Optical constants

Refractive index of KTaO₃ (Potassium tantalate)

Fujii and Sakudo 1976: n 0.4–1.06 µm

Data: formula 1
Range: 0.4–1.06 µm
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 2.24171
Extinction coefficient k: 0

Permittivity ε₁: 5.02525
Permittivity ε₂: 0

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

Abbe number V_d: 16.889
Chromatic dispersion dn/dλ: -0.36954 µm⁻¹

Group index n_g: 2.45885
Group velocity dispersion: 765.244 fs²/mm

Dispersion parameter D: -4174.81 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

# KTaO3 (Potassium tantalate): Fujii and Sakudo 1976: n 0.4–1.06 µm
ktao3 = ls.fetch_refractiveindex("main", "KTaO3", "Fujii", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ktao3.range_nm)  # (400, 1060) nm
eps = ktao3.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_a1f49beba3d0/lightsmith"
ktao3 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(ktao3.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (ktao3/fujii-sakudo-1976).

# ... load ktao3 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=ktao3)],
    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"]).

import json, urllib.request
import lightsmith as ls

url = "https://materials.lightsmith.dev/v1/datasets/ds_a1f49beba3d0/lightsmith?model=drude_lorentz"
ktao3_dl = ls.DrudeLorentz.model_validate(json.load(urllib.request.urlopen(url)))

A dispersive Drude–Lorentz model for time-domain solvers.

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

Sellmeier (formula 1), λ in µm

n^{2} - 1 = \frac{3.591 λ^{2}}{λ^{2} - {0.193}^{2}}

Valid from 0.4 to 1.06 µm.

Coefficients as stored

C_i	Value
C1	0.0
C2	3.591
C3	0.193

Comments and conditions

300 K (27 °C)

References

Y. Fujii and T. Sakudo. Dielectric and optical properties of KTaO₃. J. Phys. Soc. Jpn. 41, 888-893 (1976).

doi:10.1143/jpsj.41.888 Dielectric and Optical Properties of KTaO3, Journal of the Physical Society of Japan (1976)

Cite

Yoshimasa Fujii and Tunetaro Sakudo. Dielectric and Optical Properties of KTaO3. Journal of the Physical Society of Japan, 41, 888-893 (1976), doi:10.1143/jpsj.41.888; 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

