Optical constants

Refractive index of Al (Aluminium)

Rakić et al. 1998: Lorentz-Drude model; n,k 0.0620–248 µm

Data
tabulated nk
Range
0.06199–248 µm
Points
1000
Licence
CC0-1.0
Lightsmith
bundled

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.06199–248 µm
Refractive index n
1.133
Extinction coefficient k
6.8512
Permittivity ε1
-45.6553
Permittivity ε2
15.5248
Absorption coefficient α
1.46519e+06 cm⁻¹
Penetration depth δ = λ/(2πk)
13.6501 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
4.52675 µm⁻¹
Group index ng
-1.52692
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

# Al (Aluminium): Rakić et al. 1998: Lorentz-Drude model; n,k 0.0620–248 µm
al = ls.LibraryMaterial(name="Al", dataset="Rakic-LD")
print(al.range_nm)  # (61.992, 247970) nm
eps = al.eps([633])  # complex permittivity

Ships with the library: works offline.

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

Fit of experimental data from several sources to Lorentz-Drude (LD) model

References

A. D. Rakić, A. B. Djurišic, J. M. Elazar, M. L. Majewski. Optical properties of metallic films for vertical-cavity optoelectronic devices. Appl. Opt. 37, 5271-5283 (1998)
[Calculation script (Python)]
  • doi:10.1364/ao.37.005271 Optical properties of metallic films for vertical-cavity optoelectronic devices, Applied Optics (1998)

Cite

Aleksandar D. Rakić, Aleksandra B. Djurišić, Jovan M. Elazar and Marian L. Majewski. Optical properties of metallic films for vertical-cavity optoelectronic devices. Applied Optics, 37, 5271 (1998), doi:10.1364/ao.37.005271; [Calculation script (Python)]; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

