Optical constants

Refractive index of E-SK16 (HIKARI)

E-SK16: n,k 0.4–0.7 µm

Data
formula 3 + tabulated k
Range
0.4–0.7 µm
Temperature
296 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
1.62041
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.62573
Permittivity ε2
1.51615e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
60.292
Chromatic dispersion dn/dλ
-0.0531677 µm⁻¹
Group index ng
1.65165
Group velocity dispersion
92.8466 fs²/mm
Dispersion parameter D
-506.527 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

# E-SK16 (HIKARI): E-SK16
hikari_e_sk16 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-SK16", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_sk16.range_nm)  # (400, 700) nm
eps = hikari_e_sk16.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=2.58572188−0.0114561541⁢λ2.0+0.0140913669⁢λ−2.0+0.000439966701⁢λ−4.0−2.67679001×10-5⁢λ−6.0+1.51331053×10-6⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.58572188
C2-0.0114561541
C32.0
C40.0140913669
C5-2.0
C60.000439966701
C7-4.0
C8-2.67679001e-05
C9-6.0
C101.51331053e-06
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.620411
Vd
60.291663
glass code
620603
glass status
preferred
density
value: 3600
thermal expansion
value: 7.6e-06, temperature range: 243 343
dPgF
-0.0008

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
E-SK16 (HIKARI), E-SK16: n and k versus wavelength
λ (µm)nk
0.41.6385733.184700e-09
0.4005611.6384753.189169e-09
0.4011241.6383783.193644e-09
0.4016871.6382813.198125e-09
0.402251.6381853.202613e-09
0.4028151.6380893.207107e-09
0.403381.6379933.211607e-09
0.4039461.6378983.216114e-09
0.4045131.6378033.220627e-09
0.4050811.6377083.225146e-09
0.405651.6376133.229672e-09
0.4062191.6375193.234204e-09
0.4067891.6374253.238742e-09
0.407361.6373313.243287e-09
0.4079321.6372383.247838e-09
0.4085041.6371453.252395e-09
0.4090781.6370523.256959e-09
0.4096521.6369593.261529e-09
0.4102271.6368673.266106e-09
0.4108031.6367753.270689e-09
0.4113791.6366843.275279e-09
0.4119571.6365923.279875e-09
0.4125351.6365013.284477e-09
0.4131141.6364113.289086e-09
0.4136941.636323.293701e-09
0.4142741.636233.298323e-09
0.4148561.636143.302951e-09
0.4154381.636053.307586e-09
0.4160211.6359613.312227e-09
0.4166051.6358723.316875e-09
0.417191.6357833.321530e-09
0.4177751.6356953.326191e-09
0.4183621.6356073.330858e-09
0.4189491.6355193.335532e-09
0.4195371.6354313.340212e-09
0.421.6353623.343900e-09
0.4201261.6353443.344900e-09
0.4207151.6352563.349597e-09
0.4213061.635173.354300e-09
0.4218971.6350833.359010e-09
0.4224891.6349973.363726e-09
0.4230821.6349113.368449e-09
0.4236761.6348253.373179e-09
0.4242711.6347393.377915e-09
0.4248661.6346543.382658e-09
0.4254621.6345693.387408e-09
0.426061.6344853.392164e-09
0.4266581.63443.396927e-09
0.4272561.6343163.401697e-09
0.4278561.6342323.406473e-09
0.4284571.6341483.411256e-09
0.4290581.6340653.416046e-09
0.429661.6339823.420843e-09
0.4302631.6338993.425646e-09
0.4308671.6338163.430456e-09
0.4314721.6337343.435272e-09
0.4320771.6336523.440096e-09
0.4326841.633573.444926e-09
0.4332911.6334883.449763e-09
0.4338991.6334073.454607e-09
0.4345081.6333263.459458e-09
0.4351181.6332453.464315e-09
0.4357291.6331643.469179e-09
0.436341.6330843.474050e-09
0.4369531.6330043.478928e-09
0.4375661.6329243.483813e-09
