Optical constants

Refractive index of E-SSK5 (HIKARI)

E-SSK5: 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
1.65844
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.75042
Permittivity ε2
1.55173e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
50.892
Chromatic dispersion dn/dλ
-0.0664108 µm⁻¹
Group index ng
1.69746
Group velocity dispersion
121.107 fs²/mm
Dispersion parameter D
-660.702 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-SSK5 (HIKARI): E-SSK5
hikari_e_ssk5 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-SSK5", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_ssk5.range_nm)  # (400, 700) nm
eps = hikari_e_ssk5.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=2.69603796−0.0100729839⁢λ2.0+0.0188657945⁢λ−2.0+0.00036803849⁢λ−4.0+4.06084448×10-6⁢λ−6.0+4.57460676×10-7⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.69603796
C2-0.0100729839
C32.0
C40.0188657945
C5-2.0
C60.00036803849
C7-4.0
C84.06084448e-06
C9-6.0
C104.57460676e-07
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.658441
Vd
50.892288
glass code
658509
glass status
preferred
density
value: 3820
thermal expansion
value: 8.2e-06, temperature range: 243 343
dPgF
-0.0027

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-SSK5 (HIKARI), E-SSK5: n and k versus wavelength
λ (µm)nk
0.41.6817869.039800e-08
0.4005611.6816588.899312e-08
0.4011241.681538.758627e-08
0.4016871.6814028.617745e-08
0.402251.6812758.476665e-08
0.4028151.6811498.335387e-08
0.403381.6810238.193910e-08
0.4039461.6808978.052235e-08
0.4045131.6807727.910362e-08
0.4050811.6806477.768289e-08
0.405651.6805237.626016e-08
0.4062191.6803997.483544e-08
0.4067891.6802767.340872e-08
0.407361.6801537.198000e-08
0.4079321.680037.054927e-08
0.4085041.6799086.911654e-08
0.4090781.6797866.768179e-08
0.4096521.6796646.624503e-08
0.4102271.6795436.480626e-08
0.4108031.6794236.336546e-08
0.4113791.6793036.192264e-08
0.4119571.6791836.047780e-08
0.4125351.6790645.903093e-08
0.4131141.6789455.758203e-08
0.4136941.6788265.613109e-08
0.4142741.6787085.467812e-08
0.4148561.678595.322311e-08
0.4154381.6784735.176605e-08
0.4160211.6783565.030696e-08
0.4166051.6782394.884581e-08
0.417191.6781234.738261e-08
0.4177751.6780084.591736e-08
0.4183621.6778924.445005e-08
0.4189491.6777774.298069e-08
0.4195371.6776634.150926e-08
0.421.6775734.035000e-08
0.4201261.6775484.027324e-08
0.4207151.6774343.991278e-08
0.4213061.6773213.955181e-08
0.4218971.6772083.919034e-08
0.4224891.6770953.882836e-08
0.4230821.6769833.846588e-08
0.4236761.6768713.810288e-08
0.4242711.6767593.773938e-08
0.4248661.6766483.737536e-08
0.4254621.6765373.701084e-08
0.426061.6764273.664580e-08
0.4266581.6763173.628025e-08
0.4272561.6762073.591419e-08
0.4278561.6760983.554761e-08
0.4284571.6759893.518052e-08
0.4290581.675883.481292e-08
0.429661.6757723.444479e-08
0.4302631.6756643.407615e-08
0.4308671.6755563.370700e-08
0.4314721.6754493.333732e-08
0.4320771.6753423.296713e-08
0.4326841.6752363.259642e-08
0.4332911.675133.222518e-08
0.4338991.6750243.185343e-08
0.4345081.6749183.148115e-08
0.4351181.6748133.110836e-08
0.4357291.6747083.073503e-08
0.436341.6746043.036119e-08
0.4369531.67452.998682e-08
0.4375661.6743962.961192e-08
0.438181.6742932.923650e-08
0.4387951.674192.886055e-08