1000 rows as published
Al (Aluminium), Rakić et al. 1998: Lorentz-Drude model; n,k 0.0620–248 µm: n and k versus wavelength
λ (µm)nk
0.0619920.663970.0094537
0.0625090.656880.0097989
0.063030.649590.010161
0.0635560.64210.010541
0.0640850.634390.010941
0.064620.626450.011362
0.0651580.618280.011806
0.0657020.609850.012273
0.0662490.601170.012768
0.0668020.592210.013292
0.0673590.582960.013847
0.067920.573410.014436
0.0684860.563530.015064
0.0690570.55330.015734
0.0696330.542710.01645
0.0702140.531720.017218
0.0707990.520320.018045
0.0713890.508460.018937
0.0719840.496120.019903
0.0725850.483260.020955
0.073190.469820.022104
0.07380.455760.023368
0.0744150.441020.024766
0.0750350.425510.026325
0.0756610.409170.028076
0.0762920.391870.030065
0.0769280.37350.03235
0.0775690.353890.035016
0.0782160.332840.038183
0.0788680.31010.042032
0.0795250.285320.046852
0.0801880.258070.053126
0.0808570.227790.061727
0.0815310.194020.074328
0.0822110.157280.094043
0.0828960.121940.12441
0.0835870.0955490.16283
0.0842840.0790980.20174
0.0849870.0688390.23776
0.0856950.0620150.27069
0.086410.0571920.30105
0.087130.053620.32934
0.0878570.0508820.35598
0.0885890.0487290.38126
0.0893280.0470030.40541
0.0900720.04560.42862
0.0908230.0444480.45103
0.091580.0434960.47275
0.0923440.0427070.49388
0.0931140.0420510.51448
0.093890.0415080.53463
0.0946730.0410610.55437
0.0954620.0406950.57376
0.0962580.0404010.59282
0.097060.040170.6116
0.097870.0399940.63013
0.0986860.0398680.64843
0.0995080.0397860.66653
0.100340.0397450.68444
0.101170.0397410.70218
0.102020.0397710.71978
0.102870.0398320.73725
0.103730.0399230.75459
0.104590.040040.77183
0.105460.0401840.78897
0.106340.0403510.80603
0.107230.0405420.82301
0.108120.0407540.83993
0.109020.0409880.85679
0.109930.0412410.8736
0.110850.0415140.89037
0.111770.0418050.9071
0.112710.0421150.92381
0.113640.0424430.94049
0.114590.0427870.95715
0.115550.0431490.9738
0.116510.0435270.99045
0.117480.0439211.0071
0.118460.0443321.0237
0.119450.0447591.0404
0.120450.0452011.0571
0.121450.0456591.0737
0.122460.0461321.0904
0.123480.0466211.1072
0.124510.0471261.1239
0.125550.0476461.1407
0.12660.0481811.1575
0.127650.0487321.1744
0.128720.0492981.1912
0.129790.049881.2082
0.130870.0504771.2252
0.131960.0510911.2422
0.133060.051721.2593
0.134170.0523651.2764
0.135290.0530261.2936
0.136420.0537041.3108
0.137560.0543981.3281
0.13870.0551081.3455
0.139860.0558351.3629
0.141030.056581.3804
0.14220.0573411.398
0.143390.058121.4156
0.144580.0589171.4333
0.145790.0597311.4511
0.1470.0605641.469
0.148230.0614151.4869
0.149460.0622841.505
0.150710.0631731.5231
0.151970.0640811.5413
0.153230.0650081.5596
0.154510.0659561.578
0.15580.0669241.5964
0.15710.0679121.615
0.158410.0689211.6337
0.159730.0699511.6524
0.161060.0710031.6713
0.16240.0720771.6902
0.163760.0731741.7093
0.165120.0742931.7285
0.16650.0754361.7478
0.167890.0766021.7671
0.169290.0777921.7866
0.17070.0790071.8062
0.172120.0802461.826
0.173560.0815111.8458
0.1750.0828021.8657
0.176460.084121.8858
0.177930.0854641.906
0.179420.0868351.9263
0.180910.0882351.9467
0.182420.0896631.9673
0.183940.0911191.988
0.185470.0926062.0088
0.187020.0941222.0297
0.188580.0956692.0508
0.190150.0972472.072
0.191740.0988572.0933
0.193340.10052.1148
0.194950.102172.1364
0.196570.103882.1582