0.438181.6328443.488705e-09
0.4387951.6327653.493603e-09
0.4394111.6326863.498508e-09
0.441.632613.503200e-09
0.4400281.6326073.503420e-09
0.4406451.6325283.508336e-09
0.4412641.632453.513259e-09
0.4418831.6323723.518189e-09
0.4425031.6322943.523126e-09
0.4431241.6322163.528070e-09
0.4437461.6321383.533020e-09
0.4443691.6320613.537978e-09
0.4449931.6319843.542942e-09
0.4456171.6319073.547914e-09
0.4462431.6318313.552892e-09
0.4468691.6317553.557878e-09
0.4474961.6316783.562870e-09
0.4481241.6316033.567870e-09
0.4487531.6315273.572876e-09
0.4493831.6314523.577890e-09
0.4500141.6313763.582910e-09
0.4506451.6313023.587938e-09
0.4512781.6312273.592973e-09
0.4519111.6311523.598014e-09
0.4525461.6310783.603063e-09
0.4531811.6310043.608119e-09
0.4538171.630933.613182e-09
0.4544541.6308573.618252e-09
0.4550921.6307833.623329e-09
0.455731.630713.628414e-09
0.456371.6306373.633505e-09
0.4570111.6305653.638604e-09
0.4576521.6304923.643709e-09
0.4582941.630423.648822e-09
0.4589381.6303483.653943e-09
0.4595821.6302763.659070e-09
0.461.6302293.662400e-09
0.4602271.6302043.664204e-09
0.4608731.6301333.669346e-09
0.4615191.6300623.674495e-09
0.4621671.6299913.679651e-09
0.4628161.629923.684814e-09
0.4634651.6298493.689985e-09
0.4641161.6297793.695163e-09
0.4647671.6297093.700348e-09
0.465421.6296393.705541e-09
0.4660731.6295693.710740e-09
0.4667271.62953.715947e-09
0.4673821.629433.721162e-09
0.4680381.6293613.726383e-09
0.4686951.6292923.731612e-09
0.4693531.6292243.736848e-09
0.4700121.6291553.742092e-09
0.4706711.6290873.747343e-09
0.4713321.6290193.752602e-09
0.4719931.6289513.757867e-09
0.4726561.6288833.763140e-09
0.4733191.6288163.768421e-09
0.4739841.6287483.773709e-09
0.4746491.6286813.779004e-09
0.4753151.6286143.784307e-09
0.4759821.6285483.789617e-09
0.476651.6284813.794935e-09
0.4773191.6284153.800260e-09
0.4779891.6283493.805593e-09
0.478661.6282833.810933e-09
0.4793321.6282173.816281e-09
0.481.6281523.821600e-09
0.4800051.6281523.821636e-09
0.4806781.6280863.827002e-09
0.4813531.6280213.832376e-09
0.4820281.6279563.837757e-09
0.4827051.6278913.843145e-09
0.4833821.6278273.848541e-09
0.4840611.6277633.853945e-09
0.484741.6276983.859357e-09
0.4854211.6276343.864776e-09
0.4861021.627573.870202e-09
0.4867841.6275073.875636e-09
0.4874671.6274433.881078e-09
0.4881521.627383.886528e-09
0.4888371.6273173.891985e-09
0.4895231.6272543.897450e-09
0.490211.6271913.902922e-09
0.4908981.6271293.908402e-09
0.4915871.6270673.913890e-09
0.4922771.6270043.919385e-09
0.4929681.6269423.924889e-09
0.493661.6268813.930400e-09
0.4943531.6268193.935918e-09
0.4950461.6267573.941445e-09
0.4957411.6266963.946979e-09
0.4964371.6266353.952521e-09
0.4971341.6265743.958071e-09
0.4978321.6265133.963628e-09
0.498531.6264533.969193e-09
0.499231.6263923.974766e-09
0.4999311.6263323.980347e-09
0.51.6263263.980900e-09
0.5006321.6262723.985934e-09
0.5013351.6262123.991529e-09
0.5020391.6261533.997131e-09
0.5027431.6260934.002741e-09
0.5034491.6260344.008360e-09
0.5041551.6259744.013986e-09
0.5048631.6259154.019619e-09
0.5055721.6258574.025261e-09
0.5062811.6257984.030911e-09
0.5069921.6257394.036569e-09
0.5077031.6256814.042234e-09
0.5084161.6256234.047908e-09
0.509131.6255654.053589e-09
0.5098441.6255074.059279e-09
0.510561.6254494.064976e-09
0.5112761.6253924.070682e-09
