Optical constants

Refractive index of CsLiB₆O₁₀ (Cesium lithium borate, CLBO)

Sasaki et al. 2003: n(e) 0.19–2.75 µm

Data: formula 4
Range: 0.19–2.75 µm
Optical axis: e
Licence: CC0-1.0

Uniaxial crystal, axes: oe

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.4429
Extinction coefficient k: 0

Permittivity ε₁: 2.08197
Permittivity ε₂: 0

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

Abbe number V_d: 68.348
Chromatic dispersion dn/dλ: -0.0334993 µm⁻¹

Group index n_g: 1.46259
Group velocity dispersion: 58.2404 fs²/mm

Dispersion parameter D: -317.733 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

# CsLiB6O10 (Cesium lithium borate, CLBO): Sasaki et al. 2003: n(e) 0.19–2.75 µm
cslib6o10 = ls.fetch_refractiveindex("main", "CsLiB6O10", "Sasaki-e", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cslib6o10.range_nm)  # (190, 2750) nm
eps = cslib6o10.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_c10271d9ef4f/lightsmith"
cslib6o10 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(cslib6o10.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (cslib6o10/sasaki-2003-e).

# ... load cslib6o10 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=cslib6o10)],
    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} = 2.0588 + \frac{0.00838 λ^{0.0}}{λ^{2} - {0.01363}^{1.0}} - 0.00607 λ^{2.0}

Valid from 0.19 to 2.75 µm.

Coefficients as stored

C_i	Value
C1	2.0588
C2	0.00838
C3	0.0
C4	0.01363
C5	1.0
C6	0.0
C7	0.0
C8	0.0
C9	1.0
C10	-0.00607
C11	2.0

Comments and conditions

Extraordinary ray (e). Room temperature.

Conditions

direction: e

References

T. Sasaki, Y. Mori, M. Yoshimura. Progress in the growth of a CsLiB₆O₁₀ crystal and its application to ultraviolet light generation. Opt. Mat. 23, 343-351 (2003)

doi:10.1016/s0925-3467(02)00316-6 Progress in the growth of a CsLiB6O10 crystal and its application to ultraviolet light generation, Optical Materials (2003)

Cite

Takatomo Sasaki, Yusuke Mori and Masashi Yoshimura. Progress in the growth of a CsLiB6O10 crystal and its application to ultraviolet light generation. Optical Materials, 23, 343-351 (2003), doi:10.1016/s0925-3467(02)00316-6; 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

