Optical constants

Refractive index of Si:InP (Silicon-doped indium phosphide)

Panah et al. 2016: n,k 5.0–30 µm

Data
tabulated nk
Range
5–30 µm
Points
2501
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 5–30 µm
Refractive index n
0.345964
Extinction coefficient k
3.90319
Permittivity ε1
-15.1152
Permittivity ε2
2.70073
Absorption coefficient α
40204 cm⁻¹
Penetration depth δ = λ/(2πk)
497.463 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
0.03855 µm⁻¹
Group index ng
-0.124346
Group velocity dispersion
— fs²/mm
Dispersion parameter D
— ps/(nm·km)
Photon energy
0.101626 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

# Si:InP (Silicon-doped indium phosphide): Panah et al. 2016: n,k 5.0–30 µm
si_inp = ls.fetch_refractiveindex("other", "Si-InP", "Panah", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(si_inp.range_nm)  # (5000, 30000) nm
eps = si_inp.eps([12200])  # 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

400 nm silicon-doped InP (Si:InP) layer on undoped InP substrate.

Conditions

film thickness
400e-9
substrate
InP

References

M. E. A. Panah, O. Takayama, S. V. Morozov, K. E. Kudryavtsev, E. S. Semenova, A. V. Lavrinenko. Highly doped InP as a low loss plasmonic material for mid-IR region. Opt. Express 24, 29077-29088 (2016) (Numerical data kindly provided by Osamu Takayama)

Cite

M. E. Aryaee Panah et al.. Highly doped InP as a low loss plasmonic material for mid-IR region. Optics Express, 24, 29077 (2016), doi:10.1364/oe.24.029077; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

