Optical constants

Refractive index of LiIO₃ (Lithium iodate)

Umegaki et al. 1971: n(e) 0.4–5.7 µm

Data: formula 4
Range: 0.4–5.7 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: 1.7402
Extinction coefficient k: 0

Permittivity ε₁: 3.02828
Permittivity ε₂: 0

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

Abbe number V_d: 31.403
Chromatic dispersion dn/dλ: -0.119287 µm⁻¹

Group index n_g: 1.81029
Group velocity dispersion: 238.562 fs²/mm

Dispersion parameter D: -1301.48 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

# LiIO3 (Lithium iodate): Umegaki et al. 1971: n(e) 0.4–5.7 µm
liio3 = ls.fetch_refractiveindex("main", "LiIO3", "Umegaki-e", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(liio3.range_nm)  # (400, 5700) nm
eps = liio3.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_2e3cfd8d897f/lightsmith"
liio3 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(liio3.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (liio3/umegaki-1971-e).

# ... load liio3 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=liio3)],
    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} = 2.918692 + \frac{0.035145 λ^{0.0}}{λ^{2} - {0.028224}^{1.0}} - 0.003641 λ^{2.0}

Valid from 0.4 to 5.7 µm.

Coefficients as stored

C_i	Value
C1	2.918692
C2	0.035145
C3	0.0
C4	0.028224
C5	1.0
C6	0.0
C7	0.0
C8	0.0
C9	0.0
C10	-0.003641
C11	2.0

Comments and conditions

Room temperature. Extraordinary ray (e).

Conditions

direction: e

References

1) S. Umegaki, S.-I. Tanaka, T. Uchiyama, S. Yabumoto. Refractive indices of lithium iodate between 0.4 and 2.2 μ. Opt. Commun. 3, 244-245 (1971)
2) V. I. Kabelka, A. S. Piskarskas, A. Y. Stabinis, R. L. Sher. Group matching of interacting light pulses in nonlinear crystals. Sov. J. Quant. Electron. 5, 255-256 (1975)
3) K. Kato. High-power difference-frequency generation at 4.4-5.7 µm in LiIO₃. IEEE. J. Quant. Electron. 21, 119-120 (1985)
* Reference 2 presented a dispersion formula based on tabulated data from Reference 1. The formula was further refined and its accuracy was confirmed in Reference 3, which extended the range of validity.

doi:10.1016/0030-4018(71)90013-7 Refractive indices of lithium iodate between 0.4 and 2.2 μ, Optics Communications (1971)
doi:10.1070/qe1975v005n02abeh010943 Group matching of interacting light pulses in nonlinear crystals, Soviet Journal of Quantum Electronics (1975)
doi:10.1109/jqe.1985.1072617 High-power difference-frequency generation at 4.4-5.7 µm in LiIO&lt;inf&gt;3&lt;/inf&gt;, IEEE Journal of Quantum Electronics (1985)

Cite

S. Umegaki, S.-I. Tanaka, T. Uchiyama and S. Yabumoto. Refractive indices of lithium iodate between 0.4 and 2.2 μ. Optics Communications, 3, 244-245 (1971), doi:10.1016/0030-4018(71)90013-7; V I Kabelka, A S Piskarskas, A Yu Stabinis and R L Sher. Group matching of interacting light pulses in nonlinear crystals. Soviet Journal of Quantum Electronics, 5, 255-256 (1975), doi:10.1070/qe1975v005n02abeh010943; K. Kato. High-power difference-frequency generation at 4.4-5.7 µm in LiIO&lt;inf&gt;3&lt;/inf&gt;. IEEE Journal of Quantum Electronics, 21, 119-120 (1985), doi:10.1109/jqe.1985.1072617; 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

