Optical constants

Refractive index of E-SK2 (HIKARI)

E-SK2: 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
1.60738
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.58366
Permittivity ε2
1.50396e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
56.747
Chromatic dispersion dn/dλ
-0.0551593 µm⁻¹
Group index ng
1.63979
Group velocity dispersion
98.8825 fs²/mm
Dispersion parameter D
-539.457 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-SK2 (HIKARI): E-SK2
hikari_e_sk2 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-SK2", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_sk2.range_nm)  # (400, 700) nm
eps = hikari_e_sk2.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=2.5423297−0.0100137205⁢λ2.0+0.0136627069⁢λ−2.0+0.000828586571⁢λ−4.0−8.59026849×10-5⁢λ−6.0+5.07949629×10-6⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.5423297
C2-0.0100137205
C32.0
C40.0136627069
C5-2.0
C60.000828586571
C7-4.0
C8-8.59026849e-05
C9-6.0
C105.07949629e-06
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.607380
Vd
56.746973
glass status
preferred
density
value: 3450
thermal expansion
value: 5.9e-06, temperature range: 243 343
dPgF
-0.0017

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-SK2 (HIKARI), E-SK2: n and k versus wavelength
λ (µm)nk
0.41.6264276.372600e-09
0.4005611.6263246.287583e-09
0.4011241.6262216.202446e-09
0.4016871.6261196.117190e-09
0.402251.6260166.031814e-09
0.4028151.6259155.946318e-09
0.403381.6258135.860702e-09
0.4039461.6257125.774966e-09
0.4045131.6256115.689110e-09
0.4050811.6255115.603133e-09
0.405651.6254115.517036e-09
0.4062191.6253115.430818e-09
0.4067891.6252125.344479e-09
0.407361.6251135.258018e-09
0.4079321.6250145.171436e-09
0.4085041.6249165.084733e-09
0.4090781.6248184.997908e-09
0.4096521.624724.910961e-09
0.4102271.6246234.823892e-09
0.4108031.6245254.736701e-09
0.4113791.6244294.649388e-09
0.4119571.6243324.561952e-09
0.4125351.6242364.474393e-09
0.4131141.624144.386712e-09
0.4136941.6240454.298907e-09
0.4142741.623954.210979e-09
0.4148561.6238554.122928e-09
0.4154381.623764.034753e-09
0.4160211.6236663.946454e-09
0.4166051.6235723.858032e-09
0.417191.6234783.769485e-09
0.4177751.6233853.680814e-09
0.4183621.6232923.592018e-09
0.4189491.6231993.503098e-09
0.4195371.6231073.414054e-09
0.421.6230343.343900e-09
0.4201261.6230153.344900e-09
0.4207151.6229233.349597e-09
0.4213061.6228313.354300e-09
0.4218971.622743.359010e-09
0.4224891.6226493.363726e-09
0.4230821.6225593.368449e-09
0.4236761.6224683.373179e-09
0.4242711.6223783.377915e-09
0.4248661.6222883.382658e-09
0.4254621.6221993.387408e-09
0.426061.622113.392164e-09
0.4266581.6220213.396927e-09
0.4272561.6219323.401697e-09
0.4278561.6218443.406473e-09
0.4284571.6217563.411256e-09
0.4290581.6216683.416046e-09
0.429661.621583.420843e-09
0.4302631.6214933.425646e-09
0.4308671.6214063.430456e-09
0.4314721.621323.435272e-09
0.4320771.6212333.440096e-09
0.4326841.6211473.444926e-09
0.4332911.6210613.449763e-09
0.4338991.6209763.454607e-09
0.4345081.620893.459458e-09
0.4351181.6208053.464315e-09
0.4357291.620723.469179e-09
0.436341.6206363.474050e-09
0.4369531.6205523.478928e-09
0.4375661.6204683.483813e-09
0.438181.6203843.488705e-09
0.4387951.62033.493603e-09
0.4394111.6202173.498508e-09
0.441.6201383.503200e-09
0.4400281.6201343.503420e-09