CsLiB6O10 (Cesium lithium borate, CLBO), Sasaki et al. 2003: n(e) 0.19–2.75 µm: n and k versus wavelength
λ (µm)	n
0.19	1.559334
0.191277	1.556795
0.192562	1.554326
0.193856	1.551923
0.195159	1.549584
0.19647	1.547307
0.197791	1.54509
0.19912	1.542931
0.200458	1.540827
0.201805	1.538776
0.203161	1.536777
0.204526	1.534828
0.205901	1.532928
0.207285	1.531074
0.208678	1.529265
0.21008	1.527499
0.211492	1.525776
0.212913	1.524094
0.214344	1.522451
0.215784	1.520847
0.217234	1.51928
0.218694	1.517748
0.220164	1.516252
0.221643	1.514789
0.223133	1.51336
0.224632	1.511962
0.226142	1.510595
0.227661	1.509258
0.229191	1.50795
0.230731	1.506671
0.232282	1.505419
0.233843	1.504193
0.235414	1.502994
0.236996	1.50182
0.238589	1.500671
0.240192	1.499545
0.241806	1.498443
0.243431	1.497363
0.245067	1.496306
0.246714	1.49527
0.248372	1.494254
0.250041	1.49326
0.251721	1.492285
0.253413	1.491329
0.255116	1.490392
0.25683	1.489474
0.258556	1.488573
0.260294	1.48769
0.262043	1.486824
0.263804	1.485975
0.265576	1.485142
0.267361	1.484324
0.269158	1.483522
0.270967	1.482736
0.272787	1.481963
0.274621	1.481206
0.276466	1.480462
0.278324	1.479732
0.280194	1.479016
0.282077	1.478312
0.283973	1.477622
0.285881	1.476943
0.287802	1.476277
0.289736	1.475624
0.291683	1.474981
0.293643	1.47435
0.295617	1.473731
0.297603	1.473122
0.299603	1.472524
0.301617	1.471936
0.303643	1.471359
0.305684	1.470792
0.307738	1.470234
0.309806	1.469686
0.311888	1.469148
0.313984	1.468619
0.316094	1.468098
0.318218	1.467587
0.320357	1.467084
0.322509	1.46659
0.324677	1.466104
0.326859	1.465626
0.329055	1.465156
0.331266	1.464694
0.333492	1.464239
0.335734	1.463792
0.33799	1.463353
0.340261	1.46292
0.342548	1.462495
0.34485	1.462076
0.347167	1.461665
0.3495	1.461259
0.351849	1.460861
0.354213	1.460469
0.356593	1.460083
0.35899	1.459703
0.361402	1.459329
0.363831	1.458962
0.366276	1.4586
0.368737	1.458243
0.371215	1.457893
0.37371	1.457548
0.376221	1.457208
0.378749	1.456873
0.381294	1.456544
0.383857	1.45622
0.386436	1.4559
0.389033	1.455586
0.391647	1.455277
0.394279	1.454972
0.396929	1.454672
0.399596	1.454376
0.402282	1.454085
0.404985	1.453798
0.407706	1.453516
0.410446	1.453237
0.413205	1.452963
0.415981	1.452693
0.418777	1.452428
0.421591	1.452166
0.424424	1.451907
0.427276	1.451653
0.430147	1.451403
0.433038	1.451156
0.435948	1.450912
0.438878	1.450673
0.441827	1.450436
0.444796	1.450203
0.447785	1.449974
0.450794	1.449748
0.453824	1.449525
0.456873	1.449305
0.459944	1.449088
0.463034	1.448875
0.466146	1.448664
0.469279	1.448456
0.472432	1.448252
0.475607	1.44805
0.478803	1.447851
0.482021	1.447655
0.48526	1.447461
0.488521	1.447271
0.491804	1.447082
0.495109	1.446897
0.498436	1.446714
0.501785	1.446533
0.505157	1.446355
0.508552	1.446179
0.51197	1.446006
0.51541	1.445835
0.518874	1.445666
0.52236	1.4455
0.525871	1.445336
0.529405	1.445174
0.532962	1.445014
0.536544	1.444856
0.540149	1.4447
0.543779	1.444546
0.547433	1.444395
0.551112	1.444245
0.554816	1.444097
0.558544	1.443951
0.562298	1.443807
0.566076	1.443665
0.56988	1.443524
0.57371	1.443386
0.577565	1.443249
0.581447	1.443113
0.585354	1.44298
0.589287	1.442848
0.593248	1.442717
0.597234	1.442589
0.601248	1.442462
0.605288	1.442336
0.609356	1.442212
0.61345	1.442089
0.617573	1.441968
0.621723	1.441848
0.625901	1.44173
0.630107	1.441613
0.634341	1.441497
0.638604	1.441383
0.642896	1.441269
0.647216	1.441158
0.651565	1.441047
0.655944	1.440938
0.660352	1.44083
0.66479	1.440723
0.669257	1.440617
0.673754	1.440513
0.678282	1.440409
0.68284	1.440307
0.687429	1.440205
0.692048	1.440105
0.696699	1.440006
0.701381	1.439908
0.706094	1.43981
0.710839	1.439714
0.715616	1.439619
0.720425	1.439525
0.725266	1.439431
0.73014	1.439339
0.735047	1.439247
0.739986	1.439156
0.744959	1.439066
0.749965	1.438977
0.755005	1.438889
0.760079	1.438801
0.765186	1.438714
0.770329	1.438628
0.775505	1.438543
0.780717	1.438459
0.785963	1.438375
0.791245	1.438292
0.796562	1.438209
0.801915	1.438127
0.807304	1.438046
0.812729	1.437965
0.818191	1.437885
0.823689	1.437806
0.829224	1.437727
0.834796	1.437649
0.840406	1.437571
0.846054	1.437494
0.851739	1.437417
0.857463	1.437341
0.863225	1.437266
0.869026	1.43719
0.874866	1.437116
0.880745	1.437041
0.886664	1.436967
0.892622	1.436894
0.898621	1.436821
0.90466	1.436748
0.910739	1.436676
0.916859	1.436604
0.923021	1.436532
0.929223	1.436461
0.935468	1.43639
0.941754	1.436319
0.948083	1.436249
0.954454	1.436179
0.960868	1.436109
0.967325	1.436039
0.973826	1.43597
0.98037	1.435901
0.986958	1.435832
0.99359	1.435763
1.00027	1.435694
1.00699	1.435626
1.01376	1.435558
1.02057	1.435489
1.02743	1.435422
1.03433	1.435354
1.04128	1.435286
1.04828	1.435218
1.05532	1.435151
1.06242	1.435083
1.06956	1.435016
1.07674	1.434948
1.08398	1.434881
1.09126	1.434814
1.0986	1.434746
1.10598	1.434679
1.11341	1.434611
1.12089	1.434544
1.12843	1.434477
1.13601	1.434409
1.14364	1.434341
1.15133	1.434274
1.15907	1.434206
1.16685	1.434138
1.1747	1.43407
1.18259	1.434002
1.19054	1.433934
1.19854	1.433865
1.20659	1.433797
1.2147	1.433728
1.22286	1.433659
1.23108	1.43359
1.23935	1.433521
1.24768	1.433451
1.25607	1.433381
1.26451	1.433311
1.273	1.43324
1.28156	1.43317
1.29017	1.433099
1.29884	1.433028
1.30757	1.432956
1.31636	1.432884
1.3252	1.432812
1.33411	1.432739
1.34307	1.432666
1.3521	1.432592
1.36118	1.432519
1.37033	1.432444
1.37954	1.43237
1.38881	1.432295
1.39814	1.432219
1.40754	1.432143
1.417	1.432066
1.42652	1.431989
1.43611	1.431912
1.44576	1.431834
1.45547	1.431755
1.46525	1.431676
1.4751	1.431596
1.48501	1.431516
1.49499	1.431435
1.50504	1.431353
1.51515	1.431271
1.52534	1.431188
1.53559	1.431105
1.54591	1.431021
1.55629	1.430936
1.56675	1.43085
1.57728	1.430764
1.58788	1.430677
1.59855	1.430589
1.60929	1.430501
1.62011	1.430412
1.63099	1.430321
1.64196	1.43023
1.65299	1.430139
1.6641	1.430046
1.67528	1.429953
1.68654	1.429858
1.69787	1.429763
1.70928	1.429667
1.72077	1.42957
1.73233	1.429472
1.74397	1.429373
1.75569	1.429273
1.76749	1.429172
1.77937	1.42907
1.79133	1.428966
1.80336	1.428862
1.81548	1.428757
1.82768	1.428651
1.83996	1.428543
1.85233	1.428435
1.86478	1.428325
1.87731	1.428214
1.88992	1.428102
1.90262	1.427988
1.91541	1.427874
1.92828	1.427758
1.94124	1.427641
1.95429	1.427522
1.96742	1.427402
1.98064	1.427281
1.99395	1.427159
2.00735	1.427035
2.02084	1.426909
2.03442	1.426783
2.04809	1.426654
2.06185	1.426525
2.07571	1.426393
2.08966	1.426261
2.1037	1.426126
2.11784	1.42599
2.13207	1.425853
2.1464	1.425714
2.16082	1.425573
2.17534	1.42543
2.18996	1.425286
2.20468	1.42514
2.21949	1.424993
2.23441	1.424843
2.24942	1.424692
2.26454	1.424539
2.27976	1.424384
2.29508	1.424227
2.3105	1.424068
2.32603	1.423907
2.34166	1.423744
2.35739	1.42358
2.37324	1.423413
2.38918	1.423244
2.40524	1.423073
2.4214	1.4229
2.43767	1.422724
2.45406	1.422547
2.47055	1.422367
2.48715	1.422185
2.50386	1.422
2.52069	1.421814
2.53763	1.421624
2.55468	1.421433
2.57185	1.421239
2.58913	1.421042
2.60653	1.420844
2.62405	1.420642
2.64168	1.420438
2.65943	1.420231
2.6773	1.420022
2.6953	1.41981
2.71341	1.419595
2.73164	1.419377
2.75	1.419157

