Optical constants

Refractive index of CaYAlO₄ (Calcium yttrium aluminate, CALYO)

Loiko et al. 2017: n(e) 0.35–2.1 µm

Data: formula 4
Range: 0.35–2.1 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: 1.93053
Extinction coefficient k: 0

Permittivity ε₁: 3.72693
Permittivity ε₂: 0

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

Abbe number V_d: 44.757
Chromatic dispersion dn/dλ: -0.106492 µm⁻¹

Group index n_g: 1.9931
Group velocity dispersion: 198.33 fs²/mm

Dispersion parameter D: -1081.99 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

# CaYAlO4 (Calcium yttrium aluminate, CALYO): Loiko et al. 2017: n(e) 0.35–2.1 µm
cayalo4 = ls.fetch_refractiveindex("main", "CaYAlO4", "Loiko-e", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cayalo4.range_nm)  # (350, 2100) nm
eps = cayalo4.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_43051914b2e8/lightsmith"
cayalo4 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(cayalo4.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (cayalo4/loiko-2017-e).

# ... load cayalo4 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=cayalo4)],
    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} = 3.62156 + \frac{0.03582 λ^{0.0}}{λ^{2} - {0.0192}^{1.0}} - 0.01298 λ^{2.0}

Valid from 0.35 to 2.1 µm.

Coefficients as stored

C_i	Value
C1	3.62156
C2	0.03582
C3	0.0
C4	0.0192
C5	1.0
C6	0.0
C7	0.0
C8	0.0
C9	0.0
C10	-0.01298
C11	2.0

Comments and conditions

Extraordinary ray (e); room temperature.

Conditions

direction: e

References

P. Loiko, P. Becker, L. Bohatý, C. Liebald, M. Peltz, S. Vernay, D. Rytz, J. M. Serres, X. Mateos, Y. Wang, X. Xu, J. Xu, A. Major, A. Baranov, U. Griebner, V. Petrov. Sellmeier equations, group velocity dispersion, and thermo-optic dispersion formulas for CaLnAlO₄ (Ln = Y, Gd) laser host crystals. Opt. Lett., 42, 2275–2278 (2017)

doi:10.1364/ol.42.002275 Sellmeier equations, group velocity dispersion, and thermo-optic dispersion formulas for CaLnAlO_4 (Ln = Y, Gd) laser host crystals, Optics Letters (2017)

Cite

Pavel Loiko et al.. Sellmeier equations, group velocity dispersion, and thermo-optic dispersion formulas for CaLnAlO_4 (Ln = Y, Gd) laser host crystals. Optics Letters, 42, 2275 (2017), doi:10.1364/ol.42.002275; 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

