Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 2.5155
Extinction coefficient k: 8.36797e-07

Permittivity ε₁: 6.32772
Permittivity ε₂: 4.20992e-06

Absorption coefficient α: 0.0303916 cm⁻¹
Penetration depth δ = λ/(2πk): 6.58076e+08 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -0.00471606 µm⁻¹

Group index n_g: 2.53181
Group velocity dispersion: 221.403 fs²/mm

Dispersion parameter D: -34.8363 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 2 (VITRON): IG 2
vitron_ig2 = ls.fetch_refractiveindex("specs", "VITRON-infrared", "IG2", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(vitron_ig2.range_nm)  # (1000, 12000) nm
eps = vitron_ig2.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_58833d6d5511/lightsmith"
vitron_ig2 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(vitron_ig2.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (vitron-ig2/vitron).

# ... load vitron_ig2 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=vitron_ig2)],
    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_58833d6d5511/lightsmith?model=drude_lorentz"
vitron_ig2_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 = 2.341388 + \frac{2.962098 λ^{2}}{λ^{2} - {0.360017}^{2}} + \frac{0.831035 λ^{2}}{λ^{2} - {35.023342}^{2}}

Valid from 1.0 to 12.0 µm.

Coefficients as stored

C_i	Value
C1	2.341388
C2	2.962098
C3	0.360017
C4	0.831035
C5	35.023342

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-2 June 2014
2) Dr. Rolf Henkel (VITRON Spezialwerkstoffe GmbH) - private communications

