Optical constants

Refractive index of LuAl₃(BO₃)₄ (Lutetium aluminium borate, LuAB)

Fang et al. 2013: n(e) 0.266–1.34 µm

Data: formula 4
Range: 0.266–1.338 µm
Temperature: 298 K
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: 1.70329
Extinction coefficient k: 0

Permittivity ε₁: 2.90119
Permittivity ε₂: 0

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

Abbe number V_d: 70.681
Chromatic dispersion dn/dλ: -0.0514322 µm⁻¹

Group index n_g: 1.73351
Group velocity dispersion: 89.3911 fs²/mm

Dispersion parameter D: -487.676 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

# LuAl3(BO3)4 (Lutetium aluminium borate, LuAB): Fang et al. 2013: n(e) 0.266–1.34 µm
lual3 = ls.fetch_refractiveindex("main", "LuAl3_BO3_4", "Fang-e", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(lual3.range_nm)  # (266, 1338) nm
eps = lual3.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_7afd49ddc9b4/lightsmith"
lual3 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(lual3.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (lual3-bo3-4/fang-2013-e).

# ... load lual3 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=lual3)],
    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} = 2.85939 + \frac{0.01511 λ^{0.0}}{λ^{2} - {0.01429}^{1.0}} - 0.01116 λ^{2.0}

Valid from 0.266 to 1.338 µm.

Coefficients as stored

C_i	Value
C1	2.85939
C2	0.01511
C3	0.0
C4	0.01429
C5	1.0
C6	0.0
C7	0.0
C8	0.0
C9	1.0
C10	-0.01116
C11	2.0

Comments and conditions

25 °C. Extraordinary ray (e).

Conditions

temperature: 298 K
direction: e

References

S. Fang, H. Liu, L. Huang, N. Ye. Growth and optical properties of nonlinear LuAl₃(BO₃)₄ crystals. Opt. Express 21, 16415-16423 (2013)

doi:10.1364/oe.21.016415 Growth and optical properties of nonlinear LuAl_3(BO_3)_4 crystals, Optics Express (2013)

Cite

Shenghao Fang, Hua Liu, Lingxiong Huang and Ning Ye. Growth and optical properties of nonlinear LuAl_3(BO_3)_4 crystals. Optics Express, 21, 16415 (2013), doi:10.1364/oe.21.016415; 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

