IG-3 June 2014
2) Dr. Rolf Henkel (VITRON Spezialwerkstoffe GmbH) - private communications

Cite

VITRON datasheet IG-3 June 2014; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 411 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

IG 3 (VITRON), IG 3: n and k versus wavelength
λ (µm)	n	k
1	2.973573	0.001
1.00625	2.970712	0.000987521
1.01253	2.967907	0.000974964
1.01886	2.965158	0.0009623286
1.02522	2.962463	0.0009496142
1.03163	2.959821	0.0009368204
1.03807	2.957229	0.0009239467
1.04456	2.954687	0.0009109925
1.05108	2.952194	0.0008979575
1.05765	2.949749	0.000884841
1.06426	2.947349	0.0008716425
1.07091	2.944995	0.0008583616
1.0776	2.942685	0.0008449977
1.08433	2.940418	0.0008315504
1.0911	2.938193	0.000818019
1.09792	2.936009	0.0008044031
1.10478	2.933865	0.0007907021
1.11168	2.93176	0.0007769155
1.11863	2.929693	0.0007630429
1.12561	2.927664	0.0007490835
1.13265	2.925671	0.0007350369
1.13972	2.923713	0.0007209026
1.14684	2.921791	0.00070668
1.15401	2.919902	0.0006923685
1.16122	2.918047	0.0006779676
1.16847	2.916224	0.0006634768
1.17577	2.914434	0.0006488954
1.18312	2.912674	0.000634223
1.19051	2.910945	0.0006194588
1.19794	2.909245	0.0006046025
1.20543	2.907575	0.0005896533
1.21296	2.905934	0.0005746107
1.22054	2.90432	0.0005594742
1.22816	2.902734	0.0005442431
1.23583	2.901174	0.0005289168
1.24356	2.899641	0.0005134948
1.25132	2.898133	0.0004979765
1.25914	2.896651	0.0004823612
1.26701	2.895193	0.0004666483
1.27492	2.893759	0.0004508373
1.28289	2.892349	0.0004349275
1.2909	2.890962	0.0004189183
1.29897	2.889598	0.0004028091
1.30708	2.888256	0.0003865993
1.31525	2.886936	0.0003702882
1.32346	2.885638	0.0003538752
1.33173	2.88436	0.0003373596
1.34005	2.883103	0.0003207409
1.34842	2.881866	0.0003040184
1.35685	2.880648	0.0002871914
1.36532	2.879451	0.0002702593
1.37385	2.878272	0.0002532214
1.38244	2.877112	0.000236077
1.39107	2.87597	0.0002188255
1.39976	2.874846	0.0002014663
1.40851	2.873739	0.0001839986
1.41731	2.87265	0.0001664218
1.42616	2.871578	0.0001487352
1.43507	2.870523	0.0001309381
1.44404	2.869484	0.0001130298
1.45306	2.868461	9.500968e-05
1.46214	2.867453	7.687694e-05
1.47127	2.866461	5.863092e-05
1.48046	2.865485	4.027091e-05
1.48971	2.864523	2.179620e-05
1.49902	2.863576	3.206075e-06
1.5	2.863477	1.241900e-06
1.50838	2.862643	1.237850e-06
1.5178	2.861724	1.233297e-06
1.52729	2.860819	1.228715e-06
1.53683	2.859928	1.224105e-06
1.54643	2.85905	1.219465e-06
1.55609	2.858185	1.214797e-06
1.56581	2.857334	1.210100e-06
1.57559	2.856494	1.205373e-06
1.58544	2.855668	1.200617e-06
1.59534	2.854853	1.195831e-06
1.60531	2.854051	1.191015e-06
1.61534	2.85326	1.186169e-06
1.62543	2.852481	1.181293e-06
1.63558	2.851714	1.176386e-06
1.6458	2.850958	1.171449e-06
1.65608	2.850212	1.166481e-06
1.66643	2.849478	1.161482e-06
1.67684	2.848754	1.156451e-06
1.68731	2.848041	1.151390e-06
1.69786	2.847338	1.146296e-06
1.70846	2.846645	1.141171e-06
1.71914	2.845962	1.136014e-06
1.72988	2.845289	1.130824e-06
1.74068	2.844626	1.125602e-06
1.75156	2.843972	1.120348e-06
1.7625	2.843327	1.115060e-06
1.77351	2.842692	1.109740e-06
1.78459	2.842066	1.104386e-06
1.79574	2.841448	1.098999e-06
