Optical constants

Refractive index of Al2O3 (Aluminium sesquioxide, Sapphire, Alumina)

Boidin et al. 2016: n 0.3–18 µm

Data
tabulated n
Range
0.3–18 µm
Points
424
State
amorphous
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.3–18 µm
Refractive index n
1.67983
Extinction coefficient k
0
Permittivity ε1
2.82185
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.0625 µm⁻¹
Group index ng
1.71656
Group velocity dispersion
— fs²/mm
Dispersion parameter D
— 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

# Al2O3 (Aluminium sesquioxide, Sapphire, Alumina): Boidin et al. 2016: n 0.3–18 µm
al2o3 = ls.fetch_refractiveindex("main", "Al2O3", "Boidin", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(al2o3.range_nm)  # (300, 18003) nm
eps = 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.

Comments and conditions

Thin films of amorphous alumina were fabricated using pulsed laser deposition in vacuum.
Influence of deposition parameters, specifically deposition time under vacuum and partial pressure of argon, is discussed in the original publication.

References

R. Boidin, T. Halenkovič, V. Nazabal, L. Beneš, P. Němec. Pulsed laser deposited alumina thin films. Ceramics International 42, 1177-1182 (2016) (Numerical data kindly provided by Tomáš Halenkovič)

Cite

Rémi Boidin, Tomáš Halenkovič, Virginie Nazabal, Ludvík Beneš and Petr Němec. Pulsed laser deposited alumina thin films. Ceramics International, 42, 1177-1182 (2016), doi:10.1016/j.ceramint.2015.09.048; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

