Optical constants

Refractive index of GaP (Gallium phosphide)

Khmelevskaia et al. 2021: n 0.235-1.70, k 0.235–0.686 µm

Data
tabulated nk
Range
0.235–1.7 µm
Points
1466
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.235–1.7 µm
Refractive index n
3.3937
Extinction coefficient k
0.022414
Permittivity ε1
11.5167
Permittivity ε2
0.152133
Absorption coefficient α
4793.44 cm⁻¹
Penetration depth δ = λ/(2πk)
4172.37 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-1.54 µm⁻¹
Group index ng
4.2986
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

# GaP (Gallium phosphide): Khmelevskaia et al. 2021: n 0.235-1.70, k 0.235–0.686 µm
gap = ls.fetch_refractiveindex("main", "GaP", "Khmelevskaia", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(gap.range_nm)  # (235, 1700) nm
eps = gap.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.

References

D. Khmelevskaia, D.I. Markina, V.V. Fedorov, G.A. Ermolaev, A.V. Arsenin, V.S. Volkov, A.S. Goltaev, Yu.M. Zadiranov, I.A. Tzibizov, A.P. Pushkarev, A.K. Samusev, A.A. Shcherbakov, P.A. Belov, I.S. Mukhin, S.V. Makarov. Directly grown crystalline gallium phosphide on sapphire for nonlinear all-dielectric nanophotonics, Appl. Phys. Lett., 118, 201101 (2021) (Numerical data kindly provided by Georgy Ermolaev)

Cite

D. Khmelevskaia, D.I. Markina, V.V. Fedorov, G.A. Ermolaev, A.V. Arsenin, V.S. Volkov, A.S. Goltaev, Yu.M. Zadiranov, I.A. Tzibizov, A.P. Pushkarev, A.K. Samusev, A.A. Shcherbakov, P.A. Belov, I.S. Mukhin, S.V. Makarov. Directly grown crystalline gallium phosphide on sapphire for nonlinear all-dielectric nanophotonics, Appl. Phys. Lett., 118, 201101 (2021) (Numerical data kindly provided by Georgy Ermolaev); Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