1.80696	2.840839	1.093578e-06
1.81825	2.840239	1.088124e-06
1.82961	2.839647	1.082635e-06
1.84104	2.839064	1.077112e-06
1.85254	2.838489	1.071554e-06
1.86411	2.837921	1.065962e-06
1.87576	2.837362	1.060335e-06
1.88747	2.836811	1.054673e-06
1.89927	2.836267	1.048975e-06
1.91113	2.83573	1.043242e-06
1.92307	2.835202	1.037473e-06
1.93508	2.83468	1.031668e-06
1.94717	2.834166	1.025826e-06
1.95934	2.833658	1.019948e-06
1.97158	2.833158	1.014034e-06
1.98389	2.832665	1.008082e-06
1.99629	2.832178	1.002093e-06
2	2.832034	1.000300e-06
2.00876	2.831698	1.002860e-06
2.02131	2.831224	1.006527e-06
2.03394	2.830757	1.010216e-06
2.04664	2.830296	1.013929e-06
2.05943	2.829842	1.017665e-06
2.0723	2.829393	1.021425e-06
2.08524	2.828951	1.025208e-06
2.09827	2.828515	1.029014e-06
2.11138	2.828084	1.032844e-06
2.12457	2.82766	1.036699e-06
2.13784	2.827241	1.040577e-06
2.1512	2.826827	1.044479e-06
2.16463	2.826419	1.048406e-06
2.17816	2.826017	1.052358e-06
2.19177	2.825619	1.056334e-06
2.20546	2.825228	1.060335e-06
2.21924	2.824841	1.064361e-06
2.2331	2.824459	1.068412e-06
2.24705	2.824083	1.072488e-06
2.26109	2.823711	1.076590e-06
2.27521	2.823344	1.080718e-06
2.28943	2.822982	1.084871e-06
2.30373	2.822625	1.089050e-06
2.31812	2.822273	1.093256e-06
2.33261	2.821925	1.097487e-06
2.34718	2.821581	1.101745e-06
2.36184	2.821242	1.106030e-06
2.3766	2.820907	1.110341e-06
2.39144	2.820577	1.114680e-06
2.40638	2.820251	1.119045e-06
2.42142	2.819929	1.123438e-06
2.43654	2.819612	1.127858e-06
2.45177	2.819298	1.132306e-06
2.46708	2.818988	1.136781e-06
2.48249	2.818682	1.141285e-06
2.498	2.818381	1.145817e-06
2.51361	2.818083	1.150377e-06
2.52931	2.817788	1.154965e-06
2.54511	2.817498	1.159582e-06
2.56101	2.817211	1.164228e-06
2.57701	2.816928	1.168903e-06
2.59311	2.816648	1.173608e-06
2.60931	2.816372	1.178341e-06
2.62561	2.816099	1.183104e-06
2.64202	2.81583	1.187897e-06
2.65852	2.815564	1.192720e-06
2.67513	2.815301	1.197573e-06
2.69184	2.815041	1.202456e-06
2.70866	2.814785	1.207370e-06
2.72558	2.814532	1.212315e-06
2.74261	2.814282	1.217290e-06
2.75974	2.814035	1.222297e-06
2.77698	2.813791	1.227334e-06
2.79433	2.81355	1.232404e-06
2.81179	2.813312	1.237505e-06
2.82935	2.813077	1.242637e-06
2.84703	2.812844	1.247802e-06
2.86482	2.812615	1.252999e-06
2.88271	2.812388	1.258229e-06
2.90072	2.812163	1.263491e-06
2.91884	2.811942	1.268786e-06
2.93708	2.811723	1.274115e-06
2.95543	2.811507	1.279476e-06
2.97389	2.811293	1.284871e-06
2.99247	2.811082	1.290300e-06
3	2.810997	1.292500e-06
3.01116	2.810873	1.291330e-06
3.02998	2.810667	1.289358e-06
3.04891	2.810463	1.287375e-06
3.06795	2.810261	1.285379e-06
3.08712	2.810062	1.283370e-06
3.10641	2.809865	1.281349e-06
3.12581	2.80967	1.279315e-06
3.14534	2.809478	1.277268e-06
3.16499	2.809288	1.275209e-06
3.18476	2.809099	1.273137e-06
3.20466	2.808913	1.271052e-06
3.22468	2.808729	1.268954e-06
3.24482	2.808548	1.266842e-06
3.2651	2.808368	1.264718e-06
3.28549	2.80819	1.262580e-06
3.30602	2.808014	1.260429e-06
3.32667	2.80784	1.258265e-06
3.34745	2.807668	1.256087e-06
3.36837	2.807497	1.253895e-06
3.38941	2.807329	1.251690e-06
3.41058	2.807162	1.249471e-06
