Optical constants

Refractive index of BiB₃O₆ (Bismuth triborate, BiBO)

Umemura et al. 2007: n(γ) 0.48–3.1 µm

Data: formula 4
Range: 0.48–3.1 µm
Temperature: 293 K
Optical axis: gamma
Licence: CC0-1.0

Biaxial crystal, axes: gamma

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.95259
Extinction coefficient k: 0

Permittivity ε₁: 3.81259
Permittivity ε₂: 0

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

Abbe number V_d: 28.469
Chromatic dispersion dn/dλ: -0.168819 µm⁻¹

Group index n_g: 2.05178
Group velocity dispersion: 335.521 fs²/mm

Dispersion parameter D: -1830.44 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

# BiB3O6 (Bismuth triborate, BiBO): Umemura et al. 2007: n(γ) 0.48–3.1 µm
bib3o6 = ls.fetch_refractiveindex("main", "BiB3O6", "Umemura-γ", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(bib3o6.range_nm)  # (480, 3100) nm
eps = bib3o6.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_ccc6b9262023/lightsmith"
bib3o6 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(bib3o6.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (bib3o6/umemura-2007-3).

# ... load bib3o6 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=bib3o6)],
    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} = 3.6545 + \frac{0.05112 λ^{0.0}}{λ^{2} - {0.03713}^{1.0}} - 0.02261 λ^{2.0}

Valid from 0.48 to 3.1 µm.

Coefficients as stored

C_i	Value
C1	3.6545
C2	0.05112
C3	0.0
C4	0.03713
C5	1.0
C6	0.0
C7	0.0
C8	0.0
C9	1.0
C10	-0.02261
C11	2.0

Comments and conditions

n_γ; 20 °C.

Conditions

temperature: 293 K
direction: gamma

References

N. Umemura, K. Miyata, and K. Kato. New data on the optical properties of BiB₃O₆, Opt. Mat. 30, 532-534 (2007)

doi:10.1016/j.optmat.2006.12.014 New data on the optical properties of BiB3O6, Optical Materials (2007)

Cite

Nobuhiro Umemura, Kentaro Miyata and Kiyoshi Kato. New data on the optical properties of BiB3O6. Optical Materials, 30, 532-534 (2007), doi:10.1016/j.optmat.2006.12.014; 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