0.4394111.6740872.848408e-08
0.441.6739892.812400e-08
0.4400281.6739852.811046e-08
0.4406451.6738832.780862e-08
0.4412641.6737812.750635e-08
0.4418831.6736792.720365e-08
0.4425031.6735782.690053e-08
0.4431241.6734782.659698e-08
0.4437461.6733772.629301e-08
0.4443691.6732772.598861e-08
0.4449931.6731772.568378e-08
0.4456171.6730782.537853e-08
0.4462431.6729792.507285e-08
0.4468691.672882.476674e-08
0.4474961.6727822.446020e-08
0.4481241.6726842.415322e-08
0.4487531.6725862.384582e-08
0.4493831.6724882.353799e-08
0.4500141.6723912.322972e-08
0.4506451.6722942.292102e-08
0.4512781.6721982.261189e-08
0.4519111.6721012.230233e-08
0.4525461.6720052.199233e-08
0.4531811.671912.168189e-08
0.4538171.6718142.137102e-08
0.4544541.6717192.105971e-08
0.4550921.6716252.074797e-08
0.455731.671532.043579e-08
0.456371.6714362.012317e-08
0.4570111.6713421.981011e-08
0.4576521.6712491.949661e-08
0.4582941.6711561.918267e-08
0.4589381.6710631.886830e-08
0.4595821.670971.855348e-08
0.461.670911.834900e-08
0.4602271.6708781.822771e-08
0.4608731.6707861.788207e-08
0.4615191.6706941.753594e-08
0.4621671.6706031.718933e-08
0.4628161.6705111.684224e-08
0.4634651.6704211.649465e-08
0.4641161.670331.614658e-08
0.4647671.670241.579802e-08
0.465421.670151.544897e-08
0.4660731.670061.509943e-08
0.4667271.6699711.474939e-08
0.4673821.6698821.439887e-08
0.4680381.6697931.404786e-08
0.4686951.6697041.369635e-08
0.4693531.6696161.334435e-08
0.4700121.6695281.299186e-08
0.4706711.669441.263887e-08
0.4713321.6693531.228538e-08
0.4719931.6692651.193140e-08
0.4726561.6691781.157693e-08
0.4733191.6690921.122195e-08
0.4739841.6690051.086648e-08
0.4746491.6689191.051051e-08
0.4753151.6688341.015403e-08
0.4759821.6687489.797063e-09
0.476651.6686639.439590e-09
0.4773191.6685789.081615e-09
0.4779891.6684938.723138e-09
0.478661.6684088.364158e-09
0.4793321.6683248.004674e-09
0.481.6682417.647100e-09
0.4800051.668247.646273e-09
0.4806781.6681577.522777e-09
0.4813531.6680737.399107e-09
0.4820281.667997.275264e-09
0.4827051.6679077.151248e-09
0.4833821.6678247.027057e-09
0.4840611.6677426.902692e-09
0.484741.667666.778152e-09
0.4854211.6675786.653437e-09
0.4861021.6674966.528548e-09
0.4867841.6674156.403483e-09
0.4874671.6673346.278243e-09
0.4881521.6672536.152826e-09
0.4888371.6671726.027234e-09
0.4895231.6670925.901466e-09
0.490211.6670125.775521e-09
0.4908981.6669325.649399e-09
0.4915871.6668525.523100e-09
0.4922771.6667735.396624e-09
0.4929681.6666945.269971e-09
0.493661.6666155.143140e-09
0.4943531.6665365.016130e-09
0.4950461.6664584.888943e-09
0.4957411.6663794.761577e-09
0.4964371.6663014.634032e-09
0.4971341.6662244.506308e-09
0.4978321.6661464.378405e-09
0.498531.6660694.250322e-09
0.499231.6659924.122060e-09
0.4999311.6659153.993617e-09
0.51.6659083.980900e-09
0.5006321.6658393.985934e-09
0.5013351.6657623.991529e-09
0.5020391.6656863.997131e-09
0.5027431.6656114.002741e-09
0.5034491.6655354.008360e-09
0.5041551.665464.013986e-09
0.5048631.6653844.019619e-09
0.5055721.665314.025261e-09
0.5062811.6652354.030911e-09
0.5069921.665164.036569e-09
0.5077031.6650864.042234e-09
0.5084161.6650124.047908e-09
0.509131.6649384.053589e-09
0.5098441.6648654.059279e-09
0.510561.6647924.064976e-09
0.5112761.6647184.070682e-09
0.5119941.6646464.076395e-09
