Optical constants

Refractive index of E-SF5 (HIKARI)

E-SF5: 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
1.6727
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.79791
Permittivity ε2
1.56507e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
32.108
Chromatic dispersion dn/dλ
-0.105583 µm⁻¹
Group index ng
1.73474
Group velocity dispersion
210.316 fs²/mm
Dispersion parameter D
-1147.39 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-SF5 (HIKARI): E-SF5
hikari_e_sf5 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-SF5", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_sf5.range_nm)  # (400, 700) nm
eps = hikari_e_sf5.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=2.71201742−0.0111228641⁢λ2.0+0.0276913413⁢λ−2.0+0.00113193687⁢λ−4.0−2.4225064×10-5⁢λ−6.0+8.91515336×10-6⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.71201742
C2-0.0111228641
C32.0
C40.0276913413
C5-2.0
C60.00113193687
C7-4.0
C8-2.4225064e-05
C9-6.0
C108.91515336e-06
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.672700
Vd
32.107703
glass code
673321
glass status
preferred
density
value: 2890
thermal expansion
value: 9e-06, temperature range: 243 343
dPgF
0.0085

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-SF5 (HIKARI), E-SF5: n and k versus wavelength
λ (µm)nk
0.41.7132473.002000e-07
0.4005611.7130022.939563e-07
0.4011241.7127582.877038e-07
0.4016871.7125152.814425e-07
0.402251.7122732.751724e-07
0.4028151.7120332.688935e-07
0.403381.7117942.626058e-07
0.4039461.7115552.563093e-07
0.4045131.7113182.500040e-07
0.4050811.7110822.436898e-07
0.405651.7108472.373667e-07
0.4062191.7106132.310348e-07
0.4067891.710382.246940e-07
0.407361.7101482.183443e-07
0.4079321.7099172.119856e-07
0.4085041.7096882.056181e-07
0.4090781.7094591.992416e-07
0.4096521.7092311.928562e-07
0.4102271.7090051.864618e-07
0.4108031.7087791.800584e-07
0.4113791.7085541.736460e-07
0.4119571.7083311.672246e-07
0.4125351.7081081.607943e-07
0.4131141.7078861.543549e-07
0.4136941.7076661.479064e-07
0.4142741.7074461.414489e-07
0.4148561.7072271.349824e-07
0.4154381.707011.285067e-07
0.4160211.7067931.220220e-07
0.4166051.7065771.155282e-07
0.417191.7063621.090253e-07
0.4177751.7061481.025132e-07
0.4183621.7059359.599201e-08
0.4189491.7057238.946165e-08
0.4195371.7055128.292213e-08
0.421.7053467.777000e-08
0.4201261.7053027.745829e-08
0.4207151.7050927.599458e-08
0.4213061.7048847.452881e-08
0.4218971.7046777.306099e-08
0.4224891.704477.159111e-08
0.4230821.7042647.011917e-08
0.4236761.7040596.864516e-08
0.4242711.7038556.716908e-08
0.4248661.7036526.569092e-08
0.4254621.703456.421070e-08
0.426061.7032496.272840e-08
0.4266581.7030486.124401e-08
0.4272561.7028495.975754e-08
0.4278561.702655.826899e-08
0.4284571.7024525.677835e-08
0.4290581.7022555.528561e-08
0.429661.7020595.379078e-08
0.4302631.7018635.229386e-08
0.4308671.7016695.079483e-08
0.4314721.7014754.929369e-08
0.4320771.7012824.779045e-08
0.4326841.701094.628510e-08
0.4332911.7008994.477764e-08
0.4338991.7007084.326806e-08
0.4345081.7005194.175637e-08
0.4351181.700334.024255e-08
0.4357291.7001413.872660e-08
0.436341.6999543.720853e-08
0.4369531.6997673.568833e-08
0.4375661.6995823.416600e-08
0.438181.6993973.264152e-08
0.4387951.6992123.111491e-08