LuAl3(BO3)4 (Lutetium aluminium borate, LuAB), Fang et al. 2013: n(e) 0.266–1.34 µm: n and k versus wavelength
λ (µm)	n
0.266	1.768105
0.267079	1.76734
0.268163	1.766584
0.269251	1.765836
0.270343	1.765097
0.27144	1.764367
0.272541	1.763645
0.273647	1.762931
0.274757	1.762225
0.275871	1.761528
0.276991	1.760838
0.278114	1.760156
0.279243	1.759482
0.280375	1.758815
0.281513	1.758156
0.282655	1.757504
0.283802	1.756859
0.284953	1.756222
0.286109	1.755592
0.28727	1.754968
0.288435	1.754352
0.289605	1.753742
0.29078	1.753139
0.29196	1.752542
0.293144	1.751952
0.294334	1.751368
0.295528	1.750791
0.296727	1.75022
0.29793	1.749655
0.299139	1.749096
0.300353	1.748543
0.301571	1.747996
0.302795	1.747455
0.304023	1.74692
0.305257	1.74639
0.306495	1.745866
0.307738	1.745348
0.308987	1.744835
0.31024	1.744327
0.311499	1.743824
0.312763	1.743327
0.314032	1.742835
0.315306	1.742349
0.316585	1.741867
0.317869	1.74139
0.319159	1.740918
0.320453	1.740451
0.321753	1.739989
0.323059	1.739532
0.324369	1.739079
0.325685	1.738631
0.327007	1.738187
0.328333	1.737748
0.329665	1.737314
0.331003	1.736884
0.332346	1.736458
0.333694	1.736036
0.335048	1.735619
0.336407	1.735206
0.337772	1.734797
0.339142	1.734392
0.340518	1.733991
0.341899	1.733594
0.343286	1.733201
0.344679	1.732812
0.346077	1.732427
0.347481	1.732046
0.348891	1.731668
0.350307	1.731294
0.351728	1.730924
0.353155	1.730557
0.354587	1.730194
0.356026	1.729835
0.35747	1.729479
0.35892	1.729126
0.360377	1.728777
0.361839	1.728432
0.363307	1.728089
0.36478	1.72775
0.36626	1.727414
0.367746	1.727082
0.369238	1.726752
0.370736	1.726426
0.37224	1.726103
0.37375	1.725783
0.375267	1.725466
0.376789	1.725152
0.378318	1.724841
0.379852	1.724533
0.381393	1.724227
0.382941	1.723925
0.384494	1.723625
0.386054	1.723329
0.38762	1.723035
0.389193	1.722744
0.390772	1.722455
0.392357	1.72217
0.393949	1.721886
0.395547	1.721606
0.397152	1.721328
0.398763	1.721053
0.400381	1.72078
0.402005	1.72051
0.403636	1.720242
0.405273	1.719977
0.406918	1.719714
0.408568	1.719453
0.410226	1.719195
0.41189	1.718939
0.413561	1.718686
0.415239	1.718435
0.416924	1.718186
0.418615	1.717939
0.420313	1.717695
0.422018	1.717453
0.423731	1.717213
0.42545	1.716975
0.427176	1.716739
0.428909	1.716505
0.430649	1.716274
0.432396	1.716044
0.43415	1.715817
0.435911	1.715592
0.43768	1.715368
0.439455	1.715147
0.441238	1.714927
0.443028	1.71471
0.444826	1.714494
0.44663	1.71428
0.448442	1.714068
0.450261	1.713858
0.452088	1.71365
0.453922	1.713444
0.455764	1.713239
0.457613	1.713036
0.459469	1.712835
0.461333	1.712636
0.463205	1.712438
0.465084	1.712242
0.466971	1.712048
0.468865	1.711855
0.470767	1.711664
0.472677	1.711475
0.474595	1.711287
0.47652	1.711101
0.478454	1.710917
0.480395	1.710734
0.482344	1.710552
0.4843	1.710373
0.486265	1.710194
0.488238	1.710017
0.490219	1.709842
0.492207	1.709668
0.494204	1.709496
0.496209	1.709324
0.498222	1.709155
0.500243	1.708987
0.502273	1.70882
0.504311	1.708654
0.506357	1.70849
0.508411	1.708328
0.510473	1.708166
0.512544	1.708006
0.514624	1.707847
0.516711	1.70769
0.518808	1.707534
0.520912	1.707379
0.523026	1.707225
0.525148	1.707073
0.527278	1.706921
0.529417	1.706771
0.531565	1.706622
0.533722	1.706475
0.535887	1.706328
0.538061	1.706183
0.540244	1.706039
0.542435	1.705896
0.544636	1.705754
0.546846	1.705613
0.549064	1.705474
0.551292	1.705335
0.553528	1.705198
0.555774	1.705061
0.558029	1.704926
0.560292	1.704792
0.562565	1.704658
0.564848	1.704526
0.567139	1.704395
0.56944	1.704265
0.57175	1.704135
0.57407	1.704007
0.576399	1.70388
0.578737	1.703753
0.581085	1.703628
0.583442	1.703504
0.585809	1.70338
0.588186	1.703257
0.590572	1.703136
0.592968	1.703015
0.595374	1.702895
0.597789	1.702776
0.600214	1.702658
0.602649	1.702541
0.605094	1.702424
0.607549	1.702309
0.610014	1.702194
0.612489	1.70208
0.614973	1.701967
0.617468	1.701855
0.619973	1.701743
0.622489	1.701632
0.625014	1.701523
0.62755	1.701413
0.630095	1.701305
0.632652	1.701197
0.635218	1.701091
0.637795	1.700984
0.640383	1.700879
0.642981	1.700774
0.645589	1.70067
0.648208	1.700567
0.650838	1.700464
