Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.84393
Extinction coefficient k: 0

Permittivity ε₁: 3.40007
Permittivity ε₂: 0

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

Abbe number V_d: 22.947
Chromatic dispersion dn/dλ: -0.186629 µm⁻¹

Group index n_g: 1.95359
Group velocity dispersion: 367.374 fs²/mm

Dispersion parameter D: -2004.22 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

# Nb:RbTiOPO4 (Niobium-doped rubidium titanyl phosphate, Nb:RTP): Carvajal et al. 2007: n(β) 0.4–1.5 µm
nb_rbtiopo4 = ls.fetch_refractiveindex("other", "Nb-RbTiOPO4", "Carvajal-β", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(nb_rbtiopo4.range_nm)  # (400, 1500) nm
eps = nb_rbtiopo4.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_219c2f8c28df/lightsmith"
nb_rbtiopo4 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(nb_rbtiopo4.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (nb-rbtiopo4/carvajal-2007-2).

# ... load nb_rbtiopo4 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=nb_rbtiopo4)],
    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.

Dispersion formula

RefractiveIndex.INFO (formula 4), λ in µm

n^{2} = 1.132 + \frac{2.0885 λ^{2.0}}{λ^{2} - {0.0278}^{1.0}} - 0.0096 λ^{2.0}

Valid from 0.4 to 1.5 µm.

Coefficients as stored

C_i	Value
C1	1.132
C2	2.0885
C3	2.0
C4	0.0278
C5	1.0
C6	0.0
C7	0.0
C8	0.0
C9	1.0
C10	-0.0096
C11	2.0

Comments and conditions

Rb_0.955Ti_0.955Nb_0.045OPO₄; n_β; 293 K (20 °C).

Conditions

temperature: 293 K
direction: beta

References

J. J. Carvajal, P. Segonds, A. Peña, J. Zaccaro, B. Boulanger, F. Díaz and M. Aguiló. Structural and optical properties of RbTiOPO₄:Nb crystals. J. Phys. Condens. Matter. 19, 116214, 2007

doi:10.1088/0953-8984/19/11/116214 Structural and optical properties of RbTiOPO<sub>4</sub>:Nb crystals, Journal of Physics: Condensed Matter (2007)

Cite

J J Carvajal et al.. Structural and optical properties of RbTiOPO<sub>4</sub>:Nb crystals. Journal of Physics: Condensed Matter, 19, 116214 (2007), doi:10.1088/0953-8984/19/11/116214; 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

