Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 2.22967
Extinction coefficient k: 0

Permittivity ε₁: 4.97144
Permittivity ε₂: 0

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

Abbe number V_d: 18.102
Chromatic dispersion dn/dλ: -0.336074 µm⁻¹

Group index n_g: 2.42715
Group velocity dispersion: 734.75 fs²/mm

Dispersion parameter D: -4008.45 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

# YVO4 (Yttrium orthovanadate): Shi et al. 2001: n(e) 0.48–1.34 µm; 20 °C
yvo4 = ls.fetch_refractiveindex("main", "YVO4", "Shi-e-20C", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(yvo4.range_nm)  # (480, 1340) nm
eps = yvo4.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_da179b665285/lightsmith"
yvo4 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(yvo4.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (yvo4/shi-2001-e-20c).

# ... load yvo4 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=yvo4)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=480, 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

RefractiveIndex.INFO (formula 4), λ in µm

n^{2} = 4.6072 + \frac{0.108087 λ^{0.0}}{λ^{2} - {0.052495}^{1.0}} - 0.014305 λ^{2.0}

Valid from 0.48 to 1.34 µm.

Coefficients as stored

C_i	Value
C1	4.6072
C2	0.108087
C3	0.0
C4	0.052495
C5	1.0
C6	0.0
C7	0.0
C8	0.0
C9	1.0
C10	-0.014305
C11	2.0

Comments and conditions

Extraordinary ray (e), 20 °C.

Conditions

temperature: 293 K
direction: e

References

H. S. Shi, G. Zhang and H. Y. Shen. Measurement of principal refractive indices and the thermal refractive index coefficients of yttrium vanadate, J. Synthetic Cryst. 30, 85-88 (2001)

Cite

H. S. Shi, G. Zhang and H. Y. Shen. Measurement of principal refractive indices and the thermal refractive index coefficients of yttrium vanadate, J. Synthetic Cryst. 30, 85-88 (2001); 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

