Optical constants

Refractive index of AlN (Aluminium nitride)

Beliaev et al. 2021: Non-stoichiometric AlN; n,k 2–20 µm

Data
tabulated nk
Range
2.001–20.02 µm
Points
2333
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 2.001–20.02 µm
Refractive index n
1.98205
Extinction coefficient k
0.00346466
Permittivity ε1
3.92851
Permittivity ε2
0.0137342
Absorption coefficient α
68.7807 cm⁻¹
Penetration depth δ = λ/(2πk)
290779 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.0803109 µm⁻¹
Group index ng
2.49042
Group velocity dispersion
— fs²/mm
Dispersion parameter D
— ps/(nm·km)
Photon energy
0.195868 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 (Aluminium nitride): Beliaev et al. 2021: Non-stoichiometric AlN; n,k 2–20 µm
aln = ls.fetch_refractiveindex("main", "AlN", "Beliaev2", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(aln.range_nm)  # (2001.11, 20018.8) nm
eps = aln.eps([6330])  # 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.

Comments and conditions

303 nm thick aluminum nitride (AlN) film deposited by reactive sputtering.

References

1) L. Yu. Beliaev, E. Shkondin, A. V. Lavrinenko, O. Takayama. Thickness-dependent optical properties of aluminum nitride films for mid-infrared wavelengths. J. Vac. Sci. Technol. A 39, 043408 (2021)
2) L. Yu. Beliaev, E. Shkondin, A. V. Lavrinenko, O. Takayama. Erratum: Thickness-dependent optical properties of aluminum nitride films for mid-infrared wavelengths [J. Vac. Sci. Technol. A 39, 043408 (2021)]. J. Vac. Sci. Technol. A 40, 027001 (2022) (Numerical data kindly provided by Osamu Takayama)
  • doi:10.1116/6.0000884 Thickness-dependent optical properties of aluminum nitride films for mid-infrared wavelengths, Journal of Vacuum Science & Technology A: Vacuum, Surfaces, and Films (2021)
  • doi:10.1116/6.0001574 Erratum: “Thickness-dependent optical properties of aluminum nitride films for mid-infrared wavelengths” [J. Vac. Sci. Technol. A 39, 043408 (2021)], Journal of Vacuum Science & Technology A (2022)

Cite

Leonid Yu. Beliaev, Evgeniy Shkondin, Andrei V. Lavrinenko and Osamu Takayama. Thickness-dependent optical properties of aluminum nitride films for mid-infrared wavelengths. Journal of Vacuum Science & Technology A: Vacuum, Surfaces, and Films, 39, 043408 (2021), doi:10.1116/6.0000884; Leonid Yu. Beliaev, Evgeniy Shkondin, Andrei V. Lavrinenko and Osamu Takayama. Erratum: “Thickness-dependent optical properties of aluminum nitride films for mid-infrared wavelengths” [J. Vac. Sci. Technol. A 39, 043408 (2021)]. Journal of Vacuum Science & Technology A, 40, 027001 (2022), doi:10.1116/6.0001574; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