CaYAlO4 (Calcium yttrium aluminate, CALYO), Loiko et al. 2017: n(e) 0.35–2.1 µm: n and k versus wavelength
λ (µm)	n
0.35	1.991664
0.351575	1.990739
0.353158	1.989825
0.354747	1.988921
0.356344	1.988027
0.357947	1.987144
0.359559	1.986272
0.361177	1.985409
0.362802	1.984556
0.364435	1.983713
0.366075	1.982879
0.367723	1.982056
0.369378	1.981241
0.371041	1.980436
0.37271	1.979639
0.374388	1.978852
0.376073	1.978074
0.377766	1.977304
0.379466	1.976543
0.381174	1.975791
0.382889	1.975047
0.384612	1.974311
0.386344	1.973583
0.388082	1.972864
0.389829	1.972152
0.391584	1.971448
0.393346	1.970752
0.395116	1.970064
0.396895	1.969383
0.398681	1.96871
0.400475	1.968044
0.402278	1.967385
0.404088	1.966733
0.405907	1.966089
0.407734	1.965451
0.409569	1.96482
0.411412	1.964196
0.413264	1.963579
0.415124	1.962969
0.416992	1.962364
0.418869	1.961767
0.420754	1.961175
0.422648	1.96059
0.42455	1.960012
0.426461	1.959439
0.42838	1.958872
0.430308	1.958312
0.432245	1.957757
0.43419	1.957208
0.436145	1.956665
0.438108	1.956127
0.440079	1.955596
0.44206	1.955069
0.44405	1.954548
0.446048	1.954033
0.448056	1.953523
0.450072	1.953018
0.452098	1.952518
0.454133	1.952024
0.456177	1.951534
0.45823	1.95105
0.460292	1.95057
0.462364	1.950096
0.464445	1.949626
0.466535	1.949161
0.468635	1.948701
0.470744	1.948245
0.472863	1.947794
0.474991	1.947348
0.477129	1.946906
0.479276	1.946469
0.481433	1.946036
0.4836	1.945607
0.485777	1.945182
0.487963	1.944762
0.490159	1.944346
0.492365	1.943934
0.494581	1.943526
0.496807	1.943123
0.499043	1.942723
0.501289	1.942327
0.503545	1.941935
0.505812	1.941547
0.508088	1.941163
0.510375	1.940782
0.512672	1.940405
0.514979	1.940032
0.517297	1.939663
0.519625	1.939297
0.521964	1.938934
0.524313	1.938576
0.526673	1.93822
0.529044	1.937868
0.531425	1.93752
0.533816	1.937174
0.536219	1.936832
0.538632	1.936494
0.541057	1.936158
0.543492	1.935826
0.545938	1.935497
0.548395	1.935171
0.550863	1.934848
0.553342	1.934528
0.555833	1.934211
0.558334	1.933898
0.560847	1.933587
0.563372	1.933279
0.565907	1.932973
0.568454	1.932671
0.571013	1.932372
0.573583	1.932075
0.576164	1.931781
0.578757	1.93149
0.581362	1.931201
0.583979	1.930915
0.586607	1.930632
0.589247	1.930351
0.591899	1.930073
0.594563	1.929798
0.597239	1.929525
0.599927	1.929254
0.602627	1.928986
0.605339	1.92872
0.608064	1.928457
0.610801	1.928196
0.61355	1.927937
0.616311	1.927681
0.619085	1.927427
0.621871	1.927175
0.62467	1.926925
0.627482	1.926678
0.630306	1.926433
0.633143	1.92619
0.635992	1.925949
0.638855	1.92571
0.64173	1.925474
0.644618	1.925239
0.647519	1.925006
0.650434	1.924776
0.653361	1.924547
0.656302	1.924321
0.659256	1.924096
0.662223	1.923873
0.665203	1.923652
0.668197	1.923433
0.671204	1.923216
0.674225	1.923001
0.67726	1.922787
0.680308	1.922576
0.68337	1.922366
0.686446	1.922158
0.689535	1.921951
0.692638	1.921747
0.695756	1.921544
0.698887	1.921342
0.702033	1.921142
0.705192	1.920944
0.708366	1.920748
0.711554	1.920553
0.714757	1.92036
0.717974	1.920168
0.721205	1.919978
0.724451	1.919789
0.727712	1.919602
0.730987	1.919416
0.734277	1.919232
0.737582	1.919049
0.740901	1.918868
0.744236	1.918688
0.747586	1.918509
0.75095	1.918332
0.75433	1.918156
0.757725	1.917982
0.761135	1.917809
0.764561	1.917637
0.768002	1.917466
0.771459	1.917297
0.774931	1.917129
0.778419	1.916962
0.781922	1.916797
0.785441	1.916633
0.788976	1.916469
0.792527	1.916308
0.796094	1.916147
0.799677	1.915987
0.803276	1.915829
0.806892	1.915672
0.810523	1.915515
0.814171	1.91536
0.817836	1.915206
0.821516	1.915053
0.825214	1.914902
0.828928	1.914751
0.832659	1.914601
0.836406	1.914452
0.840171	1.914304
0.843952	1.914158
0.84775	1.914012
0.851566	1.913867
0.855399	1.913723
0.859249	1.91358
0.863116	1.913438
0.867	1.913297
0.870903	1.913157
0.874822	1.913017
0.87876	1.912879
0.882715	1.912741
0.886687	1.912604
0.890678	1.912468
0.894687	1.912333
0.898714	1.912199
0.902759	1.912066
0.906822	1.911933
0.910903	1.911801
0.915003	1.91167
0.919121	1.911539
0.923258	1.91141
0.927413	1.911281
0.931587	1.911152
0.93578	1.911025
0.939991	1.910898
0.944222	1.910772
0.948472	1.910646
0.952741	1.910521
0.957029	1.910397
0.961336	1.910274
0.965663	1.910151
0.970009	1.910029
0.974374	1.909907
0.97876	1.909786
0.983165	1.909665
0.98759	1.909545
0.992035	1.909426
0.9965	1.909307
1.00098	1.909189
1.00549	1.909071
1.01002	1.908954
1.01456	1.908837
1.01913	1.908721
1.02371	1.908605
1.02832	1.90849
1.03295	1.908375
1.0376	1.908261
1.04227	1.908147
1.04696	1.908034
1.05167	1.907921
1.05641	1.907809
1.06116	1.907696
1.06594	1.907585
1.07073	1.907473
1.07555	1.907362
1.08039	1.907252
1.08526	1.907142
1.09014	1.907032
1.09505	1.906922
1.09997	1.906813
1.10493	1.906704
1.1099	1.906596
1.11489	1.906488
1.11991	1.90638
1.12495	1.906272
1.13002	1.906165
1.1351	1.906058
1.14021	1.905951
1.14534	1.905845
1.1505	1.905738
1.15567	1.905632
1.16088	1.905527
1.1661	1.905421
1.17135	1.905316
1.17662	1.905211
1.18192	1.905106
1.18724	1.905001
1.19258	1.904896
1.19795	1.904792
1.20334	1.904687
1.20875	1.904583
1.21419	1.904479
1.21966	1.904375
1.22515	1.904272
1.23066	1.904168
1.2362	1.904065
1.24177	1.903961
1.24735	1.903858
1.25297	1.903754
1.25861	1.903651
1.26427	1.903548
1.26996	1.903445
1.27568	1.903342
1.28142	1.903239
1.28719	1.903136
1.29298	1.903033
1.2988	1.90293
1.30465	1.902827
1.31052	1.902724
1.31642	1.902621
1.32234	1.902518
1.32829	1.902415
1.33427	1.902312
1.34028	1.902209
1.34631	1.902106
1.35237	1.902003
1.35845	1.901899
1.36457	1.901796
1.37071	1.901693
1.37688	1.901589
1.38307	1.901485
1.3893	1.901381
1.39555	1.901277
1.40183	1.901173
1.40814	1.901069
1.41448	1.900965
1.42085	1.90086
1.42724	1.900755
1.43367	1.900651
1.44012	1.900545
1.4466	1.90044
1.45311	1.900335
1.45965	1.900229
1.46622	1.900123
1.47282	1.900017
1.47945	1.899911
1.48611	1.899804
1.49279	1.899697
1.49951	1.89959
1.50626	1.899482
1.51304	1.899375
1.51985	1.899267
1.52669	1.899158
1.53356	1.89905
1.54046	1.898941
1.5474	1.898831
1.55436	1.898722
1.56136	1.898612
1.56839	1.898501
1.57544	1.898391
1.58253	1.89828
1.58966	1.898168
1.59681	1.898056
1.604	1.897944
1.61122	1.897832
1.61847	1.897718
1.62575	1.897605
1.63307	1.897491
1.64042	1.897377
1.6478	1.897262
1.65522	1.897146
1.66267	1.897031
1.67015	1.896914
1.67767	1.896798
1.68522	1.89668
1.69281	1.896562
1.70042	1.896444
1.70808	1.896325
1.71577	1.896206
1.72349	1.896086
1.73124	1.895965
1.73904	1.895844
1.74686	1.895723
1.75473	1.8956
1.76262	1.895477
1.77056	1.895354
1.77852	1.89523
1.78653	1.895105
1.79457	1.89498
1.80265	1.894853
1.81076	1.894727
1.81891	1.894599
1.8271	1.894471
1.83532	1.894342
1.84358	1.894213
1.85188	1.894083
1.86021	1.893952
1.86858	1.89382
1.87699	1.893688
1.88544	1.893554
1.89393	1.89342
1.90245	1.893286
1.91101	1.89315
1.91962	1.893014
1.92826	1.892877
1.93693	1.892739
1.94565	1.8926
1.95441	1.89246
1.9632	1.89232
1.97204	1.892178
1.98092	1.892036
1.98983	1.891893
1.99879	1.891748
2.00778	1.891603
2.01682	1.891457
2.0259	1.89131
2.03501	1.891163
2.04417	1.891014
2.05337	1.890864
2.06262	1.890713
2.0719	1.890561
2.08122	1.890408
2.09059	1.890254
2.1	1.8901

