Optical constants

Refractive index of E-SF8 (HIKARI)

E-SF8: 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
1.68893
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.85247
Permittivity ε2
1.58026e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
31.071
Chromatic dispersion dn/dλ
-0.111682 µm⁻¹
Group index ng
1.75455
Group velocity dispersion
223.515 fs²/mm
Dispersion parameter D
-1219.39 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-SF8 (HIKARI): E-SF8
hikari_e_sf8 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-SF8", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_sf8.range_nm)  # (400, 700) nm
eps = hikari_e_sf8.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=2.76155381−0.0116348386⁢λ2.0+0.0286355735⁢λ−2.0+0.00155293137⁢λ−4.0−7.94510589×10-5⁢λ−6.0+1.28609539×10-5⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.76155381
C2-0.0116348386
C32.0
C40.0286355735
C5-2.0
C60.00155293137
C7-4.0
C8-7.94510589e-05
C9-6.0
C101.28609539e-05
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.688931
Vd
31.070978
glass code
689311
glass status
preferred
density
value: 2930
thermal expansion
value: 9.1e-06, temperature range: 243 343
dPgF
0.0079

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-SF8 (HIKARI), E-SF8: n and k versus wavelength
λ (µm)nk
0.41.7319222.827600e-07
0.4005611.7316612.762407e-07
0.4011241.7314022.697123e-07
0.4016871.7311442.631747e-07
0.402251.7308872.566279e-07
0.4028151.7306312.500720e-07
0.403381.7303772.435068e-07
0.4039461.7301232.369324e-07
0.4045131.7298712.303488e-07
0.4050811.729622.237560e-07
0.405651.7293712.171539e-07
0.4062191.7291222.105425e-07
0.4067891.7288742.039219e-07
0.407361.7286281.972919e-07
0.4079321.7283831.906527e-07
0.4085041.7281391.840041e-07
0.4090781.7278961.773462e-07
0.4096521.7276541.706790e-07
0.4102271.7274131.640024e-07
0.4108031.7271731.573164e-07
0.4113791.7269351.506211e-07
0.4119571.7266971.439163e-07
0.4125351.726461.372022e-07
0.4131141.7262251.304786e-07
0.4136941.7259911.237456e-07
0.4142741.7257571.170031e-07
0.4148561.7255251.102512e-07
0.4154381.7252941.034898e-07
0.4160211.7250649.671890e-08
0.4166051.7248348.993851e-08
0.417191.7246068.314859e-08
0.4177751.7243797.634915e-08
0.4183621.7241536.954016e-08
0.4189491.7239286.272161e-08
0.4195371.7237045.589350e-08
0.421.7235285.051400e-08
0.4201261.7234815.021883e-08
0.4207151.7232584.883282e-08
0.4213061.7230374.744486e-08
0.4218971.7228174.605495e-08
0.4224891.7225984.466309e-08
0.4230821.7223794.326927e-08
0.4236761.7221624.187350e-08
0.4242711.7219454.047577e-08
0.4248661.721733.907608e-08
0.4254621.7215153.767442e-08
0.426061.7213023.627080e-08
0.4266581.7210893.486521e-08
0.4272561.7208773.345764e-08
0.4278561.7206663.204810e-08
0.4284571.7204563.063658e-08
0.4290581.7202472.922308e-08
0.429661.7200392.780760e-08
0.4302631.7198322.639012e-08
0.4308671.7196252.497066e-08
0.4314721.7194192.354921e-08
0.4320771.7192152.212576e-08
0.4326841.7190112.070032e-08
0.4332911.7188081.927287e-08
0.4338991.7186061.784342e-08
0.4345081.7184051.641196e-08
0.4351181.7182041.497850e-08
0.4357291.7180051.354302e-08
0.436341.7178061.210553e-08
0.4369531.7176081.066602e-08
0.4375661.7174119.224487e-09
0.438181.7172157.780934e-09
0.4387951.7170196.335355e-09