Nb:RbTiOPO4 (Niobium-doped rubidium titanyl phosphate, Nb:RTP), Carvajal et al. 2007: n(β) 0.4–1.5 µm: n and k versus wavelength
λ (µm)	n
0.4	1.912629
0.401327	1.91171
0.402659	1.910799
0.403995	1.909896
0.405336	1.909
0.406681	1.908113
0.40803	1.907234
0.409384	1.906362
0.410742	1.905498
0.412105	1.904641
0.413473	1.903792
0.414845	1.90295
0.416221	1.902115
0.417602	1.901288
0.418988	1.900467
0.420378	1.899654
0.421773	1.898848
0.423173	1.898048
0.424577	1.897256
0.425985	1.89647
0.427399	1.895691
0.428817	1.894918
0.43024	1.894152
0.431668	1.893393
0.4331	1.89264
0.434537	1.891893
0.435979	1.891153
0.437426	1.890419
0.438877	1.889691
0.440333	1.888969
0.441794	1.888253
0.44326	1.887543
0.444731	1.886839
0.446207	1.886141
0.447687	1.885448
0.449173	1.884762
0.450663	1.884081
0.452159	1.883405
0.453659	1.882736
0.455164	1.882071
0.456675	1.881413
0.45819	1.880759
0.45971	1.880111
0.461236	1.879468
0.462766	1.878831
0.464302	1.878199
0.465842	1.877571
0.467388	1.876949
0.468939	1.876332
0.470495	1.87572
0.472056	1.875113
0.473623	1.874511
0.475194	1.873914
0.476771	1.873321
0.478353	1.872733
0.47994	1.87215
0.481533	1.871572
0.483131	1.870998
0.484734	1.870429
0.486342	1.869864
0.487956	1.869304
0.489575	1.868748
0.491199	1.868197
0.492829	1.86765
0.494465	1.867107
0.496105	1.866568
0.497751	1.866034
0.499403	1.865504
0.50106	1.864979
0.502723	1.864457
0.504391	1.863939
0.506065	1.863426
0.507744	1.862916
0.509429	1.862411
0.511119	1.861909
0.512815	1.861411
0.514516	1.860918
0.516224	1.860428
0.517937	1.859941
0.519655	1.859459
0.52138	1.85898
0.52311	1.858505
0.524845	1.858034
0.526587	1.857566
0.528334	1.857102
0.530087	1.856641
0.531846	1.856184
0.533611	1.85573
0.535382	1.85528
0.537158	1.854833
0.53894	1.85439
0.540729	1.85395
0.542523	1.853513
0.544323	1.85308
0.546129	1.85265
0.547941	1.852223
0.54976	1.851799
0.551584	1.851379
0.553414	1.850962
0.55525	1.850548
0.557093	1.850137
0.558941	1.849729
0.560796	1.849324
0.562657	1.848922
0.564524	1.848523
0.566397	1.848127
0.568276	1.847734
0.570162	1.847344
0.572054	1.846957
0.573952	1.846573
0.575856	1.846192
0.577767	1.845813
0.579684	1.845437
0.581608	1.845064
0.583538	1.844694
0.585474	1.844326
0.587417	1.843961
0.589366	1.843599
0.591321	1.84324
0.593284	1.842883
0.595252	1.842528
0.597227	1.842177
0.599209	1.841828
0.601197	1.841481
0.603192	1.841137
0.605194	1.840795
0.607202	1.840456
0.609217	1.840119
0.611238	1.839785
0.613266	1.839453
0.615301	1.839124
0.617343	1.838797
0.619391	1.838472
0.621447	1.838149
0.623509	1.837829
0.625577	1.837511
0.627653	1.837196
0.629736	1.836882
0.631825	1.836571
0.633922	1.836262
0.636025	1.835956
0.638136	1.835651
0.640253	1.835349
0.642378	1.835049
0.644509	1.834751
0.646648	1.834455
0.648794	1.834161
0.650946	1.833869
0.653106	1.833579
0.655273	1.833291
0.657448	1.833005
0.659629	1.832722
0.661818	1.83244
0.664014	1.83216
0.666217	1.831882
0.668428	1.831606
0.670646	1.831332
0.672871	1.83106
0.675104	1.83079
0.677344	1.830521
0.679592	1.830255
0.681847	1.82999
0.684109	1.829727
0.686379	1.829466
0.688657	1.829207
0.690942	1.828949
0.693234	1.828693
0.695535	1.828439
0.697842	1.828187
0.700158	1.827936
0.702481	1.827687
0.704812	1.82744
0.707151	1.827195
0.709497	1.826951
0.711852	1.826708
0.714214	1.826468
0.716583	1.826229
0.718961	1.825991
0.721347	1.825756
0.72374	1.825521
0.726142	1.825289
0.728551	1.825058
0.730969	1.824828
0.733394	1.8246
0.735828	1.824373
0.738269	1.824148
0.740719	1.823925
0.743177	1.823703
0.745643	1.823482
0.748117	1.823263
0.750599	1.823045
0.75309	1.822829
0.755589	1.822614
0.758096	1.8224