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: —

CaYAlO₄ (Calcium yttrium aluminate, CALYO): all datasets

About CaYAlO4 (Calcium yttrium aluminate, CALYO)

Calcium yttrium aluminate (CaYAlO₄), abbreviated as CALYO, is an inorganic compound that adopts a monoclinic crystal structure. It is a multifunctional material that has garnered interest for its unique optical and photoluminescent properties. When doped with rare-earth ions like Ce³⁺ or Eu³⁺, CALYO demonstrates excellent photoluminescence and can serve as a useful host material for phosphors and solid-state lasers. Its moderate thermal stability and good mechanical properties also make it an attractive candidate for optical coatings and filters. Furthermore, its relatively wide bandgap and tunable refractive index make it a versatile material for photonic and optoelectronic applications, ranging from waveguides to photodetectors. CALYO can be synthesized through several methods including solid-state reactions and hydrothermal processes, allowing for precise control over its stoichiometry and crystal structure. Overall, the compound's distinctive properties make it a subject of active research and a material with potential for broad applications in the field of optics and photonics.

More about CaYAlO4 (Calcium yttrium aluminate, CALYO) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/CaYAlO4/nk/Loiko-e.yml
ID: ds_43051914b2e8
API: /v1/datasets/ds_43051914b2e8

Plot