Optical constants

Refractive index of HfO2-Y2O3 (Hafnium dioxide - Yttrium oxide)

Wood et al. 1990: n 0.36–5.0 µm

Data
formula 1
Range
0.365–5 µm
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.365–5 µm
Refractive index n
2.11137
Extinction coefficient k
0
Permittivity ε1
4.4579
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
39.53
Chromatic dispersion dn/dλ
-0.143463 µm⁻¹
Group index ng
2.19567
Group velocity dispersion
273.509 fs²/mm
Dispersion parameter D
-1492.14 ps/(nm·km)
Photon energy
2.11001 eV

ε = (n + ik)², α = 4πk/λ, ng = 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

# HfO2-Y2O3 (Hafnium dioxide - Yttrium oxide): Wood et al. 1990: n 0.36–5.0 µm
hfo2_y2o3 = ls.fetch_refractiveindex("other", "HfO2-Y2O3", "Wood", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hfo2_y2o3.range_nm)  # (365, 5000) nm
eps = hfo2_y2o3.eps([633])  # complex permittivity

Downloads the original record once (pinned to the imported snapshot) and caches it.

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
n2−1=1.9558λ2λ2−0.154942+1.345λ2λ2−0.06342+10.41λ2λ2−27.122

Valid from 0.365 to 5.0 µm.

Coefficients as stored
CiValue
C10.0
C21.9558
C30.15494
C41.345
C50.0634
C610.41
C727.12

Comments and conditions

Cubic hafnia; 20 °C; Y2O3 content: 9.8 mol. %

References

D. L. Wood, K. Nassau, T. Y. Kometani, D. L. Nash. Optical properties of cubic hafnia stabilized with yttria. Appl. Opt. 29, 604-607 (1990)