424 rows as published
Al2O3 (Aluminium sesquioxide, Sapphire, Alumina), Boidin et al. 2016: n 0.3–18 µm: n and k versus wavelength
λ (µm)n
0.31.73756
0.321.72717
0.341.71886
0.361.7121
0.381.70652
0.41.70185
0.421.69791
0.441.69454
0.461.69164
0.481.68912
0.51.68691
0.521.68496
0.541.68324
0.561.68169
0.581.68031
0.61.67906
0.621.67792
0.641.67689
0.661.67594
0.681.67507
0.71.67427
0.721.67353
0.741.67283
0.761.67219
0.781.67158
0.81.67101
0.821.67047
0.841.66996
0.861.66948
0.881.66902
0.91.66858
0.921.66816
0.941.66776
0.961.66737
0.981.66699
1.01.66663
1.021.66628
1.041.66594
1.061.66561
1.081.66528
1.11.66496
1.121.66465
1.141.66435
1.161.66405
1.181.66376
1.21.66347
1.221.66318
1.241.6629
1.261.66262
1.281.66234
1.31.66207
1.321.6618
1.341.66152
1.361.66125
1.381.66099
1.41.66072
1.421.66045
1.441.66019
1.461.65992
1.481.65965
1.51.65939
1.521.65912
1.541.65886
1.561.65859
1.581.65832
1.61.65805
1.621.65778
1.641.65751
1.661.65724
1.681.65697
1.71.6567
1.721.65642
1.741.65615
1.761.65587
1.781.65559
1.81.65531
1.821.65503
1.841.65475
1.861.65446
1.881.65418
1.91.65389
1.921.6536
1.941.6533
1.961.65301
1.981.65271
2.01.65241
2.021.65211
2.041.65181
2.061.6515
2.081.6512
2.11.65089
2.121.65057
2.141.65026
2.161.64994
2.181.64962
2.21.6493
2.221.64898
2.241.64865
2.261.64832
2.281.64799
2.31.64765
2.31881.64733
2.33981.64698
2.35681.64669
2.37841.64632
2.3961.64601
2.41831.64562
2.43651.6453
2.45961.64489
2.47841.64455
2.49751.6442
2.51691.64385
2.53661.64349
2.55671.64312
2.5771.64274
2.59761.64235
2.61861.64195
2.641.64155
2.65621.64123
2.67821.64081
2.69491.64048
2.71751.64004
2.73471.6397
2.75791.63923
2.77561.63887
2.79961.63839
2.81791.63801
2.83641.63763
2.85511.63724
2.87411.63685
2.89981.6363
2.91941.63589
2.93931.63546
2.95941.63503
2.97981.63458
2.99361.63428
3.01451.63382
3.03571.63335
3.05711.63287
3.07891.63238
3.09361.63205
3.11591.63153
3.13861.63101
3.15381.63066
3.1771.63012
3.19271.62975
3.21641.62918
3.23251.6288
3.25691.62821
3.27331.62781
3.29831.6272
3.31521.62679
3.33221.62636
3.35811.62572
3.37561.62528
3.39331.62483
3.41111.62437
3.43831.62368
3.45661.6232
3.47511.62272
3.49391.62223
3.51281.62172
3.5321.62122
3.55131.6207
3.57091.62017
3.59071.61963
3.61071.61908
3.63091.61853
3.65131.61796
3.6721.61738
3.6931.61679
3.71411.61619
3.73551.61558
3.75721.61496
3.77911.61432
3.79011.614
3.81241.61335
3.8351.61268
3.85781.612
3.86931.61165
3.89261.61095
3.91611.61024
3.93991.60951
3.95191.60914
3.97621.60839
3.98841.608
4.01311.60723
4.03811.60644
4.05071.60603
4.07621.60522
4.0891.6048
4.1151.60396
4.12811.60353
4.15461.60266
4.16791.60221
4.19491.60131
4.20851.60086
4.2361.59992
4.24991.59945
4.2781.59849
4.29211.598
4.30641.5975
4.33521.59649
4.34981.59598
4.37911.59494
4.3941.59441
4.40891.59387
4.43911.59278
4.45441.59222
4.46971.59166
4.48521.59109
4.51651.58993
4.53231.58933
4.54821.58874
4.56421.58813
4.59651.5869
4.61291.58627
4.62941.58563
4.6461.58498
4.67951.58367
4.69651.583
4.71361.58232
4.73081.58163
4.74811.58093
4.76551.58023
4.78311.57951
4.81871.57805
4.83671.57731
4.85481.57655
4.8731.57579
4.89141.57501
4.911.57423
4.92861.57343
4.94741.57262
4.96641.5718
4.98551.57097
5.00471.57013
5.02411.56928
5.04371.56841
5.06341.56753
5.08321.56664
5.10331.56573
5.12341.56482
5.14381.56388
5.16431.56294
5.18491.56198
5.20571.561
5.22671.56002
5.24791.55901
5.26921.55799
5.29071.55696
5.31241.55591
5.33431.55484
5.35631.55375
5.37851.55265
5.40091.55153
5.42351.5504
5.44631.54924
5.46931.54807
5.49251.54687
5.51591.54566
5.53941.54443
5.56321.54317
5.58721.5419
5.61141.5406
5.63581.53928
5.66041.53794
5.68521.53657
5.71031.53518
5.73551.53377
5.7611.53233
5.78671.53087
5.81271.52937
5.83891.52786
5.86531.52631
5.89191.52473
5.91881.52313
5.9461.5215
5.97341.51983
6.00111.51813
6.0291.5164
6.05711.51464
6.08561.51284
6.11431.511
6.14331.50913
6.17251.50722
6.2021.50527
6.23191.50329
6.2621.50126
6.29241.49918
6.32311.49707
6.35411.4949
6.38541.4927
6.4171.49044
6.44891.48813
6.48111.48577
6.51371.48336
6.54661.48089
6.57981.47837
6.61341.47579
6.64731.47315
6.68161.47044
6.71621.46767
6.75121.46483
6.78651.46192
6.82231.45894
6.85831.45589
6.89481.45276
6.93171.44954
6.9691.44625
7.00661.44286
7.04471.43939
7.08321.43582
7.12211.43216
7.16151.42839
7.20131.42452
7.24151.42054
7.28221.41644
7.32331.41223
7.36491.40789
7.4071.40342
7.44961.39882
7.49261.39408
7.53621.38919
7.58031.38414
7.62491.37893
7.671.37356
7.71561.36801
7.76181.36227
7.80861.35634
7.85591.35021
7.90381.34386
7.95231.33728
8.00141.33047
8.05111.3234
8.10141.31607
8.15241.30846
8.2041.30055
8.25621.29233
8.30911.28377
8.36281.27485
8.41711.26556
8.47211.25586
8.52781.24573
8.58431.23514
8.64151.22405
8.69951.21243
8.75831.20023
8.81791.18742
8.87831.17394
8.93951.15975
9.00161.14477
9.06451.12895
9.12841.11222
9.19311.0945
9.25881.0757
9.32541.05574
9.3931.03453
9.46151.01195
9.53110.98791
9.60170.9623
9.67330.93501
9.74610.90598
9.81990.87515
9.89490.84254
9.9710.80828
10.0480.77268
10.1270.73636
10.2070.70035
10.2880.66616
10.370.63567
10.4530.6108
10.5380.59289
10.6250.58242
10.7130.57913
10.8020.58231
10.8930.59116
10.9850.60493
11.0790.62301
11.1740.64491
11.2720.67024
11.370.6987
11.4710.73004
11.5730.76407
11.6780.8006
11.7840.83946
11.8920.88053
12.0020.92365
12.1140.96867
12.2291.01545
12.3451.06385
12.4641.11369
12.5851.16482
12.7081.21708
12.8341.27028
12.9621.32423
13.0931.37875
13.2271.43366
13.3631.48873
13.5021.54378
13.6451.5986
13.791.65299
13.9381.70675
14.0891.75969
14.2441.81159
14.4031.86229
14.5641.91161
14.731.95938
14.8992.00542
15.0722.04962
15.252.09184
15.4312.13195
15.6172.16987
15.8082.20551
16.0032.23881
16.2032.26973
16.4082.29825
16.6182.32436
16.8342.34808
17.0562.36943
17.2832.38848
17.5172.4053
17.7572.41997
18.0032.43259

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
—