3.43189	2.806998	1.247238e-06
3.45333	2.806835	1.244991e-06
3.47491	2.806673	1.242730e-06
3.49661	2.806513	1.240455e-06
3.51846	2.806355	1.238166e-06
3.54044	2.806199	1.235862e-06
3.56256	2.806044	1.233544e-06
3.58481	2.805891	1.231212e-06
3.60721	2.80574	1.228865e-06
3.62974	2.805589	1.226503e-06
3.65242	2.805441	1.224126e-06
3.67524	2.805294	1.221735e-06
3.6982	2.805148	1.219329e-06
3.7213	2.805004	1.216908e-06
3.74455	2.804861	1.214471e-06
3.76794	2.80472	1.212020e-06
3.79148	2.804579	1.209553e-06
3.81517	2.804441	1.207070e-06
3.839	2.804303	1.204573e-06
3.86299	2.804167	1.202059e-06
3.88712	2.804032	1.199530e-06
3.9114	2.803899	1.196985e-06
3.93584	2.803766	1.194424e-06
3.96043	2.803635	1.191847e-06
3.98517	2.803505	1.189254e-06
4	2.803428	1.187700e-06
4.01007	2.803376	1.197392e-06
4.03512	2.803248	1.221514e-06
4.06033	2.803121	1.245787e-06
4.08569	2.802996	1.270212e-06
4.11122	2.802871	1.294790e-06
4.1369	2.802748	1.319521e-06
4.16274	2.802625	1.344406e-06
4.18875	2.802504	1.369447e-06
4.21492	2.802383	1.394645e-06
4.24125	2.802264	1.419999e-06
4.26775	2.802145	1.445513e-06
4.29441	2.802027	1.471185e-06
4.32124	2.801911	1.497018e-06
4.34823	2.801795	1.523013e-06
4.3754	2.80168	1.549169e-06
4.40273	2.801566	1.575490e-06
4.43024	2.801452	1.601974e-06
4.45791	2.80134	1.628624e-06
4.48576	2.801228	1.655441e-06
4.51379	2.801117	1.682425e-06
4.54199	2.801007	1.709578e-06
4.57036	2.800897	1.736900e-06
4.59891	2.800788	1.764393e-06
4.62764	2.80068	1.792058e-06
4.65655	2.800573	1.819895e-06
4.68564	2.800466	1.847907e-06
4.71492	2.80036	1.876093e-06
4.74437	2.800254	1.904456e-06
4.77401	2.800149	1.932995e-06
4.80384	2.800045	1.961714e-06
4.83385	2.799941	1.990611e-06
4.86405	2.799838	2.019689e-06
4.89443	2.799735	2.048949e-06
4.92501	2.799633	2.078391e-06
4.95578	2.799531	2.108017e-06
4.98674	2.79943	2.137829e-06
5	2.799387	2.150600e-06
5.01789	2.799329	2.130450e-06
5.04924	2.799229	2.095143e-06
5.08078	2.799129	2.059615e-06
5.11252	2.799029	2.023865e-06
5.14446	2.79893	1.987892e-06
5.1766	2.798832	1.951694e-06
5.20894	2.798733	1.915270e-06
5.24148	2.798635	1.878618e-06
5.27423	2.798538	1.841737e-06
5.30718	2.79844	1.804626e-06
5.34033	2.798343	1.767283e-06
5.3737	2.798246	1.729707e-06
5.40727	2.79815	1.691896e-06
5.44105	2.798054	1.653849e-06
5.47504	2.797958	1.615564e-06
5.50924	2.797862	1.577040e-06
5.54366	2.797766	1.538276e-06
5.57829	2.797671	1.499269e-06
5.61314	2.797575	1.460018e-06
5.64821	2.79748	1.420522e-06
5.68349	2.797385	1.380780e-06
5.719	2.79729	1.340789e-06
5.75473	2.797196	1.300549e-06
5.79068	2.797101	1.260057e-06
5.82686	2.797006	1.219312e-06
5.86326	2.796912	1.178312e-06
5.89989	2.796817	1.137056e-06
5.93675	2.796722	1.095543e-06
5.97383	2.796628	1.053770e-06
6	2.796562	1.024300e-06
6.01115	2.796533	1.026200e-06
6.04871	2.796439	1.032595e-06
6.0865	2.796344	1.039030e-06
6.12452	2.796249	1.045506e-06
6.16278	2.796155	1.052022e-06
6.20128	2.79606	1.058578e-06
6.24002	2.795965	1.065176e-06
6.27901	2.79587	1.071815e-06
6.31823	2.795774	1.078495e-06
6.3577	2.795679	1.085217e-06
6.39742	2.795583	1.091981e-06
6.43739	2.795487	1.098787e-06
6.47761	2.795391	1.105636e-06