0.4394111.6990292.958616e-08
0.441.6988542.812400e-08
0.4400281.6988462.809521e-08
0.4406451.6986642.745305e-08
0.4412641.6984832.680999e-08
0.4418831.6983022.616603e-08
0.4425031.6981222.552117e-08
0.4431241.6979432.487540e-08
0.4437461.6977652.422872e-08
0.4443691.6975882.358114e-08
0.4449931.6974112.293264e-08
0.4456171.6972352.228324e-08
0.4462431.6970592.163293e-08
0.4468691.6968842.098170e-08
0.4474961.696712.032956e-08
0.4481241.6965371.967650e-08
0.4487531.6963641.902253e-08
0.4493831.6961931.836764e-08
0.4500141.6960211.771183e-08
0.4506451.6958511.705510e-08
0.4512781.6956811.639745e-08
0.4519111.6955121.573887e-08
0.4525461.6953431.507938e-08
0.4531811.6951751.441895e-08
0.4538171.6950081.375760e-08
0.4544541.6948421.309532e-08
0.4550921.6946761.243211e-08
0.455731.6945111.176797e-08
0.456371.6943461.110290e-08
0.4570111.6941821.043689e-08
0.4576521.6940199.769950e-09
0.4582941.6938569.102073e-09
0.4589381.6936948.433259e-09
0.4595821.6935337.763506e-09
0.461.6934297.328500e-09
0.4602271.6933727.288754e-09
0.4608731.6932127.175492e-09
0.4615191.6930537.062070e-09
0.4621671.6928946.948489e-09
0.4628161.6927366.834749e-09
0.4634651.6925786.720849e-09
0.4641161.6924216.606789e-09
0.4647671.6922656.492570e-09
0.465421.6921096.378189e-09
0.4660731.6919546.263649e-09
0.4667271.69186.148947e-09
0.4673821.6916466.034085e-09
0.4680381.6914925.919061e-09
0.4686951.691345.803876e-09
0.4693531.6911875.688529e-09
0.4700121.6910365.573021e-09
0.4706711.6908855.457350e-09
0.4713321.6907345.341517e-09
0.4719931.6905845.225521e-09
0.4726561.6904355.109363e-09
0.4733191.6902864.993041e-09
0.4739841.6901384.876556e-09
0.4746491.6899914.759908e-09
0.4753151.6898444.643096e-09
0.4759821.6896974.526120e-09
0.476651.6895514.408980e-09
0.4773191.6894064.291676e-09
0.4779891.6892614.174206e-09
0.478661.6891174.056572e-09
0.4793321.6889733.938773e-09
0.481.6888313.821600e-09
0.4800051.688833.821636e-09
0.4806781.6886873.827002e-09
0.4813531.6885453.832376e-09
0.4820281.6884033.837757e-09
0.4827051.6882623.843145e-09
0.4833821.6881223.848541e-09
0.4840611.6879823.853945e-09
0.484741.6878423.859357e-09
0.4854211.6877033.864776e-09
0.4861021.6875653.870202e-09
0.4867841.6874273.875636e-09
0.4874671.6872893.881078e-09
0.4881521.6871533.886528e-09
0.4888371.6870163.891985e-09
0.4895231.686883.897450e-09
0.490211.6867453.902922e-09
0.4908981.686613.908402e-09
0.4915871.6864753.913890e-09
0.4922771.6863413.919385e-09
0.4929681.6862083.924889e-09
0.493661.6860753.930400e-09
0.4943531.6859433.935918e-09
0.4950461.6858113.941445e-09
0.4957411.6856793.946979e-09
0.4964371.6855483.952521e-09
0.4971341.6854173.958071e-09
0.4978321.6852873.963628e-09
0.498531.6851583.969193e-09
0.499231.6850293.974766e-09
0.4999311.68493.980347e-09
0.51.6848873.980900e-09
0.5006321.6847723.985934e-09
0.5013351.6846443.991529e-09
0.5020391.6845173.997131e-09
0.5027431.684394.002741e-09
0.5034491.6842634.008360e-09
0.5041551.6841384.013986e-09
0.5048631.6840124.019619e-09
0.5055721.6838874.025261e-09
0.5062811.6837624.030911e-09
0.5069921.6836384.036569e-09
0.5077031.6835154.042234e-09
0.5084161.6833914.047908e-09
0.509131.6832694.053589e-09
0.5098441.6831464.059279e-09
0.510561.6830244.064976e-09
0.5112761.6829034.070682e-09
0.5119941.6827824.076395e-09