2501 rows as published
Si:InP (Silicon-doped indium phosphide), Panah et al. 2016: n,k 5.0–30 µm: n and k versus wavelength
λ (µm)nk
5.02.3191720.040498
5.012.3155780.040804
5.022.3119710.041112
5.032.3083510.041423
5.042.3047190.041736
5.052.3010740.042051
5.062.2974150.042368
5.072.2937440.042688
5.082.290060.04301
5.092.2863630.043334
5.12.2826530.04366
5.112.2789290.043989
5.122.2751920.04432
5.132.2714420.044653
5.142.2676780.044989
5.152.2639010.045327
5.162.2601110.045668
5.172.2563060.046011
5.182.2524890.046357
5.192.2486570.046705
5.22.2448120.047055
5.212.2409520.047408
5.222.2370790.047764
5.232.2331920.048122
5.242.229290.048483
5.252.2253750.048846
5.262.2214450.049213
5.272.2175010.049581
5.282.2135430.049953
5.292.209570.050327
5.32.2055820.050704
5.312.201580.051084
5.322.1975630.051467
5.332.1935320.051852
5.342.1894860.05224
5.352.1854240.052631
5.362.1813480.053026
5.372.1772570.053423
5.382.173150.053823
5.392.1690280.054226
5.42.1648910.054632
5.412.1607390.055041
5.422.1565710.055453
5.432.1523870.055869
5.442.1481880.056287
5.452.1439730.056709
5.462.1397420.057134
5.472.1354950.057562
5.482.1312320.057993
5.492.1269530.058428
5.52.1226580.058867
5.512.1183460.059308
5.522.1140180.059753
5.532.1096730.060202
5.542.1053120.060654
5.552.1009340.061109
5.562.096540.061568
5.572.0921280.062031
5.582.0876990.062498
5.592.0832530.062968
5.62.078790.063441
5.612.074310.063919
5.622.0698120.064401
5.632.0652970.064886
5.642.0607630.065375
5.652.0562130.065868
5.662.0516440.066366
5.672.0470570.066867
5.682.0424520.067372
5.692.0378290.067882
5.72.0331870.068395
5.712.0285270.068913
5.722.0238490.069435
5.732.0191510.069962
5.742.0144350.070493
5.752.00970.071028
5.762.0049450.071568
5.772.0001720.072112
5.781.9953790.072661
5.791.9905660.073215
5.81.9857340.073773
5.811.9808820.074337
5.821.976010.074905
5.831.9711180.075477
5.841.9662060.076055
5.851.9612740.076638
5.861.9563210.077226
5.871.9513470.077819
5.881.9463530.078418
5.891.9413370.079021
5.91.9363010.07963
5.911.9312430.080245
5.921.9261640.080864
5.931.9210630.08149
5.941.915940.082121
5.951.9107960.082758
5.961.9056290.083401
5.971.9004410.084049
5.981.8952290.084704
5.991.8899960.085364
6.01.8847390.086031
6.011.879460.086704
6.021.8741570.087383
6.031.8688310.088068
6.041.8634810.08876
6.051.8581080.089459
6.061.8527110.090164
6.071.847290.090876
6.081.8418440.091595
6.091.8363740.092321
6.11.830880.093054
6.111.825360.093795
6.121.8198150.094542
6.131.8142450.095297
6.141.808650.096059
6.151.8030280.096829
6.161.7973810.097607
6.171.7917070.098393
6.181.7860070.099187
6.191.780280.099989
6.21.7745270.100799
6.211.7687460.101617
6.221.7629370.102444
6.231.7571010.10328
6.241.7512370.104124
6.251.7453450.104978
6.261.7394240.105841
6.271.7334750.106713
6.281.7274970.107594
6.291.7214890.108485
6.31.7154520.109386
6.311.7093850.110296
6.321.7032880.111217
6.331.697160.112148
6.341.6910020.113089
6.351.6848120.114042
6.361.6785920.115005
6.371.6723390.115979
6.381.6660550.116964
6.391.6597380.117961
6.41.6533890.118969
6.411.6470060.11999
6.421.6405910.121022
6.431.6341410.122067
6.441.6276580.123125
6.451.621140.124195
6.461.6145870.125279
6.471.6080.126376
6.481.6013760.127487
6.491.5947170.128611
6.51.5880210.12975
6.511.5812890.130903
6.521.574520.132071
6.531.5677130.133255
6.541.5608670.134453
6.551.5539840.135668
6.561.5470620.136899
6.571.54010.138146
6.581.5330980.13941
6.591.5260570.140691
6.61.5189740.14199
6.611.511850.143307
6.621.5046850.144642
6.631.4974770.145996
6.641.4902260.14737
6.651.4829330.148763
6.661.4755950.150177
6.671.4682130.151611
6.681.4607860.153067
6.691.4533140.154544
6.71.4457950.156043
6.711.438230.157566
6.721.4306170.159112
6.731.4229570.160682
6.741.4152480.162276
6.751.407490.163896
6.761.3996820.165542
6.771.3918240.167215
6.781.3839150.168915
6.791.3759530.170643
6.81.367940.1724
6.811.3598730.174187
6.821.3517520.176005
6.831.3435760.177854
6.841.3353450.179735
6.851.3270580.18165
6.861.3187140.183599
6.871.3103120.185584
6.881.3018510.187604
6.891.2933310.189663
6.91.2847510.19176
6.911.2761090.193897
6.921.2674060.196075
