Optical constants

Refractive index of BiB₃O₆ (Bismuth triborate, BiBO)

Umemura et al. 2007: n(α) 0.48–3.1 µm

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

Biaxial crystal, axes: alpha

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.78113
Extinction coefficient k: 0

Permittivity ε₁: 3.17243
Permittivity ε₂: 0

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

Abbe number V_d: 35.101
Chromatic dispersion dn/dλ: -0.112768 µm⁻¹

Group index n_g: 1.84739
Group velocity dispersion: 220.214 fs²/mm

Dispersion parameter D: -1201.39 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(α) 0.48–3.1 µm
bib3o6 = ls.fetch_refractiveindex("main", "BiB3O6", "Umemura-α", 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_29f885e5db51/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).

# ... 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} = 3.07403 + \frac{0.03231 λ^{0.0}}{λ^{2} - {0.03163}^{1.0}} - 0.013376 λ^{2.0}

Valid from 0.48 to 3.1 µm.

Coefficients as stored

C_i	Value
C1	3.07403
C2	0.03231
C3	0.0
C4	0.03163
C5	1.0
C6	0.0
C7	0.0
C8	0.0
C9	1.0
C10	-0.013376
C11	2.0

Comments and conditions

n_α; 20 °C.

Conditions

temperature: 293 K
direction: alpha

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(α) 0.48–3.1 µm: n and k versus wavelength
λ (µm)	n
0.48	1.798193
0.482249	1.797698
0.484509	1.797209
0.48678	1.796725
0.489061	1.796247
0.491352	1.795775
0.493655	1.795308
0.495968	1.794846
0.498292	1.794389
0.500627	1.793938
0.502973	1.793492
0.50533	1.793051
0.507698	1.792614
0.510077	1.792183
0.512468	1.791757
0.514869	1.791335
0.517282	1.790918
0.519706	1.790505
0.522141	1.790097
0.524588	1.789694
0.527046	1.789295
0.529516	1.788901
0.531997	1.78851
0.53449	1.788124
0.536995	1.787742
0.539511	1.787365
0.54204	1.786991
0.54458	1.786622
0.547132	1.786256
0.549695	1.785894
0.552271	1.785536
0.554859	1.785182
0.557459	1.784832
0.560072	1.784485
0.562696	1.784142
0.565333	1.783803
0.567982	1.783467
0.570644	1.783135
0.573318	1.782806
0.576005	1.782481
0.578704	1.782159
0.581416	1.78184
0.58414	1.781525
0.586877	1.781212
0.589628	1.780903
0.592391	1.780597
0.595167	1.780295
0.597956	1.779995
0.600758	1.779698
0.603573	1.779404
0.606401	1.779114
0.609243	1.778826
0.612098	1.778541
0.614966	1.778259
0.617848	1.777979
0.620743	1.777703
0.623652	1.777429
0.626575	1.777157
0.629511	1.776889
0.632461	1.776623
0.635424	1.776359
0.638402	1.776099
0.641394	1.77584
0.644399	1.775584
0.647419	1.775331
0.650453	1.77508
0.653501	1.774831
0.656563	1.774585
0.65964	1.774341
0.662731	1.774099
0.665837	1.77386
0.668957	1.773622
0.672091	1.773387
0.675241	1.773154
0.678405	1.772924
0.681584	1.772695
0.684778	1.772468
0.687987	1.772244
0.691211	1.772021
0.69445	1.771801
0.697704	1.771582
0.700974	1.771366
0.704259	1.771151
0.707559	1.770939
0.710874	1.770728
0.714206	1.770519
0.717552	1.770311
0.720915	1.770106
0.724293	1.769902
0.727687	1.7697
0.731097	1.7695
0.734523	1.769302
0.737965	1.769105
0.741423	1.76891
0.744898	1.768716
0.748388	1.768524
0.751895	1.768334
0.755419	1.768145
0.758959	1.767958
0.762515	1.767773
0.766089	1.767588
0.769678	1.767406
0.773285	1.767224
0.776909	1.767045
0.78055	1.766866
0.784207	1.766689
0.787882	1.766514
0.791574	1.766339
0.795283	1.766167
0.79901	1.765995
0.802754	1.765825
0.806516	1.765656
0.810296	1.765488
0.814093	1.765322
0.817908	1.765156
0.82174	1.764992
0.825591	1.764829
0.82946	1.764668
0.833347	1.764507
0.837252	1.764348
0.841175	1.76419
0.845117	1.764033
0.849077	1.763876
0.853056	1.763722
0.857054	1.763568
0.86107	1.763415
0.865105	1.763263
0.869159	1.763112
0.873232	1.762962
0.877324	1.762813
0.881435	1.762665
0.885565	1.762519
0.889715	1.762373
0.893884	1.762227
0.898073	1.762083
0.902282	1.76194
0.90651	1.761797
0.910758	1.761656
0.915026	1.761515
0.919314	1.761375
0.923621	1.761236
0.92795	1.761098
0.932298	1.76096
0.936667	1.760823
0.941056	1.760687
0.945466	1.760552
0.949897	1.760418
0.954348	1.760284
0.95882	1.760151
0.963313	1.760018
0.967827	1.759886
0.972362	1.759755
0.976919	1.759625
0.981497	1.759495
0.986096	1.759366
0.990717	1.759237
0.99536	1.759109
1.00002	1.758982
1.00471	1.758855
1.00942	1.758729
1.01415	1.758603