YVO4 (Yttrium orthovanadate), Shi et al. 2001: n(e) 0.48–1.34 µm; 20 °C: n and k versus wavelength
λ (µm)	n
0.48	2.282862
0.481237	2.281975
0.482476	2.281095
0.483719	2.280221
0.484966	2.279354
0.486215	2.278494
0.487468	2.27764
0.488724	2.276793
0.489983	2.275952
0.491245	2.275118
0.492511	2.27429
0.49378	2.273468
0.495052	2.272652
0.496327	2.271843
0.497606	2.271039
0.498888	2.270242
0.500173	2.26945
0.501462	2.268664
0.502754	2.267885
0.504049	2.26711
0.505348	2.266342
0.50665	2.265579
0.507955	2.264822
0.509264	2.264071
0.510576	2.263325
0.511891	2.262584
0.51321	2.261849
0.514532	2.261119
0.515858	2.260395
0.517187	2.259676
0.518519	2.258962
0.519855	2.258253
0.521194	2.257549
0.522537	2.25685
0.523883	2.256157
0.525233	2.255468
0.526586	2.254784
0.527943	2.254105
0.529303	2.253431
0.530667	2.252762
0.532034	2.252097
0.533405	2.251438
0.534779	2.250782
0.536157	2.250132
0.537538	2.249486
0.538923	2.248844
0.540311	2.248208
0.541703	2.247575
0.543099	2.246947
0.544498	2.246323
0.545901	2.245704
0.547307	2.245089
0.548717	2.244478
0.550131	2.243872
0.551548	2.243269
0.552969	2.242671
0.554394	2.242077
0.555822	2.241487
0.557254	2.240901
0.55869	2.240319
0.560129	2.239742
0.561573	2.239168
0.563019	2.238597
0.56447	2.238031
0.565924	2.237469
0.567382	2.23691
0.568844	2.236356
0.570309	2.235805
0.571779	2.235257
0.573252	2.234714
0.574729	2.234174
0.576209	2.233637
0.577694	2.233104
0.579182	2.232575
0.580674	2.23205
0.58217	2.231527
0.58367	2.231009
0.585174	2.230493
0.586682	2.229981
0.588193	2.229473
0.589709	2.228968
0.591228	2.228466
0.592751	2.227968
0.594278	2.227472
0.595809	2.22698
0.597344	2.226492
0.598883	2.226006
0.600426	2.225524
0.601973	2.225044
0.603524	2.224568
0.605079	2.224095
0.606638	2.223625
0.608201	2.223158
0.609768	2.222694
0.611339	2.222234
0.612914	2.221776
0.614493	2.221321
0.616076	2.220868
0.617663	2.220419
0.619254	2.219973
0.62085	2.21953
0.622449	2.219089
0.624053	2.218651
0.625661	2.218216
0.627273	2.217784
0.628889	2.217354
0.630509	2.216927
0.632133	2.216503
0.633762	2.216082
0.635395	2.215663
0.637032	2.215247
0.638673	2.214833
0.640318	2.214422
0.641968	2.214014
0.643622	2.213608
0.64528	2.213205
0.646943	2.212804
0.648609	2.212405
0.65028	2.21201
0.651956	2.211616
0.653635	2.211225
0.655319	2.210837
0.657008	2.210451
0.6587	2.210067
0.660397	2.209685
0.662099	2.209306
0.663805	2.20893
0.665515	2.208555
0.667229	2.208183
0.668948	2.207813
0.670672	2.207445
0.6724	2.20708
0.674132	2.206717
0.675869	2.206356
0.67761	2.205997
0.679356	2.205641
0.681106	2.205286
0.682861	2.204934
0.68462	2.204584
0.686384	2.204235
0.688152	2.203889
0.689925	2.203546
0.691703	2.203204
0.693485	2.202864
0.695271	2.202526
0.697063	2.20219
0.698859	2.201856
0.700659	2.201525
0.702464	2.201195
0.704274	2.200867
0.706088	2.200541
0.707908	2.200217
0.709731	2.199895
0.71156	2.199574
0.713393	2.199256
0.715231	2.198939
0.717074	2.198625
0.718921	2.198312
0.720773	2.198001
0.72263	2.197692
0.724492	2.197384
0.726359	2.197079
0.72823	2.196775
0.730106	2.196473
0.731987	2.196173
0.733873	2.195874
0.735764	2.195577
0.737659	2.195282
0.73956	2.194989
0.741465	2.194697
0.743375	2.194407
0.745291	2.194118
0.747211	2.193831
0.749136	2.193546
0.751066	2.193263
0.753001	2.192981
0.754941	2.1927
0.756886	2.192422
0.758836	2.192144
0.760791	2.191869
0.762751	2.191595
0.764716	2.191322
0.766686	2.191051
0.768661	2.190782
0.770642	2.190514
0.772627	2.190247
0.774618	2.189982
0.776613	2.189719
0.778614	2.189457
0.78062	2.189196
0.782631	2.188937
0.784648	2.188679
0.786669	2.188423
0.788696	2.188168
0.790728	2.187914