2333 rows as published
AlN (Aluminium nitride), Beliaev et al. 2021: Non-stoichiometric AlN; n,k 2–20 µm: n and k versus wavelength
λ (µm)nk
2.001112.165657.10112e-05
2.001882.165647.1096e-05
2.002662.165627.11806e-05
2.003432.165617.12656e-05
2.00422.16567.13505e-05
2.004982.165597.14357e-05
2.005752.165577.1521e-05
2.006532.165567.16064e-05
2.007312.165557.1692e-05
2.008082.165537.17779e-05
2.008862.165527.18637e-05
2.009642.165517.19496e-05
2.010422.16557.20356e-05
2.01122.165487.2122e-05
2.011982.165477.22086e-05
2.012762.165467.22951e-05
2.013542.165447.23817e-05
2.014332.165437.24684e-05
2.015112.165427.25555e-05
2.015892.165417.26425e-05
2.016682.165397.27297e-05
2.017462.165387.28172e-05
2.018252.165377.29048e-05
2.019032.165357.29924e-05
2.019822.165347.30802e-05
2.020612.165337.31682e-05
2.021392.165327.32563e-05
2.022182.16537.33445e-05
2.022972.165297.3433e-05
2.023762.165287.35216e-05
2.024552.165267.36103e-05
2.025342.165257.36989e-05
2.026132.165247.3788e-05
2.026932.165227.38769e-05
2.027722.165217.39663e-05
2.028512.16527.40556e-05
2.029312.165187.41452e-05
2.03012.165177.42348e-05
2.03092.165167.43247e-05
2.031692.165147.44147e-05
2.032492.165137.45047e-05
2.033282.165127.45951e-05
2.034082.16517.46856e-05
2.034882.165097.47761e-05
2.035682.165087.48668e-05
2.036482.165067.49576e-05
2.037282.165057.50486e-05
2.038082.165047.51399e-05
2.038882.165027.52311e-05
2.039682.165017.53225e-05
2.040492.1657.54142e-05
2.041292.164987.55059e-05
2.042092.164977.55979e-05
2.04292.164957.56898e-05
2.04372.164947.57822e-05
2.044512.164937.58743e-05
2.045322.164927.59669e-05
2.046122.16497.60596e-05
2.046932.164897.61524e-05
2.047742.164877.62453e-05
2.048552.164867.63384e-05
2.049362.164857.64317e-05
2.050172.164837.65251e-05
2.050982.164827.66187e-05
2.051792.16487.67125e-05
2.05262.164797.68062e-05
2.053422.164787.69002e-05
2.054232.164777.69945e-05
2.055042.164757.70887e-05
2.055862.164747.71832e-05
2.056672.164727.7278e-05
2.057492.164717.73727e-05
2.058312.16477.74677e-05
2.059122.164687.75629e-05
2.059942.164677.76581e-05
2.060762.164657.77535e-05
2.061582.164647.78492e-05
2.06242.164637.79451e-05
2.063222.164617.8041e-05
2.064042.16467.81369e-05
2.064862.164597.82332e-05
2.065692.164577.83296e-05
2.066512.164567.84263e-05
2.067332.164547.85229e-05
2.068162.164537.86197e-05
2.068982.164517.87168e-05
2.069812.16457.88138e-05
2.070642.164497.89113e-05
2.071462.164477.90089e-05
2.072292.164467.91064e-05
2.073122.164447.92042e-05
2.073952.164437.93021e-05
2.074782.164417.94005e-05
2.075612.16447.94987e-05
2.076442.164397.95974e-05
2.077272.164377.96958e-05
2.078112.164367.97948e-05
2.078942.164357.98937e-05
2.079772.164337.99929e-05
2.080612.164328.00921e-05
2.081442.16438.01917e-05
2.082282.164298.02913e-05
2.083122.164278.03909e-05
2.083952.164268.04911e-05
2.084792.164248.05912e-05
2.085632.164238.06915e-05
2.086472.164228.07919e-05
2.087312.16428.08927e-05
2.088152.164198.09935e-05
2.088992.164178.10945e-05
2.089832.164168.11955e-05
2.090682.164148.12969e-05
2.091522.164138.13984e-05
2.092362.164118.15001e-05
2.093212.16418.16019e-05
2.094052.164088.17038e-05
2.09492.164078.1806e-05
2.095752.164068.19084e-05
2.096592.164048.2011e-05
2.097442.164038.21136e-05
2.098292.164018.22166e-05
2.099142.1648.23195e-05
2.099992.163988.24228e-05
2.100842.163978.25262e-05
2.101692.163958.26296e-05
2.102542.163948.27334e-05
2.10342.163928.28373e-05
2.104252.163918.29414e-05
2.105112.163898.30457e-05
2.105962.163888.315e-05
2.106822.163868.32548e-05
2.107672.163858.33596e-05
2.108532.163838.34643e-05
2.109392.163828.35696e-05
2.110252.16388.36748e-05
2.111112.163798.37804e-05
2.111972.163778.38861e-05
2.112832.163768.39921e-05
2.113692.163748.4098e-05
2.114552.163738.42042e-05
2.115412.163718.43106e-05
2.116282.16378.44173e-05
2.117142.163688.45239e-05
2.1182.163678.4631e-05
2.118872.163658.47381e-05
2.119742.163648.48453e-05
2.12062.163628.49529e-05
2.121472.163618.50605e-05
