Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.00069
Extinction coefficient k: 0

Permittivity ε₁: 1.00139
Permittivity ε₂: 0

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

Abbe number V_d: 49.933
Chromatic dispersion dn/dλ: -7.10808e-05 µm⁻¹

Group index n_g: 1.00074
Group velocity dispersion: 0.136968 fs²/mm

Dispersion parameter D: -0.747231 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

# Xe (Xenon): Börzsönyi et al. 2008: n 0.4–1.0 µm
xe = ls.fetch_refractiveindex("main", "Xe", "Borzsonyi", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(xe.range_nm)  # (400, 1000) nm
eps = xe.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_c7aa304e6afd/lightsmith"
xe = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(xe.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (xe/borzsonyi-2008).

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

import json, urllib.request
import lightsmith as ls

url = "https://materials.lightsmith.dev/v1/datasets/ds_c7aa304e6afd/lightsmith?model=drude_lorentz"
xe_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 (C in µm²) (formula 2), λ in µm

n^{2} - 1 = \frac{0.0010370161 λ^{2}}{λ^{2} - 0.01275} + \frac{0.0003122861 λ^{2}}{λ^{2} - 0.000561}

Valid from 0.4 to 1.0 µm.

Coefficients as stored

C_i	Value
C1	0.0
C2	0.0010370161
C3	0.01275
C4	0.0003122861
C5	0.000561

Comments and conditions

273 K (0 °C), 1000 mbar. Dispersion formula may be usable down to ~0.2 µm. There is a typo in one of the coefficients of the dispersion formula given in the paper: 12.75e-6 should be 12.75e-3.

Conditions

temperature: 273 K
pressure: 100000

References

A. Börzsönyi, Z. Heiner, M. P. Kalashnikov, A. P. Kovács, K. Osvay. Dispersion measurement of inert gases and gas mixtures at 800 nm. Appl. Opt. 47, 4856-4863 (2008)

doi:10.1364/ao.47.004856 Dispersion measurement of inert gases and gas mixtures at 800 nm, Applied Optics (2008)

Cite

A. Börzsönyi, Z. Heiner, M. P. Kalashnikov, A. P. Kovács and K. Osvay. Dispersion measurement of inert gases and gas mixtures at 800 nm. Applied Optics, 47, 4856 (2008), doi:10.1364/ao.47.004856; 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

