Optical constants

Refractive index of RbTiOPO₄ (Rubidium titanyl phosphate, RTP)

Carvajal et al. 2007: n(β) 0.4–1.5 µm

Data: formula 4
Range: 0.4–1.5 µm
Temperature: 293 K
Optical axis: beta
Licence: CC0-1.0

Biaxial crystal, axes: beta

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.81077
Extinction coefficient k: 0

Permittivity ε₁: 3.27889
Permittivity ε₂: 0

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

Abbe number V_d: 23.445
Chromatic dispersion dn/dλ: -0.172612 µm⁻¹

Group index n_g: 1.9122
Group velocity dispersion: 363.702 fs²/mm

Dispersion parameter D: -1984.19 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

# RbTiOPO4 (Rubidium titanyl phosphate, RTP): Carvajal et al. 2007: n(β) 0.4–1.5 µm
rbtiopo4 = ls.fetch_refractiveindex("main", "RbTiOPO4", "Carvajal-β", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(rbtiopo4.range_nm)  # (400, 1500) nm
eps = 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_a5103d8e70e5/lightsmith"
rbtiopo4 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(rbtiopo4.source)  # citation and provenance travel with the data

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

# ... load rbtiopo4 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=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} = 2.036 + \frac{1.0883 λ^{2.0}}{λ^{2} - {0.0437}^{1.0}} - 0.009 λ^{2.0}

Valid from 0.4 to 1.5 µm.

Coefficients as stored

C_i	Value
C1	2.036
C2	1.0883
C3	2.0
C4	0.0437
C5	1.0
C6	0.0
C7	0.0
C8	0.0
C9	1.0
C10	-0.009
C11	2.0