0.653479	1.700363
0.65613	1.700261
0.658792	1.700161
0.661464	1.700061
0.664148	1.699962
0.666842	1.699863
0.669547	1.699765
0.672264	1.699668
0.674991	1.699572
0.677729	1.699476
0.680479	1.69938
0.68324	1.699285
0.686011	1.699191
0.688794	1.699098
0.691589	1.699005
0.694395	1.698912
0.697212	1.69882
0.70004	1.698729
0.70288	1.698638
0.705732	1.698548
0.708595	1.698458
0.71147	1.698369
0.714356	1.698281
0.717254	1.698193
0.720164	1.698105
0.723085	1.698018
0.726019	1.697932
0.728964	1.697846
0.731922	1.69776
0.734891	1.697675
0.737872	1.697591
0.740866	1.697507
0.743872	1.697423
0.746889	1.69734
0.749919	1.697257
0.752962	1.697175
0.756017	1.697093
0.759084	1.697012
0.762163	1.696931
0.765255	1.696851
0.76836	1.69677
0.771477	1.696691
0.774607	1.696612
0.777749	1.696533
0.780905	1.696454
0.784073	1.696376
0.787254	1.696299
0.790447	1.696221
0.793654	1.696144
0.796874	1.696068
0.800107	1.695992
0.803353	1.695916
0.806612	1.69584
0.809884	1.695765
0.81317	1.69569
0.816469	1.695616
0.819781	1.695542
0.823107	1.695468
0.826446	1.695395
0.829799	1.695321
0.833165	1.695249
0.836546	1.695176
0.839939	1.695104
0.843347	1.695032
0.846768	1.69496
0.850204	1.694889
0.853653	1.694818
0.857116	1.694747
0.860593	1.694676
0.864085	1.694606
0.86759	1.694536
0.87111	1.694466
0.874644	1.694397
0.878192	1.694327
0.881755	1.694258
0.885332	1.69419
0.888924	1.694121
0.89253	1.694053
0.896151	1.693984
0.899787	1.693917
0.903437	1.693849
0.907102	1.693781
0.910782	1.693714
0.914477	1.693647
0.918187	1.69358
0.921912	1.693513
0.925652	1.693447
0.929408	1.69338
0.933178	1.693314
0.936964	1.693248
0.940765	1.693182
0.944582	1.693116
0.948414	1.693051
0.952261	1.692985
0.956125	1.69292
0.960004	1.692855
0.963898	1.69279
0.967809	1.692725
0.971735	1.692661
0.975677	1.692596
0.979636	1.692531
0.98361	1.692467
0.9876	1.692403
0.991607	1.692339
0.99563	1.692275
0.999669	1.692211
1.00372	1.692147
1.0078	1.692083
1.01189	1.692019
1.01599	1.691956
1.02011	1.691892
1.02425	1.691829
1.02841	1.691765
1.03258	1.691702
1.03677	1.691639
1.04097	1.691575
1.0452	1.691512
1.04944	1.691449
1.05369	1.691386
1.05797	1.691323
1.06226	1.69126
1.06657	1.691197
1.0709	1.691134
1.07524	1.691071
1.0796	1.691008
1.08398	1.690945
1.08838	1.690882
1.0928	1.690819
1.09723	1.690756
1.10168	1.690693
1.10615	1.69063
1.11064	1.690567
1.11514	1.690504
1.11967	1.690441
1.12421	1.690378
1.12877	1.690315
1.13335	1.690252
1.13795	1.690189
1.14257	1.690125
1.1472	1.690062
1.15186	1.689999
1.15653	1.689935
1.16122	1.689872
1.16593	1.689808
1.17066	1.689745
1.17541	1.689681
1.18018	1.689617
1.18497	1.689554
1.18977	1.68949
1.1946	1.689426
1.19945	1.689362
1.20431	1.689297
1.2092	1.689233
1.2141	1.689169
1.21903	1.689104
1.22398	1.689039
1.22894	1.688975
1.23393	1.68891
1.23893	1.688845
1.24396	1.688779
1.24901	1.688714
1.25407	1.688649
1.25916	1.688583
1.26427	1.688517
1.2694	1.688451
1.27455	1.688385
1.27972	1.688319
1.28491	1.688253
1.29012	1.688186
1.29536	1.688119
1.30061	1.688052
1.30589	1.687985
1.31119	1.687918
1.31651	1.68785
1.32185	1.687782
1.32721	1.687714
1.33259	1.687646
1.338	1.687578

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: —

LuAl₃(BO₃)₄ (Lutetium aluminium borate, LuAB): all datasets

About LuAl3(BO3)4 (Lutetium aluminium borate, LuAB)

Lutetium aluminium borate (LuAl₃(BO₃)₄, or LuAB) is a synthetic crystal material known for its non-linear optical properties. With a high damage threshold and phase matching capabilities, it has potential in frequency conversion applications, especially in the deep ultraviolet to infrared spectrum. Additionally, when doped with certain rare-earth ions, LuAB can serve as a luminescent material. Its unique combination of properties makes it an attractive choice for various optical devices and systems, especially where high-power laser interactions are involved.

More about LuAl3(BO3)4 (Lutetium aluminium borate, LuAB) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/LuAl3(BO3)4/nk/Fang-e.yml
ID: ds_7afd49ddc9b4
API: /v1/datasets/ds_7afd49ddc9b4

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