LiIO3 (Lithium iodate), Umegaki et al. 1971: n(e) 0.4–5.7 µm: n and k versus wavelength
λ (µm)	n
0.4	1.784604
0.402672	1.783405
0.405362	1.782227
0.408071	1.78107
0.410797	1.779934
0.413541	1.778819
0.416304	1.777723
0.419085	1.776646
0.421885	1.775589
0.424704	1.774549
0.427541	1.773528
0.430397	1.772525
0.433273	1.771539
0.436167	1.770571
0.439081	1.769618
0.442014	1.768682
0.444967	1.767762
0.44794	1.766858
0.450933	1.765969
0.453945	1.765095
0.456978	1.764236
0.460031	1.763391
0.463104	1.76256
0.466198	1.761743
0.469313	1.760939
0.472448	1.760149
0.475604	1.759372
0.478782	1.758608
0.48198	1.757856
0.4852	1.757116
0.488442	1.756389
0.491705	1.755673
0.49499	1.754968
0.498297	1.754276
0.501626	1.753594
0.504977	1.752923
0.508351	1.752263
0.511747	1.751613
0.515166	1.750974
0.518608	1.750345
0.522072	1.749725
0.52556	1.749116
0.529071	1.748516
0.532606	1.747925
0.536164	1.747344
0.539746	1.746772
0.543352	1.746208
0.546982	1.745653
0.550636	1.745107
0.554315	1.744569
0.558018	1.74404
0.561746	1.743519
0.565499	1.743005
0.569277	1.742499
0.57308	1.742002
0.576909	1.741511
0.580763	1.741028
0.584643	1.740552
0.588549	1.740084
0.592481	1.739622
0.596439	1.739168
0.600424	1.73872
0.604435	1.738279
0.608473	1.737844
0.612538	1.737416
0.61663	1.736994
0.62075	1.736579
0.624897	1.736169
0.629072	1.735766
0.633274	1.735368
0.637505	1.734976
0.641764	1.73459
0.646052	1.734209
0.650368	1.733834
0.654713	1.733465
0.659087	1.733101
0.66349	1.732742
0.667922	1.732388
0.672385	1.732039
0.676877	1.731695
0.681399	1.731356
0.685951	1.731022
0.690534	1.730693
0.695147	1.730368
0.699791	1.730048
0.704466	1.729732
0.709173	1.729421
0.71391	1.729114
0.71868	1.728811
0.723481	1.728513
0.728315	1.728219
0.73318	1.727929
0.738078	1.727642
0.743009	1.72736
0.747973	1.727082
0.75297	1.726807
0.758001	1.726536
0.763065	1.726269
0.768163	1.726006
0.773294	1.725746
0.778461	1.725489
0.783661	1.725236
0.788897	1.724987
0.794167	1.72474
0.799473	1.724497
0.804814	1.724258
0.810191	1.724021
0.815603	1.723788
0.821052	1.723557
0.826537	1.72333
0.832059	1.723106
0.837618	1.722884
0.843214	1.722665
0.848847	1.72245
0.854518	1.722237
0.860227	1.722026
0.865974	1.721819
0.871759	1.721614
0.877583	1.721412
0.883446	1.721212
0.889349	1.721014
0.89529	1.72082
0.901271	1.720627
0.907292	1.720437
0.913354	1.72025
0.919456	1.720064
0.925598	1.719881
0.931782	1.719701
0.938007	1.719522
0.944274	1.719346
0.950582	1.719171
0.956933	1.718999
0.963326	1.718829
0.969762	1.718661
0.97624	1.718495
0.982762	1.71833
0.989328	1.718168
0.995937	1.718008
1.00259	1.717849
1.00929	1.717692
1.01603	1.717537
1.02282	1.717384
1.02965	1.717233
1.03653	1.717083
1.04346	1.716935
1.05043	1.716788
1.05745	1.716643
1.06451	1.7165
1.07162	1.716358
1.07878	1.716218
1.08599	1.716079
1.09324	1.715942
1.10055	1.715806
1.1079	1.715672
1.1153	1.715539
1.12275	1.715407
1.13025	1.715277
1.1378	1.715147
1.14541	1.71502
1.15306	1.714893
1.16076	1.714768
1.16852	1.714644
1.17632	1.714521
1.18418	1.714399
1.19209	1.714278
1.20006	1.714159
1.20807	1.71404
1.21614	1.713923
1.22427	1.713807
1.23245	1.713691
1.24068	1.713577
1.24897	1.713464
1.25731	1.713351
1.26571	1.71324
1.27417	1.713129
1.28268	1.713019
1.29125	1.712911
1.29988	1.712803
1.30856	1.712696
1.3173	1.712589
1.32611	1.712484
1.33496	1.712379
1.34388	1.712275
1.35286	1.712172
1.3619	1.712069
1.371	1.711967
1.38016	1.711866
1.38938	1.711765
1.39866	1.711665
1.408	1.711566
1.41741	1.711467
1.42688	1.711369
1.43641	1.711271
1.44601	1.711174
1.45567	1.711078
1.46539	1.710982
1.47518	1.710886
1.48504	1.710791
1.49496	1.710696
1.50495	1.710602
1.515	1.710508
1.52512	1.710415
1.53531	1.710322
1.54557	1.710229
1.5559	1.710137
1.56629	1.710045
1.57675	1.709953
1.58729	1.709861
1.59789	1.70977
1.60857	1.709679
1.61931	1.709589
1.63013	1.709498
1.64102	1.709408
1.65199	1.709318
1.66302	1.709228
1.67413	1.709139
1.68532	1.709049
1.69658	1.70896
1.70791	1.70887
1.71932	1.708781
1.73081	1.708692
1.74237	1.708603
1.75401	1.708514
