Optical constants

Refractive index of SK18 (HIKARI)

SK18: n,k 0.4–0.7 µm

Data
formula 3 + tabulated k
Range
0.4–0.7 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.4–0.7 µm
Refractive index n
1.63854
Extinction coefficient k
1.29605e-08
Permittivity ε1
2.68481
Permittivity ε2
4.24725e-08
Absorption coefficient α
0.00277172 cm⁻¹
Penetration depth δ = λ/(2πk)
7.21573e+09 nm
Abbe number Vd
55.48
Chromatic dispersion dn/dλ
-0.0592228 µm⁻¹
Group index ng
1.67334
Group velocity dispersion
106.103 fs²/mm
Dispersion parameter D
-578.85 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

# SK18 (HIKARI): SK18
hikari_sk18 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "SK18", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_sk18.range_nm)  # (400, 700) nm
eps = hikari_sk18.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

Polynomial (formula 3), λ in µm
n2=2.652537−0.02070769⁢λ2.0+0.008235652⁢λ−2.0+0.0025989⁢λ−4.0−0.0003027232⁢λ−6.0+1.591967×10-5⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.652537
C2-0.02070769
C32.0
C40.008235652
C5-2.0
C60.0025989
C7-4.0
C8-0.0003027232
C9-6.0
C101.591967e-05
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

nd
1.638540
Vd
55.479588
glass code
639555
glass status
preferred
density
value: 3690
thermal expansion
value: 8.1e-06, temperature range: 243 343
dPgF
-0.0021

