Optical constants

Refractive index of GaN (Gallium nitride)

Barker and Ilegems 1973: n(o) 0.35–10 µm

Data
formula 1
Range
0.35–10 µm
Temperature
300 K
Optical axis
o
Licence
CC0-1.0

Uniaxial crystal, axes: oe

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.35–10 µm
Refractive index n
2.39907
Extinction coefficient k
0
Permittivity ε1
5.75554
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
18.782
Chromatic dispersion dn/dλ
-0.362122 µm⁻¹
Group index ng
2.61185
Group velocity dispersion
842.545 fs²/mm
Dispersion parameter D
-4596.53 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

# GaN (Gallium nitride): Barker and Ilegems 1973: n(o) 0.35–10 µm
gan = ls.fetch_refractiveindex("main", "GaN", "Barker-o", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(gan.range_nm)  # (350, 10000) nm
eps = gan.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=2.6+1.75λ2λ2−0.2562+4.1λ2λ2−17.862

Valid from 0.35 to 10.0 µm.

Coefficients as stored
CiValue
C12.6
C21.75
C30.256
C44.1
C517.86

Comments and conditions

α-GaN (wurtzite); Ordinary ray (o); 300 K (27 °C).

Conditions

temperature
300 K
direction
o

References

A. S. Barker Jr. and M. Ilegems. Infrared lattice vibrations and free-electron dispersion in GaN. Phys. Rev. B 7, 743-750 (1973)