0.5127121.6645734.082117e-09
0.5134321.66454.087846e-09
0.5141531.6644284.093584e-09
0.5148741.6643564.099329e-09
0.5155971.6642844.105083e-09
0.5163211.6642134.110845e-09
0.5170451.6641414.116614e-09
0.5177711.664074.122392e-09
0.5184981.6639994.128178e-09
0.5192251.6639294.133973e-09
0.5199541.6638584.139775e-09
0.5206841.6637884.145585e-09
0.5214151.6637184.151404e-09
0.5221471.6636484.157231e-09
0.5228791.6635784.163066e-09
0.5236131.6635094.168909e-09
0.5243481.6634394.174760e-09
0.5250841.663374.180620e-09
0.5258211.6633014.186487e-09
0.5265591.6632334.192363e-09
0.5272981.6631644.198248e-09
0.5280381.6630964.204140e-09
0.5287791.6630284.210041e-09
0.5295211.662964.215950e-09
0.5302651.6628924.221867e-09
0.5310091.6628254.227793e-09
0.5317541.6627584.233727e-09
0.5325011.6626914.239669e-09
0.5332481.6626244.245620e-09
0.5339961.6625574.251579e-09
0.5347461.6624914.257546e-09
0.5354961.6624254.263522e-09
0.5362481.6623594.269506e-09
0.5370011.6622934.275499e-09
0.5377541.6622274.281500e-09
0.5385091.6621614.287509e-09
0.5392651.6620964.293527e-09
0.5400221.6620314.299553e-09
0.540781.6619664.305588e-09
0.5415391.6619014.311631e-09
0.5422991.6618374.317682e-09
0.543061.6617734.323743e-09
0.5438221.6617084.329811e-09
0.5445851.6616444.335888e-09
0.545351.6615814.341974e-09
0.5461151.6615174.348068e-09
0.5468821.6614544.354171e-09
0.5476491.661394.360282e-09
0.5484181.6613274.366402e-09
0.5491871.6612654.372531e-09
0.5499581.6612024.378668e-09
0.551.6611994.379000e-09
0.550731.6611394.384812e-09
0.5515031.6610774.390965e-09
0.5522771.6610154.397126e-09
0.5530521.6609534.403297e-09
0.5538291.6608914.409475e-09
0.5546061.660834.415663e-09
0.5553841.6607684.421859e-09
0.5561641.6607074.428064e-09
0.5569441.6606464.434277e-09
0.5577261.6605854.440499e-09
0.5585091.6605244.446730e-09
0.5592931.6604644.452970e-09
0.5600781.6604034.459219e-09
0.5608641.6603434.465476e-09
0.5616511.6602834.471742e-09
0.5624391.6602234.478017e-09
0.5632291.6601644.484300e-09
0.5640191.6601044.490593e-09
0.5648111.6600454.496894e-09
0.5656041.6599864.503204e-09
0.5663971.6599274.509523e-09
0.5671921.6598684.515851e-09
0.5679881.6598094.522188e-09
0.5687861.6597514.528533e-09
0.5695841.6596924.534888e-09
0.5703831.6596344.541251e-09
0.5711841.6595764.547624e-09
0.5719861.6595184.554005e-09
0.5727881.6594614.560395e-09
0.5735921.6594034.566795e-09
0.5743971.6593464.573203e-09
0.5752041.6592884.579620e-09
0.5760111.6592314.586046e-09
0.5768191.6591754.592481e-09
0.5776291.6591184.598926e-09
0.578441.6590614.605379e-09
0.5792511.6590054.611841e-09
0.5800641.6589494.618313e-09
0.5808791.6588934.624793e-09
0.5816941.6588374.631283e-09
0.582511.6587814.637782e-09
0.5833281.6587254.644290e-09
0.5841471.658674.650807e-09
0.5849661.6586154.657333e-09
0.5857871.6585594.663868e-09
0.586611.6585044.670413e-09
0.5874331.658454.676966e-09
0.5882571.6583954.683529e-09
0.5890831.658344.690101e-09
0.589911.6582864.696682e-09
0.5907381.6582324.703273e-09
0.5915671.6581784.709873e-09
0.5923971.6581244.716482e-09
0.5932291.658074.723100e-09
0.5940611.6580164.729728e-09
0.5948951.6579634.736365e-09
0.595731.6579094.743011e-09
0.5965661.6578564.749666e-09
0.5974031.6578034.756331e-09
0.5982421.657754.763006e-09
0.5990821.6576984.769689e-09
0.5999221.6576454.776382e-09