0.4406451.6200523.508336e-09
0.4412641.6199693.513259e-09
0.4418831.6198873.518189e-09
0.4425031.6198053.523126e-09
0.4431241.6197233.528070e-09
0.4437461.6196423.533020e-09
0.4443691.6195613.537978e-09
0.4449931.619483.542942e-09
0.4456171.6193993.547914e-09
0.4462431.6193193.552892e-09
0.4468691.6192393.557878e-09
0.4474961.6191593.562870e-09
0.4481241.6190793.567870e-09
0.4487531.6193.572876e-09
0.4493831.6189213.577890e-09
0.4500141.6188423.582910e-09
0.4506451.6187633.587938e-09
0.4512781.6186853.592973e-09
0.4519111.6186063.598014e-09
0.4525461.6185283.603063e-09
0.4531811.6184513.608119e-09
0.4538171.6183733.613182e-09
0.4544541.6182963.618252e-09
0.4550921.6182193.623329e-09
0.455731.6181423.628414e-09
0.456371.6180663.633505e-09
0.4570111.6179893.638604e-09
0.4576521.6179133.643709e-09
0.4582941.6178383.648822e-09
0.4589381.6177623.653943e-09
0.4595821.6176873.659070e-09
0.461.6176383.662400e-09
0.4602271.6176113.664204e-09
0.4608731.6175363.669346e-09
0.4615191.6174623.674495e-09
0.4621671.6173873.679651e-09
0.4628161.6173133.684814e-09
0.4634651.6172393.689985e-09
0.4641161.6171653.695163e-09
0.4647671.6170923.700348e-09
0.465421.6170183.705541e-09
0.4660731.6169453.710740e-09
0.4667271.6168723.715947e-09
0.4673821.61683.721162e-09
0.4680381.6167273.726383e-09
0.4686951.6166553.731612e-09
0.4693531.6165833.736848e-09
0.4700121.6165113.742092e-09
0.4706711.6164393.747343e-09
0.4713321.6163683.752602e-09
0.4719931.6162973.757867e-09
0.4726561.6162263.763140e-09
0.4733191.6161553.768421e-09
0.4739841.6160853.773709e-09
0.4746491.6160143.779004e-09
0.4753151.6159443.784307e-09
0.4759821.6158743.789617e-09
0.476651.6158053.794935e-09
0.4773191.6157353.800260e-09
0.4779891.6156663.805593e-09
0.478661.6155973.810933e-09
0.4793321.6155283.816281e-09
0.481.615463.821600e-09
0.4800051.6154593.821636e-09
0.4806781.6153913.827002e-09
0.4813531.6153233.832376e-09
0.4820281.6152553.837757e-09
0.4827051.6151873.843145e-09
0.4833821.6151193.848541e-09
0.4840611.6150523.853945e-09
0.484741.6149843.859357e-09
0.4854211.6149173.864776e-09
0.4861021.6148513.870202e-09
0.4867841.6147843.875636e-09
0.4874671.6147173.881078e-09
0.4881521.6146513.886528e-09
0.4888371.6145853.891985e-09
0.4895231.6145193.897450e-09
0.490211.6144543.902922e-09
0.4908981.6143883.908402e-09
0.4915871.6143233.913890e-09
0.4922771.6142583.919385e-09
0.4929681.6141933.924889e-09
0.493661.6141283.930400e-09
0.4943531.6140643.935918e-09
0.4950461.6139993.941445e-09
0.4957411.6139353.946979e-09
0.4964371.6138713.952521e-09
0.4971341.6138073.958071e-09
0.4978321.6137443.963628e-09
0.498531.613683.969193e-09
0.499231.6136173.974766e-09
0.4999311.6135543.980347e-09
0.51.6135483.980900e-09
0.5006321.6134913.985934e-09
0.5013351.6134293.991529e-09
0.5020391.6133663.997131e-09
0.5027431.6133044.002741e-09
0.5034491.6132424.008360e-09
0.5041551.613184.013986e-09
0.5048631.6131184.019619e-09
0.5055721.6130574.025261e-09
0.5062811.6129954.030911e-09
0.5069921.6129344.036569e-09
0.5077031.6128734.042234e-09
0.5084161.6128124.047908e-09
0.509131.6127514.053589e-09
0.5098441.6126914.059279e-09
0.510561.6126314.064976e-09
0.5112761.612574.070682e-09
0.5119941.612514.076395e-09
0.5127121.6124514.082117e-09
0.5134321.6123914.087846e-09
0.5141531.6123324.093584e-09
0.5148741.6122724.099329e-09
0.5155971.6122134.105083e-09