1466 rows as published
GaP (Gallium phosphide), Khmelevskaia et al. 2021: n 0.235-1.70, k 0.235–0.686 µm: n and k versus wavelength
λ (µm)nk
0.2352.611613.74054
0.2362.665293.80122
0.2372.732133.85485
0.2382.809563.89896
0.2392.894933.93207
0.242.985613.95337
0.2413.079023.96258
0.2423.172463.95989
0.2433.263133.94671
0.2443.349863.92536
0.2453.432433.89742
0.2463.510763.86401
0.2473.584883.82601
0.2483.654873.78413
0.2493.720833.73892
0.253.782923.6908
0.2513.841233.64003
0.2523.895743.58682
0.2533.946383.53139
0.2543.993053.47396
0.2554.03563.41475
0.2564.073853.35397
0.2574.107493.29191
0.2584.136073.22903
0.2594.159363.16625
0.264.177573.10439
0.2614.191013.04413
0.2624.200082.98604
0.2634.205252.93066
0.2644.207082.87841
0.2654.206242.82969
0.2664.203612.78469
0.2674.20012.74311
0.2684.196152.70445
0.2694.191972.66834
0.274.187742.63447
0.2714.183552.60258
0.2724.179462.57245
0.2734.17552.54389
0.2744.171652.51672
0.2754.167872.49083
0.2764.164092.46617
0.2774.160322.44277
0.2784.15662.4206
0.2794.152982.39966
0.284.149512.37992
0.2814.146242.36137
0.2824.143252.34397
0.2834.140612.3277
0.2844.138392.31252
0.2854.136712.29836
0.2864.135612.28513
0.2874.135152.27272
0.2884.135342.26105
0.2894.136182.25003
0.294.137682.23959
0.2914.139852.22967
0.2924.142662.2202
0.2934.146112.21112
0.2944.150172.20239
0.2954.154792.19397
0.2964.159962.18588
0.2974.165672.17812
0.2984.171942.17071
0.2994.178822.16364
0.34.186322.15691
0.3014.19452.15051
0.3024.203412.14442
0.3034.21312.13862
0.3044.223652.1331
0.3054.235142.1278
0.3064.247712.12266
0.3074.261442.11752
0.3084.276362.11222
0.3094.292452.10661
0.314.30972.10058
0.3114.328072.09401
0.3124.347542.08681
0.3134.368052.07887
0.3144.389592.07012
0.3154.412122.06046
0.3164.435622.04983
0.3174.46012.03813
0.3184.48562.02523
0.3194.51212.01088
0.324.539481.99487
0.3214.567591.97702
0.3224.596251.95718
0.3234.625281.9352
0.3244.654451.91098
0.3254.683551.8844
0.3264.712331.85538
0.3274.740521.82385
0.3284.767821.78974
0.3294.793881.75301
0.334.818251.71366
0.3314.840331.67192
0.3324.859781.62829
0.3334.876481.58321
0.3344.890351.53703
0.3354.901361.49011
0.3364.909541.44275
0.3374.914921.39524
0.3384.917551.34783
0.3394.917511.30079
0.344.914891.25433
0.3414.90981.2087
0.3424.902371.1641
0.3434.892781.12075
0.3444.881221.07883
0.3454.8681.03843
0.3464.853290.99955
0.3474.837240.96218
0.3484.819980.92635
0.3494.801590.89208
0.354.78220.85938
0.3514.76190.82829
0.3524.740790.79883
0.3534.718980.77105
0.3544.696570.74497
0.3554.673690.72064
0.3564.650450.69809
0.3574.626990.67735
0.3584.60350.65847
0.3594.580170.64148
0.364.55730.62629
0.3614.535090.61275
0.3624.513650.60067
0.3634.49310.58989
0.3644.473490.58025
0.3654.454880.57158
0.3664.437290.56374
0.3674.420750.55657
0.3684.405250.54994
0.3694.390770.54369
0.374.37730.53768
0.3714.364770.5318
0.3724.353140.5259
0.3734.342320.51986
0.3744.332220.51357
0.3754.322690.50691
0.3764.313550.4998
0.3774.304590.4923
0.3784.295690.48448
0.3794.286790.47641
0.384.277830.46816
0.3814.268750.4598
0.3824.259540.45138