References

Cite

NIKON Zemax catalog 2017-11 (obtained from http://www.nikon.com); See also HIKARI glass data sheets; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 408 wavelengths, the same grid as the API and the library
SK18 (HIKARI), SK18: n and k versus wavelength
λ (µm)nk
0.41.6590961.465600e-07
0.4005611.6589841.449175e-07
0.4011241.6588721.432728e-07
0.4016871.658761.416257e-07
0.402251.6586491.399763e-07
0.4028151.6585381.383246e-07
0.403381.6584281.366706e-07
0.4039461.6583181.350142e-07
0.4045131.6582081.333555e-07
0.4050811.6580991.316945e-07
0.405651.657991.300312e-07
0.4062191.6578811.283655e-07
0.4067891.6577731.266975e-07
0.407361.6576661.250272e-07
0.4079321.6575581.233545e-07
0.4085041.6574511.216795e-07
0.4090781.6573451.200021e-07
0.4096521.6572391.183223e-07
0.4102271.6571331.166402e-07
0.4108031.6570271.149558e-07
0.4113791.6569221.132690e-07
0.4119571.6568181.115798e-07
0.4125351.6567131.098882e-07
0.4131141.6566091.081943e-07
0.4136941.6565061.064980e-07
0.4142741.6564021.047993e-07
0.4148561.65631.030982e-07
0.4154381.6561971.013947e-07
0.4160211.6560959.968885e-08
0.4166051.6559939.798060e-08
0.417191.6558919.626995e-08
0.4177751.655799.455690e-08
0.4183621.6556899.284145e-08
0.4189491.6555899.112358e-08
0.4195371.6554898.940331e-08
0.421.655418.804800e-08
0.4201261.6553898.796176e-08
0.4207151.6552898.755681e-08
0.4213061.655198.715130e-08
0.4218971.6550918.674521e-08
0.4224891.6549938.633856e-08
0.4230821.6548958.593133e-08
0.4236761.6547978.552353e-08
0.4242711.65478.511516e-08
0.4248661.6546028.470622e-08
0.4254621.6545058.429670e-08
0.426061.6544098.388661e-08
0.4266581.6543138.347594e-08
0.4272561.6542178.306470e-08
0.4278561.6541218.265288e-08
0.4284571.6540268.224048e-08
0.4290581.6539318.182750e-08
0.429661.6538368.141394e-08
0.4302631.6537428.099980e-08
0.4308671.6536488.058508e-08
0.4314721.6535548.016978e-08
0.4320771.6534617.975390e-08
0.4326841.6533687.933743e-08
0.4332911.6532757.892038e-08
0.4338991.6531827.850274e-08
0.4345081.653097.808451e-08
0.4351181.6529987.766570e-08
0.4357291.6529077.724630e-08
0.436341.6528157.682632e-08
0.4369531.6527247.640574e-08
0.4375661.6526337.598457e-08
0.438181.6525437.556281e-08
0.4387951.6524537.514046e-08
0.4394111.6523637.471752e-08
0.441.6522777.431300e-08
0.4400281.6522737.429701e-08
0.4406451.6521847.394041e-08
0.4412641.6520957.358331e-08
0.4418831.6520067.322571e-08
0.4425031.6519187.286761e-08
0.4431241.651837.250901e-08
0.4437461.6517427.214990e-08
0.4443691.6516547.179029e-08
0.4449931.6515677.143018e-08
0.4456171.651487.106955e-08
0.4462431.6513937.070843e-08
0.4468691.6513067.034679e-08
0.4474961.651226.998465e-08
0.4481241.6511346.962200e-08
0.4487531.6510486.925884e-08
0.4493831.6509636.889517e-08
0.4500141.6508786.853099e-08
0.4506451.6507936.816630e-08
0.4512781.6507086.780110e-08
0.4519111.6506246.743539e-08
0.4525461.650546.706916e-08
0.4531811.6504566.670242e-08
0.4538171.6503726.633516e-08
0.4544541.6502896.596739e-08
0.4550921.6502066.559910e-08
0.455731.6501236.523029e-08
0.456371.650046.486097e-08
0.4570111.6499586.449113e-08
0.4576521.6498766.412077e-08
0.4582941.6497946.374989e-08
0.4589381.6497126.337849e-08
0.4595821.6496316.300656e-08
0.461.6495786.276500e-08
0.4602271.649556.257629e-08
0.4608731.6494696.203851e-08
0.4615191.6493896.149997e-08
0.4621671.6493086.096068e-08
0.4628161.6492286.042064e-08
0.4634651.6491485.987983e-08
0.4641161.6490695.933827e-08
0.4647671.6489895.879595e-08
0.465421.648915.825286e-08
0.4660731.6488325.770901e-08
0.4667271.6487535.716440e-08
0.4673821.6486755.661903e-08
0.4680381.6485965.607289e-08
0.4686951.6485185.552598e-08
0.4693531.6484415.497831e-08
0.4700121.6483635.442986e-08
0.4706711.6482865.388065e-08
0.4713321.6482095.333067e-08
0.4719931.6481335.277991e-08
0.4726561.6480565.222838e-08
0.4733191.647985.167608e-08
0.4739841.6479045.112300e-08
0.4746491.6478285.056915e-08
0.4753151.6477525.001452e-08
0.4759821.6476774.945911e-08
0.476651.6476024.890292e-08
0.4773191.6475274.834595e-08
0.4779891.6474524.778820e-08
0.478661.6473784.722966e-08
0.4793321.6473044.667035e-08
0.481.647234.611400e-08
0.4800051.647234.611081e-08
0.4806781.6471564.563399e-08
0.4813531.6470824.515651e-08