0.5127121.6826614.082117e-09
0.5134321.6825414.087846e-09
0.5141531.6824214.093584e-09
0.5148741.6823024.099329e-09
0.5155971.6821834.105083e-09
0.5163211.6820644.110845e-09
0.5170451.6819464.116614e-09
0.5177711.6818284.122392e-09
0.5184981.6817114.128178e-09
0.5192251.6815944.133973e-09
0.5199541.6814784.139775e-09
0.5206841.6813624.145585e-09
0.5214151.6812464.151404e-09
0.5221471.6811314.157231e-09
0.5228791.6810164.163066e-09
0.5236131.6809014.168909e-09
0.5243481.6807874.174760e-09
0.5250841.6806734.180620e-09
0.5258211.680564.186487e-09
0.5265591.6804474.192363e-09
0.5272981.6803354.198248e-09
0.5280381.6802234.204140e-09
0.5287791.6801114.210041e-09
0.5295211.684.215950e-09
0.5302651.6798894.221867e-09
0.5310091.6797784.227793e-09
0.5317541.6796684.233727e-09
0.5325011.6795584.239669e-09
0.5332481.6794494.245620e-09
0.5339961.6793394.251579e-09
0.5347461.6792314.257546e-09
0.5354961.6791224.263522e-09
0.5362481.6790144.269506e-09
0.5370011.6789074.275499e-09
0.5377541.67884.281500e-09
0.5385091.6786934.287509e-09
0.5392651.6785864.293527e-09
0.5400221.678484.299553e-09
0.540781.6783744.305588e-09
0.5415391.6782694.311631e-09
0.5422991.6781644.317682e-09
0.543061.6780594.323743e-09
0.5438221.6779554.329811e-09
0.5445851.6778514.335888e-09
0.545351.6777474.341974e-09
0.5461151.6776444.348068e-09
0.5468821.6775414.354171e-09
0.5476491.6774384.360282e-09
0.5484181.6773364.366402e-09
0.5491871.6772344.372531e-09
0.5499581.6771324.378668e-09
0.551.6771274.379000e-09
0.550731.6770314.384812e-09
0.5515031.676934.390965e-09
0.5522771.6768294.397126e-09
0.5530521.6767294.403297e-09
0.5538291.6766294.409475e-09
0.5546061.676534.415663e-09
0.5553841.676434.421859e-09
0.5561641.6763314.428064e-09
0.5569441.6762334.434277e-09
0.5577261.6761344.440499e-09
0.5585091.6760364.446730e-09
0.5592931.6759394.452970e-09
0.5600781.6758414.459219e-09
0.5608641.6757444.465476e-09
0.5616511.6756484.471742e-09
0.5624391.6755514.478017e-09
0.5632291.6754554.484300e-09
0.5640191.675364.490593e-09
0.5648111.6752644.496894e-09
0.5656041.6751694.503204e-09
0.5663971.6750744.509523e-09
0.5671921.674984.515851e-09
0.5679881.6748864.522188e-09
0.5687861.6747924.528533e-09
0.5695841.6746984.534888e-09
0.5703831.6746054.541251e-09
0.5711841.6745124.547624e-09
0.5719861.6744194.554005e-09
0.5727881.6743274.560395e-09
0.5735921.6742354.566795e-09
0.5743971.6741434.573203e-09
0.5752041.6740514.579620e-09
0.5760111.673964.586046e-09
0.5768191.6738694.592481e-09
0.5776291.6737794.598926e-09
0.578441.6736884.605379e-09
0.5792511.6735984.611841e-09
0.5800641.6735094.618313e-09
0.5808791.6734194.624793e-09
0.5816941.673334.631283e-09
0.582511.6732414.637782e-09
0.5833281.6731524.644290e-09
0.5841471.6730644.650807e-09
0.5849661.6729764.657333e-09
0.5857871.6728884.663868e-09
0.586611.6728014.670413e-09
0.5874331.6727144.676966e-09
0.5882571.6726274.683529e-09
0.5890831.672544.690101e-09
0.589911.6724544.696682e-09
0.5907381.6723684.703273e-09
0.5915671.6722824.709873e-09
0.5923971.6721964.716482e-09
0.5932291.6721114.723100e-09
0.5940611.6720264.729728e-09
0.5948951.6719414.736365e-09
0.595731.6718574.743011e-09
0.5965661.6717724.749666e-09
0.5974031.6716884.756331e-09
0.5982421.6716054.763006e-09
0.5990821.6715214.769689e-09
0.5999221.6714384.776382e-09