0.3834.250160.44296
0.3844.240610.43459
0.3854.230880.42634
0.3864.220960.41824
0.3874.210870.41035
0.3884.200620.40273
0.3894.190230.39541
0.394.179720.38843
0.3914.169130.38186
0.3924.158510.37572
0.3934.147910.37005
0.3944.137420.36488
0.3954.127150.36018
0.3964.117140.3559
0.3974.107430.35198
0.3984.098040.34839
0.3994.089010.34509
0.44.080340.34202
0.4014.072030.33915
0.4024.06410.33644
0.4034.056550.33385
0.4044.049370.33135
0.4054.042560.32889
0.4064.03610.32644
0.4074.029990.32397
0.4084.024210.32144
0.4094.018740.31882
0.414.013560.31608
0.4114.008630.3132
0.4124.003930.31013
0.4133.999420.30686
0.4143.995030.30336
0.4153.990710.29967
0.4163.986430.29578
0.4173.982160.29174
0.4183.977880.28755
0.4193.973570.28323
0.423.969230.2788
0.4213.964830.27429
0.4223.960370.26969
0.4233.955840.26504
0.4243.951240.26034
0.4253.946560.25561
0.4263.94180.25086
0.4273.936960.24611
0.4283.932030.24138
0.4293.927030.23666
0.433.921940.23199
0.4313.916770.22736
0.4323.911530.2228
0.4333.906220.21831
0.4343.900850.2139
0.4353.895430.20959
0.4363.889970.20539
0.4373.88450.20128
0.4383.879010.19727
0.4393.873510.19336
0.443.868020.18955
0.4413.862530.18582
0.4423.857050.18219
0.4433.851580.17864
0.4443.846130.17518
0.4453.840690.1718
0.4463.835280.16851
0.4473.829890.16529
0.4483.824520.16215
0.4493.819180.15909
0.453.813870.15611
0.4513.808590.1532
0.4523.803340.15036
0.4533.798120.14759
0.4543.792930.14489
0.4553.787780.14226
0.4563.782660.13969
0.4573.777580.13719
0.4583.772540.13475
0.4593.767530.13237
0.463.762560.13005
0.4613.757630.12779
0.4623.752740.12559
0.4633.747890.12344
0.4643.743090.12135
0.4653.738320.11931
0.4663.733590.11732
0.4673.72890.11538
0.4683.724260.11349
0.4693.719660.11165
0.473.71510.10986
0.4713.710580.10811
0.4723.706110.10641
0.4733.701680.10475
0.4743.697290.10314
0.4753.692940.10156
0.4763.688640.10003
0.4773.684380.09853
0.4783.680160.09707
0.4793.675990.09565
0.483.671860.09427
0.4813.667770.09292
0.4823.663720.0916
0.4833.659720.09032
0.4843.655760.08907
0.4853.651850.08785
0.4863.647970.08666
0.4873.644150.0855
0.4883.640360.08436
0.4893.636620.08326
0.493.632920.08218
0.4913.629270.08112
0.4923.625650.08009
0.4933.622090.07908
0.4943.618560.07809
0.4953.615080.07711
0.4963.611640.07616
0.4973.608240.07523
0.4983.604880.07431
0.4993.601560.0734
0.53.598280.07251
0.5013.595040.07163
0.5023.591840.07076
0.5033.588680.06991
0.5043.585550.06906
0.5053.582460.06822
0.5063.579410.06739
0.5073.57640.06657
0.5083.573410.06575
0.5093.570460.06494
0.513.567550.06413
0.5113.564660.06333
0.5123.561810.06253
0.5133.558980.06173
0.5143.556190.06093
0.5153.553420.06013
0.5163.550680.05933
0.5173.547960.05852
0.5183.545260.05772
0.5193.542580.05691
0.523.539930.05611
0.5213.537280.0553
0.5223.534660.05449
0.5233.532040.05369
0.5243.529450.05288
0.5253.526860.05208
0.5263.524290.05128
0.5273.521730.05049
0.5283.519180.0497
0.5293.516640.04892
0.533.514110.04815
0.5313.511590.04738
0.5323.509080.04662
0.5333.506590.04586
0.5343.50410.04512
0.5353.501620.04439
0.5363.499150.04366