0.792765	2.187662
0.794807	2.187412
0.796855	2.187162
0.798908	2.186914
0.800966	2.186668
0.80303	2.186422
0.805099	2.186178
0.807173	2.185936
0.809253	2.185695
0.811338	2.185455
0.813428	2.185216
0.815523	2.184978
0.817625	2.184742
0.819731	2.184507
0.821843	2.184274
0.82396	2.184041
0.826083	2.18381
0.828211	2.18358
0.830345	2.183352
0.832484	2.183124
0.834629	2.182898
0.836779	2.182673
0.838935	2.182449
0.841097	2.182226
0.843264	2.182005
0.845436	2.181784
0.847614	2.181565
0.849798	2.181347
0.851987	2.18113
0.854182	2.180914
0.856383	2.1807
0.858589	2.180486
0.860801	2.180274
0.863019	2.180062
0.865243	2.179852
0.867472	2.179643
0.869707	2.179435
0.871947	2.179228
0.874194	2.179022
0.876446	2.178817
0.878704	2.178613
0.880968	2.17841
0.883237	2.178208
0.885513	2.178007
0.887794	2.177808
0.890082	2.177609
0.892375	2.177411
0.894674	2.177214
0.896979	2.177018
0.89929	2.176823
0.901607	2.17663
0.90393	2.176437
0.906258	2.176245
0.908593	2.176054
0.910934	2.175864
0.913281	2.175675
0.915634	2.175486
0.917993	2.175299
0.920358	2.175113
0.922729	2.174927
0.925106	2.174743
0.92749	2.174559
0.929879	2.174377
0.932275	2.174195
0.934677	2.174014
0.937085	2.173834
0.939499	2.173654
0.94192	2.173476
0.944346	2.173298
0.946779	2.173122
0.949218	2.172946
0.951664	2.172771
0.954116	2.172597
0.956574	2.172423
0.959038	2.172251
0.961509	2.172079
0.963986	2.171908
0.96647	2.171738
0.96896	2.171569
0.971456	2.1714
0.973959	2.171232
0.976468	2.171065
0.978984	2.170899
0.981506	2.170734
0.984035	2.170569
0.98657	2.170405
0.989112	2.170242
0.99166	2.170079
0.994215	2.169917
0.996776	2.169756
0.999344	2.169596
1.00192	2.169437
1.0045	2.169278
1.00709	2.169119
1.00968	2.168962
1.01228	2.168805
1.01489	2.168649
1.01751	2.168494
1.02013	2.168339
1.02276	2.168185
1.02539	2.168032
1.02803	2.167879
1.03068	2.167727
1.03334	2.167576
1.036	2.167425
1.03867	2.167275
1.04134	2.167126
1.04403	2.166977
1.04672	2.166829
1.04941	2.166681
1.05212	2.166534
1.05483	2.166388
1.05755	2.166242
1.06027	2.166097
1.063	2.165953
1.06574	2.165809
1.06849	2.165665
1.07124	2.165523
1.074	2.165381
1.07677	2.165239
1.07954	2.165098
1.08232	2.164958
1.08511	2.164818
1.08791	2.164679
1.09071	2.16454
1.09352	2.164402
1.09634	2.164264
1.09916	2.164127
1.10199	2.163991
1.10483	2.163855
1.10768	2.163719
1.11053	2.163584
1.11339	2.16345
1.11626	2.163316
1.11914	2.163182
1.12202	2.16305
1.12491	2.162917
1.12781	2.162785
1.13071	2.162654
1.13363	2.162523
1.13655	2.162393
1.13948	2.162263
1.14241	2.162133
1.14536	2.162004
1.14831	2.161876
1.15126	2.161748
1.15423	2.16162
1.1572	2.161493
1.16019	2.161366
1.16317	2.16124
1.16617	2.161114
1.16918	2.160989
1.17219	2.160864
1.17521	2.16074
1.17824	2.160616
1.18127	2.160492
1.18431	2.160369
1.18737	2.160246
1.19042	2.160124
1.19349	2.160002
1.19657	2.15988
1.19965	2.159759
1.20274	2.159639
1.20584	2.159518
1.20895	2.159398
1.21206	2.159279
1.21518	2.15916
1.21831	2.159041
1.22145	2.158923
1.2246	2.158805
1.22775	2.158687
1.23092	2.15857
1.23409	2.158453
1.23727	2.158336
1.24046	2.15822
1.24365	2.158104
1.24686	2.157989
1.25007	2.157874
1.25329	2.157759
1.25652	2.157644
1.25975	2.15753
1.263	2.157416
1.26625	2.157303
1.26952	2.15719
1.27279	2.157077
1.27607	2.156965
1.27935	2.156852
1.28265	2.156741
1.28595	2.156629
1.28927	2.156518
1.29259	2.156407
1.29592	2.156296
1.29926	2.156186
1.30261	2.156076
1.30596	2.155966
1.30933	2.155856
1.3127	2.155747
1.31608	2.155638
1.31947	2.15553
1.32287	2.155421
1.32628	2.155313
1.3297	2.155205
1.33312	2.155098
1.33656	2.15499
1.34	2.154883

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