0.4820281.6470094.467836e-08
0.4827051.6469364.419954e-08
0.4833821.6468634.372005e-08
0.4840611.646794.323988e-08
0.484741.6467184.275904e-08
0.4854211.6466464.227752e-08
0.4861021.6465744.179533e-08
0.4867841.6465024.131246e-08
0.4874671.646434.082892e-08
0.4881521.6463594.034469e-08
0.4888371.6462883.985979e-08
0.4895231.6462173.937420e-08
0.490211.6461463.888793e-08
0.4908981.6460753.840098e-08
0.4915871.6460053.791335e-08
0.4922771.6459353.742504e-08
0.4929681.6458653.693603e-08
0.493661.6457953.644634e-08
0.4943531.6457263.595597e-08
0.4950461.6456573.546490e-08
0.4957411.6455873.497315e-08
0.4964371.6455193.448071e-08
0.4971341.645453.398757e-08
0.4978321.6453813.349374e-08
0.498531.6453133.299922e-08
0.499231.6452453.250401e-08
0.4999311.6451773.200810e-08
0.51.6451713.195900e-08
0.5006321.645113.166566e-08
0.5013351.6450423.133967e-08
0.5020391.6449753.101323e-08
0.5027431.6449083.068633e-08
0.5034491.6448413.035897e-08
0.5041551.6447743.003116e-08
0.5048631.6447082.970288e-08
0.5055721.6446422.937414e-08
0.5062811.6445752.904494e-08
0.5069921.644512.871527e-08
0.5077031.6444442.838515e-08
0.5084161.6443782.805456e-08
0.509131.6443132.772351e-08
0.5098441.6442482.739199e-08
0.510561.6441832.706001e-08
0.5112761.6441182.672756e-08
0.5119941.6440542.639465e-08
0.5127121.6439892.606126e-08
0.5134321.6439252.572741e-08
0.5141531.6438612.539309e-08
0.5148741.6437972.505831e-08
0.5155971.6437342.472305e-08
0.5163211.643672.438732e-08
0.5170451.6436072.405112e-08
0.5177711.6435442.371445e-08
0.5184981.6434812.337730e-08
0.5192251.6434182.303969e-08
0.5199541.6433562.270160e-08
0.5206841.6432942.236303e-08
0.5214151.6432312.202399e-08
0.5221471.6431692.168447e-08
0.5228791.6431082.134448e-08
0.5236131.6430462.100401e-08
0.5243481.6429852.066306e-08
0.5250841.6429232.032163e-08
0.5258211.6428621.997973e-08
0.5265591.6428011.963734e-08
0.5272981.6427411.929448e-08
0.5280381.642681.895113e-08
0.5287791.642621.860730e-08
0.5295211.642561.826299e-08
0.5302651.64251.791819e-08
0.5310091.642441.757291e-08
0.5317541.642381.722715e-08
0.5325011.6423211.688090e-08
0.5332481.6422611.653416e-08
0.5339961.6422021.618694e-08
0.5347461.6421431.583923e-08
0.5354961.6420841.549103e-08
0.5362481.6420261.514235e-08
0.5370011.6419671.479317e-08
0.5377541.6419091.444351e-08
0.5385091.6418511.409335e-08
0.5392651.6417931.374270e-08
0.5400221.6417351.339156e-08
0.540781.6416771.303993e-08
0.5415391.641621.268781e-08
0.5422991.6415621.233519e-08
0.543061.6415051.198207e-08
0.5438221.6414481.162846e-08
0.5445851.6413911.127435e-08
0.545351.6413351.091975e-08
0.5461151.6412781.056465e-08
0.5468821.6412221.020905e-08
0.5476491.6411669.852947e-09
0.5484181.641119.496348e-09
0.5491871.6410549.139248e-09
0.5499581.6409988.781647e-09
0.551.6409958.762300e-09
0.550731.6409428.843827e-09
0.5515031.6408878.930132e-09
0.5522771.6408329.016558e-09
0.5530521.6407779.103105e-09
0.5538291.6407229.189774e-09
0.5546061.6406679.276564e-09
0.5553841.6406129.363477e-09
0.5561641.6405589.450511e-09
0.5569441.6405049.537667e-09
0.5577261.6404499.624945e-09
0.5585091.6403959.712347e-09
0.5592931.6403429.799870e-09
0.5600781.6402889.887517e-09
0.5608641.6402349.975287e-09
0.5616511.6401811.006318e-08
0.5624391.6401281.015120e-08
0.5632291.6400741.023934e-08
0.5640191.6400211.032760e-08
0.5648111.6399691.041599e-08
0.5656041.6399161.050450e-08
0.5663971.6398631.059313e-08
0.5671921.6398111.068189e-08
0.5679881.6397591.077078e-08
0.5687861.6397071.085979e-08
0.5695841.6396551.094892e-08
0.5703831.6396031.103818e-08
0.5711841.6395511.112756e-08
0.5719861.63951.121707e-08
0.5727881.6394481.130671e-08
0.5735921.6393971.139647e-08
0.5743971.6393461.148636e-08
0.5752041.6392951.157637e-08
0.5760111.6392441.166651e-08
0.5768191.6391941.175678e-08
0.5776291.6391431.184717e-08
0.578441.6390931.193769e-08
0.5792511.6390431.202834e-08
0.5800641.6389921.211911e-08
0.5808791.6389421.221002e-08
0.5816941.6388931.230105e-08
0.582511.6388431.239220e-08
0.5833281.6387931.248349e-08
0.5841471.6387441.257490e-08
0.5849661.6386951.266644e-08
0.5857871.6386451.275811e-08
0.586611.6385961.284991e-08
0.5874331.6385481.294184e-08
0.5882571.6384991.303389e-08
0.5890831.638451.312608e-08
0.589911.6384021.321840e-08