0.198210.105632.1801
0.199860.10742.2021
0.201530.109222.2243
0.203210.111072.2466
0.20490.112952.2691
0.206610.114882.2917
0.208340.116842.3144
0.210070.118842.3373
0.211820.120882.3604
0.213590.122962.3836
0.215370.125082.407
0.217170.127242.4305
0.218980.129452.4542
0.22080.13172.4781
0.222640.133992.5021
0.22450.136332.5262
0.226370.138712.5506
0.228260.141142.5751
0.230160.143612.5997
0.232080.146132.6246
0.234010.14872.6496
0.235970.151322.6747
0.237930.153992.7001
0.239920.15672.7256
0.241920.159472.7513
0.243930.162292.7771
0.245970.165162.8032
0.248020.168092.8294
0.250090.171062.8558
0.252170.17412.8824
0.254270.177182.9092
0.256390.180332.9361
0.258530.183522.9632
0.260690.186782.9906
0.262860.190093.0181
0.265050.193463.0458
0.267260.196893.0737
0.269490.200373.1018
0.271730.203923.13
0.2740.207533.1585
0.276280.211193.1872
0.278590.214923.2161
0.280910.218713.2452
0.283250.222563.2744
0.285610.226473.3039
0.287990.230443.3336
0.29040.234483.3635
0.292820.238593.3937
0.295260.242753.424
0.297720.246993.4545
0.30020.251293.4853
0.30270.255653.5163
0.305230.260083.5475
0.307770.264593.579
0.310340.269163.6106
0.312930.27383.6425
0.315530.278513.6747
0.318170.283293.707
0.320820.288153.7397
0.323490.293093.7725
0.326190.29813.8056
0.328910.303193.839
0.331650.308363.8726
0.334420.313613.9065
0.33720.318943.9406
0.340010.324373.975
0.342850.329884.0097
0.345710.335494.0446
0.348590.341194.0798
0.35150.346994.1153
0.354430.352894.1511
0.357380.35894.1871
0.360360.365024.2235
0.363360.371264.2601
0.366390.377614.2971
0.369450.384094.3343
0.372530.390694.3718
0.375630.397434.4097
0.378770.40434.4478
0.381920.411334.4863
0.385110.41854.525
0.388320.425834.5641
0.391560.433324.6035
0.394820.440984.6432
0.398110.448814.6832
0.401430.456834.7236
0.404780.465044.7643
0.408150.473454.8052
0.411560.482064.8465
0.414990.490884.8882
0.418450.499934.9301
0.421930.50924.9724
0.425450.518715.015
0.4290.528455.0578
0.432580.538455.1011
0.436180.548715.1446
0.439820.559245.1884
0.443490.570045.2325
0.447180.581125.2769
0.450910.59255.3216
0.454670.604175.3666
0.458460.616155.4119
0.462280.628445.4574
0.466140.641045.5033
0.470020.653985.5493
0.473940.667255.5957
0.477890.680865.6423
0.481880.694815.6891
0.485890.709115.7361
0.489940.723775.7834
0.494030.738785.8309
0.498150.754165.8785
0.50230.76995.9264
0.506490.786015.9744
0.510710.802496.0226
0.514970.819336.0709
0.519260.836556.1194
0.523590.854136.168
0.527960.872076.2167
0.532360.890386.2655
0.53680.909046.3144
0.541270.928046.3634
0.545780.94746.4125
0.550330.967086.4617
0.554920.98716.5109
0.559551.00746.5601
0.564211.02816.6094
0.568921.0496.6587
0.573661.07026.7081
0.578441.09176.7576
0.583271.11346.8071
0.588131.13546.8566
0.593031.15766.9063
0.597981.18016.956
0.602961.20287.0058
0.607991.22577.0558
0.613061.24897.106
0.618171.27237.1563
0.623321.29597.2069
0.628521.31987.2578
0.633761.34417.3089
0.639041.36877.3605
0.644371.39377.4124
0.649741.41927.4649
0.655161.44527.5178
0.660621.4727.5713
0.666131.49967.6254
0.671681.52837.6801
0.677281.55817.7354
0.682931.58947.7913
0.688621.62237.8477
0.694361.65737.9046
0.700151.69457.9618
0.705991.73458.0191
0.711871.77758.0761
0.717811.82418.1324
0.723791.87458.1875
0.729831.92918.2405
0.735911.98838.2905
0.742052.05218.3365
