Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 2.10481
Extinction coefficient k: 0.0087964

Permittivity ε₁: 4.43014
Permittivity ε₂: 0.0370295

Absorption coefficient α: 1881.19 cm⁻¹
Penetration depth δ = λ/(2πk): 10631.6 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -0.256629 µm⁻¹

Group index n_g: 2.2556
Group velocity dispersion: — fs²/mm

Dispersion parameter D: — 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

# Ta2O5 (Tantalum pentoxide): Rodríguez-de Marcos et al. 2016: n,k 0.03–1.5 µm
ta2o5 = ls.fetch_refractiveindex("main", "Ta2O5", "Rodriguez-de_Marcos", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ta2o5.range_nm)  # (29.4938, 1514.29) nm
eps = ta2o5.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_fe084c334c85/lightsmith"
ta2o5 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(ta2o5.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (ta2o5/rodriguez-de-marcos-2016).

# ... load ta2o5 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=ta2o5)],
    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.

Comments and conditions

Oxide films were deposited by reactive electron-beam evaporation onto various sorts of substrates at 300 °C

Conditions

deposition temperature: 573

References

L. V. Rodríguez-de Marcos, J. I. Larruquert, J. A. Méndez, J. A. Aznárez. Self-consistent optical constants of SiO₂ and Ta₂O₅ films. Opt. Mater. Express 6, 3622-3637 (2016) (Numerical data kindly provided by Juan Larruquert)

doi:10.1364/ome.6.003622 Self-consistent optical constants of SiO_2 and Ta_2O_5 films, Optical Materials Express (2016)

Cite

Luis V. Rodríguez-de Marcos, Juan I. Larruquert, José A. Méndez and José A. Aznárez. Self-consistent optical constants of SiO_2 and Ta_2O_5 films. Optical Materials Express, 6, 3622 (2016), doi:10.1364/ome.6.003622; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

212 rows as published

CSV comma separated TXT tab separated YAML n, k Full database record original YAML All quantities CSV JSON metadata