0.5373.496690.04295
0.5383.494250.04225
0.5393.491810.04155
0.543.489380.04088
0.5413.486960.04021
0.5423.484550.03956
0.5433.482150.03892
0.5443.479760.0383
0.5453.477390.03769
0.5463.475020.0371
0.5473.472670.03652
0.5483.470330.03596
0.5493.4680.03541
0.553.465690.03489
0.5513.463390.03438
0.5523.46110.03389
0.5533.458840.03341
0.5543.456590.03296
0.5553.454360.03252
0.5563.452150.0321
0.5573.449970.03169
0.5583.44780.03129
0.5593.445660.03091
0.563.443540.03055
0.5613.441450.03019
0.5623.439370.02985
0.5633.437320.02951
0.5643.435290.02918
0.5653.433290.02887
0.5663.43130.02856
0.5673.429350.02825
0.5683.427410.02796
0.5693.42550.02766
0.573.42360.02738
0.5713.421740.0271
0.5723.419890.02682
0.5733.418070.02654
0.5743.416260.02626
0.5753.414480.02599
0.5763.412720.02572
0.5773.410980.02545
0.5783.409260.02517
0.5793.407560.0249
0.583.405880.02462
0.5813.404220.02434
0.5823.402580.02406
0.5833.400950.02378
0.5843.399350.02349
0.5853.397750.0232
0.5863.396180.0229
0.5873.394620.0226
0.5883.393080.02229
0.5893.391550.02197
0.593.390030.02165
0.5913.388530.02132
0.5923.387030.02098
0.5933.385550.02064
0.5943.384080.02028
0.5953.382610.01992
0.5963.381150.01955
0.5973.379690.01918
0.5983.378240.0188
0.5993.376790.01841
0.63.375350.01802
0.6013.37390.01762
0.6023.372470.01723
0.6033.371030.01682
0.6043.36960.01642
0.6053.368160.01601
0.6063.366730.01561
0.6073.36530.0152
0.6083.363880.01479
0.6093.362450.01438
0.613.361020.01397
0.6113.35960.01356
0.6123.358170.01315
0.6133.356740.01274
0.6143.355320.01234
0.6153.35390.01194
0.6163.352470.01154
0.6173.351050.01114
0.6183.349620.01075
0.6193.34820.01036
0.623.346770.00997
0.6213.345350.00959
0.6223.343930.00922
0.6233.342510.00885
0.6243.341080.00848
0.6253.339660.00813
0.6263.338240.00777
0.6273.336820.00743
0.6283.335410.00709
0.6293.333990.00676
0.633.332570.00644
0.6313.331160.00612
0.6323.329750.00581
0.6333.328340.00552
0.6343.326930.00523
0.6353.325530.00495
0.6363.324130.00467
0.6373.322730.00441
0.6383.321340.00416
0.6393.319950.00392
0.643.318570.00369
0.6413.317190.00347
0.6423.315820.00326
0.6433.314460.00305
0.6443.31310.00286
0.6453.311760.00268
0.6463.310420.0025
0.6473.309080.00233
0.6483.307760.00217
0.6493.306440.00202
0.653.305140.00188
0.6513.303840.00174
0.6523.302550.00161
0.6533.301270.00149
0.6543.299990.00137
0.6553.298730.00126
0.6563.297470.00116
0.6573.296230.00106
0.6583.294990.00097
0.6593.293770.00089
0.663.292550.00081
0.6613.291340.00073
0.6623.290140.00066
0.6633.288950.0006
0.6643.287770.00054
0.6653.28660.00048
0.6663.285440.00043
0.6673.284290.00038
0.6683.283150.00033
0.6693.282010.00029
0.673.280890.00026
0.6713.279770.00022
0.6723.278670.00019
0.6733.277570.00017
0.6743.276480.00014
0.6753.275410.00012
0.6763.274340.0001
0.6773.273288e-05
0.6783.272227e-05
0.6793.271185e-05
0.683.270154e-05
0.6813.269123e-05
0.6823.268113e-05
0.6833.26712e-05
0.6843.26611e-05
0.6853.265111e-05
0.6863.264121e-05
0.6873.263150.0
0.6883.262180.0
0.6893.261220.0
0.693.260270.0
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0.6993.252030.0