KTaO3 (Potassium tantalate), Fujii and Sakudo 1976: n 0.4–1.06 µm: n and k versus wavelength
λ (µm)	n
0.4	2.383421
0.400978	2.381971
0.401959	2.380531
0.402942	2.379101
0.403927	2.377682
0.404915	2.376273
0.405905	2.374874
0.406898	2.373485
0.407893	2.372105
0.40889	2.370736
0.40989	2.369376
0.410893	2.368026
0.411898	2.366685
0.412905	2.365354
0.413915	2.364033
0.414927	2.36272
0.415942	2.361417
0.416959	2.360122
0.417978	2.358837
0.419001	2.357561
0.420025	2.356294
0.421052	2.355035
0.422082	2.353785
0.423114	2.352544
0.424149	2.351312
0.425186	2.350087
0.426226	2.348872
0.427268	2.347664
0.428313	2.346465
0.429361	2.345274
0.430411	2.344092
0.431463	2.342917
0.432518	2.34175
0.433576	2.340591
0.434636	2.33944
0.435699	2.338297
0.436765	2.337162
0.437833	2.336034
0.438904	2.334914
0.439977	2.333802
0.441053	2.332696
0.442131	2.331599
0.443213	2.330508
0.444297	2.329425
0.445383	2.328349
0.446472	2.327281
0.447564	2.326219
0.448659	2.325165
0.449756	2.324117
0.450856	2.323076
0.451958	2.322043
0.453064	2.321016
0.454171	2.319996
0.455282	2.318982
0.456396	2.317975
0.457512	2.316975
0.45863	2.315982
0.459752	2.314994
0.460876	2.314014
0.462003	2.313039
0.463133	2.312072
0.464266	2.31111
0.465401	2.310154
0.466539	2.309205
0.46768	2.308262
0.468824	2.307325
0.46997	2.306394
0.47112	2.305469
0.472272	2.30455
0.473427	2.303637
0.474585	2.30273
0.475745	2.301829
0.476909	2.300933
0.478075	2.300043
0.479244	2.299159
0.480416	2.29828
0.481591	2.297407
0.482769	2.29654
0.483949	2.295678
0.485133	2.294821
0.486319	2.29397
0.487508	2.293124
0.488701	2.292284
0.489896	2.291449
0.491094	2.290619
0.492295	2.289795
0.493499	2.288975
0.494705	2.288161
0.495915	2.287352
0.497128	2.286548
0.498344	2.285749
0.499562	2.284954
0.500784	2.284165
0.502009	2.283381
0.503236	2.282602
0.504467	2.281827
0.505701	2.281058
0.506937	2.280293
0.508177	2.279532
0.50942	2.278777
0.510666	2.278026
0.511914	2.27728
0.513166	2.276538
0.514421	2.275801
0.515679	2.275069
0.51694	2.274341
0.518205	2.273617
0.519472	2.272898
0.520742	2.272183
0.522016	2.271473
0.523292	2.270767
0.524572	2.270065
0.525855	2.269367
0.527141	2.268674
0.52843	2.267985
0.529722	2.2673
0.531018	2.26662
0.532316	2.265943
0.533618	2.265271
0.534923	2.264602
0.536231	2.263938
0.537542	2.263277
0.538857	2.262621
0.540175	2.261969
0.541496	2.26132
0.54282	2.260675
0.544147	2.260035
0.545478	2.259398
0.546812	2.258765
0.548149	2.258135
0.54949	2.25751
0.550834	2.256888
0.552181	2.25627
0.553531	2.255655
0.554885	2.255044
0.556242	2.254437
0.557602	2.253834
0.558966	2.253234
0.560332	2.252637
0.561703	2.252044
0.563076	2.251455
0.564453	2.250869
0.565834	2.250287
0.567217	2.249708
0.568605	2.249132
0.569995	2.24856
0.571389	2.247991
0.572786	2.247425
0.574187	2.246863
0.575591	2.246304
0.576999	2.245749
0.57841	2.245196
0.579824	2.244647
0.581242	2.244101
0.582664	2.243558
0.584089	2.243019
0.585517	2.242482
0.586949	2.241949
0.588384	2.241419
0.589823	2.240892
0.591266	2.240368
0.592712	2.239846
0.594161	2.239328
0.595614	2.238813
0.597071	2.238301
0.598531	2.237792
0.599994	2.237286
0.601462	2.236783
0.602933	2.236283
0.604407	2.235785
0.605885	2.235291
0.607367	2.234799
0.608852	2.23431
0.610341	2.233824
0.611834	2.23334
0.61333	2.23286
0.61483	2.232382
0.616333	2.231907
0.617841	2.231435
0.619352	2.230965
0.620866	2.230498
0.622384	2.230034
0.623907	2.229572
0.625432	2.229113
0.626962	2.228657
0.628495	2.228203
0.630032	2.227752
0.631573	2.227303
0.633117	2.226857
0.634665	2.226413
0.636218	2.225972
0.637773	2.225534
0.639333	2.225098
0.640897	2.224664
0.642464	2.224233
0.644035	2.223804
0.64561	2.223378
0.647189	2.222954
0.648772	2.222532
0.650358	2.222113
0.651949	2.221696
0.653543	2.221282
0.655141	2.22087
0.656743	2.22046
0.658349	2.220052
0.659959	2.219647
0.661573	2.219244
0.663191	2.218843
0.664813	2.218445
0.666439	2.218048
0.668068	2.217654
0.669702	2.217263
0.67134	2.216873
0.672982	2.216485
0.674628	2.2161
0.676277	2.215717
0.677931	2.215336
0.679589	2.214957
0.681251	2.21458
0.682917	2.214205
0.684587	2.213833
0.686261	2.213462
0.687939	2.213094
0.689622	2.212727
0.691308	2.212363
