Optical constants

Refractive index of AlN-Al2O3 (Aluminium oxynitride, ALON)

Hartnett et al. 1998: 6.69 at.% N; n 0.24–5.6 µm

Data
formula 1
Range
0.24–5.6 µm
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.24–5.6 µm
Refractive index n
1.78891
Extinction coefficient k
0
Permittivity ε1
3.20022
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
58.205
Chromatic dispersion dn/dλ
-0.0701377 µm⁻¹
Group index ng
1.83013
Group velocity dispersion
122.359 fs²/mm
Dispersion parameter D
-667.534 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

# AlN-Al2O3 (Aluminium oxynitride, ALON): Hartnett et al. 1998: 6.69 at.% N; n 0.24–5.6 µm
aln_al2o3 = ls.fetch_refractiveindex("other", "AlN-Al2O3", "Hartnett-6.69", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(aln_al2o3.range_nm)  # (240, 5600) nm
eps = aln_al2o3.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=2.1375λ2λ2−0.102562+4.5817λ2λ2−18.8682

Valid from 0.24 to 5.6 µm.

Coefficients as stored
CiValue
C10.0
C22.1375
C30.10256
C44.5817
C518.868

Comments and conditions

Nitrogen content: 6.69 at.%

References

T. M. Hartnett, S. D Bernstein, E. A Maguire, R. W Tustison. Optical properties of ALON (aluminum oxynitride). IR Phys. Technol, 39, 203-211 (1998)