6.931.258640.198295
6.941.2498110.200559
6.951.2409170.202869
6.961.2319570.205225
6.971.2229310.20763
6.981.2138380.210085
6.991.2046770.212591
7.01.1954460.215151
7.011.1861460.217766
7.021.1767750.220438
7.031.1673310.22317
7.041.1578160.225963
7.051.1482260.228819
7.061.1385620.231742
7.071.1288220.234734
7.081.1190060.237796
7.091.1091130.240932
7.11.0991420.244145
7.111.0890920.247438
7.121.0789630.250813
7.131.0687530.254275
7.141.0584620.257825
7.151.048090.261469
7.161.0376360.26521
7.171.02710.269052
7.181.0164810.272998
7.191.0057790.277054
7.20.9949950.281224
7.210.9841270.285512
7.220.9731770.289924
7.230.9621450.294465
7.240.9510320.29914
7.250.9398380.303955
7.260.9285660.308916
7.270.9172150.314029
7.280.9057890.319301
7.290.894290.324737
7.30.882720.330345
7.310.8710830.336132
7.320.8593820.342105
7.330.8476210.348271
7.340.8358060.354637
7.350.8239420.361211
7.360.8120350.368001
7.370.8000930.375014
7.380.7881220.382257
7.390.7761330.389737
7.40.7641350.397461
7.410.7521370.405435
7.420.7401510.413666
7.430.7281910.422157
7.440.7162680.430914
7.450.7043960.43994
7.460.6925910.449238
7.470.6808680.458807
7.480.6692420.468649
7.490.657730.478761
7.50.6463470.48914
7.510.6351110.499781
7.520.6240370.510678
7.530.6131410.521823
7.540.6024380.533206
7.550.5919410.544816
7.560.5816640.556641
7.570.5716180.568667
7.580.5618140.58088
7.590.552260.593264
7.60.5429630.605802
7.610.5339290.61848
7.620.5251610.63128
7.630.5166620.644185
7.640.5084320.657181
7.650.5004720.670251
7.660.4927780.683379
7.670.4853480.696553
7.680.4781780.709758
7.690.4712620.722981
7.70.4645950.736211
7.710.4581710.749437
7.720.4519820.762649
7.730.4460220.775837
7.740.4402820.788994
7.750.4347570.802113
7.760.4294370.815186
7.770.4243150.828208
7.780.4193840.841175
7.790.4146360.854081
7.80.4100640.866923
7.810.405660.879697
7.820.4014180.892401
7.830.3973310.905033
7.840.3933910.917591
7.850.3895940.930072
7.860.3859320.942477
7.870.3824010.954804
7.880.3789940.967052
7.890.3757050.979221
7.90.3725310.991311
7.910.3694661.003322
7.920.3665061.015254
7.930.3636461.027107
7.940.3608811.038881
7.950.3582081.050578
7.960.3556241.062198
7.970.3531231.073741
7.980.3507041.085209
7.990.3483621.096601
8.00.3460951.107919
8.010.34391.119164
8.020.3417731.130337
8.030.3397121.141438
8.040.3377141.152468
8.050.3357781.163429
8.060.33391.174322
8.070.3320791.185147
8.080.3303121.195906
8.090.3285971.206599
8.10.3269331.217227
8.110.3253171.227792
8.120.3237491.238294
8.130.3222251.248735
8.140.3207451.259115
8.150.3193071.269435
8.160.317911.279696
8.170.3165511.2899
8.180.3152311.300047
8.190.3139471.310138
8.20.3126991.320173
8.210.3114851.330155
8.220.3103051.340083
8.230.3091561.349958
8.240.3080381.359782
8.250.3069511.369555
8.260.3058931.379277
8.270.3048631.388951
8.280.303861.398576
8.290.3028841.408153
8.30.3019341.417683
8.310.3010091.427167
8.320.3001081.436605
8.330.299231.445998
8.340.2983761.455348
8.350.2975441.464653
8.360.2967331.473916
8.370.2959441.483137
8.380.2951751.492316
8.390.2944261.501454
8.40.2936961.510552
8.410.2929851.51961
8.420.2922931.528628
8.430.2916181.537609
8.440.2909611.546551
8.450.2903211.555455
8.460.2896971.564323
8.470.2890891.573154
8.480.2884971.58195
8.490.2879211.59071
8.50.2873591.599435
8.510.2868121.608126
8.520.2862791.616783
8.530.285761.625406
8.540.2852551.633996
8.550.2847621.642554
8.560.2842831.65108
8.570.2838161.659574
8.580.2833621.668036
8.590.282921.676468
8.60.2824891.68487
8.610.282071.693241
8.620.2816621.701583
8.630.2812661.709895
8.640.280881.718179
8.650.2805041.726434
8.660.2801391.734661
8.670.2797851.74286
8.680.2794391.751032
8.690.2791041.759176
8.70.2787781.767294
8.710.2784621.775385
8.720.2781541.783451
8.730.2778561.79149
8.740.2775661.799504
8.750.2772851.807493
8.760.2770121.815457
8.770.2767471.823397
8.780.2764911.831312
8.790.2762421.839203
8.80.2760011.84707
8.810.2757681.854914
8.820.2755421.862735
8.830.2753241.870533
8.840.2751131.878309
8.850.2749091.886061
8.860.2747121.893792
8.870.2745211.901501
8.880.2743381.909189
8.890.2741611.916855
8.90.273991.924499
8.910.2738261.932123
8.920.2736681.939726