0.692999	2.212
0.694694	2.21164
0.696392	2.211281
0.698095	2.210925
0.699803	2.21057
0.701514	2.210218
0.703229	2.209867
0.704949	2.209519
0.706673	2.209172
0.708401	2.208827
0.710134	2.208484
0.71187	2.208143
0.713611	2.207804
0.715356	2.207466
0.717106	2.207131
0.718859	2.206797
0.720617	2.206465
0.72238	2.206135
0.724146	2.205807
0.725917	2.205481
0.727692	2.205156
0.729472	2.204833
0.731256	2.204512
0.733044	2.204193
0.734837	2.203875
0.736634	2.203559
0.738435	2.203245
0.740241	2.202933
0.742051	2.202622
0.743866	2.202313
0.745685	2.202006
0.747509	2.2017
0.749337	2.201396
0.751169	2.201094
0.753006	2.200793
0.754848	2.200494
0.756694	2.200196
0.758544	2.1999
0.760399	2.199606
0.762259	2.199313
0.764123	2.199022
0.765991	2.198733
0.767865	2.198445
0.769742	2.198158
0.771625	2.197874
0.773512	2.19759
0.775403	2.197308
0.7773	2.197028
0.779201	2.196749
0.781106	2.196472
0.783016	2.196196
0.784931	2.195922
0.786851	2.195649
0.788775	2.195378
0.790704	2.195108
0.792638	2.19484
0.794576	2.194573
0.796519	2.194307
0.798467	2.194043
0.80042	2.19378
0.802377	2.193519
0.804339	2.193259
0.806306	2.193
0.808278	2.192743
0.810255	2.192487
0.812236	2.192233
0.814222	2.19198
0.816214	2.191728
0.81821	2.191478
0.820211	2.191229
0.822216	2.190981
0.824227	2.190735
0.826243	2.190489
0.828263	2.190246
0.830289	2.190003
0.832319	2.189762
0.834355	2.189522
0.836395	2.189283
0.838441	2.189046
0.840491	2.18881
0.842546	2.188575
0.844607	2.188342
0.846672	2.188109
0.848743	2.187878
0.850818	2.187648
0.852899	2.187419
0.854985	2.187192
0.857076	2.186966
0.859172	2.186741
0.861273	2.186517
0.863379	2.186294
0.86549	2.186073
0.867607	2.185852
0.869729	2.185633
0.871856	2.185415
0.873988	2.185198
0.876125	2.184982
0.878268	2.184768
0.880415	2.184554
0.882568	2.184342
0.884727	2.184131
0.88689	2.183921
0.889059	2.183711
0.891233	2.183504
0.893413	2.183297
0.895598	2.183091
0.897788	2.182886
0.899983	2.182683
0.902184	2.18248
0.904391	2.182279
0.906602	2.182078
0.908819	2.181879
0.911042	2.181681
0.91327	2.181483
0.915503	2.181287
0.917742	2.181092
0.919986	2.180898
0.922236	2.180705
0.924492	2.180513
0.926752	2.180321
0.929019	2.180131
0.931291	2.179942
0.933568	2.179754
0.935851	2.179567
0.93814	2.179381
0.940434	2.179195
0.942734	2.179011
0.945039	2.178828
0.94735	2.178645
0.949667	2.178464
0.951989	2.178284
0.954318	2.178104
0.956651	2.177925
0.958991	2.177748
0.961336	2.177571
0.963687	2.177395
0.966044	2.17722
0.968406	2.177046
0.970774	2.176873
0.973148	2.176701
0.975528	2.17653
0.977914	2.176359
0.980305	2.17619
0.982703	2.176021
0.985106	2.175853
0.987515	2.175687
0.98993	2.175521
0.992351	2.175355
0.994777	2.175191
0.99721	2.175028
0.999649	2.174865
1.00209	2.174703
1.00454	2.174542
1.007	2.174382
1.00946	2.174223
1.01193	2.174064
1.01441	2.173907
1.01689	2.17375
1.01937	2.173594
1.02187	2.173439
1.02437	2.173284
1.02687	2.173131
1.02938	2.172978
1.0319	2.172826
1.03442	2.172675
1.03695	2.172524
1.03949	2.172375
1.04203	2.172226
1.04458	2.172077
1.04713	2.17193
1.04969	2.171783
1.05226	2.171638
1.05483	2.171492
1.05741	2.171348
1.06	2.171204

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: —

KTaO₃ (Potassium tantalate): all datasets

Fujii and Sakudo 1976: n 0.4–1.06 µm n 0.4–1.06 µm default

About KTaO3 (Potassium tantalate)

Potassium tantalate (KTaO₃) is a perovskite-structured crystal that has garnered interest in the field of optics and electronics. With its good mechanical and optical properties, KTaO₃ serves as a substrate for epitaxial growth of various complex oxides. Additionally, it is used in a variety of applications, including electro-optic modulators, pyroelectric detectors, and nonlinear optics. The material is transparent in the visible and infrared regions, making it valuable for a range of light-based technologies. It is generally non-toxic but should be handled with the usual precautions for chemicals and materials.

KTaO3 - The Materials Project

More about KTaO3 (Potassium tantalate) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/KTaO3/nk/Fujii.yml
ID: ds_a1f49beba3d0
API: /v1/datasets/ds_a1f49beba3d0

Plot