Cite

T.M Hartnett, S.D Bernstein, E.A Maguire and R.W Tustison. Optical properties of ALON (aluminum oxynitride). Infrared Physics & Technology, 39, 203-211 (1998), doi:10.1016/s1350-4495(98)00007-3; 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
AlN-Al2O3 (Aluminium oxynitride, ALON), Hartnett et al. 1998: 6.69 at.% N; n 0.24–5.6 µm: n and k versus wavelength
λ (µm)n
0.241.901132
0.2419021.898728
0.2438191.896376
0.2457521.894073
0.24771.891819
0.2496631.889612
0.2516421.88745
0.2536361.885333
0.2556461.88326
0.2576721.881229
0.2597151.879239
0.2617731.87729
0.2638481.875381
0.2659391.873509
0.2680471.871676
0.2701711.869878
0.2723121.868117
0.2744711.86639
0.2766461.864698
0.2788391.863038
0.2810491.861412
0.2832761.859816
0.2855211.858252
0.2877841.856718
0.2900651.855214
0.2923641.853738
0.2946811.852291
0.2970171.850871
0.2993711.849479
0.3017441.848112
0.3041351.846772
0.3065461.845456
0.3089751.844165
0.3114241.842899
0.3138921.841656
0.316381.840436
0.3188881.839239
0.3214151.838063
0.3239631.83691
0.326531.835777
0.3291181.834665
0.3317271.833574
0.3343561.832502
0.3370061.83145
0.3396771.830417
0.3423691.829402
0.3450821.828405
0.3478171.827427
0.3505741.826466
0.3533531.825522
0.3561531.824595
0.3589761.823684
0.3618211.822789
0.3646891.82191
0.3675791.821047
0.3704931.820198
0.3734291.819365
0.3763891.818546
0.3793721.817741
0.3823791.81695
0.3854091.816173
0.3884641.81541
0.3915431.814659
0.3946461.813921
0.3977741.813196
0.4009261.812484
0.4041041.811783
0.4073071.811094
0.4105351.810418
0.4137891.809752
0.4170681.809098
0.4203741.808454
0.4237061.807822
0.4270641.8072
0.4304491.806588
0.433861.805987
0.4372991.805396
0.4407651.804814
0.4442581.804242
0.4477791.803679
0.4513281.803126
0.4549051.802582
0.4585111.802046
0.4621451.80152
0.4658071.801002
0.4694991.800492
0.473221.79999
0.4769711.799497
0.4807511.799011
0.4845621.798533
0.4884021.798063
0.4922731.797601
0.4961751.797145
0.5001071.796697
0.5040711.796256
0.5080661.795822
0.5120931.795395
0.5161511.794974
0.5202421.79456
0.5243651.794152
0.5285211.79375
0.532711.793355
0.5369321.792966
0.5411881.792583
0.5454771.792205
0.5498011.791833
0.5541581.791467
0.558551.791107
0.5629771.790751
0.5674391.790401
0.5719361.790057
0.5764691.789717
0.5810381.789382
0.5856431.789053
0.5902851.788728
0.5949631.788407
0.5996791.788092
0.6044321.787781
0.6092221.787474
0.6140511.787171
0.6189181.786873
0.6238231.786579
0.6287671.78629
0.6337511.786004
0.6387731.785722
0.6438361.785444
0.6489391.78517
0.6540821.784899
0.6592661.784632
0.6644921.784369
0.6697581.784109
0.6750661.783853
0.6804171.783599
0.685811.783349
0.6912451.783103
0.6967241.782859
0.7022461.782619
0.7078111.782381
0.7134211.782147
0.7190761.781915
0.7247751.781686
0.7305191.78146
0.7363091.781236
0.7421451.781016
0.7480271.780797
0.7539551.780581
0.7599311.780368
0.7659541.780157
0.7720251.779948
0.7781441.779742
0.7843111.779538
0.7905271.779336
0.7967931.779136
0.8031081.778938
0.8094731.778742
0.8158881.778548
0.8223551.778356
0.8288731.778166
0.8354421.777978
0.8420641.777791
0.8487371.777606
0.8554641.777423
0.8622441.777241
0.8690781.777061
0.8759661.776883
0.8829091.776705
0.8899071.77653
0.896961.776355
0.9040691.776182
0.9112341.77601
0.9184561.77584
0.9257361.77567
0.9330731.775502
0.9404681.775335
0.9479221.775169
0.9554351.775004
0.9630071.77484
0.970641.774676
0.9783331.774514
0.9860871.774352
0.9939021.774192
1.001781.774032
1.009721.773872
1.017721.773714
1.025791.773556
1.033921.773399
1.042111.773242
1.050371.773085
1.05871.772929
1.067091.772774
1.075551.772619
1.084071.772464
1.092661.77231
1.101321.772156
1.110051.772002
1.118851.771848
1.127721.771694
1.136651.771541
1.145661.771387
1.154741.771234
1.16391.771081
1.173121.770927
1.182421.770773
1.191791.77062
1.201231.770466
1.210761.770312
1.220351.770157
1.230021.770003
1.239771.769848
1.24961.769692
1.25951.769537
1.269481.769381
1.279551.769224
1.289691.769067
1.299911.768909
1.310211.76875
1.32061.768591
1.331061.768431
1.341611.768271
1.352251.76811
1.362961.767948
1.373771.767785
1.384651.767621
1.395631.767456
1.406691.76729
1.417841.767123
1.429081.766955
1.44041.766786
1.451821.766616
1.463321.766445
1.474921.766272
1.486611.766098
1.498391.765923
1.510271.765746
1.522241.765568
1.534311.765388
1.546471.765207
1.558721.765024
1.571081.76484
1.583531.764654
1.596081.764466
1.608731.764277
1.621481.764085
1.634331.763892
1.647281.763697
1.660341.7635
1.67351.763301
1.686761.763099
1.700131.762896
1.713611.762691
1.727191.762483
1.740881.762273
1.754671.76206
1.768581.761846
1.78261.761628
1.796731.761409
1.810971.761186
1.825321.760961
1.839791.760734
1.854371.760503
1.869071.76027
1.883881.760034
1.898811.759795
1.913861.759553
1.929031.759307
1.944321.759059
1.959731.758808
1.975261.758553
1.990921.758295
2.006691.758033
2.02261.757768
2.038631.757499
2.054791.757227
2.071071.756951
2.087491.756672
2.104031.756388
2.120711.756101
2.137521.755809
2.154461.755513
2.171531.755214
2.188741.75491
2.206091.754601
2.223581.754289
2.24121.753971
2.258961.753649
2.276871.753323
2.294911.752991
2.31311.752655
2.331431.752314
2.349911.751968
2.368541.751616
2.387311.75126
2.406231.750898
2.42531.75053
2.444521.750157
2.46391.749778
2.483431.749394
2.503111.749003
2.522951.748607
2.542941.748204
2.56311.747796
2.583411.747381
2.603891.746959
2.624531.746531
2.645331.746096
2.666291.745654
2.687421.745206
2.708721.74475
2.730191.744287
2.751831.743817
2.773641.743339
2.795621.742853
2.817781.74236
2.840111.741859
2.862621.74135
2.885311.740832
2.908181.740306
2.931231.739772
2.954461.739229
2.977881.738676
3.001481.738115
3.025271.737545
3.049251.736965
3.073411.736376
3.097771.735777
3.122321.735168
3.147071.734549
3.172011.73392
3.197151.73328
3.222491.732629
3.248031.731968
3.273781.731295
3.299721.730612
3.325881.729916
3.352241.729209
3.378811.72849
3.405581.727758
3.432581.727014
3.459781.726258
3.48721.725488
3.514841.724706
3.54271.723909
3.570781.7231
3.599081.722276
3.62761.721438
3.656351.720585
3.685331.719718
3.714541.718835
3.743981.717937
3.773661.717024
3.803571.716094
3.833711.715148
3.86411.714185
3.894721.713206
3.925591.712209
3.95671.711194
3.988061.710161
4.019671.70911
4.051531.70804
4.083641.706951
4.116011.705842
4.148631.704714
4.181511.703565
4.214651.702395
4.248051.701204
4.281721.699991
4.315661.698757
4.349861.697499
4.384341.696219
4.419091.694915
4.454111.693587
4.489411.692235
4.5251.690857
4.560861.689454
4.597011.688025
4.633441.686569
4.670161.685086
4.707181.683575
4.744491.682035
4.782091.680466
4.819991.678868
4.858191.677239
4.89671.675578
4.935511.673886
4.974621.672162
5.014051.670404
5.053791.668613
5.093851.666786
5.134221.664924
5.174911.663025
5.215931.661089
5.257271.659115
5.298931.657102
5.340931.65505
5.383261.652956
5.425931.65082
5.468931.648641
5.512281.646419
5.555971.644151
5.61.641837

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
—