1.0189	1.758478
1.02368	1.758353
1.02847	1.758229
1.03329	1.758105
1.03813	1.757982
1.043	1.757859
1.04789	1.757737
1.0528	1.757615
1.05773	1.757494
1.06269	1.757373
1.06767	1.757252
1.07267	1.757132
1.0777	1.757012
1.08275	1.756893
1.08782	1.756774
1.09292	1.756655
1.09804	1.756537
1.10319	1.756419
1.10835	1.756301
1.11355	1.756184
1.11877	1.756067
1.12401	1.75595
1.12928	1.755834
1.13457	1.755718
1.13988	1.755602
1.14523	1.755486
1.15059	1.75537
1.15598	1.755255
1.1614	1.75514
1.16684	1.755025
1.17231	1.75491
1.17781	1.754796
1.18332	1.754682
1.18887	1.754567
1.19444	1.754453
1.20004	1.75434
1.20566	1.754226
1.21131	1.754112
1.21699	1.753999
1.22269	1.753885
1.22842	1.753772
1.23418	1.753658
1.23996	1.753545
1.24577	1.753432
1.25161	1.753319
1.25747	1.753206
1.26337	1.753092
1.26929	1.752979
1.27523	1.752866
1.28121	1.752753
1.28721	1.75264
1.29325	1.752527
1.29931	1.752413
1.30539	1.7523
1.31151	1.752187
1.31766	1.752073
1.32383	1.75196
1.33004	1.751846
1.33627	1.751732
1.34253	1.751619
1.34882	1.751505
1.35514	1.75139
1.36149	1.751276
1.36787	1.751162
1.37428	1.751047
1.38072	1.750932
1.38719	1.750817
1.39369	1.750702
1.40022	1.750587
1.40679	1.750471
1.41338	1.750355
1.42	1.750239
1.42666	1.750123
1.43334	1.750006
1.44006	1.749889
1.44681	1.749772
1.45359	1.749655
1.4604	1.749537
1.46724	1.749419
1.47412	1.7493
1.48102	1.749182
1.48796	1.749063
1.49494	1.748943
1.50194	1.748823
1.50898	1.748703
1.51605	1.748582
1.52316	1.748461
1.53029	1.74834
1.53746	1.748218
1.54467	1.748096
1.55191	1.747973
1.55918	1.74785
1.56649	1.747726
1.57383	1.747602
1.5812	1.747477
1.58861	1.747352
1.59606	1.747226
1.60354	1.7471
1.61105	1.746973
1.6186	1.746846
1.62618	1.746718
1.6338	1.746589
1.64146	1.74646
1.64915	1.746331
1.65688	1.7462
1.66464	1.74607
1.67245	1.745938
1.68028	1.745806
1.68816	1.745673
1.69607	1.74554
1.70402	1.745406
1.712	1.745271
1.72002	1.745135
1.72808	1.744999
1.73618	1.744862
1.74432	1.744724
1.75249	1.744586
1.7607	1.744446
1.76895	1.744306
1.77724	1.744166
1.78557	1.744024
1.79394	1.743881
1.80235	1.743738
1.81079	1.743594
1.81928	1.743449
1.8278	1.743303
1.83637	1.743157
1.84497	1.743009
1.85362	1.74286
1.8623	1.742711
1.87103	1.742561
1.8798	1.742409
1.88861	1.742257
1.89746	1.742104
1.90635	1.741949
1.91528	1.741794
1.92426	1.741638
1.93327	1.741481
1.94233	1.741322
1.95144	1.741163
1.96058	1.741002
1.96977	1.740841
1.979	1.740678
1.98827	1.740514
1.99759	1.74035
2.00695	1.740184
2.01636	1.740016
2.0258	1.739848
2.0353	1.739678
2.04483	1.739508
2.05442	1.739335
2.06404	1.739162
2.07372	1.738988
2.08343	1.738812
2.0932	1.738635
2.10301	1.738457
2.11286	1.738277
2.12276	1.738096
2.13271	1.737913
2.1427	1.73773
2.15274	1.737545
2.16283	1.737358
2.17297	1.73717
2.18315	1.736981
2.19338	1.73679
2.20366	1.736598
2.21398	1.736404
2.22436	1.736209
2.23478	1.736012
2.24526	1.735814
2.25578	1.735614
2.26635	1.735412
2.27697	1.735209
2.28764	1.735005
2.29836	1.734798
2.30913	1.73459
2.31995	1.734381
2.33082	1.73417
2.34174	1.733957
2.35272	1.733742
2.36374	1.733525
2.37482	1.733307
2.38595	1.733087
2.39713	1.732865
2.40836	1.732642
2.41965	1.732416
2.43098	1.732189
2.44238	1.73196
2.45382	1.731729
2.46532	1.731496
2.47687	1.731261
2.48848	1.731024
2.50014	1.730785
2.51186	1.730544
2.52363	1.730301
2.53545	1.730056
2.54733	1.729809
2.55927	1.729559
2.57126	1.729308
2.58331	1.729055
2.59542	1.728799
2.60758	1.728541
2.6198	1.728281
2.63208	1.728019
2.64441	1.727754
2.6568	1.727487
2.66925	1.727218
2.68176	1.726947
2.69433	1.726673
2.70695	1.726396
2.71964	1.726118
2.73238	1.725837
2.74519	1.725553
2.75805	1.725267
2.77098	1.724978
2.78396	1.724687
2.79701	1.724394
2.81011	1.724097
2.82328	1.723798
2.83651	1.723497
2.8498	1.723192
2.86316	1.722886
2.87657	1.722576
2.89005	1.722263
2.9036	1.721948
2.9172	1.72163
2.93087	1.721309
2.94461	1.720985
2.95841	1.720659
2.97227	1.720329
2.9862	1.719996
3.00019	1.719661
3.01425	1.719322
3.02838	1.71898
3.04257	1.718635
3.05682	1.718287
3.07115	1.717936
3.08554	1.717582
3.1	1.717224

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-alpha.yml
ID: ds_29f885e5db51
API: /v1/datasets/ds_29f885e5db51

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