8.930.2735161.947309
8.940.273371.954872
8.950.273231.962414
8.960.2730961.969937
8.970.2729681.97744
8.980.2728451.984924
8.990.2727281.992388
9.00.2726161.999833
9.010.272512.00726
9.020.2724092.014668
9.030.2723132.022058
9.040.2722222.02943
9.050.2721362.036783
9.060.2720552.044119
9.070.2719792.051437
9.080.2719082.058737
9.090.2718422.06602
9.10.271782.073286
9.110.2717222.080535
9.120.271672.087768
9.130.2716212.094983
9.140.2715782.102182
9.150.2715382.109365
9.160.2715032.116532
9.170.2714722.123683
9.180.2714442.130817
9.190.2714222.137937
9.20.2714032.14504
9.210.2713882.152128
9.220.2713772.159201
9.230.2713692.166259
9.240.2713662.173302
9.250.2713662.18033
9.260.271372.187343
9.270.2713782.194342
9.280.2713892.201326
9.290.2714042.208296
9.30.2714222.215252
9.310.2714432.222193
9.320.2714692.229121
9.330.2714972.236035
9.340.2715292.242935
9.350.2715642.249822
9.360.2716022.256696
9.370.2716432.263556
9.380.2716882.270402
9.390.2717362.277236
9.40.2717872.284057
9.410.271842.290865
9.420.2718972.29766
9.430.2719572.304442
9.440.272022.311212
9.450.2720852.317969
9.460.2721542.324715
9.470.2722252.331447
9.480.2722992.338168
9.490.2723762.344877
9.50.2724552.351574
9.510.2725372.358259
9.520.2726222.364932
9.530.272712.371593
9.540.27282.378243
9.550.2728932.384882
9.560.2729882.391509
9.570.2730852.398125
9.580.2731862.40473
9.590.2732882.411324
9.60.2733932.417906
9.610.2735012.424478
9.620.2736112.431039
9.630.2737232.437589
9.640.2738382.444129
9.650.2739542.450658
9.660.2740742.457176
9.670.2741952.463684
9.680.2743192.470182
9.690.2744442.476669
9.70.2745722.483147
9.710.2747032.489614
9.720.2748352.496071
9.730.2749692.502518
9.740.2751062.508955
9.750.2752452.515383
9.760.2753852.5218
9.770.2755282.528209
9.780.2756732.534607
9.790.2758192.540996
9.80.2759682.547376
9.810.2761192.553746
9.820.2762712.560106
9.830.2764262.566458
9.840.2765822.5728
9.850.2767412.579134
9.860.2769012.585458
9.870.2770632.591773
9.880.2772272.59808
9.890.2773922.604377
9.90.277562.610666
9.910.2777292.616946
9.920.27792.623217
9.930.2780732.629479
9.940.2782482.635734
9.950.2784242.641979
9.960.2786022.648216
9.970.2787812.654445
9.980.2789632.660666
9.990.2791462.666878
10.00.279332.673082
10.010.2795172.679278
10.020.2797052.685465
10.030.2798942.691645
10.040.2800852.697817
10.050.2802782.703981
10.060.2804722.710136
10.070.2806682.716285
10.080.2808652.722425
10.090.2810642.728557
10.10.2812652.734682
10.110.2814672.7408
10.120.281672.746909
10.130.2818752.753011
10.140.2820812.759106
10.150.2822892.765193
10.160.2824982.771273
10.170.2827092.777346
10.180.2829212.783411
10.190.2831352.789469
10.20.283352.79552
10.210.2835662.801563
10.220.2837842.8076
10.230.2840032.813629
10.240.2842232.819652
10.250.2844452.825667
10.260.2846682.831676
10.270.2848932.837677
10.280.2851182.843672
10.290.2853452.84966
10.30.2855742.855642
10.310.2858042.861616
10.320.2860352.867584
10.330.2862672.873545
10.340.28652.8795
10.350.2867352.885448
10.360.2869712.89139
10.370.2872092.897325
10.380.2874472.903253
10.390.2876872.909176
10.40.2879282.915091
10.410.288172.921001
10.420.2884132.926904
10.430.2886582.932801
10.440.2889042.938692
10.450.2891512.944577
10.460.2893992.950455
10.470.2896482.956328
10.480.2898982.962194
10.490.290152.968054
10.50.2904032.973909
10.510.2906572.979757
10.520.2909112.985599
10.530.2911682.991436
10.540.2914252.997266
10.550.2916833.003091
10.560.2919423.00891
10.570.2922033.014724
10.580.2924653.020531
10.590.2927273.026333
10.60.2929913.032129
10.610.2932563.03792
10.620.2935223.043704
10.630.2937883.049484
10.640.2940563.055258
10.650.2943253.061026
10.660.2945953.066789
10.670.2948663.072546
10.680.2951393.078298
10.690.2954123.084045
10.70.2956863.089786
10.710.2959613.095522
10.720.2962373.101252
10.730.2965143.106978
10.740.2967923.112698
10.750.2970713.118413
10.760.2973513.124122
10.770.2976323.129827
10.780.2979143.135526
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24.981.1513579.695738
24.991.1521739.700151

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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
—