0.4394111.7168244.887746e-09
0.441.7166393.503200e-09
0.4400281.7166313.503420e-09
0.4406451.7164383.508336e-09
0.4412641.7162453.513259e-09
0.4418831.7160543.518189e-09
0.4425031.7158633.523126e-09
0.4431241.7156733.528070e-09
0.4437461.7154843.533020e-09
0.4443691.7152963.537978e-09
0.4449931.7151083.542942e-09
0.4456171.7149223.547914e-09
0.4462431.7147363.552892e-09
0.4468691.714553.557878e-09
0.4474961.7143663.562870e-09
0.4481241.7141823.567870e-09
0.4487531.7139993.572876e-09
0.4493831.7138173.577890e-09
0.4500141.7136353.582910e-09
0.4506451.7134543.587938e-09
0.4512781.7132743.592973e-09
0.4519111.7130953.598014e-09
0.4525461.7129163.603063e-09
0.4531811.7127383.608119e-09
0.4538171.7125613.613182e-09
0.4544541.7123843.618252e-09
0.4550921.7122093.623329e-09
0.455731.7120343.628414e-09
0.456371.7118593.633505e-09
0.4570111.7116853.638604e-09
0.4576521.7115123.643709e-09
0.4582941.711343.648822e-09
0.4589381.7111683.653943e-09
0.4595821.7109973.659070e-09
0.461.7108873.662400e-09
0.4602271.7108273.664204e-09
0.4608731.7106573.669346e-09
0.4615191.7104883.674495e-09
0.4621671.710323.679651e-09
0.4628161.7101523.684814e-09
0.4634651.7099853.689985e-09
0.4641161.7098193.695163e-09
0.4647671.7096533.700348e-09
0.465421.7094883.705541e-09
0.4660731.7093243.710740e-09
0.4667271.709163.715947e-09
0.4673821.7089973.721162e-09
0.4680381.7088343.726383e-09
0.4686951.7086723.731612e-09
0.4693531.7085113.736848e-09
0.4700121.708353.742092e-09
0.4706711.708193.747343e-09
0.4713321.7080313.752602e-09
0.4719931.7078723.757867e-09
0.4726561.7077143.763140e-09
0.4733191.7075563.768421e-09
0.4739841.7073993.773709e-09
0.4746491.7072433.779004e-09
0.4753151.7070873.784307e-09
0.4759821.7069313.789617e-09
0.476651.7067773.794935e-09
0.4773191.7066233.800260e-09
0.4779891.7064693.805593e-09
0.478661.7063163.810933e-09
0.4793321.7061643.816281e-09
0.481.7060133.821600e-09
0.4800051.7060123.821636e-09
0.4806781.7058613.827002e-09
0.4813531.7057113.832376e-09
0.4820281.705563.837757e-09
0.4827051.7054113.843145e-09
0.4833821.7052623.848541e-09
0.4840611.7051143.853945e-09
0.484741.7049663.859357e-09
0.4854211.7048193.864776e-09
0.4861021.7046723.870202e-09
0.4867841.7045263.875636e-09
0.4874671.704383.881078e-09
0.4881521.7042353.886528e-09
0.4888371.704093.891985e-09
0.4895231.7039463.897450e-09
0.490211.7038033.902922e-09
0.4908981.703663.908402e-09
0.4915871.7035173.913890e-09
0.4922771.7033763.919385e-09
0.4929681.7032343.924889e-09
0.493661.7030933.930400e-09
0.4943531.7029533.935918e-09
0.4950461.7028133.941445e-09
0.4957411.7026743.946979e-09
0.4964371.7025353.952521e-09
0.4971341.7023973.958071e-09
0.4978321.7022593.963628e-09
0.498531.7021213.969193e-09
0.499231.7019853.974766e-09
0.4999311.7018483.980347e-09
0.51.7018353.980900e-09
0.5006321.7017123.985934e-09
0.5013351.7015773.991529e-09
0.5020391.7014423.997131e-09
0.5027431.7013084.002741e-09
0.5034491.7011744.008360e-09
0.5041551.7010414.013986e-09
0.5048631.7009084.019619e-09
0.5055721.7007754.025261e-09
0.5062811.7006434.030911e-09
0.5069921.7005124.036569e-09
0.5077031.7003814.042234e-09
0.5084161.700254.047908e-09
0.509131.700124.053589e-09
0.5098441.699994.059279e-09
0.510561.6998614.064976e-09
0.5112761.6997334.070682e-09
0.5119941.6996044.076395e-09