0.748232.12058.3769
0.754472.1938.4104
0.760762.26878.4352
0.76712.34638.4497
0.77352.42378.4524
0.779952.49828.4424
0.786452.56678.4194
0.7932.62578.3841
0.799622.67198.3382
0.806282.70268.2847
0.8132.71578.2271
0.819782.71078.1697
0.826622.68828.1165
0.833512.64988.071
0.840462.59828.0362
0.847462.53628.0137
0.854532.46718.0045
0.861652.39358.0086
0.868842.31818.0253
0.876082.24278.0538
0.883382.16898.0929
0.890752.09778.1412
0.898172.038.1974
0.905661.9668.2605
0.913211.9068.3294
0.920831.858.4032
0.92851.7988.4811
0.936241.74988.5624
0.944051.70528.6466
0.951921.66418.7333
0.959861.62618.8221
0.967861.5918.9127
0.975931.55879.0048
0.984061.5299.0983
0.992271.50169.193
1.00051.47659.2887
1.00891.45349.3855
1.01731.43219.4831
1.02581.41279.5815
1.03431.39499.6807
1.04291.37869.7806
1.05161.36389.8813
1.06041.35039.9826
1.06931.338110.085
1.07821.32710.187
1.08721.317210.29
1.09621.308310.394
1.10541.300610.499
1.11461.293710.604
1.12391.287810.709
1.13321.282810.816
1.14271.278610.923
1.15221.275211.03
1.16181.272611.138
1.17151.270811.247
1.18131.269711.356
1.19111.269211.467
1.2011.269511.577
1.21111.270311.689
1.22121.271811.801
1.23131.27411.913
1.24161.276712.027
1.2521.2812.141
1.26241.283912.255
1.27291.288312.371
1.28351.293212.487
1.29421.298712.604
1.3051.304812.721
1.31591.311312.839
1.32691.318312.958
1.33791.325813.078
1.34911.333813.199
1.36031.342313.32
1.37171.351313.442
1.38311.360713.565
1.39461.370613.688
1.40631.38113.812
1.4181.391813.937
1.42981.403114.063
1.44171.414814.19
1.45371.426914.318
1.46591.439514.446
1.47811.452614.575
1.49041.466114.705
1.50281.4814.836
1.51541.494314.968
1.5281.509115.1
1.54071.524315.234
1.55361.539915.368
1.56651.55615.503
1.57961.572515.639
1.59281.589515.776
1.6061.606815.914
1.61941.624616.053
1.63291.642916.192
1.64651.661516.333
1.66031.680616.475
1.67411.700216.617
1.68811.720116.76
1.70211.740516.905
1.71631.761417.05
1.73061.782717.196
1.74511.804417.344
1.75961.826617.492
1.77431.849217.641
1.78911.872317.792
1.8041.895817.943
1.8191.919818.095
1.83421.944318.248
1.84951.969218.403
1.86491.994518.558
1.88052.020418.714
1.89612.046718.872
1.91192.073519.03
1.92792.100719.19
1.9442.128519.351
1.96022.156719.512
1.97652.185419.675
1.9932.214619.839
2.00962.244320.004
2.02642.274520.17
2.04332.305120.337
2.06032.336320.505
2.07752.36820.675
2.09482.400220.845
2.11222.43321.017
2.12992.466221.19
2.14762.521.364
2.16552.534321.539
2.18362.569121.715
2.20182.604521.892
2.22012.640422.071
2.23862.676922.251
2.25732.713922.432
2.27612.751522.614
2.29512.789622.797
2.31422.828322.982
2.33352.867623.167
2.3532.907423.354
2.37262.947823.542
2.39242.988823.732
2.41233.030423.922
2.43243.072624.114
2.45273.115324.308
2.47323.158724.502
2.49383.202724.698
2.51463.247324.894
2.53553.292525.093
2.55673.338325.292
2.5783.384725.493
2.59953.431825.695
2.62113.479525.898
2.6433.527926.103
2.6653.576826.309
2.68733.626526.516
2.70973.676826.725
2.73223.727726.934
2.7553.779327.146
2.7783.831627.358
2.80123.884527.572
2.82453.938127.787
2.84813.992428.004
2.87184.047428.222
2.89574.10328.441
2.91994.159428.662
2.94424.216428.884
2.96884.274129.108
2.99354.332629.332
3.01854.391729.559
3.04364.451629.786
3.0694.512230.015
3.09464.573530.246
3.12044.635530.478
3.14644.698230.711
3.17264.761730.946