2.122342.163598.51683e-05
2.123212.163588.52763e-05
2.124082.163568.53847e-05
2.124952.163558.54929e-05
2.125822.163538.56017e-05
2.126692.163528.57105e-05
2.127562.16358.58194e-05
2.128442.163498.59285e-05
2.129312.163478.6038e-05
2.130192.163468.61474e-05
2.131062.163448.62571e-05
2.131942.163428.63671e-05
2.132822.163418.64772e-05
2.133692.163398.65874e-05
2.134572.163388.66978e-05
2.135452.163368.68084e-05
2.136332.163358.69193e-05
2.137212.163338.70304e-05
2.138092.163318.71417e-05
2.138972.16338.7253e-05
2.139862.163288.73646e-05
2.140742.163278.74764e-05
2.141632.163258.75885e-05
2.142512.163248.77005e-05
2.14342.163228.7813e-05
2.144282.163218.79255e-05
2.145172.163198.80383e-05
2.146062.163178.81513e-05
2.146952.163168.82644e-05
2.147842.163148.83779e-05
2.148732.163138.84913e-05
2.149622.163118.8605e-05
2.150512.16318.87189e-05
2.15142.163088.88331e-05
2.152292.163068.89474e-05
2.153192.163058.9062e-05
2.154082.163038.91766e-05
2.154982.163028.92917e-05
2.155872.1638.94068e-05
2.156772.162988.95222e-05
2.157672.162978.96377e-05
2.158572.162958.97533e-05
2.159462.162948.98693e-05
2.160362.162928.99856e-05
2.161272.16299.01018e-05
2.162172.162899.02183e-05
2.163072.162879.0335e-05
2.163972.162859.0452e-05
2.164872.162849.05692e-05
2.165782.162829.06866e-05
2.166682.162819.0804e-05
2.167592.162799.09217e-05
2.16852.162779.10398e-05
2.16942.162769.11579e-05
2.170312.162749.12763e-05
2.171222.162739.13949e-05
2.172132.162719.15137e-05
2.173042.162699.16325e-05
2.173952.162689.17518e-05
2.174862.162669.18713e-05
2.175782.162649.19909e-05
2.176692.162639.21106e-05
2.17762.162619.22306e-05
2.178522.162599.23509e-05
2.179432.162589.24714e-05
2.180352.162569.25921e-05
2.181272.162549.2713e-05
2.182192.162539.28341e-05
2.183112.162519.29553e-05
2.184022.162499.3077e-05
2.184952.162489.31986e-05
2.185872.162469.33205e-05
2.186792.162459.34428e-05
2.187712.162439.35651e-05
2.188632.162419.36878e-05
2.189562.162399.38106e-05
2.190482.162389.39336e-05
2.191412.162369.40569e-05
2.192342.162349.41802e-05
2.193262.162339.43039e-05
2.194192.162319.44279e-05
2.195122.162299.4552e-05
2.196052.162289.46764e-05
2.196982.162269.48008e-05
2.197912.162249.49258e-05
2.198842.162239.50507e-05
2.199782.162219.51758e-05
2.200712.162199.53012e-05
2.201652.162179.54271e-05
2.202582.162169.55529e-05
2.203522.162149.5679e-05
2.204452.162129.58053e-05
2.205392.162119.59319e-05
2.206332.162099.60587e-05
2.207272.162079.61857e-05
2.208212.162059.6313e-05
2.209152.162049.64402e-05
2.210092.162029.6568e-05
2.211032.1629.66959e-05
2.211982.161999.68242e-05
2.212922.161979.69524e-05
2.213872.161959.70811e-05
2.214812.161939.72099e-05
2.215762.161929.73389e-05
2.216712.16199.74682e-05
2.217652.161889.75979e-05
2.21862.161869.77274e-05
2.219552.161859.78576e-05
2.22052.161839.79876e-05
2.221452.161819.81182e-05
2.222412.16189.82489e-05
2.223362.161789.83797e-05
2.224312.161769.8511e-05
2.225272.161749.86422e-05
2.226222.161729.87739e-05
2.227182.161719.89059e-05
2.228142.161699.90378e-05
2.22912.161679.91703e-05
2.230052.161659.93027e-05
2.231012.161649.94356e-05
2.231972.161629.95687e-05
2.232932.16169.97019e-05
2.23392.161589.98354e-05
2.234862.161569.99693e-05
2.235822.161550.000100103
2.236792.161530.000100237
2.237752.161510.000100372
2.238722.161490.000100507
2.239692.161470.000100642
2.240652.161460.000100777
2.241622.161440.000100912
2.242592.161420.000101048
2.243562.16140.000101184
2.244532.161380.00010132
2.245512.161370.000101457
2.246482.161350.000101593
2.247452.161330.00010173
2.248432.161310.000101868
2.24942.161290.000102005
2.250382.161280.000102143
2.251362.161260.000102281
2.252332.161240.000102419
2.253312.161220.000102557
2.254292.16120.000102696
2.255272.161180.000102835
2.256262.161170.000102974
2.257242.161150.000103113
2.258222.161130.000103253
2.25922.161110.000103393
2.260192.161090.000103534
2.261182.161070.000103674
2.262162.161060.000103815