Ta2O5 (Tantalum pentoxide), Rodríguez-de Marcos et al. 2016: n,k 0.03–1.5 µm: n and k versus wavelength
λ (µm)	n	k
0.0294938	0.887314	0.187
0.0300495	0.883526	0.188
0.0306157	0.877279	0.191
0.0311925	0.870667	0.199
0.0317802	0.865582	0.209
0.032379	0.862174	0.22
0.032989	0.860291	0.231
0.0336106	0.859091	0.241
0.0342439	0.858507	0.252
0.0348891	0.858497	0.262
0.0355464	0.859036	0.273
0.0362162	0.860235	0.283
0.0368985	0.861649	0.293
0.0375937	0.863507	0.303
0.0383021	0.865407	0.312
0.0390237	0.867515	0.322
0.039759	0.870103	0.331
0.0405081	0.872251	0.339
0.0412713	0.874093	0.348
0.0420489	0.876263	0.357
0.0428412	0.878275	0.365
0.0436483	0.87964	0.373
0.0444707	0.880129	0.381
0.0453086	0.880275	0.391
0.0461623	0.881184	0.402
0.0470321	0.882563	0.412
0.0479182	0.883251	0.421
0.048821	0.881493	0.429
0.0497409	0.878349	0.443
0.0506781	0.877114	0.461
0.0516329	0.878412	0.48
0.0526057	0.882654	0.501001
0.0535969	0.891949	0.522999
0.0546067	0.903256	0.535
0.0556356	0.9099	0.542
0.0566838	0.914526	0.558
0.0577518	0.92129	0.574
0.05884	0.929812	0.591
0.0599486	0.941993	0.609
0.0610781	0.954689	0.617
0.0622289	0.96276	0.623
0.0634014	0.967331	0.633
0.0645959	0.972348	0.649001
0.065813	0.979227	0.665
0.067053	0.988735	0.684001
0.0683163	0.99924	0.697
0.0696035	1.008544	0.712
0.0709149	1.01816	0.728
0.0722511	1.026595	0.743
0.0736124	1.038517	0.770001
0.0749993	1.058245	0.792
0.0764124	1.078446	0.802
0.0778521	1.09483	0.811
0.0793189	1.107957	0.819
0.0808134	1.113578	0.824
0.082336	1.118704	0.853
0.0838874	1.135462	0.886998
0.0854679	1.159903	0.910999
0.0870782	1.182587	0.926001
0.0887189	1.209856	0.956
0.0903905	1.222391	0.943001
0.0920935	1.255146	1.04
0.0938287	1.32313	1.04
0.0955966	1.355658	1.000001
0.0973977	1.381876	1.039997
0.0992328	1.423695	1.04
0.101102	1.462605	1.05
0.103007	1.516706	1.069999
0.104948	1.572582	1.040002
0.106926	1.611368	1.01
0.10894	1.640192	0.982642
0.110993	1.666027	0.96411
0.113084	1.689775	0.9383
0.115215	1.705699	0.911129
0.117385	1.719929	0.898454
0.119597	1.73764	0.880978
0.12185	1.741873	0.842602
0.124146	1.745046	0.853835
0.126485	1.760641	0.844727
0.128869	1.77691	0.836531
0.131297	1.791499	0.817832
0.13377	1.80194	0.801912
0.136291	1.808534	0.782211
0.138859	1.809249	0.765015
0.141475	1.80675	0.755215
0.144141	1.803693	0.750299
0.146856	1.802791	0.752538
0.149623	1.803949	0.753066
0.152442	1.807081	0.758887
0.155315	1.81343	0.762572
0.158241	1.816681	0.758419
0.161222	1.815331	0.763733
0.16426	1.819607	0.783252
0.167355	1.82787	0.790552
0.170508	1.833097	0.802448
0.173721	1.84264	0.827663
0.176994	1.859949	0.850703
0.180329	1.886402	0.877517
0.183726	1.907338	0.873986
0.187188	1.927943	0.913957
0.190715	1.97103	0.950735
0.194308	2.018102	0.954682
0.197969	2.065739	0.976125
0.201699	2.124363	0.98747
0.205499	2.187821	0.98585
0.209371	2.252461	0.97423
0.213316	2.317765	0.954646
0.217335	2.383453	0.925142
0.22143	2.448583	0.884836
0.225602	2.510247	0.828696
0.229853	2.559918	0.752588
0.234183	2.592864	0.672583
0.238596	2.610037	0.591242
0.243091	2.614369	0.518054
0.247671	2.611533	0.452457
0.252338	2.601842	0.387131
0.257092	2.583646	0.326981
0.261936	2.5585	0.274948
0.266871	2.529054	0.232703
0.271899	2.498146	0.200034
0.277022	2.468192	0.175849
0.282242	2.440879	0.158014
0.28756	2.416946	0.144266
0.292978	2.39603	0.132192
0.298498	2.377475	0.121522
0.304122	2.361544	0.112057
0.309852	2.344878	0.097244
0.31569	2.327401	0.090259
0.321638	2.313067	0.08489
0.327698	2.299073	0.075455
0.333872	2.284646	0.07085
0.340163	2.272668	0.068438
0.346572	2.262346	0.063965
0.353102	2.25238	0.059838
0.359755	2.242995	0.056106
0.366533	2.234227	0.052575
0.373439	2.225945	0.049079
0.380475	2.218046	0.045771
0.387643	2.210459	0.04257
0.394947	2.203195	0.039735
0.402388	2.196309	0.037077
0.40997	2.189773	0.034591
0.417694	2.183516	0.03215
0.425564	2.177509	0.029938
0.433582	2.171784	0.027862
0.441752	2.166291	0.025847
0.450075	2.160999	0.023992
0.458555	2.155916	0.02226
0.467195	2.151042	0.020672
0.475997	2.146366	0.01916
0.484965	2.141875	0.017776
0.494103	2.137538	0.016424
0.503412	2.133353	0.015261
0.512897	2.129353	0.014182
0.522561	2.12552	0.013182
0.532407	2.121802	0.012206
0.542438	2.118237	0.011465
0.552658	2.114865	0.010744
0.563071	2.111633	0.010065
0.57368	2.108538	0.009478
0.584489	2.105606	0.008958
0.595501	2.10278	0.008386
0.606721	2.100052	0.007976
0.618153	2.097506	0.00766
0.629799	2.095102	0.007266
0.641666	2.092795	0.006922
0.653756	2.090601	0.006599
0.666073	2.088483	0.006256
0.678623	2.086529	0.00612
0.691409	2.084691	0.005687
0.704436	2.082859	0.005339
0.717708	2.081029	0.004917
0.731231	2.07927	0.004765
0.745008	2.077617	0.004474
0.759045	2.076014	0.004288
0.773347	2.074499	0.004105
0.787917	2.073057	0.003927
0.802763	2.071678	0.003752
0.817888	2.070356	0.00358
0.833298	2.069088	0.003417
0.848998	2.067873	0.003264
0.864995	2.06671	0.003113
0.881292	2.065595	0.002965
0.897897	2.064523	0.002819
0.914814	2.063492	0.002676
0.932051	2.0625	0.002535
0.949612	2.061544	0.002397
0.967504	2.060621	0.00226
0.985733	2.059728	0.002126
1.00431	2.058858	0.001993
1.02323	2.058014	0.001883
1.04251	2.057206	0.001791
1.06215	2.056435	0.001702
1.08216	2.055695	0.001614
1.10255	2.054984	0.001527
1.12332	2.0543	0.001442
1.14449	2.05364	0.001359
1.16605	2.053003	0.001277
1.18802	2.052387	0.001197
1.21041	2.05179	0.001118
1.23321	2.051209	0.00104
1.25645	2.050644	0.000974
1.28012	2.050097	0.000912
1.30424	2.049564	0.000852
1.32881	2.049043	0.000807
1.35385	2.048546	0.00079
1.37936	2.048078	0.000773
1.40535	2.047633	0.000757
1.43182	2.047209	0.000741
1.4588	2.046804	0.000725
1.48629	2.046415	0.00071
1.51429	2.046043	0.000694

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