3.19914.825931.182
3.22584.890931.42
3.25274.956631.659
3.27985.02331.899
3.30715.090232.142
3.33475.158232.385
3.36255.226932.63
3.39055.296332.876
3.41885.366533.124
3.44735.437533.374
3.4765.509333.625
3.5055.581833.877
3.53425.655134.131
3.56375.729234.387
3.59345.80434.644
3.62345.879734.903
3.65365.956135.163
3.6846.033335.425
3.71476.111335.688
3.74576.190135.953
3.77696.269736.219
3.80846.350136.487
3.84026.431336.757
3.87226.513237.028
3.90456.59637.301
3.9376.679637.575
3.96996.76437.852
4.0036.849238.129
4.03636.935238.409
4.077.022138.69
4.10397.109738.973
4.13817.198139.257
4.17267.287439.543
4.20747.377539.831
4.24257.468440.121
4.27797.560140.412
4.31357.652740.705
4.34957.746141.0
4.38577.840241.296
4.42237.935341.595
4.45928.031141.895
4.49638.127842.196
4.53388.225342.5
4.57168.323642.806
4.60978.422843.113
4.64828.522843.422
4.68698.623743.733
4.7268.725344.046
4.76548.827844.361
4.80518.931244.678
4.84529.035444.996
4.88569.140445.317
4.92639.246345.64
4.96749.35345.964
5.00889.460646.291
5.05069.56946.619
5.09279.678346.95
5.13519.788447.282
5.17799.899447.617
5.221110.01147.954
5.264610.12448.292
5.308510.23848.633
5.352810.35248.976
5.397410.46749.321
5.442410.58449.669
5.487810.70150.018
5.533510.81950.37
5.579710.93750.724
5.626211.05751.08
5.673111.17851.439
5.720411.29951.8
5.768111.42252.163
5.816111.54552.528
5.864611.66952.896
5.913511.79553.266
5.962811.92153.639
6.012512.04854.014
6.062712.17654.392
6.113212.30554.772
6.164212.43555.154
6.215612.56655.54
6.267412.69855.927
6.319612.8356.317
6.372312.96456.71
6.425413.09957.106
6.47913.23557.504
6.53313.37257.905
6.587513.5158.309
6.642413.64958.715
6.697813.78959.124
6.753613.93159.536
6.809914.07359.951
6.866714.21660.369
6.92414.36160.789
6.981714.50761.213
7.039914.65461.639
7.098614.80262.069
7.157814.95162.501
7.217415.10162.937
7.277615.25363.375
7.338315.40663.817
7.399515.5664.262
7.461115.71664.71
7.523315.87365.161
7.586116.03165.615
7.649316.19166.073
7.713116.35266.534
7.777416.51466.998
7.842216.67867.465
7.907616.84467.936
7.973517.0168.411
8.0417.17968.889
8.10717.34969.37
8.174617.5269.854
8.242817.69370.343
8.311517.86870.834
8.380818.04571.33
8.450718.22371.829
8.521118.40372.331
8.592118.58572.837
8.663818.76873.347
8.73618.95373.861
8.808819.14174.378
8.882319.3374.899
8.956319.52175.424
9.03119.71475.953
9.106319.90976.485
9.182220.10677.022
9.258820.30677.562
9.335920.50778.106
9.413820.71178.654
9.492320.91779.206
9.571421.12579.762
9.651221.33580.322
9.731721.54880.886
9.812821.76381.454
9.894621.98182.026
9.977122.20182.602
10.0622.42483.182
10.14422.64983.766
10.22922.87784.355
10.31423.10884.947
10.423.34185.544
10.48723.57886.145
10.57423.81786.75
10.66224.05887.359
10.75124.30387.973
10.84124.55188.59
10.93124.80289.212
11.02225.05689.838
11.11425.31290.468
11.20725.57391.103
11.325.83691.741
11.39426.10392.384
11.48926.37393.032
11.58526.64693.683
11.68226.92394.339
11.77927.20394.999
11.87727.48795.663
11.97627.77496.332
12.07628.06597.005
12.17728.3697.682
12.27928.65998.363
12.38128.96199.049
12.48429.26799.739
12.58829.577100.43
12.69329.891101.13
12.79930.209101.83
12.90630.531102.54
13.01330.857103.25
13.12231.187103.97
13.23131.522104.69
13.34131.861105.41
13.45332.204106.14
13.56532.551106.87
13.67832.903107.61