Comments and conditions

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

RbTiOPO4 (Rubidium titanyl phosphate, RTP), Carvajal et al. 2007: n(β) 0.4–1.5 µm: n and k versus wavelength
λ (µm)	n
0.4	1.879306
0.401327	1.878317
0.402659	1.877339
0.403995	1.876372
0.405336	1.875415
0.406681	1.874469
0.40803	1.873532
0.409384	1.872606
0.410742	1.87169
0.412105	1.870783
0.413473	1.869886
0.414845	1.868999
0.416221	1.868121
0.417602	1.867252
0.418988	1.866392
0.420378	1.865542
0.421773	1.8647
0.423173	1.863867
0.424577	1.863042
0.425985	1.862226
0.427399	1.861419
0.428817	1.860619
0.43024	1.859828
0.431668	1.859045
0.4331	1.85827
0.434537	1.857502
0.435979	1.856743
0.437426	1.855991
0.438877	1.855246
0.440333	1.854509
0.441794	1.85378
0.44326	1.853057
0.444731	1.852342
0.446207	1.851634
0.447687	1.850933
0.449173	1.850238
0.450663	1.849551
0.452159	1.84887
0.453659	1.848196
0.455164	1.847528
0.456675	1.846867
0.45819	1.846212
0.45971	1.845563
0.461236	1.844921
0.462766	1.844285
0.464302	1.843655
0.465842	1.843031
0.467388	1.842413
0.468939	1.8418
0.470495	1.841194
0.472056	1.840593
0.473623	1.839998
0.475194	1.839408
0.476771	1.838824
0.478353	1.838245
0.47994	1.837672
0.481533	1.837104
0.483131	1.836541
0.484734	1.835984
0.486342	1.835431
0.487956	1.834884
0.489575	1.834342
0.491199	1.833804
0.492829	1.833272
0.494465	1.832744
0.496105	1.832221
0.497751	1.831703
0.499403	1.83119
0.50106	1.830681
0.502723	1.830177
0.504391	1.829677
0.506065	1.829181
0.507744	1.828691
0.509429	1.828204
0.511119	1.827722
0.512815	1.827244
0.514516	1.82677
0.516224	1.8263
0.517937	1.825835
0.519655	1.825374
0.52138	1.824916
0.52311	1.824463
0.524845	1.824013
0.526587	1.823568
0.528334	1.823126
0.530087	1.822689
0.531846	1.822254
0.533611	1.821824
0.535382	1.821397
0.537158	1.820975
0.53894	1.820555
0.540729	1.820139
0.542523	1.819727
0.544323	1.819318
0.546129	1.818913
0.547941	1.818511
0.54976	1.818113
0.551584	1.817718
0.553414	1.817326
0.55525	1.816937
0.557093	1.816552
0.558941	1.81617
0.560796	1.815791
0.562657	1.815416
0.564524	1.815043
0.566397	1.814673
0.568276	1.814307
0.570162	1.813943
0.572054	1.813583
0.573952	1.813226
0.575856	1.812871
0.577767	1.812519
0.579684	1.812171
0.581608	1.811825
0.583538	1.811481
0.585474	1.811141
0.587417	1.810803
0.589366	1.810469
0.591321	1.810136
0.593284	1.809807
0.595252	1.80948
0.597227	1.809156
0.599209	1.808834
0.601197	1.808515
0.603192	1.808198
0.605194	1.807884
0.607202	1.807573
0.609217	1.807264
0.611238	1.806957
0.613266	1.806653
0.615301	1.806351
0.617343	1.806051
0.619391	1.805754
0.621447	1.805459
0.623509	1.805167
0.625577	1.804877
0.627653	1.804589
0.629736	1.804303
0.631825	1.804019
0.633922	1.803738
0.636025	1.803459
0.638136	1.803182
0.640253	1.802907
0.642378	1.802634
0.644509	1.802363
0.646648	1.802095
0.648794	1.801828
0.650946	1.801563
0.653106	1.801301
0.655273	1.80104
0.657448	1.800782
0.659629	1.800525
0.661818	1.80027
0.664014	1.800017
0.666217	1.799766
0.668428	1.799517
0.670646	1.79927
0.672871	1.799025
0.675104	1.798781
0.677344	1.798539
0.679592	1.798299
0.681847	1.798061
0.684109	1.797825
0.686379	1.79759
0.688657	1.797357
0.690942	1.797126
0.693234	1.796896
0.695535	1.796668
0.697842	1.796442
0.700158	1.796218
0.702481	1.795995
0.704812	1.795773
0.707151	1.795553
0.709497	1.795335
0.711852	1.795119
0.714214	1.794904
0.716583	1.79469
0.718961	1.794478
0.721347	1.794267
0.72374	1.794058
0.726142	1.793851
0.728551	1.793645
0.730969	1.79344
0.733394	1.793237
0.735828	1.793035
0.738269	1.792835
0.740719	1.792636
0.743177	1.792439
0.745643	1.792242
0.748117	1.792048
0.750599	1.791854
0.75309	1.791662
0.755589	1.791471
0.758096	1.791282
0.760612	1.791094
0.763135	1.790907
0.765668	1.790721
0.768208	1.790537
0.770757	1.790354
0.773315	1.790172
0.775881	1.789991
0.778455	1.789812
0.781038	1.789634
0.78363	1.789457
0.78623	1.789281
0.788839	1.789106
0.791456	1.788933
0.794083	1.78876
0.796718	1.788589
0.799361	1.788419
0.802014	1.78825
0.804675	1.788082
0.807345	1.787915
0.810024	1.78775
0.812712	1.787585
0.815408	1.787422
0.818114	1.787259
0.820829	1.787098
0.823552	1.786938
0.826285	1.786778
0.829027	1.78662
0.831777	1.786463