0.5127121.6994764.082117e-09
0.5134321.6993494.087846e-09
0.5141531.6992224.093584e-09
0.5148741.6990964.099329e-09
0.5155971.698974.105083e-09
0.5163211.6988444.110845e-09
0.5170451.6987194.116614e-09
0.5177711.6985944.122392e-09
0.5184981.698474.128178e-09
0.5192251.6983464.133973e-09
0.5199541.6982234.139775e-09
0.5206841.69814.145585e-09
0.5214151.6979774.151404e-09
0.5221471.6978554.157231e-09
0.5228791.6977344.163066e-09
0.5236131.6976124.168909e-09
0.5243481.6974924.174760e-09
0.5250841.6973714.180620e-09
0.5258211.6972514.186487e-09
0.5265591.6971324.192363e-09
0.5272981.6970134.198248e-09
0.5280381.6968944.204140e-09
0.5287791.6967754.210041e-09
0.5295211.6966584.215950e-09
0.5302651.696544.221867e-09
0.5310091.6964234.227793e-09
0.5317541.6963064.233727e-09
0.5325011.696194.239669e-09
0.5332481.6960744.245620e-09
0.5339961.6959594.251579e-09
0.5347461.6958434.257546e-09
0.5354961.6957294.263522e-09
0.5362481.6956144.269506e-09
0.5370011.69554.275499e-09
0.5377541.6953874.281500e-09
0.5385091.6952744.287509e-09
0.5392651.6951614.293527e-09
0.5400221.6950484.299553e-09
0.540781.6949364.305588e-09
0.5415391.6948254.311631e-09
0.5422991.6947144.317682e-09
0.543061.6946034.323743e-09
0.5438221.6944924.329811e-09
0.5445851.6943824.335888e-09
0.545351.6942724.341974e-09
0.5461151.6941634.348068e-09
0.5468821.6940544.354171e-09
0.5476491.6939454.360282e-09
0.5484181.6938374.366402e-09
0.5491871.6937294.372531e-09
0.5499581.6936214.378668e-09
0.551.6936164.379000e-09
0.550731.6935144.384812e-09
0.5515031.6934074.390965e-09
0.5522771.6933014.397126e-09
0.5530521.6931954.403297e-09
0.5538291.6930894.409475e-09
0.5546061.6929834.415663e-09
0.5553841.6928784.421859e-09
0.5561641.6927744.428064e-09
0.5569441.6926694.434277e-09
0.5577261.6925654.440499e-09
0.5585091.6924614.446730e-09
0.5592931.6923584.452970e-09
0.5600781.6922554.459219e-09
0.5608641.6921524.465476e-09
0.5616511.692054.471742e-09
0.5624391.6919484.478017e-09
0.5632291.6918464.484300e-09
0.5640191.6917454.490593e-09
0.5648111.6916444.496894e-09
0.5656041.6915434.503204e-09
0.5663971.6914434.509523e-09
0.5671921.6913434.515851e-09
0.5679881.6912434.522188e-09
0.5687861.6911444.528533e-09
0.5695841.6910454.534888e-09
0.5703831.6909464.541251e-09
0.5711841.6908484.547624e-09
0.5719861.690754.554005e-09
0.5727881.6906524.560395e-09
0.5735921.6905554.566795e-09
0.5743971.6904574.573203e-09
0.5752041.6903614.579620e-09
0.5760111.6902644.586046e-09
0.5768191.6901684.592481e-09
0.5776291.6900724.598926e-09
0.578441.6899774.605379e-09
0.5792511.6898814.611841e-09
0.5800641.6897864.618313e-09
0.5808791.6896924.624793e-09
0.5816941.6895974.631283e-09
0.582511.6895034.637782e-09
0.5833281.689414.644290e-09
0.5841471.6893164.650807e-09
0.5849661.6892234.657333e-09
0.5857871.689134.663868e-09
0.586611.6890384.670413e-09
0.5874331.6889454.676966e-09
0.5882571.6888534.683529e-09
0.5890831.6887624.690101e-09
0.589911.688674.696682e-09
0.5907381.6885794.703273e-09
0.5915671.6884894.709873e-09
0.5923971.6883984.716482e-09
0.5932291.6883084.723100e-09
0.5940611.6882184.729728e-09
0.5948951.6881284.736365e-09
0.595731.6880394.743011e-09
0.5965661.687954.749666e-09
0.5974031.6878614.756331e-09
0.5982421.6877724.763006e-09
0.5990821.6876844.769689e-09
0.5999221.6875964.776382e-09