Xe (Xenon), Börzsönyi et al. 2008: n 0.4–1.0 µm: n and k versus wavelength
λ (µm)	n
0.4	1.00072
0.40092	1.00072
0.401841	1.000719
0.402765	1.000719
0.403691	1.000719
0.404619	1.000719
0.40555	1.000719
0.406482	1.000718
0.407417	1.000718
0.408353	1.000718
0.409292	1.000718
0.410233	1.000717
0.411176	1.000717
0.412122	1.000717
0.413069	1.000717
0.414019	1.000717
0.414971	1.000716
0.415925	1.000716
0.416881	1.000716
0.41784	1.000716
0.4188	1.000716
0.419763	1.000715
0.420728	1.000715
0.421695	1.000715
0.422665	1.000715
0.423637	1.000715
0.424611	1.000714
0.425587	1.000714
0.426565	1.000714
0.427546	1.000714
0.428529	1.000714
0.429514	1.000713
0.430502	1.000713
0.431492	1.000713
0.432484	1.000713
0.433478	1.000713
0.434475	1.000712
0.435473	1.000712
0.436475	1.000712
0.437478	1.000712
0.438484	1.000712
0.439492	1.000711
0.440503	1.000711
0.441515	1.000711
0.44253	1.000711
0.443548	1.000711
0.444568	1.000711
0.44559	1.00071
0.446614	1.00071
0.447641	1.00071
0.44867	1.00071
0.449702	1.00071
0.450736	1.00071
0.451772	1.000709
0.452811	1.000709
0.453852	1.000709
0.454895	1.000709
0.455941	1.000709
0.456989	1.000709
0.45804	1.000708
0.459093	1.000708
0.460148	1.000708
0.461206	1.000708
0.462267	1.000708
0.46333	1.000708
0.464395	1.000707
0.465462	1.000707
0.466533	1.000707
0.467605	1.000707
0.46868	1.000707
0.469758	1.000707
0.470838	1.000706
0.47192	1.000706
0.473005	1.000706
0.474093	1.000706
0.475183	1.000706
0.476275	1.000706
0.47737	1.000706
0.478468	1.000705
0.479568	1.000705
0.48067	1.000705
0.481776	1.000705
0.482883	1.000705
0.483993	1.000705
0.485106	1.000704
0.486222	1.000704
0.487339	1.000704
0.48846	1.000704
0.489583	1.000704
0.490708	1.000704
0.491837	1.000704
0.492967	1.000703
0.494101	1.000703
0.495237	1.000703
0.496375	1.000703
0.497517	1.000703
0.49866	1.000703
0.499807	1.000703
0.500956	1.000703
0.502108	1.000702
0.503262	1.000702
0.504419	1.000702
0.505579	1.000702
0.506741	1.000702
0.507906	1.000702
0.509074	1.000702
0.510245	1.000701
0.511418	1.000701
0.512593	1.000701
0.513772	1.000701
0.514953	1.000701
0.516137	1.000701
0.517324	1.000701
0.518513	1.000701
0.519705	1.0007
0.5209	1.0007
0.522098	1.0007
0.523298	1.0007
0.524501	1.0007
0.525707	1.0007
0.526916	1.0007
0.528127	1.0007
0.529341	1.000699
0.530558	1.000699
0.531778	1.000699
0.533001	1.000699
0.534226	1.000699
0.535455	1.000699
0.536686	1.000699
0.537919	1.000699
0.539156	1.000698
0.540396	1.000698
0.541638	1.000698
0.542884	1.000698
0.544132	1.000698
0.545383	1.000698
0.546637	1.000698
0.547893	1.000698
0.549153	1.000698
0.550416	1.000697
0.551681	1.000697
0.552949	1.000697
0.554221	1.000697
0.555495	1.000697
0.556772	1.000697
0.558052	1.000697
0.559335	1.000697
0.560621	1.000697
0.56191	1.000697
0.563202	1.000696
0.564497	1.000696
0.565795	1.000696
0.567095	1.000696
0.568399	1.000696
0.569706	1.000696
0.571016	1.000696
0.572329	1.000696
0.573645	1.000696
0.574963	1.000695
0.576285	1.000695
0.57761	1.000695
0.578938	1.000695
0.580269	1.000695
0.581603	1.000695
0.582941	1.000695
0.584281	1.000695
0.585624	1.000695
0.586971	1.000695
0.58832	1.000694
0.589673	1.000694
0.591028	1.000694
0.592387	1.000694
0.593749	1.000694
0.595114	1.000694
0.596483	1.000694
0.597854	1.000694
0.599228	1.000694
0.600606	1.000694
0.601987	1.000694
0.603371	1.000693
0.604758	1.000693
0.606149	1.000693
0.607542	1.000693
0.608939	1.000693
0.610339	1.000693
0.611742	1.000693
0.613149	1.000693
0.614558	1.000693
0.615971	1.000693
0.617388	1.000693
0.618807	1.000692
0.62023	1.000692
0.621656	1.000692
0.623085	1.000692
0.624517	1.000692
0.625953	1.000692
0.627392	1.000692
0.628835	1.000692
0.630281	1.000692
