Optical constants

Refractive index of AlAs-GaAs (Aluminium gallium arsenide, AlGaAs)

Perner et al. 2023: n 2.0–7.1 µm; 92.9% Al

Data
formula 1
Range
2–7.1 µm
Temperature
295 K
State
crystalline
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 2–7.1 µm
Refractive index n
2.87239
Extinction coefficient k
0
Permittivity ε1
8.25061
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.00337912 µm⁻¹
Group index ng
2.88513
Group velocity dispersion
256.484 fs²/mm
Dispersion parameter D
-33.9921 ps/(nm·km)
Photon energy
0.328871 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

# AlAs-GaAs (Aluminium gallium arsenide, AlGaAs): Perner et al. 2023: n 2.0–7.1 µm; 92.9% Al
alas_gaas = ls.fetch_refractiveindex("other", "AlAs-GaAs", "Perner-92.9", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(alas_gaas.range_nm)  # (2000, 7100) nm
eps = alas_gaas.eps([3770])  # 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=7.214199525964231λ2λ2−0.267149748832579752

Valid from 2.0 to 7.1 µm.

Coefficients as stored
CiValue
C10.0
C27.214199525964231
C30.26714974883257975

Comments and conditions

Al0.929Ga0.071As (interpolation for other alloy ratios possible). Relative standard uncertainty ≤3.3×10-4 over whole range. Measured in a high-purity GaAs/AlGaAs crystalline thin-film multilayer. Sample grown via molecular beam epitaxy on GaAs seed wafer. Optical measurements at 2.21 mbar and 22 °C.

Conditions

temperature
295 K

References

L. W. Perner, G.-W. Truong, D. Follman, M. Prinz, G. Winkler, S. Puchegger, G. D. Cole, O. H. Heckl. Simultaneous measurement of mid-infrared refractive indices in thin-film heterostructures: Methodology and results for GaAs/AlGaAs. Phys. Rev. Res. 5, 033048 (2023) (Data kindly provided by the authors)
  • doi:10.1103/physrevresearch.5.033048 Simultaneous measurement of mid-infrared refractive indices in thin-film heterostructures: Methodology and results for GaAs/AlGaAs, Physical Review Research (2023)