0.760612	1.822188
0.763135	1.821978
0.765668	1.821768
0.768208	1.82156
0.770757	1.821354
0.773315	1.821148
0.775881	1.820944
0.778455	1.820741
0.781038	1.82054
0.78363	1.82034
0.78623	1.820141
0.788839	1.819943
0.791456	1.819747
0.794083	1.819552
0.796718	1.819358
0.799361	1.819166
0.802014	1.818974
0.804675	1.818784
0.807345	1.818595
0.810024	1.818407
0.812712	1.81822
0.815408	1.818035
0.818114	1.81785
0.820829	1.817667
0.823552	1.817485
0.826285	1.817304
0.829027	1.817124
0.831777	1.816946
0.834537	1.816768
0.837307	1.816591
0.840085	1.816416
0.842872	1.816242
0.845669	1.816068
0.848475	1.815896
0.851291	1.815725
0.854115	1.815554
0.856949	1.815385
0.859793	1.815217
0.862646	1.81505
0.865508	1.814883
0.86838	1.814718
0.871262	1.814554
0.874153	1.814391
0.877053	1.814228
0.879963	1.814067
0.882883	1.813907
0.885813	1.813747
0.888752	1.813589
0.891701	1.813431
0.89466	1.813274
0.897629	1.813118
0.900607	1.812964
0.903595	1.81281
0.906594	1.812656
0.909602	1.812504
0.91262	1.812353
0.915648	1.812202
0.918687	1.812052
0.921735	1.811904
0.924793	1.811756
0.927862	1.811608
0.930941	1.811462
0.93403	1.811316
0.937129	1.811172
0.940239	1.811028
0.943359	1.810884
0.946489	1.810742
0.949629	1.8106
0.95278	1.810459
0.955942	1.810319
0.959114	1.81018
0.962296	1.810041
0.965489	1.809904
0.968693	1.809766
0.971907	1.80963
0.975132	1.809494
0.978368	1.809359
0.981614	1.809225
0.984871	1.809092
0.988139	1.808959
0.991418	1.808826
0.994708	1.808695
0.998009	1.808564
1.00132	1.808434
1.00464	1.808304
1.00798	1.808176
1.01132	1.808047
1.01468	1.80792
1.01804	1.807793
1.02142	1.807667
1.02481	1.807541
1.02821	1.807416
1.03162	1.807291
1.03505	1.807167
1.03848	1.807044
1.04193	1.806922
1.04538	1.806799
1.04885	1.806678
1.05233	1.806557
1.05582	1.806437
1.05933	1.806317
1.06284	1.806198
1.06637	1.806079
1.06991	1.805961
1.07346	1.805843
1.07702	1.805726
1.08059	1.805609
1.08418	1.805493
1.08778	1.805378
1.09139	1.805263
1.09501	1.805148
1.09864	1.805034
1.10229	1.804921
1.10594	1.804808
1.10961	1.804695
1.1133	1.804583
1.11699	1.804472
1.1207	1.804361
1.12441	1.80425
1.12815	1.80414
1.13189	1.80403
1.13564	1.803921
1.13941	1.803812
1.14319	1.803703
1.14699	1.803595
1.15079	1.803488
1.15461	1.803381
1.15844	1.803274
1.16229	1.803167
1.16614	1.803062
1.17001	1.802956
1.1739	1.802851
1.17779	1.802746
1.1817	1.802642
1.18562	1.802538
1.18955	1.802434
1.1935	1.802331
1.19746	1.802228
1.20143	1.802125
1.20542	1.802023
1.20942	1.801922
1.21343	1.80182
1.21746	1.801719
1.2215	1.801618
1.22555	1.801518
1.22962	1.801417
1.2337	1.801318
1.23779	1.801218
1.2419	1.801119
1.24602	1.80102
1.25016	1.800922
1.2543	1.800823
1.25847	1.800725
1.26264	1.800628
1.26683	1.80053
1.27104	1.800433
1.27525	1.800336
1.27948	1.80024
1.28373	1.800143
1.28799	1.800047
1.29226	1.799951
1.29655	1.799856
1.30085	1.799761
1.30517	1.799665
1.3095	1.799571
1.31385	1.799476
1.3182	1.799382
1.32258	1.799288
1.32697	1.799194
1.33137	1.7991
1.33579	1.799007
1.34022	1.798913
1.34467	1.79882
1.34913	1.798727
1.35361	1.798635
1.3581	1.798542
1.3626	1.79845
1.36713	1.798358
1.37166	1.798266
1.37621	1.798174
1.38078	1.798083
1.38536	1.797991
1.38996	1.7979
1.39457	1.797809
1.3992	1.797718
1.40384	1.797627
1.4085	1.797536
1.41317	1.797446
1.41786	1.797355
1.42257	1.797265
1.42729	1.797175
1.43202	1.797085
1.43677	1.796995
1.44154	1.796906
1.44632	1.796816
1.45112	1.796726
1.45594	1.796637
1.46077	1.796548
1.46562	1.796458
1.47048	1.796369
1.47536	1.79628
1.48026	1.796191
1.48517	1.796102
1.49009	1.796014
1.49504	1.795925
1.5	1.795836

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