0.5119941.6253344.076395e-09
0.5127121.6252774.082117e-09
0.5134321.625224.087846e-09
0.5141531.6251634.093584e-09
0.5148741.6251064.099329e-09
0.5155971.625054.105083e-09
0.5163211.6249934.110845e-09
0.5170451.6249374.116614e-09
0.5177711.6248814.122392e-09
0.5184981.6248254.128178e-09
0.5192251.6247694.133973e-09
0.5199541.6247144.139775e-09
0.5206841.6246584.145585e-09
0.5214151.6246034.151404e-09
0.5221471.6245484.157231e-09
0.5228791.6244934.163066e-09
0.5236131.6244384.168909e-09
0.5243481.6243834.174760e-09
0.5250841.6243294.180620e-09
0.5258211.6242754.186487e-09
0.5265591.624224.192363e-09
0.5272981.6241664.198248e-09
0.5280381.6241124.204140e-09
0.5287791.6240594.210041e-09
0.5295211.6240054.215950e-09
0.5302651.6239514.221867e-09
0.5310091.6238984.227793e-09
0.5317541.6238454.233727e-09
0.5325011.6237924.239669e-09
0.5332481.6237394.245620e-09
0.5339961.6236864.251579e-09
0.5347461.6236344.257546e-09
0.5354961.6235814.263522e-09
0.5362481.6235294.269506e-09
0.5370011.6234774.275499e-09
0.5377541.6234254.281500e-09
0.5385091.6233734.287509e-09
0.5392651.6233214.293527e-09
0.5400221.623274.299553e-09
0.540781.6232184.305588e-09
0.5415391.6231674.311631e-09
0.5422991.6231164.317682e-09
0.543061.6230654.323743e-09
0.5438221.6230144.329811e-09
0.5445851.6229634.335888e-09
0.545351.6229134.341974e-09
0.5461151.6228624.348068e-09
0.5468821.6228124.354171e-09
0.5476491.6227624.360282e-09
0.5484181.6227124.366402e-09
0.5491871.6226624.372531e-09
0.5499581.6226124.378668e-09
0.551.6226094.379000e-09
0.550731.6225624.384812e-09
0.5515031.6225134.390965e-09
0.5522771.6224644.397126e-09
0.5530521.6224144.403297e-09
0.5538291.6223654.409475e-09
0.5546061.6223164.415663e-09
0.5553841.6222674.421859e-09
0.5561641.6222194.428064e-09
0.5569441.622174.434277e-09
0.5577261.6221224.440499e-09
0.5585091.6220734.446730e-09
0.5592931.6220254.452970e-09
0.5600781.6219774.459219e-09
0.5608641.6219294.465476e-09
0.5616511.6218824.471742e-09
0.5624391.6218344.478017e-09
0.5632291.6217864.484300e-09
0.5640191.6217394.490593e-09
0.5648111.6216924.496894e-09
0.5656041.6216454.503204e-09
0.5663971.6215984.509523e-09
0.5671921.6215514.515851e-09
0.5679881.6215044.522188e-09
0.5687861.6214574.528533e-09
0.5695841.6214114.534888e-09
0.5703831.6213644.541251e-09
0.5711841.6213184.547624e-09
0.5719861.6212724.554005e-09
0.5727881.6212264.560395e-09
0.5735921.621184.566795e-09
0.5743971.6211344.573203e-09
0.5752041.6210894.579620e-09
0.5760111.6210434.586046e-09
0.5768191.6209984.592481e-09
0.5776291.6209524.598926e-09
0.578441.6209074.605379e-09
0.5792511.6208624.611841e-09
0.5800641.6208174.618313e-09
0.5808791.6207724.624793e-09
0.5816941.6207284.631283e-09
0.582511.6206834.637782e-09
0.5833281.6206394.644290e-09
0.5841471.6205944.650807e-09
0.5849661.620554.657333e-09
0.5857871.6205064.663868e-09
0.586611.6204624.670413e-09
0.5874331.6204184.676966e-09
0.5882571.6203744.683529e-09
0.5890831.620334.690101e-09
0.589911.6202874.696682e-09
0.5907381.6202434.703273e-09
0.5915671.62024.709873e-09
0.5923971.6201574.716482e-09
0.5932291.6201144.723100e-09
0.5940611.6200714.729728e-09
0.5948951.6200284.736365e-09
0.595731.6199854.743011e-09
0.5965661.6199424.749666e-09
0.5974031.61994.756331e-09
0.5982421.6198574.763006e-09
0.5990821.6198154.769689e-09