BiB3O6 (Bismuth triborate, BiBO), Umemura et al. 2007: n(γ) 0.48–3.1 µm: n and k versus wavelength
λ (µm)	n
0.48	1.97833
0.482249	1.977578
0.484509	1.976834
0.48678	1.976099
0.489061	1.975373
0.491352	1.974656
0.493655	1.973947
0.495968	1.973247
0.498292	1.972555
0.500627	1.971871
0.502973	1.971195
0.50533	1.970527
0.507698	1.969867
0.510077	1.969214
0.512468	1.968569
0.514869	1.967932
0.517282	1.967302
0.519706	1.966679
0.522141	1.966063
0.524588	1.965454
0.527046	1.964853
0.529516	1.964258
0.531997	1.963669
0.53449	1.963088
0.536995	1.962513
0.539511	1.961944
0.54204	1.961382
0.54458	1.960826
0.547132	1.960276
0.549695	1.959732
0.552271	1.959194
0.554859	1.958662
0.557459	1.958135
0.560072	1.957615
0.562696	1.9571
0.565333	1.956591
0.567982	1.956087
0.570644	1.955589
0.573318	1.955096
0.576005	1.954608
0.578704	1.954125
0.581416	1.953648
0.58414	1.953175
0.586877	1.952708
0.589628	1.952245
0.592391	1.951787
0.595167	1.951334
0.597956	1.950886
0.600758	1.950442
0.603573	1.950003
0.606401	1.949568
0.609243	1.949138
0.612098	1.948712
0.614966	1.948291
0.617848	1.947874
0.620743	1.947461
0.623652	1.947052
0.626575	1.946647
0.629511	1.946246
0.632461	1.945849
0.635424	1.945457
0.638402	1.945068
0.641394	1.944682
0.644399	1.944301
0.647419	1.943923
0.650453	1.943549
0.653501	1.943179
0.656563	1.942812
0.65964	1.942448
0.662731	1.942088
0.665837	1.941732
0.668957	1.941379
0.672091	1.941029
0.675241	1.940682
0.678405	1.940339
0.681584	1.939999
0.684778	1.939662
0.687987	1.939328
0.691211	1.938997
0.69445	1.938669
0.697704	1.938344
0.700974	1.938023
0.704259	1.937703
0.707559	1.937387
0.710874	1.937074
0.714206	1.936763
0.717552	1.936455
0.720915	1.93615
0.724293	1.935848
0.727687	1.935548
0.731097	1.935251
0.734523	1.934956
0.737965	1.934664
0.741423	1.934374
0.744898	1.934087
0.748388	1.933802
0.751895	1.933519
0.755419	1.933239
0.758959	1.932961
0.762515	1.932685
0.766089	1.932412
0.769678	1.932141
0.773285	1.931872
0.776909	1.931605
0.78055	1.93134
0.784207	1.931078
0.787882	1.930817
0.791574	1.930559
0.795283	1.930302
0.79901	1.930047
0.802754	1.929795
0.806516	1.929544
0.810296	1.929295
0.814093	1.929048
0.817908	1.928803
0.82174	1.92856
0.825591	1.928318
0.82946	1.928078
0.833347	1.92784
0.837252	1.927603
0.841175	1.927369
0.845117	1.927135
0.849077	1.926904
0.853056	1.926674
0.857054	1.926445
0.86107	1.926218
0.865105	1.925993
0.869159	1.925769
0.873232	1.925547
0.877324	1.925326
0.881435	1.925106
0.885565	1.924888
0.889715	1.924671
0.893884	1.924456
0.898073	1.924241
0.902282	1.924029
0.90651	1.923817
0.910758	1.923607
0.915026	1.923398
0.919314	1.92319
0.923621	1.922983
0.92795	1.922777
0.932298	1.922573
0.936667	1.92237
0.941056	1.922167
0.945466	1.921966
0.949897	1.921766
0.954348	1.921567
0.95882	1.921369
0.963313	1.921172
0.967827	1.920976
0.972362	1.920781
0.976919	1.920587
0.981497	1.920394
0.986096	1.920201
0.990717	1.92001
0.99536	1.919819
1.00002	1.91963
1.00471	1.919441
1.00942	1.919252
1.01415	1.919065
1.0189	1.918878
1.02368	1.918693
1.02847	1.918508
1.03329	1.918323
1.03813	1.918139
1.043	1.917956
1.04789	1.917774
1.0528	1.917592
1.05773	1.917411
1.06269	1.91723
1.06767	1.91705
1.07267	1.916871
1.0777	1.916692
1.08275	1.916514
1.08782	1.916336
1.09292	1.916158
1.09804	1.915982
1.10319	1.915805
1.10835	1.915629
1.11355	1.915454
1.11877	1.915278
1.12401	1.915104
1.12928	1.914929
1.13457	1.914755
1.13988	1.914582
1.14523	1.914408
1.15059	1.914235
1.15598	1.914062
1.1614	1.91389
1.16684	1.913717
1.17231	1.913545
1.17781	1.913374
1.18332	1.913202
1.18887	1.913031
1.19444	1.912859
1.20004	1.912688
1.20566	1.912517
1.21131	1.912347
1.21699	1.912176
1.22269	1.912005
1.22842	1.911835
1.23418	1.911664
1.23996	1.911494
1.24577	1.911323
1.25161	1.911153
1.25747	1.910983
1.26337	1.910812
1.26929	1.910642
1.27523	1.910471
1.28121	1.910301
1.28721	1.91013
1.29325	1.909959
1.29931	1.909788
1.30539	1.909617
1.31151	1.909446
1.31766	1.909275
1.32383	1.909103
1.33004	1.908932
1.33627	1.90876
1.34253	1.908588
1.34882	1.908415
1.35514	1.908243
1.36149	1.90807
1.36787	1.907897
1.37428	1.907723
1.38072	1.907549
1.38719	1.907375
1.39369	1.907201
1.40022	1.907026
1.40679	1.90685
1.41338	1.906675
1.42	1.906499
1.42666	1.906322
1.43334	1.906145
1.44006	1.905968
1.44681	1.90579
1.45359	1.905611
1.4604	1.905432
1.46724	1.905253
1.47412	1.905073
1.48102	1.904892
1.48796	1.904711
1.49494	1.904529
1.50194	1.904347
1.50898	1.904164
1.51605	1.90398
1.52316	1.903796
1.53029	1.903611
1.53746	1.903425
1.54467	1.903238
1.55191	1.903051
1.55918	1.902863
1.56649	1.902674
1.57383	1.902485
1.5812	1.902295
1.58861	1.902104
1.59606	1.901912
1.60354	1.901719
1.61105	1.901525
1.6186	1.901331
1.62618	1.901135
1.6338	1.900939
1.64146	1.900741
1.64915	1.900543
1.65688	1.900344
1.66464	1.900143
1.67245	1.899942
1.68028	1.89974
1.68816	1.899536
1.69607	1.899332
1.70402	1.899126
1.712	1.89892
1.72002	1.898712
1.72808	1.898503
1.73618	1.898293
1.74432	1.898082
1.75249	1.897869
1.7607	1.897656
1.76895	1.897441
1.77724	1.897225
1.78557	1.897007
1.79394	1.896788
1.80235	1.896568
1.81079	1.896347
1.81928	1.896124
1.8278	1.8959
1.83637	1.895674
1.84497	1.895447
1.85362	1.895219
1.8623	1.894989
1.87103	1.894758
1.8798	1.894525
1.88861	1.894291
1.89746	1.894055
1.90635	1.893817
1.91528	1.893578
1.92426	1.893337
1.93327	1.893095
1.94233	1.892851
1.95144	1.892605
1.96058	1.892358
1.96977	1.892109
1.979	1.891858
1.98827	1.891605
1.99759	1.891351
2.00695	1.891095
2.01636	1.890837
2.0258	1.890577
2.0353	1.890315
2.04483	1.890052
2.05442	1.889786
2.06404	1.889518
2.07372	1.889249
2.08343	1.888977
2.0932	1.888704
2.10301	1.888428
2.11286	1.88815
2.12276	1.887871
2.13271	1.887589
2.1427	1.887305
2.15274	1.887018
2.16283	1.88673
2.17297	1.886439
2.18315	1.886146
2.19338	1.885851
2.20366	1.885553
2.21398	1.885253
2.22436	1.884951
2.23478	1.884646
2.24526	1.884339
2.25578	1.88403
2.26635	1.883718
2.27697	1.883403
2.28764	1.883086
2.29836	1.882767
2.30913	1.882444
2.31995	1.882119
2.33082	1.881792
2.34174	1.881462
2.35272	1.881129
2.36374	1.880793
2.37482	1.880455
2.38595	1.880113
2.39713	1.879769
2.40836	1.879422
2.41965	1.879072
2.43098	1.87872
2.44238	1.878364
2.45382	1.878005
2.46532	1.877643
2.47687	1.877278
2.48848	1.87691
2.50014	1.876539
2.51186	1.876165
2.52363	1.875787
2.53545	1.875406
2.54733	1.875022
2.55927	1.874635
2.57126	1.874244
2.58331	1.87385
2.59542	1.873453
2.60758	1.873052
2.6198	1.872647
2.63208	1.872239
2.64441	1.871828
2.6568	1.871413
2.66925	1.870994
2.68176	1.870571
2.69433	1.870145
2.70695	1.869715
2.71964	1.869281
2.73238	1.868844
2.74519	1.868402
2.75805	1.867957
2.77098	1.867507
2.78396	1.867054
2.79701	1.866596
2.81011	1.866135
2.82328	1.865669
2.83651	1.865199
2.8498	1.864725
2.86316	1.864246
2.87657	1.863764
2.89005	1.863277
2.9036	1.862785
2.9172	1.862289
2.93087	1.861789
2.94461	1.861283
2.95841	1.860774
2.97227	1.860259
2.9862	1.85974
3.00019	1.859217
3.01425	1.858688
3.02838	1.858155
3.04257	1.857616
3.05682	1.857073
3.07115	1.856525
3.08554	1.855972
3.1	1.855413