0.61.6875884.777000e-09
0.6007641.6875094.783086e-09
0.6016081.6874214.789800e-09
0.6024521.6873344.796523e-09
0.6032981.6872474.803255e-09
0.6041441.6871614.809997e-09
0.6049921.6870744.816748e-09
0.6058411.6869884.823509e-09
0.6066921.6869024.830279e-09
0.6075431.6868174.837059e-09
0.6083961.6867324.843848e-09
0.609251.6866474.850647e-09
0.6101051.6865624.857455e-09
0.6109611.6864774.864273e-09
0.6118191.6863934.871100e-09
0.6126771.6863094.877937e-09
0.6135371.6862254.884784e-09
0.6143981.6861424.891640e-09
0.6152611.6860594.898506e-09
0.6161241.6859764.905381e-09
0.6169891.6858934.912266e-09
0.6178551.6858114.919161e-09
0.6187221.6857294.926066e-09
0.6195911.6856474.932980e-09
0.620461.6855654.939904e-09
0.6213311.6854844.946837e-09
0.6222031.6854034.953781e-09
0.6230761.6853224.960734e-09
0.6239511.6852414.967697e-09
0.6248271.6851614.974669e-09
0.6257041.685084.981652e-09
0.6265821.6854.988644e-09
0.6274611.6849214.995646e-09
0.6283421.6848415.002658e-09
0.6292241.6847625.009679e-09
0.6301071.6846835.016711e-09
0.6309911.6846045.023752e-09
0.6318771.6845265.030803e-09
0.6327641.6844485.037865e-09
0.6336521.684375.044936e-09
0.6345411.6842925.052017e-09
0.6354321.6842145.059108e-09
0.6363241.6841375.066208e-09
0.6372171.684065.073319e-09
0.6381111.6839835.080440e-09
0.6390071.6839065.087571e-09
0.6399041.683835.094712e-09
0.6408021.6837545.101863e-09
0.6417011.6836785.109024e-09
0.6426021.6836025.116194e-09
0.6435041.6835275.123375e-09
0.6444071.6834525.130567e-09
0.6453111.6833765.137768e-09
0.6462171.6833025.144979e-09
0.6471241.6832275.152200e-09
0.6480321.6831535.159432e-09
0.6489421.6830795.166674e-09
0.6498521.6830055.173926e-09
0.651.6829935.175100e-09
0.6507651.6829315.181188e-09
0.6516781.6828575.188460e-09
0.6525931.6827845.195742e-09
0.6535091.6827115.203035e-09
0.6544261.6826385.210338e-09
0.6553441.6825665.217651e-09
0.6562641.6824935.224974e-09
0.6571851.6824215.232308e-09
0.6581081.6823495.239652e-09
0.6590311.6822775.247006e-09
0.6599561.6822065.254371e-09
0.6608821.6821345.261746e-09
0.661811.6820635.269131e-09
0.6627391.6819925.276527e-09
0.6636691.6819215.283933e-09
0.6646011.6818515.291349e-09
0.6655331.681785.298776e-09
0.6664671.681715.306213e-09
0.6674031.681645.313661e-09
0.668341.6815715.321119e-09
0.6692781.6815015.328588e-09
0.6702171.6814325.336067e-09
0.6711581.6813635.343557e-09
0.67211.6812945.351057e-09
0.6730431.6812255.358567e-09
0.6739881.6811565.366089e-09
0.6749331.6810885.373620e-09
0.6758811.681025.381163e-09
0.6768291.6809525.388716e-09
0.6777791.6808845.396279e-09
0.6787311.6808175.403853e-09
0.6796831.6807495.411438e-09
0.6806371.6806825.419033e-09
0.6815921.6806155.426639e-09
0.6825491.6805485.434256e-09
0.6835071.6804825.441884e-09
0.6844661.6804155.449522e-09
0.6854271.6803495.457171e-09
0.6863891.6802835.464830e-09
0.6873521.6802175.472500e-09
0.6883171.6801515.480182e-09
0.6892831.6800865.487873e-09
0.6902511.6800215.495576e-09
0.6912191.6799555.503290e-09
0.692191.679895.511014e-09
0.6931611.6798265.518749e-09
0.6941341.6797615.526495e-09
0.6951081.6796975.534252e-09
0.6960841.6796325.542020e-09
0.6970611.6795685.549798e-09
0.6980391.6795055.557588e-09
0.6990191.6794415.565389e-09
0.71.6793775.573200e-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
—