1.76573	1.708425
1.77752	1.708336
1.7894	1.708247
1.80135	1.708158
1.81339	1.708069
1.8255	1.70798
1.8377	1.707891
1.84998	1.707801
1.86234	1.707712
1.87478	1.707623
1.8873	1.707533
1.89991	1.707443
1.9126	1.707353
1.92538	1.707263
1.93824	1.707173
1.95119	1.707082
1.96423	1.706992
1.97735	1.706901
1.99056	1.706809
2.00386	1.706718
2.01725	1.706626
2.03072	1.706534
2.04429	1.706442
2.05795	1.706349
2.0717	1.706256
2.08554	1.706162
2.09947	1.706068
2.1135	1.705974
2.12762	1.705879
2.14183	1.705784
2.15614	1.705688
2.17054	1.705592
2.18505	1.705495
2.19964	1.705398
2.21434	1.7053
2.22913	1.705202
2.24402	1.705103
2.25902	1.705003
2.27411	1.704903
2.2893	1.704803
2.30459	1.704701
2.31999	1.704599
2.33549	1.704497
2.35109	1.704393
2.3668	1.704289
2.38261	1.704184
2.39853	1.704079
2.41455	1.703972
2.43069	1.703865
2.44692	1.703757
2.46327	1.703649
2.47973	1.703539
2.49629	1.703429
2.51297	1.703317
2.52976	1.703205
2.54666	1.703092
2.56367	1.702977
2.5808	1.702862
2.59804	1.702746
2.6154	1.702629
2.63287	1.702511
2.65046	1.702392
2.66817	1.702271
2.686	1.70215
2.70394	1.702027
2.722	1.701904
2.74019	1.701779
2.7585	1.701653
2.77692	1.701526
2.79548	1.701397
2.81415	1.701267
2.83295	1.701136
2.85188	1.701004
2.87093	1.700871
2.89011	1.700736
2.90942	1.700599
2.92886	1.700461
2.94842	1.700322
2.96812	1.700182
2.98795	1.70004
3.00791	1.699896
3.02801	1.699751
3.04824	1.699604
3.0686	1.699456
3.0891	1.699306
3.10974	1.699155
3.13052	1.699002
3.15143	1.698847
3.17248	1.69869
3.19368	1.698532
3.21501	1.698372
3.23649	1.69821
3.25812	1.698046
3.27988	1.697881
3.30179	1.697713
3.32385	1.697544
3.34606	1.697373
3.36841	1.697199
3.39092	1.697024
3.41357	1.696847
3.43638	1.696667
3.45933	1.696486
3.48244	1.696302
3.50571	1.696116
3.52913	1.695928
3.55271	1.695738
3.57644	1.695545
3.60034	1.69535
3.62439	1.695153
3.6486	1.694954
3.67298	1.694752
3.69752	1.694547
3.72222	1.69434
3.74709	1.69413
3.77212	1.693918
3.79732	1.693704
3.82269	1.693486
3.84823	1.693266
3.87394	1.693044
3.89982	1.692818
3.92587	1.69259
3.9521	1.692358
3.9785	1.692124
4.00508	1.691887
4.03184	1.691647
4.05877	1.691404
4.08589	1.691158
4.11319	1.690909
4.14066	1.690657
4.16833	1.690401
4.19618	1.690142
4.22421	1.68988
4.25243	1.689615
4.28084	1.689346
4.30944	1.689074
4.33823	1.688798
4.36721	1.688518
4.39639	1.688235
4.42576	1.687949
4.45533	1.687659
4.48509	1.687365
4.51505	1.687067
4.54522	1.686765
4.57558	1.686459
4.60615	1.68615
4.63693	1.685836
4.6679	1.685518
4.69909	1.685196
4.73048	1.68487
4.76209	1.68454
4.7939	1.684205
4.82593	1.683866
4.85817	1.683523
4.89062	1.683175
4.9233	1.682822
4.95619	1.682465
4.9893	1.682103
5.02263	1.681736
5.05619	1.681364
5.08997	1.680988
5.12397	1.680606
5.1582	1.68022
5.19266	1.679828
5.22735	1.679431
5.26228	1.679029
5.29743	1.678621
5.33282	1.678208
5.36845	1.67779
5.40432	1.677366
5.44042	1.676936
5.47677	1.6765
5.51336	1.676059
5.55019	1.675612
5.58727	1.675158
5.6246	1.674699
5.66217	1.674234
5.7	1.673762

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: —

LiIO₃ (Lithium iodate): all datasets

About LiIO3 (Lithium iodate)

Lithium iodate (LiIO₃) is a white crystalline compound that has nonlinear optical properties, making it useful in certain optical applications such as frequency conversion and electro-optical modulation. Due to its good phase-matching capabilities, it is often employed in second harmonic generation (SHG) and other nonlinear optical processes. Lithium iodate is also characterized by its relatively high damage threshold, which makes it suitable for high-power optical systems. However, the compound is sensitive to moisture and must be handled and stored under controlled conditions to maintain its optical characteristics.

Lithium Iodate Crystals - Eksma Optics

More about LiIO3 (Lithium iodate) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/LiIO3/nk/Umegaki-e.yml
ID: ds_2e3cfd8d897f
API: /v1/datasets/ds_2e3cfd8d897f

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