0.61.671434.777000e-09
0.6007641.6713554.783086e-09
0.6016081.6712724.789800e-09
0.6024521.671194.796523e-09
0.6032981.6711084.803255e-09
0.6041441.6710264.809997e-09
0.6049921.6709444.816748e-09
0.6058411.6708634.823509e-09
0.6066921.6707824.830279e-09
0.6075431.6707014.837059e-09
0.6083961.670624.843848e-09
0.609251.670544.850647e-09
0.6101051.670464.857455e-09
0.6109611.670384.864273e-09
0.6118191.67034.871100e-09
0.6126771.6702214.877937e-09
0.6135371.6701414.884784e-09
0.6143981.6700624.891640e-09
0.6152611.6699844.898506e-09
0.6161241.6699054.905381e-09
0.6169891.6698274.912266e-09
0.6178551.6697494.919161e-09
0.6187221.6696714.926066e-09
0.6195911.6695944.932980e-09
0.620461.6695174.939904e-09
0.6213311.669444.946837e-09
0.6222031.6693634.953781e-09
0.6230761.6692864.960734e-09
0.6239511.669214.967697e-09
0.6248271.6691344.974669e-09
0.6257041.6690584.981652e-09
0.6265821.6689824.988644e-09
0.6274611.6689074.995646e-09
0.6283421.6688325.002658e-09
0.6292241.6687575.009679e-09
0.6301071.6686825.016711e-09
0.6309911.6686075.023752e-09
0.6318771.6685335.030803e-09
0.6327641.6684595.037865e-09
0.6336521.6683855.044936e-09
0.6345411.6683115.052017e-09
0.6354321.6682385.059108e-09
0.6363241.6681655.066208e-09
0.6372171.6680925.073319e-09
0.6381111.6680195.080440e-09
0.6390071.6679475.087571e-09
0.6399041.6678745.094712e-09
0.6408021.6678025.101863e-09
0.6417011.667735.109024e-09
0.6426021.6676585.116194e-09
0.6435041.6675875.123375e-09
0.6444071.6675165.130567e-09
0.6453111.6674455.137768e-09
0.6462171.6673745.144979e-09
0.6471241.6673035.152200e-09
0.6480321.6672335.159432e-09
0.6489421.6671625.166674e-09
0.6498521.6670925.173926e-09
0.651.6670815.175100e-09
0.6507651.6670235.266497e-09
0.6516781.6669535.375679e-09
0.6525931.6668845.485014e-09
0.6535091.6668145.594503e-09
0.6544261.6667455.704145e-09
0.6553441.6666765.813942e-09
0.6562641.6666085.923892e-09
0.6571851.6665396.033997e-09
0.6581081.6664716.144256e-09
0.6590311.6664036.254671e-09
0.6599561.6663356.365240e-09
0.6608821.6662686.475964e-09
0.661811.66626.586843e-09
0.6627391.6661336.697879e-09
0.6636691.6660666.809070e-09
0.6646011.6659996.920417e-09
0.6655331.6659327.031920e-09
0.6664671.6658667.143580e-09
0.6674031.66587.255397e-09
0.668341.6657347.367371e-09
0.6692781.6656687.479501e-09
0.6702171.6656027.591790e-09
0.6711581.6655367.704235e-09
0.67211.6654717.816839e-09
0.6730431.6654067.929601e-09
0.6739881.6653418.042520e-09
0.6749331.6652768.155599e-09
0.6758811.6652128.268836e-09
0.6768291.6651478.382232e-09
0.6777791.6650838.495787e-09
0.6787311.6650198.609502e-09
0.6796831.6649558.723376e-09
0.6806371.6648918.837410e-09
0.6815921.6648288.951604e-09
0.6825491.6647649.065958e-09
0.6835071.6647019.180473e-09
0.6844661.6646389.295148e-09
0.6854271.6645759.409985e-09
0.6863891.6645139.524982e-09
0.6873521.664459.640141e-09
0.6883171.6643889.755462e-09
0.6892831.6643269.870945e-09
0.6902511.6642649.986589e-09
0.6912191.6642021.010240e-08
0.692191.664141.021837e-08
0.6931611.6640791.033450e-08
0.6941341.6640181.045079e-08
0.6951081.6639571.056725e-08
0.6960841.6638961.068387e-08
0.6970611.6638351.080066e-08
0.6980391.6637741.091761e-08
0.6990191.6637141.103472e-08
0.71.6636541.115200e-08

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
—