Cite

A. S. Barker and M. Ilegems. Infrared Lattice Vibrations and Free-Electron Dispersion in GaN. Physical Review B, 7, 743-750 (1973), doi:10.1103/physrevb.7.743; 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
GaN (Gallium nitride), Barker and Ilegems 1973: n(o) 0.35–10 µm: n and k versus wavelength
λ (µm)n
0.352.713258
0.3529532.700176
0.3559312.687724
0.3589342.675859
0.3619632.664542
0.3650172.653737
0.3680972.64341
0.3712022.633532
0.3743342.624076
0.3774932.615015
0.3806782.606327
0.383892.59799
0.3871292.589985
0.3903952.582292
0.3936892.574894
0.3970112.567777
0.4003612.560924
0.4037392.554323
0.4071452.547961
0.410582.541825
0.4140452.535904
0.4175382.530189
0.4210612.524669
0.4246142.519335
0.4281962.514178
0.4318092.509191
0.4354532.504366
0.4391272.499695
0.4428322.495172
0.4465682.490791
0.4503362.486545
0.4541362.482429
0.4579672.478438
0.4618312.474566
0.4657282.470808
0.4696582.467161
0.473622.46362
0.4776162.46018
0.4816462.456838
0.485712.45359
0.4898082.450432
0.4939412.447362
0.4981092.444376
0.5023112.441471
0.506552.438644
0.5108242.435892
0.5151342.433213
0.519482.430604
0.5238632.428063
0.5282832.425587
0.532742.423174
0.5372352.420823
0.5417682.418531
0.5463392.416296
0.5509492.414117
0.5555982.411991
0.5602852.409917
0.5650132.407893
0.569782.405918
0.5745882.40399
0.5794362.402108
0.5843252.40027
0.5892552.398475
0.5942272.396722
0.599242.395009
0.6042962.393336
0.6093952.391701
0.6145372.390102
0.6197222.38854
0.6249512.387013
0.6302242.385519
0.6355412.384059
0.6409032.382631
0.6463112.381234
0.6517642.379867
0.6572632.378529
0.6628092.377221
0.6684012.37594
0.6740412.374686
0.6797282.373459
0.6854632.372257
0.6912472.371081
0.6970792.369929
0.7029612.3688
0.7088922.367695
0.7148732.366612
0.7209052.365551
0.7269872.364512
0.7331212.363493
0.7393072.362494
0.7455452.361516
0.7518352.360556
0.7581792.359616
0.7645762.358693
0.7710272.357789
0.7775322.356902
0.7840932.356032
0.7907092.355178
0.797382.354341
0.8041082.353519
0.8108922.352713
0.8177342.351921
0.8246342.351145
0.8315922.350382
0.8386082.349634
0.8456842.348899
0.8528192.348177
0.8600152.347469
0.8672712.346773
0.8745892.346089
0.8819682.345417
0.8894092.344757
0.8969142.344108
0.9044812.343471
0.9121132.342845
0.9198092.342229
0.927572.341623
0.9353962.341028
0.9432882.340443
0.9512472.339867
0.9592732.339301
0.9673672.338744
0.9755292.338196
0.983762.337656
0.992062.337125
1.000432.336603
1.008872.336089
1.017382.335582
1.025972.335084
1.034622.334592
1.043352.334109
1.052162.333632
1.061042.333163
1.069992.3327
1.079022.332244
1.088122.331794
1.09732.331351
1.106562.330914
1.11592.330483
1.125312.330058
1.134812.329638
1.144382.329224
1.154042.328816
1.163772.328412
1.173592.328014
1.183492.327621
1.193482.327232
1.203552.326848
1.21372.326469
1.223952.326094
1.234272.325724
1.244692.325358
1.255192.324995
1.265782.324637
1.276462.324282
1.287232.323931
1.298092.323584
1.309042.32324
1.320092.3229
1.331222.322562
1.342462.322228
1.353782.321897
1.365212.321569
1.376732.321243
1.388342.32092
1.400062.3206
1.411872.320282
1.423782.319966
1.435792.319653
1.447912.319342
1.460122.319033
1.472442.318726
1.484872.31842
1.49742.318117
1.510032.317815
1.522772.317515
1.535622.317216
1.548582.316918
1.561642.316622
1.574822.316327
1.588112.316033
1.601512.315741
1.615022.315449
1.628642.315157
1.642392.314867
1.656242.314577
1.670222.314288
1.684312.313999
1.698522.313711
1.712852.313423
1.72732.313135
1.741882.312847
1.756582.312559
1.77142.312271
1.786342.311983
1.801412.311694
1.816612.311406
1.831942.311116
1.84742.310827
1.862992.310536
1.87872.310245
1.894562.309954
1.910542.309661
1.926662.309367
1.942922.309073
1.959312.308777
1.975842.30848
1.992512.308181
2.009322.307881
2.026282.30758
2.043372.307277
2.060622.306972
2.0782.306665
2.095532.306357
2.113222.306046
2.131052.305734
2.149032.305419
2.167162.305102
2.185442.304783
2.203882.304461
2.222482.304136
2.241232.303809
2.260142.303479
2.279212.303146
2.298442.30281
2.317832.302472
2.337392.302129
2.357112.301784
2.3772.301435
2.397062.301083
2.417282.300727
2.437682.300367
2.458242.300003
2.478992.299635
2.49992.299264
2.520992.298888
2.542262.298507
2.563712.298122
2.585352.297733
2.607162.297339
2.629162.29694
2.651342.296536
2.673712.296127
2.696272.295713
2.719022.295293
2.741962.294868
2.76512.294437
2.788432.294001
2.811952.293558
2.835682.29311
2.859612.292655
2.883732.292194
2.908062.291726
2.93262.291251
2.957342.29077
2.98232.290282
3.007462.289787
3.032832.289284
3.058422.288774
3.084232.288256
3.110252.28773
3.136492.287196
3.162962.286654
3.189652.286103
3.216562.285544
3.24372.284976
3.271072.284399
3.298672.283813
3.32652.283218
3.354562.282613
3.382872.281998
3.411412.281373
3.44022.280737
3.469222.280092
3.498492.279435
3.528012.278767
3.557782.278089
3.58782.277399
3.618072.276697
3.64862.275983
3.679382.275256
3.710422.274518
3.741732.273766
3.77332.273002
3.805142.272224
3.837242.271432
3.869622.270627
3.902272.269807
3.93522.268972
3.96842.268123
4.001882.267258
4.035652.266378
4.06972.265482
4.104042.264569
4.138662.26364
4.173582.262694
4.20882.26173
4.244312.260749
4.280122.259749
4.316232.258731
4.352652.257694
4.389372.256637
4.426412.25556
4.463762.254463
4.501422.253345
4.53942.252206
4.57772.251045
4.616332.249861
4.655282.248655
4.694552.247425
4.734162.246171
4.774112.244893
4.814392.24359
4.855012.242261
4.895972.240906
4.937282.239523
4.978942.238114
5.020952.236676
5.063312.235209
5.106042.233712
5.149122.232186
5.192562.230628
5.236372.229038
5.280562.227416
5.325112.22576
5.370042.22407
5.415352.222344
5.461042.220583
5.507122.218785
5.553582.216949
5.600442.215074
5.64772.213159
5.695352.211203
5.74342.209205
5.791862.207164
5.840732.205079
5.890012.202948
5.939712.200771
5.989822.198545
6.040362.196271
6.091332.193946
6.142722.191569
6.194552.189139
6.246822.186653
6.299522.184111
6.352672.181511
6.406272.178852
6.460332.176131
6.514842.173346
6.56982.170497
6.625242.16758
6.681142.164595
6.737512.161538
6.794352.158408
6.851682.155203
6.909492.15192
6.967792.148556
7.026582.14511
7.085872.141578
7.145652.137958
7.205942.134248
7.266742.130443
7.328062.126541
7.389892.122539
7.452242.118433
7.515112.11422
7.578522.109896
7.642472.105457
7.706952.1009
7.771982.09622
7.837552.091412
7.903682.086472
7.970372.081396
8.037622.076177
8.105432.070811
8.173822.065293
8.242792.059615
8.312342.053773
8.382472.047759
8.45322.041566
8.524522.035188
8.596442.028617
8.668982.021844
8.742122.014861
8.815882.00766
8.890262.00023
8.965281.992561
9.040921.984643
9.11721.976464
9.194131.968012
9.27171.959274
9.349931.950237
9.428821.940885
9.508371.931204
9.58861.921176
9.66951.910783
9.751091.900007
9.833361.888826
9.916331.877219
101.865161

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
—