2.263152.161040.000103956
2.264142.161020.000104097
2.265132.1610.000104238
2.266122.160980.00010438
2.267112.160960.000104522
2.26812.160940.000104665
2.269092.160920.000104807
2.270092.16090.00010495
2.271082.160890.000105093
2.272072.160870.000105236
2.273072.160850.00010538
2.274072.160830.000105524
2.275072.160810.000105668
2.276062.160790.000105812
2.277062.160770.000105957
2.278062.160750.000106102
2.279072.160740.000106247
2.280072.160720.000106392
2.281072.16070.000106538
2.282082.160680.000106684
2.283082.160660.00010683
2.284092.160640.000106977
2.285092.160620.000107124
2.28612.16060.000107271
2.287112.160580.000107418
2.288122.160560.000107566
2.289132.160540.000107714
2.290142.160530.000107862
2.291152.160510.00010801
2.292162.160490.000108159
2.293182.160470.000108308
2.294192.160450.000108457
2.295212.160430.000108607
2.296222.160410.000108756
2.297242.160390.000108907
2.298262.160370.000109057
2.299282.160350.000109208
2.30032.160330.000109359
2.301322.160310.00010951
2.302342.160290.000109661
2.303372.160270.000109813
2.304392.160250.000109965
2.305412.160230.000110117
2.306442.160210.00011027
2.307472.160190.000110423
2.308492.160170.000110576
2.309522.160160.00011073
2.310552.160130.000110883
2.311582.160120.000111038
2.312612.160090.000111192
2.313642.160070.000111347
2.314682.160060.000111501
2.315712.160030.000111657
2.316742.160020.000111812
2.317782.160.000111968
2.318822.159970.000112124
2.319852.159960.00011228
2.320892.159940.000112437
2.321932.159910.000112594
2.322972.15990.000112751
2.324012.159870.000112909
2.325062.159850.000113067
2.32612.159830.000113225
2.327142.159810.000113383
2.328192.159790.000113542
2.329232.159770.000113701
2.330282.159750.000113861
2.331332.159730.00011402
2.332382.159710.00011418
2.333432.159690.00011434
2.334482.159670.000114501
2.335532.159650.000114662
2.336582.159630.000114823
2.337642.159610.000114984
2.338692.159590.000115146
2.339752.159570.000115308
2.34082.159550.000115471
2.341862.159530.000115633
2.342922.159510.000115796
2.343982.159490.00011596
2.345042.159470.000116123
2.34612.159440.000116287
2.347162.159420.000116451
2.348222.15940.000116616
2.349292.159380.000116781
2.350352.159360.000116946
2.351422.159340.000117111
2.352482.159320.000117277
2.353552.15930.000117443
2.354622.159280.00011761
2.355692.159260.000117777
2.356762.159240.000117944
2.357832.159220.000118111
2.358912.159190.000118279
2.359982.159170.000118447
2.361052.159150.000118615
2.362132.159130.000118784
2.363212.159110.000118953
2.364282.159090.000119122
2.365362.159070.000119292
2.366442.159040.000119462
2.367522.159020.000119632
2.36862.1590.000119803
2.369692.158980.000119974
2.370772.158960.000120145
2.371852.158940.000120317
2.372942.158920.000120489
2.374032.15890.000120661
2.375112.158870.000120834
2.37622.158850.000121007
2.377292.158830.00012118
2.378382.158810.000121354
2.379472.158790.000121528
2.380572.158760.000121702
2.381662.158740.000121876
2.382762.158720.000122051
2.383852.15870.000122227
2.384952.158680.000122402
2.386042.158650.000122578
2.387142.158630.000122755
2.388242.158610.000122931
2.389342.158590.000123108
2.390442.158570.000123286
2.391552.158550.000123463
2.392652.158520.000123642
2.393762.15850.00012382
2.394862.158480.000123998
2.395972.158460.000124178
2.397082.158430.000124357
2.398182.158410.000124537
2.399292.158390.000124717
2.400412.158370.000124897
2.401522.158350.000125078
2.402632.158320.000125259
2.403742.15830.000125441
2.404862.158280.000125623
2.405972.158260.000125805
2.407092.158230.000125988
2.408212.158210.000126171
2.409332.158190.000126354
2.410452.158170.000126538
2.411572.158140.000126722
2.412692.158120.000126906
2.413822.15810.000127091
2.414942.158080.000127276
2.416062.158050.000127461
2.417192.158030.000127647
2.418322.158010.000127834
2.419452.157980.00012802
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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
—