13.79233.26108.35
13.90733.62109.09
14.02333.986109.84
14.1434.356110.59
14.25834.731111.35
14.37635.11112.11
14.49635.494112.87
14.61735.883113.64
14.73936.277114.41
14.86236.676115.19
14.98637.08115.97
15.11137.488116.76
15.23737.902117.54
15.36438.321118.34
15.49238.745119.13
15.62139.174119.93
15.75139.608120.73
15.88340.048121.54
16.01540.493122.35
16.14940.943123.17
16.28341.398123.99
16.41941.859124.81
16.55642.326125.63
16.69442.798126.46
16.83343.275127.29
16.97343.758128.13
17.11544.247128.97
17.25744.741129.81
17.40145.241130.66
17.54645.746131.51
17.69346.258132.36
17.8446.775133.22
17.98947.298134.07
18.13947.826134.94
18.2948.361135.8
18.44348.901136.67
18.59649.447137.54
18.75150.0138.42
18.90850.558139.29
19.06551.122140.18
19.22451.692141.06
19.38552.268141.95
19.54652.85142.83
19.70953.439143.73
19.87354.033144.62
20.03954.633145.52
20.20655.24146.42
20.37555.852147.32
20.54556.471148.23
20.71657.096149.13
20.88957.727150.04
21.06358.364150.96
21.23859.008151.87
21.41559.657152.79
21.59460.313153.71
21.77460.975154.63
21.95561.644155.55
22.13862.318156.48
22.32362.999157.41
22.50963.686158.34
22.69764.379159.27
22.88665.078160.21
23.07765.784161.14
23.26966.496162.08
23.46367.214163.02
23.65967.939163.97
23.85668.669164.91
24.05569.406165.86
24.25570.149166.8
24.45870.898167.75
24.66271.654168.7
24.86772.415169.66
25.07573.183170.61
25.28473.957171.57
25.49474.737172.52
25.70775.524173.48
25.92176.316174.44
26.13777.115175.41
26.35577.92176.37
26.57578.731177.33
26.79679.547178.3
27.0280.37179.27
27.24581.2180.23
27.47282.035181.2
27.70182.876182.18
27.93283.723183.15
28.16584.576184.12
28.485.435185.09
28.63786.3186.07
28.87587.171187.05
29.11688.048188.02
29.35988.931189.0
29.60489.819189.98
29.8590.713190.96
30.09991.614191.94
30.3592.52192.93
30.60393.431193.91
30.85894.349194.89
31.11695.272195.88
31.37596.201196.86
31.63797.135197.85
31.998.075198.84
32.16699.021199.83
32.43599.972200.82
32.705100.93201.81
32.978101.89202.8
33.253102.86203.79
33.53103.83204.78
33.809104.81205.77
34.091105.79206.77
34.375106.78207.76
34.662107.78208.76
34.951108.78209.75
35.242109.78210.75
35.536110.79211.75
35.832111.81212.74
36.131112.83213.74
36.432113.86214.74
36.736114.89215.74
37.042115.92216.74
37.351116.97217.74
37.663118.01218.75
37.977119.06219.75
38.293120.12220.75
38.612121.18221.76
38.934122.25222.76
39.259123.32223.77
39.586124.39224.78
39.916125.47225.78
40.249126.56226.79
40.585127.65227.8
40.923128.74228.81
41.264129.84229.82
41.608130.95230.83
41.955132.06231.85
42.305133.17232.86
42.657134.29233.87
43.013135.41234.89
43.372136.54235.9
43.733137.67236.92
44.098138.81237.94
44.466139.95238.96
44.836141.1239.98
45.21142.25241.0
45.587143.4242.02
45.967144.56243.04
46.35145.72244.07
46.737146.89245.09
47.126148.06246.12
47.519149.24247.14
47.915150.42248.17
48.315151.6249.2
48.718152.79250.23
49.124153.98251.27
49.533155.18252.3
49.946156.38253.33
50.363157.59254.37
50.783158.8255.41
51.206160.01256.45
51.633161.23257.49
52.063162.45258.53
52.497163.67259.57
52.935164.9260.62
53.376166.14261.66
53.821167.38262.71
54.27168.62263.76
54.722169.87264.81
55.179171.12265.86
55.639172.37266.92
56.102173.63267.97
56.57174.89269.03
57.042176.16270.09
57.517177.43271.15
57.997178.7272.22
58.48179.98273.28
58.968181.26274.35