Cite

VITRON datasheet IG-2 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 2 (VITRON), IG 2: n and k versus wavelength
λ (µm)	n	k
1	2.596903	7.643400e-07
1.00625	2.595695	7.603174e-07
1.01253	2.594506	7.562696e-07
1.01886	2.593336	7.521966e-07
1.02522	2.592184	7.480981e-07
1.03163	2.591049	7.439740e-07
1.03807	2.589931	7.398242e-07
1.04456	2.588831	7.356484e-07
1.05108	2.587748	7.314466e-07
1.05765	2.586681	7.272184e-07
1.06426	2.58563	7.229639e-07
1.07091	2.584595	7.186828e-07
1.0776	2.583575	7.143750e-07
1.08433	2.582571	7.100402e-07
1.0911	2.581582	7.056784e-07
1.09792	2.580608	7.012893e-07
1.10478	2.579648	6.968728e-07
1.11168	2.578703	6.924287e-07
1.11863	2.577771	6.879568e-07
1.12561	2.576853	6.834570e-07
1.13265	2.575949	6.789291e-07
1.13972	2.575059	6.743729e-07
1.14684	2.574181	6.697882e-07
1.15401	2.573316	6.651749e-07
1.16122	2.572464	6.605328e-07
1.16847	2.571624	6.558616e-07
1.17577	2.570797	6.511613e-07
1.18312	2.569981	6.464317e-07
1.19051	2.569177	6.416724e-07
1.19794	2.568385	6.368835e-07
1.20543	2.567605	6.320646e-07
1.21296	2.566836	6.272156e-07
1.22054	2.566077	6.223364e-07
1.22816	2.56533	6.174266e-07
1.23583	2.564593	6.124862e-07
1.24356	2.563867	6.075149e-07
1.25132	2.563151	6.025125e-07
1.25914	2.562445	5.974789e-07
1.26701	2.56175	5.924139e-07
1.27492	2.561064	5.873172e-07
1.28289	2.560388	5.821887e-07
1.2909	2.559721	5.770281e-07
1.29897	2.559064	5.718353e-07
1.30708	2.558416	5.666101e-07
1.31525	2.557777	5.613522e-07
1.32346	2.557148	5.560615e-07
1.33173	2.556526	5.507377e-07
1.34005	2.555914	5.453806e-07
1.34842	2.55531	5.399901e-07
1.35685	2.554715	5.345659e-07
1.36532	2.554127	5.291078e-07
1.37385	2.553548	5.236157e-07
1.38244	2.552977	5.180892e-07
1.39107	2.552414	5.125282e-07
1.39976	2.551859	5.069324e-07
1.40851	2.551311	5.013017e-07
1.41731	2.550771	4.956358e-07
1.42616	2.550238	4.899345e-07
1.43507	2.549712	4.841976e-07
1.44404	2.549194	4.784249e-07
1.45306	2.548682	4.726161e-07
1.46214	2.548178	4.667710e-07
1.47127	2.54768	4.608894e-07
1.48046	2.54719	4.549710e-07
1.48971	2.546705	4.490157e-07
1.49902	2.546228	4.430232e-07
1.5	2.546178	4.423900e-07
1.50838	2.545757	4.426458e-07
1.5178	2.545292	4.429334e-07
1.52729	2.544833	4.432228e-07
1.53683	2.544381	4.435140e-07
1.54643	2.543935	4.438070e-07
1.55609	2.543494	4.441019e-07
1.56581	2.54306	4.443986e-07
1.57559	2.542631	4.446971e-07
1.58544	2.542208	4.449975e-07
1.59534	2.541791	4.452998e-07
1.60531	2.541379	4.456040e-07
1.61534	2.540973	4.459101e-07
1.62543	2.540572	4.462181e-07
1.63558	2.540176	4.465280e-07
1.6458	2.539785	4.468398e-07
1.65608	2.5394	4.471536e-07
1.66643	2.53902	4.474694e-07
1.67684	2.538644	4.477871e-07
1.68731	2.538274	4.481068e-07
1.69786	2.537909	4.484286e-07
1.70846	2.537548	4.487523e-07
1.71914	2.537192	4.490780e-07
1.72988	2.53684	4.494058e-07
1.74068	2.536493	4.497356e-07
1.75156	2.536151	4.500675e-07
1.7625	2.535813	4.504015e-07
1.77351	2.53548	4.507375e-07
1.78459	2.53515	4.510757e-07
1.79574	2.534825	4.514160e-07
1.80696	2.534504	4.517583e-07
1.81825	2.534188	4.521029e-07
1.82961	2.533875	4.524495e-07