0.61.657644.777000e-09
0.6007641.6575924.783086e-09
0.6016081.657544.789800e-09
0.6024521.6574884.796523e-09
0.6032981.6574364.803255e-09
0.6041441.6573844.809997e-09
0.6049921.6573324.816748e-09
0.6058411.6572814.823509e-09
0.6066921.6572294.830279e-09
0.6075431.6571784.837059e-09
0.6083961.6571274.843848e-09
0.609251.6570764.850647e-09
0.6101051.6570254.857455e-09
0.6109611.6569744.864273e-09
0.6118191.6569234.871100e-09
0.6126771.6568734.877937e-09
0.6135371.6568224.884784e-09
0.6143981.6567724.891640e-09
0.6152611.6567224.898506e-09
0.6161241.6566724.905381e-09
0.6169891.6566224.912266e-09
0.6178551.6565734.919161e-09
0.6187221.6565234.926066e-09
0.6195911.6564744.932980e-09
0.620461.6564244.939904e-09
0.6213311.6563754.946837e-09
0.6222031.6563264.953781e-09
0.6230761.6562774.960734e-09
0.6239511.6562284.967697e-09
0.6248271.656184.974669e-09
0.6257041.6561314.981652e-09
0.6265821.6560834.988644e-09
0.6274611.6560354.995646e-09
0.6283421.6559865.002658e-09
0.6292241.6559385.009679e-09
0.6301071.6558915.016711e-09
0.6309911.6558435.023752e-09
0.6318771.6557955.030803e-09
0.6327641.6557485.037865e-09
0.6336521.65575.044936e-09
0.6345411.6556535.052017e-09
0.6354321.6556065.059108e-09
0.6363241.6555595.066208e-09
0.6372171.6555125.073319e-09
0.6381111.6554655.080440e-09
0.6390071.6554195.087571e-09
0.6399041.6553725.094712e-09
0.6408021.6553265.101863e-09
0.6417011.6552795.109024e-09
0.6426021.6552335.116194e-09
0.6435041.6551875.123375e-09
0.6444071.6551415.130567e-09
0.6453111.6550955.137768e-09
0.6462171.655055.144979e-09
0.6471241.6550045.152200e-09
0.6480321.6549595.159432e-09
0.6489421.6549135.166674e-09
0.6498521.6548685.173926e-09
0.651.6548615.175100e-09
0.6507651.6548235.181188e-09
0.6516781.6547785.188460e-09
0.6525931.6547335.195742e-09
0.6535091.6546895.203035e-09
0.6544261.6546445.210338e-09
0.6553441.6545995.217651e-09
0.6562641.6545555.224974e-09
0.6571851.6545115.232308e-09
0.6581081.6544675.239652e-09
0.6590311.6544235.247006e-09
0.6599561.6543795.254371e-09
0.6608821.6543355.261746e-09
0.661811.6542915.269131e-09
0.6627391.6542475.276527e-09
0.6636691.6542045.283933e-09
0.6646011.654165.291349e-09
0.6655331.6541175.298776e-09
0.6664671.6540745.306213e-09
0.6674031.6540315.313661e-09
0.668341.6539885.321119e-09
0.6692781.6539455.328588e-09
0.6702171.6539025.336067e-09
0.6711581.653865.343557e-09
0.67211.6538175.351057e-09
0.6730431.6537755.358567e-09
0.6739881.6537325.366089e-09
0.6749331.653695.373620e-09
0.6758811.6536485.381163e-09
0.6768291.6536065.388716e-09
0.6777791.6535645.396279e-09
0.6787311.6535225.403853e-09
0.6796831.6534815.411438e-09
0.6806371.6534395.419033e-09
0.6815921.6533975.426639e-09
0.6825491.6533565.434256e-09
0.6835071.6533155.441884e-09
0.6844661.6532745.449522e-09
0.6854271.6532335.457171e-09
0.6863891.6531925.464830e-09
0.6873521.6531515.472500e-09
0.6883171.653115.480182e-09
0.6892831.6530695.487873e-09
0.6902511.6530295.495576e-09
0.6912191.6529885.503290e-09
0.692191.6529485.511014e-09
0.6931611.6529075.518749e-09
0.6941341.6528675.526495e-09
0.6951081.6528275.534252e-09
0.6960841.6527875.542020e-09
0.6970611.6527475.549798e-09
0.6980391.6527075.557588e-09
0.6990191.6526685.565389e-09
0.71.6526285.573200e-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
—