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: —

CsLiB₆O₁₀ (Cesium lithium borate, CLBO): all datasets

About CsLiB6O10 (Cesium lithium borate, CLBO)

Caesium lithium borate (CsLiB₆O₁₀, commonly abbreviated as CLBO) is an inorganic, nonlinear optical crystal that is gaining prominence for its unique characteristics. This material has a broad transparency range, from ultraviolet to mid-infrared, and exhibits a high damage threshold, making it especially suitable for high-power laser applications. It also offers phase-matching capabilities, which are crucial for frequency conversion processes in laser systems. CLBO is used in a variety of optical applications including second-harmonic generation, sum-frequency generation, and optical parametric oscillation. While it offers several advantages, it is hygroscopic and thus must be carefully handled and stored to prevent degradation from moisture. Due to its specialized use in high-performance laser systems and other optoelectronic devices, it is typically more expensive than other types of nonlinear optical crystals. Overall, CLBO is a highly specialized material that has carved out a niche in high-power laser systems and nonlinear optics.

Caesium lithium borate - Wikipedia

More about CsLiB6O10 (Cesium lithium borate, CLBO) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/CsLiB6O10/nk/Sasaki-e.yml
ID: ds_c10271d9ef4f
API: /v1/datasets/ds_c10271d9ef4f

Plot