0.834537	1.786306
0.837307	1.786151
0.840085	1.785997
0.842872	1.785843
0.845669	1.785691
0.848475	1.78554
0.851291	1.785389
0.854115	1.78524
0.856949	1.785091
0.859793	1.784943
0.862646	1.784797
0.865508	1.784651
0.86838	1.784506
0.871262	1.784362
0.874153	1.784219
0.877053	1.784076
0.879963	1.783935
0.882883	1.783794
0.885813	1.783654
0.888752	1.783515
0.891701	1.783377
0.89466	1.78324
0.897629	1.783104
0.900607	1.782968
0.903595	1.782833
0.906594	1.782699
0.909602	1.782566
0.91262	1.782433
0.915648	1.782301
0.918687	1.78217
0.921735	1.78204
0.924793	1.781911
0.927862	1.781782
0.930941	1.781654
0.93403	1.781527
0.937129	1.7814
0.940239	1.781274
0.943359	1.781149
0.946489	1.781025
0.949629	1.780901
0.95278	1.780778
0.955942	1.780655
0.959114	1.780533
0.962296	1.780412
0.965489	1.780292
0.968693	1.780172
0.971907	1.780053
0.975132	1.779934
0.978368	1.779817
0.981614	1.779699
0.984871	1.779583
0.988139	1.779467
0.991418	1.779351
0.994708	1.779236
0.998009	1.779122
1.00132	1.779008
1.00464	1.778895
1.00798	1.778783
1.01132	1.778671
1.01468	1.77856
1.01804	1.778449
1.02142	1.778339
1.02481	1.778229
1.02821	1.77812
1.03162	1.778011
1.03505	1.777903
1.03848	1.777795
1.04193	1.777688
1.04538	1.777582
1.04885	1.777475
1.05233	1.77737
1.05582	1.777265
1.05933	1.77716
1.06284	1.777056
1.06637	1.776952
1.06991	1.776849
1.07346	1.776747
1.07702	1.776644
1.08059	1.776543
1.08418	1.776441
1.08778	1.77634
1.09139	1.77624
1.09501	1.77614
1.09864	1.77604
1.10229	1.775941
1.10594	1.775842
1.10961	1.775744
1.1133	1.775646
1.11699	1.775549
1.1207	1.775451
1.12441	1.775355
1.12815	1.775258
1.13189	1.775162
1.13564	1.775067
1.13941	1.774972
1.14319	1.774877
1.14699	1.774782
1.15079	1.774688
1.15461	1.774594
1.15844	1.774501
1.16229	1.774408
1.16614	1.774315
1.17001	1.774223
1.1739	1.774131
1.17779	1.774039
1.1817	1.773948
1.18562	1.773857
1.18955	1.773766
1.1935	1.773675
1.19746	1.773585
1.20143	1.773495
1.20542	1.773406
1.20942	1.773316
1.21343	1.773228
1.21746	1.773139
1.2215	1.77305
1.22555	1.772962
1.22962	1.772874
1.2337	1.772787
1.23779	1.772699
1.2419	1.772612
1.24602	1.772525
1.25016	1.772439
1.2543	1.772352
1.25847	1.772266
1.26264	1.77218
1.26683	1.772095
1.27104	1.772009
1.27525	1.771924
1.27948	1.771839
1.28373	1.771754
1.28799	1.77167
1.29226	1.771585
1.29655	1.771501
1.30085	1.771417
1.30517	1.771334
1.3095	1.77125
1.31385	1.771167
1.3182	1.771083
1.32258	1.771
1.32697	1.770918
1.33137	1.770835
1.33579	1.770752
1.34022	1.77067
1.34467	1.770588
1.34913	1.770506
1.35361	1.770424
1.3581	1.770342
1.3626	1.77026
1.36713	1.770179
1.37166	1.770098
1.37621	1.770016
1.38078	1.769935
1.38536	1.769854
1.38996	1.769774
1.39457	1.769693
1.3992	1.769612
1.40384	1.769532
1.4085	1.769451
1.41317	1.769371
1.41786	1.769291
1.42257	1.769211
1.42729	1.769131
1.43202	1.769051
1.43677	1.768971
1.44154	1.768891
1.44632	1.768811
1.45112	1.768732
1.45594	1.768652
1.46077	1.768573
1.46562	1.768493
1.47048	1.768414
1.47536	1.768334
1.48026	1.768255
1.48517	1.768176
1.49009	1.768097
1.49504	1.768017
1.5	1.767938

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: —

RbTiOPO₄ (Rubidium titanyl phosphate, RTP): all datasets

About RbTiOPO4 (Rubidium titanyl phosphate, RTP)

Rubidium titanyl phosphate (RbTiOPO₄ or RTP) is a nonlinear optical material with a wide range of applications in optics and photonics. It possesses desirable properties such as a high damage threshold, a broad transparency range, and a phase matching capability. RTP crystals are employed in various laser systems for the purpose of frequency conversion, like second harmonic generation (SHG) and parametric oscillation. Additionally, RTP's quick response time makes it an attractive choice for applications like optical waveguides and modulators. Due to these properties, it's a valuable crystal in both research and industrial applications related to laser technology and photonics.

More about RbTiOPO4 (Rubidium titanyl phosphate, RTP) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/RbTiOPO4/nk/Carvajal-beta.yml
ID: ds_a5103d8e70e5
API: /v1/datasets/ds_a5103d8e70e5

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