59.46182.55275.42
59.955183.83276.49
60.455185.13277.56
60.959186.43278.64
61.467187.73279.72
61.98189.03280.8
62.497190.34281.88
63.018191.65282.97
63.543192.97284.05
64.073194.29285.14
64.607195.62286.23
65.145196.94287.33
65.689198.28288.42
66.236199.61289.52
66.788200.95290.62
67.345202.3291.73
67.907203.65292.84
68.473205.0293.95
69.044206.35295.06
69.619207.71296.17
70.2209.08297.29
70.785210.44298.41
71.375211.81299.53
71.97213.19300.66
72.57214.57301.79
73.175215.95302.92
73.785217.34304.06
74.4218.73305.2
75.021220.12306.34
75.646221.52307.48
76.277222.92308.63
76.913224.33309.78
77.554225.74310.93
78.2227.16312.09
78.852228.58313.25
79.51230.0314.42
80.173231.42315.58
80.841232.86316.76
81.515234.29317.93
82.195235.73319.11
82.88237.17320.29
83.571238.62321.48
84.267240.07322.66
84.97241.52323.86
85.678242.98325.05
86.393244.45326.25
87.113245.91327.46
87.839247.39328.67
88.571248.86329.88
89.31250.34331.09
90.054251.83332.31
90.805253.31333.54
91.562254.81334.77
92.326256.3336.0
93.095257.81337.23
93.871259.31338.47
94.654260.82339.72
95.443262.34340.97
96.239263.85342.22
97.041265.38343.48
97.85266.91344.74
98.666268.44346.01
99.489269.97347.28
100.32271.51348.55
101.15273.06349.83
102.0274.61351.12
102.85276.16352.41
103.71277.72353.7
104.57279.29355.0
105.44280.85356.3
106.32282.43357.61
107.21284.0358.92
108.1285.59360.24
109.0287.17361.56
109.91288.76362.89
110.83290.36364.22
111.75291.96365.56
112.68293.57366.9
113.62295.18368.25
114.57296.79369.61
115.52298.41370.96
116.49300.04372.33
117.46301.67373.69
118.44303.3375.07
119.43304.94376.45
120.42306.59377.83
121.43308.23379.22
122.44309.89380.62
123.46311.55382.02
124.49313.21383.42
125.53314.88384.84
126.57316.56386.25
127.63318.24387.68
128.69319.93389.1
129.76321.62390.54
130.85323.31391.98
131.94325.01393.42
133.04326.72394.88
134.15328.43396.33
135.26330.15397.8
136.39331.87399.27
137.53333.6400.74
138.68335.33402.22
139.83337.07403.71
141.0338.82405.2
142.17340.57406.7
143.36342.32408.21
144.55344.09409.72
145.76345.85411.24
146.97347.63412.76
148.2349.4414.29
149.43351.19415.83
150.68352.98417.37
151.94354.77418.92
153.2356.58420.48
154.48358.38422.04
155.77360.2423.61
157.07362.02425.19
158.38363.84426.77
159.7365.67428.36
161.03367.51429.95
162.37369.35431.56
163.72371.2433.16
165.09373.06434.78
166.47374.92436.4
167.85376.79438.03
169.25378.66439.67
170.66380.54441.31
172.09382.43442.96
173.52384.32444.62
174.97386.22446.28
176.43388.13447.95
177.9390.04449.63
179.38391.96451.32
180.88393.88453.01
182.38395.81454.71
183.9397.75456.42
185.44399.7458.13
186.98401.65459.85
188.54403.61461.58
190.11405.57463.32
191.7407.54465.06
193.3409.52466.82
194.91411.51468.57
196.53413.5470.34
198.17415.5472.12
199.82417.5473.9
201.49419.52475.69
203.17421.54477.48
204.86423.56479.29
206.57425.6481.1
208.29427.64482.92
210.03429.68484.75
211.78431.74486.59
213.55433.8488.43
215.33435.87490.28
217.12437.95492.14
218.93440.03494.01
220.76442.12495.89
222.6444.22497.77
224.45446.33499.66
226.33448.44501.56
228.21450.57503.47
230.12452.69505.39
232.03454.83507.32
233.97456.97509.25
235.92459.13511.19
237.89461.29513.14
239.87463.45515.1
241.87465.63517.07
243.88467.81519.05
245.92470.0521.03
247.97472.2523.02

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
—