0.5907381.6383531.331084e-08
0.5915671.6383051.340341e-08
0.5923971.6382571.349612e-08
0.5932291.6382091.358895e-08
0.5940611.6381611.368192e-08
0.5948951.6381131.377501e-08
0.595731.6380661.386824e-08
0.5965661.6380181.396160e-08
0.5974031.6379711.405508e-08
0.5982421.6379241.414870e-08
0.5990821.6378771.424245e-08
0.5999221.637831.433633e-08
0.61.6378251.434500e-08
0.6007641.6377831.428400e-08
0.6016081.6377361.421671e-08
0.6024521.6376891.414933e-08
0.6032981.6376431.408186e-08
0.6041441.6375971.401429e-08
0.6049921.637551.394662e-08
0.6058411.6375041.387886e-08
0.6066921.6374581.381101e-08
0.6075431.6374121.374306e-08
0.6083961.6373671.367501e-08
0.609251.6373211.360687e-08
0.6101051.6372761.353863e-08
0.6109611.637231.347030e-08
0.6118191.6371851.340187e-08
0.6126771.637141.333335e-08
0.6135371.6370951.326473e-08
0.6143981.637051.319601e-08
0.6152611.6370051.312719e-08
0.6161241.636961.305828e-08
0.6169891.6369161.298928e-08
0.6178551.6368711.292017e-08
0.6187221.6368271.285097e-08
0.6195911.6367831.278167e-08
0.620461.6367391.271228e-08
0.6213311.6366951.264279e-08
0.6222031.6366511.257320e-08
0.6230761.6366071.250351e-08
0.6239511.6365631.243372e-08
0.6248271.636521.236384e-08
0.6257041.6364761.229386e-08
0.6265821.6364331.222378e-08
0.6274611.636391.215360e-08
0.6283421.6363471.208332e-08
0.6292241.6363031.201295e-08
0.6301071.6362611.194247e-08
0.6309911.6362181.187190e-08
0.6318771.6361751.180123e-08
0.6327641.6361331.173046e-08
0.6336521.636091.165959e-08
0.6345411.6360481.158862e-08
0.6354321.6360051.151755e-08
0.6363241.6359631.144638e-08
0.6372171.6359211.137511e-08
0.6381111.6358791.130374e-08
0.6390071.6358371.123227e-08
0.6399041.6357961.116070e-08
0.6408021.6357541.108903e-08
0.6417011.6357121.101726e-08
0.6426021.6356711.094539e-08
0.6435041.635631.087341e-08
0.6444071.6355881.080134e-08
0.6453111.6355471.072917e-08
0.6462171.6355061.065689e-08
0.6471241.6354651.058451e-08
0.6480321.6354241.051203e-08
0.6489421.6353841.043945e-08
0.6498521.6353431.036677e-08
0.651.6353371.035500e-08
0.6507651.6353031.019666e-08
0.6516781.6352621.000750e-08
0.6525931.6352229.818073e-09
0.6535091.6351819.628383e-09
0.6544261.6351419.438427e-09
0.6553441.6351019.248204e-09
0.6562641.6350619.057715e-09
0.6571851.6350218.866958e-09
0.6581081.6349828.675933e-09
0.6590311.6349428.484640e-09
0.6599561.6349028.293079e-09
0.6608821.6348638.101249e-09
0.661811.6348237.909150e-09
0.6627391.6347847.716781e-09
0.6636691.6347457.524142e-09
0.6646011.6347067.331232e-09
0.6655331.6346677.138052e-09
0.6664671.6346286.944601e-09
0.6674031.6345896.750878e-09
0.668341.634556.556883e-09
0.6692781.6345116.362616e-09
0.6702171.6344736.168077e-09
0.6711581.6344345.973264e-09
0.67211.6343965.778178e-09
0.6730431.6343575.582818e-09
0.6739881.6343195.387184e-09
0.6749331.6342815.191276e-09
0.6758811.6342434.995092e-09
0.6768291.6342054.798633e-09
0.6777791.6341674.601898e-09
0.6787311.6341294.404887e-09
0.6796831.6340914.207600e-09
0.6806371.6340544.010036e-09
0.6815921.6340163.812194e-09
0.6825491.6339793.614075e-09
0.6835071.6339413.415678e-09
0.6844661.6339043.217002e-09
0.6854271.6338673.018048e-09
0.6863891.6338292.818814e-09
0.6873521.6337922.619300e-09
0.6883171.6337552.419507e-09
0.6892831.6337182.219433e-09
0.6902511.6336822.019078e-09
0.6912191.6336451.818442e-09
0.692191.6336081.617525e-09
0.6931611.6335711.416325e-09
0.6941341.6335351.214844e-09
0.6951081.6334981.013079e-09
0.6960841.6334628.110311e-10
0.6970611.6334266.086997e-10
0.6980391.6333894.060843e-10
0.6990191.6333532.031845e-10
0.71.6333170

Optical transmission calculator

Free-standing sample in vacuum, normal incidence
Method
Transmittance T
—
Reflectance R
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Fresnel reflection calculator

Direction
Rp
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Rs
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R = (Rp+Rs)/2
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Phase φp
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Phase φs
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Brewster angle θB
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Critical angle θC
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