6.51807	2.795295	1.112528e-06
6.55879	2.795198	1.119462e-06
6.59977	2.795102	1.126440e-06
6.641	2.795004	1.133462e-06
6.68249	2.794907	1.140527e-06
6.72423	2.794809	1.147637e-06
6.76624	2.794711	1.154791e-06
6.80851	2.794613	1.161990e-06
6.85105	2.794514	1.169233e-06
6.89385	2.794415	1.176522e-06
6.93691	2.794315	1.183857e-06
6.98025	2.794215	1.191237e-06
7	2.794169	1.194600e-06
7.02386	2.794114	1.237729e-06
7.06774	2.794013	1.317051e-06
7.11189	2.793912	1.396868e-06
7.15632	2.79381	1.477184e-06
7.20103	2.793707	1.558002e-06
7.24602	2.793604	1.639325e-06
7.29128	2.7935	1.721155e-06
7.33684	2.793396	1.803497e-06
7.38267	2.793291	1.886353e-06
7.42879	2.793186	1.969727e-06
7.4752	2.79308	2.053622e-06
7.5219	2.792973	2.138041e-06
7.56889	2.792865	2.222987e-06
7.61618	2.792757	2.308464e-06
7.66376	2.792648	2.394475e-06
7.71164	2.792538	2.481023e-06
7.75981	2.792428	2.568112e-06
7.80829	2.792317	2.655745e-06
7.85707	2.792204	2.743926e-06
7.90616	2.792091	2.832657e-06
7.95555	2.791978	2.921943e-06
8	2.791875	3.002300e-06
8.00525	2.791863	2.988908e-06
8.05526	2.791747	2.861281e-06
8.10558	2.791631	2.732858e-06
8.15622	2.791513	2.603632e-06
8.20717	2.791394	2.473598e-06
8.25845	2.791275	2.342753e-06
8.31004	2.791154	2.211090e-06
8.36195	2.791033	2.078604e-06
8.41419	2.79091	1.945291e-06
8.46676	2.790786	1.811144e-06
8.51965	2.790661	1.676160e-06
8.57288	2.790535	1.540333e-06
8.62644	2.790407	1.403657e-06
8.68033	2.790279	1.266127e-06
8.73456	2.790149	1.127738e-06
8.78912	2.790018	9.884839e-07
8.84403	2.789885	8.483603e-07
8.89928	2.789751	7.073613e-07
8.95488	2.789616	5.654815e-07
9	2.789506	4.503300e-07
9.01082	2.789479	4.512764e-07
9.06711	2.789341	4.561998e-07
9.12376	2.789202	4.611539e-07
9.18076	2.789061	4.661390e-07
9.23811	2.788918	4.711553e-07
9.29582	2.788774	4.762028e-07
9.3539	2.788628	4.812820e-07
9.41233	2.788481	4.863928e-07
9.47114	2.788332	4.915356e-07
9.5303	2.788181	4.967105e-07
9.58984	2.788029	5.019177e-07
9.64975	2.787875	5.071575e-07
9.71004	2.787719	5.124299e-07
9.7707	2.787561	5.177354e-07
9.83174	2.787401	5.230739e-07
9.89316	2.787239	5.284459e-07
9.95497	2.787075	5.338514e-07
10	2.786956	5.377900e-07
10.0172	2.78691	6.283283e-07
10.0797	2.786742	9.585504e-07
10.1427	2.786572	1.290836e-06
10.2061	2.7864	1.625197e-06
10.2698	2.786226	1.961646e-06
10.334	2.786049	2.300198e-06
10.3986	2.785871	2.640865e-06
10.4635	2.78569	2.983660e-06
10.5289	2.785506	3.328597e-06
10.5947	2.78532	3.675688e-06
10.6608	2.785132	4.024948e-06
10.7274	2.784941	4.376390e-06
10.7945	2.784748	4.730027e-06
10.8619	2.784552	5.085874e-06
10.9298	2.784353	5.443943e-06
10.998	2.784151	5.804250e-06
11	2.784145	5.814600e-06
11.0667	2.783947	8.684115e-06
11.1359	2.78374	1.165641e-05
11.2055	2.78353	1.464727e-05
11.2755	2.783317	1.765682e-05
11.3459	2.7831	2.068517e-05
11.4168	2.782881	2.373244e-05
11.4881	2.782659	2.679874e-05
11.5599	2.782433	2.988420e-05
11.6321	2.782204	3.298894e-05
11.7048	2.781972	3.611307e-05
11.7779	2.781736	3.925672e-05
11.8515	2.781497	4.242001e-05
11.9255	2.781254	4.560306e-05
12	2.781007	4.880600e-05

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