0.5999221.6197734.776382e-09
0.61.6197694.777000e-09
0.6007641.6197314.783086e-09
0.6016081.6196894.789800e-09
0.6024521.6196474.796523e-09
0.6032981.6196054.803255e-09
0.6041441.6195634.809997e-09
0.6049921.6195224.816748e-09
0.6058411.619484.823509e-09
0.6066921.6194394.830279e-09
0.6075431.6193984.837059e-09
0.6083961.6193564.843848e-09
0.609251.6193154.850647e-09
0.6101051.6192744.857455e-09
0.6109611.6192344.864273e-09
0.6118191.6191934.871100e-09
0.6126771.6191524.877937e-09
0.6135371.6191124.884784e-09
0.6143981.6190714.891640e-09
0.6152611.6190314.898506e-09
0.6161241.6189914.905381e-09
0.6169891.618954.912266e-09
0.6178551.618914.919161e-09
0.6187221.618874.926066e-09
0.6195911.6188314.932980e-09
0.620461.6187914.939904e-09
0.6213311.6187514.946837e-09
0.6222031.6187124.953781e-09
0.6230761.6186724.960734e-09
0.6239511.6186334.967697e-09
0.6248271.6185944.974669e-09
0.6257041.6185544.981652e-09
0.6265821.6185154.988644e-09
0.6274611.6184764.995646e-09
0.6283421.6184375.002658e-09
0.6292241.6183995.009679e-09
0.6301071.618365.016711e-09
0.6309911.6183215.023752e-09
0.6318771.6182835.030803e-09
0.6327641.6182455.037865e-09
0.6336521.6182065.044936e-09
0.6345411.6181685.052017e-09
0.6354321.618135.059108e-09
0.6363241.6180925.066208e-09
0.6372171.6180545.073319e-09
0.6381111.6180165.080440e-09
0.6390071.6179785.087571e-09
0.6399041.6179415.094712e-09
0.6408021.6179035.101863e-09
0.6417011.6178665.109024e-09
0.6426021.6178285.116194e-09
0.6435041.6177915.123375e-09
0.6444071.6177545.130567e-09
0.6453111.6177175.137768e-09
0.6462171.6176795.144979e-09
0.6471241.6176435.152200e-09
0.6480321.6176065.159432e-09
0.6489421.6175695.166674e-09
0.6498521.6175325.173926e-09
0.651.6175265.175100e-09
0.6507651.6174965.181188e-09
0.6516781.6174595.188460e-09
0.6525931.6174235.195742e-09
0.6535091.6173865.203035e-09
0.6544261.617355.210338e-09
0.6553441.6173145.217651e-09
0.6562641.6172785.224974e-09
0.6571851.6172425.232308e-09
0.6581081.6172065.239652e-09
0.6590311.617175.247006e-09
0.6599561.6171345.254371e-09
0.6608821.6170995.261746e-09
0.661811.6170635.269131e-09
0.6627391.6170285.276527e-09
0.6636691.6169925.283933e-09
0.6646011.6169575.291349e-09
0.6655331.6169215.298776e-09
0.6664671.6168865.306213e-09
0.6674031.6168515.313661e-09
0.668341.6168165.321119e-09
0.6692781.6167815.328588e-09
0.6702171.6167465.336067e-09
0.6711581.6167125.343557e-09
0.67211.6166775.351057e-09
0.6730431.6166425.358567e-09
0.6739881.6166085.366089e-09
0.6749331.6165735.373620e-09
0.6758811.6165395.381163e-09
0.6768291.6165055.388716e-09
0.6777791.616475.396279e-09
0.6787311.6164365.403853e-09
0.6796831.6164025.411438e-09
0.6806371.6163685.419033e-09
0.6815921.6163345.426639e-09
0.6825491.61635.434256e-09
0.6835071.6162665.441884e-09
0.6844661.6162335.449522e-09
0.6854271.6161995.457171e-09
0.6863891.6161665.464830e-09
0.6873521.6161325.472500e-09
0.6883171.6160995.480182e-09
0.6892831.6160655.487873e-09
0.6902511.6160325.495576e-09
0.6912191.6159995.503290e-09
0.692191.6159665.511014e-09
0.6931611.6159335.518749e-09
0.6941341.61595.526495e-09
0.6951081.6158675.534252e-09
0.6960841.6158345.542020e-09
0.6970611.6158015.549798e-09
0.6980391.6157695.557588e-09
0.6990191.6157365.565389e-09
0.71.6157035.573200e-09

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
—