Cite

Lukas W. Perner et al.. Simultaneous measurement of mid-infrared refractive indices in thin-film heterostructures: Methodology and results for GaAs/AlGaAs. Physical Review Research, 5, 033048 (2023), doi:10.1103/physrevresearch.5.033048; 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
AlAs-GaAs (Aluminium gallium arsenide, AlGaAs), Perner et al. 2023: n 2.0–7.1 µm; 92.9% Al: n and k versus wavelength
λ (µm)n
22.888816
2.006362.888669
2.012742.888524
2.019142.88838
2.025562.888236
2.032012.888094
2.038472.887953
2.044952.887812
2.051462.887672
2.057982.887534
2.064532.887396
2.071092.887259
2.077682.887123
2.084292.886987
2.090912.886853
2.097562.88672
2.104242.886587
2.110932.886455
2.117642.886325
2.124382.886195
2.131132.886065
2.137912.885937
2.144712.88581
2.151532.885683
2.158372.885557
2.165242.885432
2.172122.885308
2.179032.885184
2.185962.885062
2.192912.88494
2.199892.884819
2.206882.884699
2.21392.884579
2.220942.884461
2.228012.884343
2.235092.884226
2.24222.884109
2.249332.883994
2.256492.883879
2.263662.883764
2.270862.883651
2.278082.883538
2.285332.883426
2.29262.883315
2.299892.883205
2.30722.883095
2.314542.882986
2.32192.882877
2.329292.88277
2.336692.882663
2.344132.882556
2.351582.882451
2.359062.882346
2.366562.882242
2.374092.882138
2.381642.882035
2.389212.881933
2.396812.881831
2.404442.88173
2.412082.88163
2.419752.881531
2.427452.881432
2.435172.881333
2.442912.881236
2.450682.881138
2.458482.881042
2.46632.880946
2.474142.880851
2.482012.880756
2.48992.880662
2.497822.880569
2.505762.880476
2.513732.880384
2.521732.880292
2.529752.880201
2.537792.880111
2.545872.880021
2.553962.879932
2.562082.879843
2.570232.879755
2.578412.879668
2.586612.879581
2.594832.879494
2.603092.879408
2.611362.879323
2.619672.879238
2.6282.879154
2.636362.87907
2.644742.878987
2.653162.878905
2.661592.878823
2.670062.878741
2.678552.87866
2.687072.878579
2.695612.878499
2.704192.87842
2.712792.878341
2.721422.878263
2.730072.878185
2.738752.878107
2.747462.87803
2.75622.877954
2.764972.877878
2.773762.877802
2.782582.877727
2.791432.877653
2.800312.877579
2.809212.877505
2.818152.877432
2.827112.87736
2.83612.877288
2.845122.877216
2.854172.877145
2.863252.877074
2.872352.877004
2.881492.876934
2.890652.876864
2.899852.876795
2.909072.876727
2.918322.876659
2.92762.876591
2.936912.876524
2.946252.876457
2.955622.876391
2.965022.876325
2.974452.876259
2.983912.876194
2.99342.87613
3.002922.876065
3.012472.876001
3.022062.875938
3.031672.875875
3.041312.875812
3.050982.87575
3.060682.875688
3.070422.875627
3.080182.875566
3.089982.875505
3.099812.875445
3.109662.875385
3.119552.875326
3.129482.875267
3.139432.875208
3.149412.875149
3.159432.875091
3.169482.875034
3.179562.874977
3.189672.87492
3.199812.874863
3.209992.874807
3.22022.874751
3.230442.874696
3.240712.874641
3.251022.874586
3.261362.874532
3.271732.874478
3.282142.874424
3.292582.874371
3.303052.874318
3.313552.874265
3.324092.874213
3.334662.874161
3.345272.874109
3.355912.874058
3.366582.874007
3.377292.873956
3.388032.873906
3.39882.873856
3.409612.873806
3.420462.873757
3.431342.873708
3.442252.873659
3.45322.87361
3.464182.873562
3.47522.873514
3.486252.873467
3.497342.87342
3.508462.873373
3.519622.873326
3.530812.87328
3.542042.873234
3.55332.873188
3.56462.873143
3.575942.873098
3.587312.873053
3.598722.873008
3.610172.872964
3.621652.87292
3.633172.872876
3.644722.872833
3.656312.87279
3.667942.872747
3.679612.872704
3.691312.872662
3.703052.87262
3.714832.872578
3.726642.872536
3.738492.872495
3.750382.872454
3.762312.872413
3.774282.872373
3.786282.872332
3.798322.872293
3.81042.872253
3.822522.872213
3.834682.872174
3.846872.872135
3.859112.872096
3.871382.872058
3.883692.87202
3.896042.871982
3.908432.871944
3.920872.871907
3.933332.871869
3.945842.871832
3.958392.871795
3.970982.871759
3.983612.871723
3.996282.871687
4.008992.871651
4.021742.871615
4.034532.87158
4.047362.871544
4.060232.87151
4.073152.871475
4.08612.87144
4.09912.871406
4.112132.871372
4.125212.871338
4.138332.871304
4.151492.871271
4.16472.871238
4.177942.871205
4.191232.871172
4.204562.871139
4.217932.871107
4.231342.871075
4.24482.871043
4.25832.871011
4.271842.87098
4.285432.870948
4.299062.870917
4.312732.870886
4.326452.870855
4.340212.870825
4.354012.870795
4.367862.870764
4.381752.870734
4.395692.870705
4.409662.870675
4.423692.870646
4.437762.870616
4.451872.870587
4.466032.870559
4.480232.87053
4.494482.870501
4.508782.870473
4.523122.870445
4.53752.870417
4.551932.870389
4.566412.870362
4.580932.870334
4.59552.870307
4.610122.87028
4.624782.870253
4.639492.870226
4.654242.8702
4.669042.870173
4.683892.870147
4.698792.870121
4.713732.870095
4.728722.870069
4.743762.870044
4.758852.870019
4.773982.869993
4.789172.869968
4.80442.869943
4.819682.869919
4.835012.869894
4.850382.86987
4.865812.869845
4.881292.869821
4.896812.869797
4.912382.869773
4.928012.86975
4.943682.869726
4.95942.869703
4.975172.86968
4.9912.869656
5.006872.869634
5.022792.869611
5.038772.869588
5.054792.869566
5.070872.869543
5.0872.869521
5.103172.869499
5.11942.869477
5.135692.869455
5.152022.869434
5.16842.869412
5.184842.869391
5.201332.869369
5.217872.869348
5.234472.869327
5.251122.869307
5.267822.869286
5.284572.869265
5.301382.869245
5.318242.869225
5.335152.869204
5.352122.869184
5.369142.869164
5.386222.869145
5.403352.869125
5.420532.869105
5.437772.869086
5.455062.869067
5.472412.869047
5.489822.869028
5.507282.869009
5.524792.868991
5.542362.868972
5.559992.868953
5.577672.868935
5.595412.868917
5.613212.868898
5.631062.86888
5.648972.868862
5.666932.868844
5.684962.868827
5.703042.868809
5.721172.868791
5.739372.868774
5.757622.868757
5.775932.868739
5.79432.868722
5.812732.868705
5.831222.868688
5.849762.868672
5.868372.868655
5.887032.868638
5.905752.868622
5.924542.868606
5.943382.868589
5.962282.868573
5.981242.868557
6.000262.868541
6.019352.868525
6.038492.86851
6.05772.868494
6.076962.868478
6.096292.868463
6.115682.868448
6.135132.868432
6.154642.868417
6.174212.868402
6.193852.868387
6.213552.868372
6.233312.868358
6.253132.868343
6.273022.868328
6.292972.868314
6.312982.868299
6.333062.868285
6.35322.868271
6.373412.868257
6.393682.868243
6.414012.868229
6.434412.868215
6.454872.868201
6.47542.868187
6.4962.868174
6.516662.86816
6.537382.868147
6.558172.868134
6.579032.86812
6.599952.868107
6.620942.868094
6.6422.868081
6.663132.868068
6.684322.868055
6.705572.868043
6.72692.86803
6.748292.868017
6.769762.868005
6.791292.867992
6.812892.86798
6.834552.867968
6.856292.867956
6.878092.867943
6.899972.867931
6.921912.867919
6.943932.867907
6.966012.867896
6.988172.867884
7.010392.867872
7.032692.867861
7.055052.867849
7.077492.867838
7.12.867826

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
—