1.84104	2.533566	4.527984e-07
1.85254	2.533262	4.531494e-07
1.86411	2.532961	4.535026e-07
1.87576	2.532664	4.538581e-07
1.88747	2.532371	4.542157e-07
1.89927	2.532081	4.545756e-07
1.91113	2.531795	4.549377e-07
1.92307	2.531513	4.553021e-07
1.93508	2.531234	4.556688e-07
1.94717	2.530959	4.560377e-07
1.95934	2.530687	4.564090e-07
1.97158	2.530419	4.567826e-07
1.98389	2.530154	4.571585e-07
1.99629	2.529892	4.575367e-07
2	2.529815	4.576500e-07
2.00876	2.529634	4.613886e-07
2.02131	2.529378	4.667444e-07
2.03394	2.529126	4.721336e-07
2.04664	2.528877	4.775565e-07
2.05943	2.528632	4.830133e-07
2.0723	2.528389	4.885042e-07
2.08524	2.528149	4.940294e-07
2.09827	2.527912	4.995891e-07
2.11138	2.527678	5.051835e-07
2.12457	2.527447	5.108129e-07
2.13784	2.527218	5.164774e-07
2.1512	2.526993	5.221773e-07
2.16463	2.52677	5.279129e-07
2.17816	2.52655	5.336842e-07
2.19177	2.526332	5.394917e-07
2.20546	2.526117	5.453354e-07
2.21924	2.525905	5.512156e-07
2.2331	2.525695	5.571325e-07
2.24705	2.525488	5.630864e-07
2.26109	2.525283	5.690776e-07
2.27521	2.525081	5.751061e-07
2.28943	2.524881	5.811723e-07
2.30373	2.524683	5.872764e-07
2.31812	2.524488	5.934186e-07
2.33261	2.524295	5.995992e-07
2.34718	2.524104	6.058184e-07
2.36184	2.523916	6.120765e-07
2.3766	2.52373	6.183737e-07
2.39144	2.523545	6.247102e-07
2.40638	2.523363	6.310863e-07
2.42142	2.523183	6.375022e-07
2.43654	2.523006	6.439582e-07
2.45177	2.52283	6.504545e-07
2.46708	2.522656	6.569914e-07
2.48249	2.522484	6.635692e-07
2.498	2.522314	6.701881e-07
2.51361	2.522146	6.768483e-07
2.52931	2.52198	6.835501e-07
2.54511	2.521816	6.902937e-07
2.56101	2.521653	6.970795e-07
2.57701	2.521492	7.039077e-07
2.59311	2.521334	7.107786e-07
2.60931	2.521176	7.176924e-07
2.62561	2.521021	7.246494e-07
2.64202	2.520867	7.316498e-07
2.65852	2.520715	7.386940e-07
2.67513	2.520565	7.457821e-07
2.69184	2.520416	7.529146e-07
2.70866	2.520269	7.600916e-07
2.72558	2.520123	7.673135e-07
2.74261	2.519979	7.745804e-07
2.75974	2.519836	7.818928e-07
2.77698	2.519695	7.892509e-07
2.79433	2.519556	7.966549e-07
2.81179	2.519417	8.041052e-07
2.82935	2.519281	8.116020e-07
2.84703	2.519145	8.191456e-07
2.86482	2.519011	8.267364e-07
2.88271	2.518879	8.343746e-07
2.90072	2.518747	8.420605e-07
2.91884	2.518617	8.497945e-07
2.93708	2.518489	8.575767e-07
2.95543	2.518361	8.654076e-07
2.97389	2.518235	8.732874e-07
2.99247	2.51811	8.812164e-07
3	2.51806	8.844300e-07
3.01116	2.517986	8.832739e-07
3.02998	2.517863	8.813259e-07
3.04891	2.517742	8.793658e-07
3.06795	2.517622	8.773935e-07
3.08712	2.517502	8.754088e-07
3.10641	2.517384	8.734117e-07
3.12581	2.517267	8.714022e-07
3.14534	2.517151	8.693801e-07
3.16499	2.517036	8.673453e-07
3.18476	2.516923	8.652979e-07
3.20466	2.51681	8.632377e-07
3.22468	2.516698	8.611646e-07
3.24482	2.516587	8.590785e-07
3.2651	2.516477	8.569794e-07
3.28549	2.516368	8.548672e-07
3.30602	2.51626	8.527418e-07
3.32667	2.516152	8.506031e-07
3.34745	2.516046	8.484511e-07
3.36837	2.515941	8.462856e-07
3.38941	2.515836	8.441066e-07
3.41058	2.515732	8.419140e-07
3.43189	2.515629	8.397076e-07
3.45333	2.515527	8.374875e-07