0.63173	1.000692
0.633182	1.000692
0.634638	1.000692
0.636097	1.000691
0.637559	1.000691
0.639025	1.000691
0.640494	1.000691
0.641967	1.000691
0.643443	1.000691
0.644922	1.000691
0.646405	1.000691
0.647891	1.000691
0.649381	1.000691
0.650874	1.000691
0.65237	1.000691
0.65387	1.000691
0.655373	1.00069
0.65688	1.00069
0.65839	1.00069
0.659904	1.00069
0.661421	1.00069
0.662942	1.00069
0.664466	1.00069
0.665994	1.00069
0.667525	1.00069
0.66906	1.00069
0.670598	1.00069
0.67214	1.00069
0.673685	1.00069
0.675234	1.00069
0.676786	1.000689
0.678342	1.000689
0.679902	1.000689
0.681465	1.000689
0.683032	1.000689
0.684602	1.000689
0.686176	1.000689
0.687754	1.000689
0.689335	1.000689
0.69092	1.000689
0.692508	1.000689
0.694101	1.000689
0.695696	1.000689
0.697296	1.000689
0.698899	1.000688
0.700506	1.000688
0.702116	1.000688
0.703731	1.000688
0.705349	1.000688
0.70697	1.000688
0.708596	1.000688
0.710225	1.000688
0.711858	1.000688
0.713494	1.000688
0.715135	1.000688
0.716779	1.000688
0.718427	1.000688
0.720079	1.000688
0.721734	1.000688
0.723393	1.000688
0.725057	1.000687
0.726724	1.000687
0.728394	1.000687
0.730069	1.000687
0.731748	1.000687
0.73343	1.000687
0.735116	1.000687
0.736806	1.000687
0.7385	1.000687
0.740198	1.000687
0.7419	1.000687
0.743606	1.000687
0.745315	1.000687
0.747029	1.000687
0.748746	1.000687
0.750468	1.000687
0.752193	1.000687
0.753923	1.000686
0.755656	1.000686
0.757393	1.000686
0.759135	1.000686
0.76088	1.000686
0.762629	1.000686
0.764383	1.000686
0.76614	1.000686
0.767901	1.000686
0.769667	1.000686
0.771437	1.000686
0.77321	1.000686
0.774988	1.000686
0.77677	1.000686
0.778555	1.000686
0.780345	1.000686
0.78214	1.000686
0.783938	1.000686
0.78574	1.000685
0.787547	1.000685
0.789357	1.000685
0.791172	1.000685
0.792991	1.000685
0.794814	1.000685
0.796642	1.000685
0.798473	1.000685
0.800309	1.000685
0.802149	1.000685
0.803993	1.000685
0.805842	1.000685
0.807694	1.000685
0.809551	1.000685
0.811413	1.000685
0.813278	1.000685
0.815148	1.000685
0.817022	1.000685
0.8189	1.000685
0.820783	1.000685
0.82267	1.000685
0.824562	1.000684
0.826457	1.000684
0.828358	1.000684
0.830262	1.000684
0.832171	1.000684
0.834084	1.000684
0.836002	1.000684
0.837924	1.000684
0.83985	1.000684
0.841781	1.000684
0.843717	1.000684
0.845656	1.000684
0.847601	1.000684
0.849549	1.000684
0.851503	1.000684
0.85346	1.000684
0.855422	1.000684
0.857389	1.000684
0.85936	1.000684
0.861336	1.000684
0.863316	1.000684
0.865301	1.000684
0.867291	1.000683
0.869285	1.000683
0.871283	1.000683
0.873286	1.000683
0.875294	1.000683
0.877307	1.000683
0.879324	1.000683
0.881345	1.000683
0.883372	1.000683
0.885403	1.000683
0.887438	1.000683
0.889479	1.000683
0.891524	1.000683
0.893573	1.000683
0.895628	1.000683
0.897687	1.000683
0.899751	1.000683
0.901819	1.000683
0.903893	1.000683
0.905971	1.000683
0.908054	1.000683
0.910142	1.000683
0.912234	1.000683
0.914331	1.000683
0.916433	1.000683
0.91854	1.000682
0.920652	1.000682
0.922769	1.000682
0.924891	1.000682
0.927017	1.000682
0.929148	1.000682
0.931284	1.000682
0.933426	1.000682
0.935572	1.000682
0.937723	1.000682
0.939879	1.000682
0.942039	1.000682
0.944205	1.000682
0.946376	1.000682
0.948552	1.000682
0.950733	1.000682
0.952919	1.000682
0.955109	1.000682
0.957305	1.000682
0.959506	1.000682
0.961712	1.000682
0.963923	1.000682
0.96614	1.000682
0.968361	1.000682
0.970587	1.000682
0.972819	1.000682
0.975055	1.000682
0.977297	1.000682
0.979544	1.000681
0.981796	1.000681
0.984053	1.000681
0.986316	1.000681
0.988583	1.000681
0.990856	1.000681
0.993134	1.000681
0.995418	1.000681
0.997706	1.000681
1	1.000681

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