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: —

BiB₃O₆ (Bismuth triborate, BiBO): all datasets

About BiB3O6 (Bismuth triborate, BiBO)

BiB₃O₆, commonly known as bismuth triborate or BiBO, is a nonlinear optical (NLO) crystal that has gained prominence for its exceptionally high damage threshold and broad phase-matching capabilities. It is frequently used in frequency doubling, tripling, and mixing applications in high-intensity laser systems, as well as in optical parametric oscillators (OPOs) and generators (OPGs). BiBO offers wide angular and spectral phase-matching conditions, allowing for flexibility in optical design. It also has a high nonlinear coefficient, which contributes to its efficiency in nonlinear frequency conversion processes. The crystal can be grown using the Czochralski method and offers superior thermal stability compared to many other NLO materials. One of its notable advantages is that it is non-hygroscopic, making it less sensitive to moisture and easier to handle. Although bismuth elements can be toxic, the stability of the BiBO compound under standard conditions limits risks associated with handling. Overall, BiBO stands out as one of the most promising nonlinear optical materials for high-power laser applications due to its remarkable properties and operational versatility.

Birefringence - Wikipedia

More about BiB3O6 (Bismuth triborate, BiBO) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/BiB3O6/nk/Umemura-gamma.yml
ID: ds_ccc6b9262023
API: /v1/datasets/ds_ccc6b9262023

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