3.47491	2.515425	8.352536e-07
3.49661	2.515324	8.330056e-07
3.51846	2.515225	8.307436e-07
3.54044	2.515125	8.284675e-07
3.56256	2.515027	8.261772e-07
3.58481	2.514929	8.238726e-07
3.60721	2.514832	8.215535e-07
3.62974	2.514735	8.192200e-07
3.65242	2.514639	8.168719e-07
3.67524	2.514544	8.145092e-07
3.6982	2.514449	8.121316e-07
3.7213	2.514355	8.097392e-07
3.74455	2.514262	8.073319e-07
3.76794	2.514169	8.049095e-07
3.79148	2.514077	8.024720e-07
3.81517	2.513985	8.000193e-07
3.839	2.513894	7.975513e-07
3.86299	2.513803	7.950678e-07
3.88712	2.513713	7.925688e-07
3.9114	2.513623	7.900542e-07
3.93584	2.513533	7.875239e-07
3.96043	2.513444	7.849778e-07
3.98517	2.513356	7.824158e-07
4	2.513303	7.808800e-07
4.01007	2.513268	7.827448e-07
4.03512	2.51318	7.873861e-07
4.06033	2.513093	7.920565e-07
4.08569	2.513006	7.967561e-07
4.11122	2.51292	8.014850e-07
4.1369	2.512833	8.062434e-07
4.16274	2.512748	8.110316e-07
4.18875	2.512662	8.158497e-07
4.21492	2.512577	8.206979e-07
4.24125	2.512492	8.255764e-07
4.26775	2.512407	8.304853e-07
4.29441	2.512323	8.354249e-07
4.32124	2.512239	8.403954e-07
4.34823	2.512155	8.453970e-07
4.3754	2.512071	8.504297e-07
4.40273	2.511988	8.554940e-07
4.43024	2.511904	8.605898e-07
4.45791	2.511821	8.657175e-07
4.48576	2.511738	8.708772e-07
4.51379	2.511656	8.760692e-07
4.54199	2.511573	8.812936e-07
4.57036	2.51149	8.865506e-07
4.59891	2.511408	8.918405e-07
4.62764	2.511326	8.971635e-07
4.65655	2.511243	9.025196e-07
4.68564	2.511161	9.079093e-07
4.71492	2.511079	9.133326e-07
4.74437	2.510997	9.187898e-07
4.77401	2.510915	9.242811e-07
4.80384	2.510833	9.298067e-07
4.83385	2.510751	9.353668e-07
4.86405	2.510669	9.409616e-07
4.89443	2.510587	9.465914e-07
4.92501	2.510505	9.522564e-07
4.95578	2.510423	9.579568e-07
4.98674	2.510341	9.636927e-07
5	2.510305	9.661500e-07
5.01789	2.510258	9.575509e-07
5.04924	2.510176	9.424831e-07
5.08078	2.510093	9.273212e-07
5.11252	2.510011	9.120645e-07
5.14446	2.509928	8.967126e-07
5.1766	2.509845	8.812647e-07
5.20894	2.509762	8.657204e-07
5.24148	2.509679	8.500789e-07
5.27423	2.509595	8.343397e-07
5.30718	2.509512	8.185022e-07
5.34033	2.509428	8.025657e-07
5.3737	2.509344	7.865297e-07
5.40727	2.509259	7.703935e-07
5.44105	2.509175	7.541565e-07
5.47504	2.50909	7.378180e-07
5.50924	2.509005	7.213775e-07
5.54366	2.508919	7.048343e-07
5.57829	2.508833	6.881877e-07
5.61314	2.508747	6.714372e-07
5.64821	2.508661	6.545820e-07
5.68349	2.508574	6.376214e-07
5.719	2.508487	6.205550e-07
5.75473	2.508399	6.033819e-07
5.79068	2.508311	5.861015e-07
5.82686	2.508222	5.687132e-07
5.86326	2.508134	5.512162e-07
5.89989	2.508044	5.336100e-07
5.93675	2.507954	5.158937e-07
5.97383	2.507864	4.980668e-07
6	2.5078	4.854900e-07
6.01115	2.507773	4.866720e-07
6.04871	2.507682	4.906516e-07
6.0865	2.50759	4.946560e-07
6.12452	2.507497	4.986854e-07
6.16278	2.507404	5.027399e-07
6.20128	2.507311	5.068198e-07
6.24002	2.507216	5.109252e-07
6.27901	2.507121	5.150563e-07
6.31823	2.507026	5.192131e-07
6.3577	2.50693	5.233959e-07
6.39742	2.506833	5.276049e-07
6.43739	2.506735	5.318401e-07
6.47761	2.506637	5.361018e-07
6.51807	2.506538	5.403901e-07