0.73.251140.0
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1.5183.055680.0
1.5193.055630.0
1.523.055570.0
1.5213.055510.0
1.5223.055450.0
1.5233.055390.0
1.5243.055340.0
1.5253.055280.0
1.5263.055220.0
1.5273.055160.0
1.5283.055110.0
1.5293.055050.0
1.533.054990.0
1.5313.054940.0
1.5323.054880.0
1.5333.054820.0
1.5343.054770.0
1.5353.054710.0
1.5363.054650.0
1.5373.05460.0
1.5383.054540.0
1.5393.054490.0
1.543.054430.0
1.5413.054370.0
1.5423.054320.0
1.5433.054260.0
1.5443.054210.0
1.5453.054150.0
1.5463.05410.0
1.5473.054040.0
1.5483.053990.0
1.5493.053930.0
1.553.053880.0
1.5513.053820.0
1.5523.053770.0
1.5533.053710.0
1.5543.053660.0
1.5553.053610.0
1.5563.053550.0
1.5573.05350.0
1.5583.053450.0
1.5593.053390.0
1.563.053340.0
1.5613.053280.0
1.5623.053230.0
1.5633.053180.0
1.5643.053120.0
1.5653.053070.0
1.5663.053020.0
1.5673.052970.0
1.5683.052910.0
1.5693.052860.0
1.573.052810.0
1.5713.052760.0
1.5723.05270.0
1.5733.052650.0
1.5743.05260.0
1.5753.052550.0
1.5763.05250.0
1.5773.052440.0
1.5783.052390.0
1.5793.052340.0
1.583.052290.0
1.5813.052240.0
1.5823.052190.0
1.5833.052140.0
1.5843.052080.0
1.5853.052030.0
1.5863.051980.0
1.5873.051930.0
1.5883.051880.0
1.5893.051830.0
1.593.051780.0
1.5913.051730.0
1.5923.051680.0
1.5933.051630.0
1.5943.051580.0
1.5953.051530.0
1.5963.051480.0
1.5973.051430.0
1.5983.051380.0
1.5993.051330.0
1.63.051280.0
1.6013.051230.0
1.6023.051180.0
1.6033.051130.0
1.6043.051080.0
1.6053.051040.0
1.6063.050990.0
1.6073.050940.0
1.6083.050890.0
1.6093.050840.0
1.613.050790.0
1.6113.050740.0
1.6123.05070.0
1.6133.050650.0
1.6143.05060.0
1.6153.050550.0
1.6163.05050.0
1.6173.050460.0
1.6183.050410.0
1.6193.050360.0
1.623.050310.0
1.6213.050270.0
1.6223.050220.0
1.6233.050170.0
1.6243.050120.0
1.6253.050080.0
1.6263.050030.0
1.6273.049980.0
1.6283.049940.0
1.6293.049890.0
1.633.049840.0
1.6313.04980.0
1.6323.049750.0
1.6333.04970.0
1.6343.049660.0
1.6353.049610.0
1.6363.049560.0
1.6373.049520.0
1.6383.049470.0
1.6393.049430.0
1.643.049380.0
1.6413.049330.0
1.6423.049290.0
1.6433.049240.0
1.6443.04920.0
1.6453.049150.0
1.6463.049110.0
1.6473.049060.0
1.6483.049020.0
1.6493.048970.0
1.653.048930.0
1.6513.048880.0
1.6523.048840.0
1.6533.048790.0
1.6543.048750.0
1.6553.04870.0
1.6563.048660.0
1.6573.048620.0
1.6583.048570.0
1.6593.048530.0
1.663.048480.0
1.6613.048440.0
1.6623.04840.0
1.6633.048350.0
1.6643.048310.0
1.6653.048260.0
1.6663.048220.0
1.6673.048180.0
1.6683.048130.0
1.6693.048090.0
1.673.048050.0
1.6713.0480.0
1.6723.047960.0
1.6733.047920.0
1.6743.047870.0
1.6753.047830.0
1.6763.047790.0
1.6773.047750.0
1.6783.04770.0
1.6793.047660.0
1.683.047620.0
1.6813.047580.0
1.6823.047530.0
1.6833.047490.0
1.6843.047450.0
1.6853.047410.0
1.6863.047370.0
1.6873.047320.0
1.6883.047280.0
1.6893.047240.0
1.693.04720.0
1.6913.047160.0
1.6923.047120.0
1.6933.047070.0
1.6943.047030.0
1.6953.046990.0
1.6963.046950.0
1.6973.046910.0
1.6983.046870.0
1.6993.046830.0
1.73.046790.0

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
—