Cite

D. L. Wood, Kurt Nassau, T. Y. Kometani and D. L. Nash. Optical properties of cubic hafnia stabilized with yttria. Applied Optics, 29, 604 (1990), doi:10.1364/ao.29.000604; 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
HfO2-Y2O3 (Hafnium dioxide - Yttrium oxide), Wood et al. 1990: n 0.36–5.0 µm: n and k versus wavelength
λ (µm)n
0.3652.18418
0.3674022.182485
0.369822.18082
0.3722542.179183
0.3747042.177574
0.377172.175993
0.3796522.17444
0.3821512.172912
0.3846662.171411
0.3871972.169934
0.3897452.168483
0.392312.167056
0.3948922.165653
0.3974912.164273
0.4001072.162916
0.402742.161582
0.4053912.160269
0.4080592.158978
0.4107442.157708
0.4134472.156459
0.4161682.15523
0.4189072.154021
0.4216642.152831
0.4244392.151661
0.4272332.150509
0.4300442.149375
0.4328752.14826
0.4357232.147162
0.4385912.146081
0.4414772.145018
0.4443832.143971
0.4473072.142941
0.4502512.141926
0.4532142.140928
0.4561972.139945
0.4591992.138977
0.4622222.138024
0.4652642.137085
0.4683262.136161
0.4714082.135251
0.474512.134355
0.4776332.133473
0.4807762.132603
0.483942.131747
0.4871252.130904
0.4903312.130074
0.4935582.129256
0.4968062.12845
0.5000762.127656
0.5033672.126873
0.506682.126103
0.5100142.125343
0.5133712.124595
0.5167492.123858
0.520152.123132
0.5235742.122416
0.5270192.12171
0.5304882.121015
0.5339792.12033
0.5374932.119654
0.5410312.118989
0.5445912.118333
0.5481752.117686
0.5517832.117048
0.5554142.11642
0.559072.1158
0.5627492.11519
0.5664522.114587
0.570182.113993
0.5739332.113408
0.577712.112831
0.5815122.112261
0.5853392.1117
0.5891912.111146
0.5930692.1106
0.5969722.110062
0.6009012.109531
0.6048552.109007
0.6088362.10849
0.6128432.10798
0.6168762.107477
0.6209362.106981
0.6250232.106492
0.6291362.106009
0.6332762.105533
0.6374442.105063
0.6416392.104599
0.6458622.104141
0.6501132.103689
0.6543912.103244
0.6586982.102804
0.6630332.102369
0.6673962.101941
0.6717892.101518
0.676212.1011
0.680662.100688
0.685142.100281
0.6896492.099879
0.6941872.099483
0.6987562.099091
0.7033552.098704
0.7079842.098322
0.7126432.097945
0.7173332.097573
0.7220542.097205
0.7268062.096842
0.7315892.096483
0.7364042.096128
0.741252.095778
0.7461292.095432
0.7510392.09509
0.7559822.094752
0.7609572.094419
0.7659652.094089
0.7710062.093763
0.776082.093441
0.7811882.093123
0.7863292.092808
0.7915042.092497
0.7967132.092189
0.8019562.091885
0.8072342.091585
0.8125472.091287
0.8178942.090993
0.8232772.090703
0.8286952.090415
0.8341492.090131
0.8396392.08985
0.8451642.089571
0.8507272.089296
0.8563252.089024
0.8619612.088754
0.8676342.088487
0.8733442.088223
0.8790912.087962
0.8848772.087703
0.89072.087447
0.8965622.087194
0.9024632.086943
0.9084022.086694
0.914382.086448
0.9203982.086204
0.9264562.085963
0.9325532.085724
0.938692.085487
0.9448682.085252
0.9510862.085019
0.9573452.084789
0.9636462.08456
0.9699882.084333
0.9763722.084109
0.9827972.083886
0.9892652.083665
0.9957762.083446
1.002332.083229
1.008932.083013
1.015572.082799
1.022252.082587
1.028982.082376
1.035752.082167
1.042572.08196
1.049432.081754
1.056332.081549
1.063292.081346
1.070282.081145
1.077332.080944
1.084422.080745
1.091552.080547
1.098742.080351
1.105972.080156
1.113252.079961
1.120572.079768
1.127952.079576
1.135372.079386
1.142842.079196
1.150362.079007
1.157942.078819
1.165562.078632
1.173232.078446
1.180952.07826
1.188722.078076
1.196542.077892
1.204422.077709
1.212342.077527
1.220322.077346
1.228352.077165
1.236442.076984
1.244582.076805
1.252772.076626
1.261012.076447
1.269312.076269
1.277662.076091
1.286072.075914
1.294542.075737
1.303062.075561
1.311632.075384
1.320262.075209
1.328952.075033
1.33772.074858
1.34652.074682
1.355362.074507
1.364282.074333
1.373262.074158
1.38232.073983
1.39142.073808
1.400552.073634
1.409772.073459
1.419052.073284
1.428392.07311
1.437792.072935
1.447252.07276
1.456782.072584
1.466362.072409
1.476012.072233
1.485732.072057
1.495512.071881
1.505352.071704
1.515252.071527
1.525232.07135
1.535262.071172
1.545372.070994
1.555542.070815
1.565782.070636
1.576082.070456
1.586452.070276
1.596892.070095
1.60742.069913
1.617982.069731
1.628632.069547
1.639352.069364
1.650142.069179
1.6612.068993
1.671932.068807
1.682932.06862
1.694012.068432
1.705162.068243
1.716382.068053
1.727672.067862
1.739042.06767
1.750492.067476
1.762012.067282
1.773612.067087
1.785282.06689
1.797032.066692
1.808852.066493
1.820762.066292
1.832742.066091
1.84482.065887
1.856942.065683
1.869172.065477
1.881472.065269
1.893852.06506
1.906312.06485
1.918862.064638
1.931492.064424
1.94422.064208
1.956992.063991
1.969872.063772
1.982842.063552
1.995892.063329
2.009022.063105
2.022242.062878
2.035552.06265
2.048952.06242
2.062432.062188
2.076012.061953
2.089672.061717
2.103422.061478
2.117272.061237
2.13122.060994
2.145232.060749
2.159342.060501
2.173552.060251
2.187862.059999
2.202262.059744
2.216752.059486
2.231342.059226
2.246032.058964
2.260812.058698
2.275692.05843
2.290662.058159
2.305742.057886
2.320912.057609
2.336192.05733
2.351562.057048
2.367042.056762
2.382622.056474
2.39832.056182
2.414082.055888
2.429972.05559
2.445962.055289
2.462062.054984
2.478262.054676
2.494572.054365
2.510992.05405
2.527512.053732
2.544152.053409
2.560892.053084
2.577742.052754
2.594712.052421
2.611782.052084
2.628972.051743
2.646272.051398
2.663692.051048
2.681222.050695
2.698872.050338
2.716632.049976
2.734512.04961
2.75252.049239
2.770622.048864
2.788852.048485
2.807212.048101
2.825682.047712
2.844282.047319
2.8632.04692
2.881842.046517
2.90082.046109
2.919892.045695
2.939112.045277
2.958452.044853
2.977922.044424
2.997522.04399
3.017252.04355
3.037112.043105
3.057092.042654
3.077212.042197
3.097472.041734
3.117852.041266
3.138372.040792
3.159022.040311
3.179812.039824
3.200742.039331
3.221812.038832
3.243012.038326
3.264352.037814
3.285842.037294
3.307462.036769
3.329232.036236
3.351142.035696
3.373192.035149
3.395392.034595
3.417742.034034
3.440232.033465
3.462872.032889
3.485662.032305
3.50862.031713
3.531692.031114
3.554932.030506
3.578332.02989
3.601882.029266
3.625582.028634
3.649452.027993
3.673462.027343
3.697642.026685
3.721972.026018
3.746472.025342
3.771132.024656
3.795942.023961
3.820932.023257
3.846072.022543
3.871382.02182
3.896862.021086
3.922512.020343
3.948322.019589
3.974312.018825
4.000462.01805
4.026792.017264
4.053292.016468
4.079972.015661
4.106822.014842
4.133852.014012
4.161052.013171
4.188442.012318
4.2162.011452
4.243752.010575
4.271682.009685
4.299792.008783
4.328092.007869
4.356572.006941
4.385242.006
4.41412.005046
4.443152.004078
4.472392.003097
4.501832.002102
4.531462.001092
4.561282.000069
4.59131.99903
4.621511.997977
4.651931.996908
4.682541.995825
4.713361.994725
4.744381.99361
4.77561.992479
4.807031.991331
4.838671.990167
4.870511.988986
4.902571.987788
4.934831.986572
4.967311.985339
51.984087

Optical transmission calculator

Free-standing sample in vacuum, normal incidence
Method
Transmittance T
—
Reflectance R
—

Fresnel reflection calculator

Direction
Rp
—
Rs
—
R = (Rp+Rs)/2
—
Phase φp
—
Phase φs
—
Brewster angle θB
—
Critical angle θC
—