6.55879	2.506439	5.447053e-07
6.59977	2.506338	5.490473e-07
6.641	2.506237	5.534165e-07
6.68249	2.506135	5.578130e-07
6.72423	2.506032	5.622370e-07
6.76624	2.505928	5.666886e-07
6.80851	2.505824	5.711680e-07
6.85105	2.505718	5.756754e-07
6.89385	2.505612	5.802109e-07
6.93691	2.505505	5.847748e-07
6.98025	2.505396	5.893672e-07
7	2.505347	5.914600e-07
7.02386	2.505287	6.133250e-07
7.06774	2.505177	6.535384e-07
7.11189	2.505066	6.940029e-07
7.15632	2.504954	7.347203e-07
7.20103	2.504841	7.756920e-07
7.24602	2.504726	8.169197e-07
7.29128	2.504611	8.584049e-07
7.33684	2.504495	9.001493e-07
7.38267	2.504377	9.421545e-07
7.42879	2.504258	9.844221e-07
7.4752	2.504138	1.026954e-06
7.5219	2.504017	1.069751e-06
7.56889	2.503895	1.112816e-06
7.61618	2.503771	1.156150e-06
7.66376	2.503646	1.199754e-06
7.71164	2.50352	1.243631e-06
7.75981	2.503393	1.287782e-06
7.80829	2.503264	1.332209e-06
7.85707	2.503134	1.376913e-06
7.90616	2.503002	1.421897e-06
7.95555	2.502869	1.467162e-06
8	2.502749	1.507900e-06
8.00525	2.502734	1.501074e-06
8.05526	2.502598	1.436019e-06
8.10558	2.502461	1.370559e-06
8.15622	2.502322	1.304689e-06
8.20717	2.502181	1.238408e-06
8.25845	2.502039	1.171713e-06
8.31004	2.501895	1.104601e-06
8.36195	2.50175	1.037070e-06
8.41419	2.501603	9.691171e-07
8.46676	2.501454	9.007396e-07
8.51965	2.501303	8.319349e-07
8.57288	2.501151	7.627003e-07
8.62644	2.500996	6.930333e-07
8.68033	2.50084	6.229310e-07
8.73456	2.500682	5.523908e-07
8.78912	2.500522	4.814099e-07
8.84403	2.50036	4.099855e-07
8.89928	2.500197	3.381150e-07
8.95488	2.500031	2.657954e-07
9	2.499895	2.071000e-07
9.01082	2.499863	2.089677e-07
9.06711	2.499693	2.186839e-07
9.12376	2.499521	2.284608e-07
9.18076	2.499346	2.382987e-07
9.23811	2.49917	2.481981e-07
9.29582	2.498991	2.581594e-07
9.3539	2.49881	2.681829e-07
9.41233	2.498626	2.782690e-07
9.47114	2.49844	2.884181e-07
9.5303	2.498252	2.986306e-07
9.58984	2.498061	3.089069e-07
9.64975	2.497868	3.192475e-07
9.71004	2.497672	3.296526e-07
9.7707	2.497474	3.401227e-07
9.83174	2.497273	3.506583e-07
9.89316	2.497069	3.612596e-07
9.95497	2.496863	3.719272e-07
10	2.496711	3.797000e-07
10.0172	2.496653	4.474886e-07
10.0797	2.496441	6.947355e-07
10.1427	2.496226	9.435270e-07
10.2061	2.496008	1.193873e-06
10.2698	2.495787	1.445782e-06
10.334	2.495563	1.699266e-06
10.3986	2.495336	1.954333e-06
10.4635	2.495106	2.210994e-06
10.5289	2.494872	2.469257e-06
10.5947	2.494635	2.729135e-06
10.6608	2.494395	2.990636e-06
10.7274	2.494151	3.253770e-06
10.7945	2.493904	3.518549e-06
10.8619	2.493653	3.784981e-06
10.9298	2.493399	4.053079e-06
10.998	2.493141	4.322850e-06
11	2.493133	4.330600e-06
11.0667	2.492879	7.482051e-06
11.1359	2.492614	1.074638e-05
11.2055	2.492344	1.403110e-05
11.2755	2.492071	1.733634e-05
11.3459	2.491793	2.066223e-05
11.4168	2.491511	2.400890e-05
11.4881	2.491226	2.737648e-05
11.5599	2.490935	3.076509e-05
11.6321	2.490641	3.417488e-05
11.7048	2.490342	3.760596e-05
11.7779	2.490039	4.105848e-05
11.8515	2.489731	4.453257e-05
11.9255	2.489418	4.802837e-05
12	2.4891	5.154600e-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