0.5163211.6121544.110845e-09
0.5170451.6120954.116614e-09
0.5177711.6120374.122392e-09
0.5184981.6119784.128178e-09
0.5192251.611924.133973e-09
0.5199541.6118624.139775e-09
0.5206841.6118044.145585e-09
0.5214151.6117464.151404e-09
0.5221471.6116894.157231e-09
0.5228791.6116314.163066e-09
0.5236131.6115744.168909e-09
0.5243481.6115174.174760e-09
0.5250841.611464.180620e-09
0.5258211.6114034.186487e-09
0.5265591.6113474.192363e-09
0.5272981.611294.198248e-09
0.5280381.6112344.204140e-09
0.5287791.6111784.210041e-09
0.5295211.6111224.215950e-09
0.5302651.6110664.221867e-09
0.5310091.611014.227793e-09
0.5317541.6109554.233727e-09
0.5325011.6108994.239669e-09
0.5332481.6108444.245620e-09
0.5339961.6107894.251579e-09
0.5347461.6107344.257546e-09
0.5354961.610684.263522e-09
0.5362481.6106254.269506e-09
0.5370011.6105714.275499e-09
0.5377541.6105164.281500e-09
0.5385091.6104624.287509e-09
0.5392651.6104084.293527e-09
0.5400221.6103544.299553e-09
0.540781.6103014.305588e-09
0.5415391.6102474.311631e-09
0.5422991.6101944.317682e-09
0.543061.6101414.323743e-09
0.5438221.6100884.329811e-09
0.5445851.6100354.335888e-09
0.545351.6099824.341974e-09
0.5461151.609934.348068e-09
0.5468821.6098774.354171e-09
0.5476491.6098254.360282e-09
0.5484181.6097734.366402e-09
0.5491871.6097214.372531e-09
0.5499581.6096694.378668e-09
0.551.6096664.379000e-09
0.550731.6096174.384812e-09
0.5515031.6095664.390965e-09
0.5522771.6095144.397126e-09
0.5530521.6094634.403297e-09
0.5538291.6094124.409475e-09
0.5546061.6093614.415663e-09
0.5553841.609314.421859e-09
0.5561641.6092594.428064e-09
0.5569441.6092094.434277e-09
0.5577261.6091584.440499e-09
0.5585091.6091084.446730e-09
0.5592931.6090584.452970e-09
0.5600781.6090084.459219e-09
0.5608641.6089584.465476e-09
0.5616511.6089084.471742e-09
0.5624391.6088594.478017e-09
0.5632291.6088094.484300e-09
0.5640191.608764.490593e-09
0.5648111.6087114.496894e-09
0.5656041.6086624.503204e-09
0.5663971.6086134.509523e-09
0.5671921.6085644.515851e-09
0.5679881.6085154.522188e-09
0.5687861.6084674.528533e-09
0.5695841.6084184.534888e-09
0.5703831.608374.541251e-09
0.5711841.6083224.547624e-09
0.5719861.6082744.554005e-09
0.5727881.6082264.560395e-09
0.5735921.6081794.566795e-09
0.5743971.6081314.573203e-09
0.5752041.6080834.579620e-09
0.5760111.6080364.586046e-09
0.5768191.6079894.592481e-09
0.5776291.6079424.598926e-09
0.578441.6078954.605379e-09
0.5792511.6078484.611841e-09
0.5800641.6078024.618313e-09
0.5808791.6077554.624793e-09
0.5816941.6077094.631283e-09
0.582511.6076624.637782e-09
0.5833281.6076164.644290e-09
0.5841471.607574.650807e-09
0.5849661.6075244.657333e-09
0.5857871.6074784.663868e-09
0.586611.6074334.670413e-09
0.5874331.6073874.676966e-09
0.5882571.6073424.683529e-09
0.5890831.6072964.690101e-09
0.589911.6072514.696682e-09
0.5907381.6072064.703273e-09
0.5915671.6071614.709873e-09
0.5923971.6071164.716482e-09
0.5932291.6070724.723100e-09
0.5940611.6070274.729728e-09
0.5948951.6069834.736365e-09
0.595731.6069384.743011e-09
0.5965661.6068944.749666e-09
0.5974031.606854.756331e-09
0.5982421.6068064.763006e-09
0.5990821.6067624.769689e-09
0.5999221.6067184.776382e-09
0.61.6067144.777000e-09
0.6007641.6066754.862276e-09
0.6016081.6066314.956342e-09
0.6024521.6065885.050541e-09
0.6032981.6065455.144871e-09
0.6041441.6065025.239334e-09
0.6049921.6064585.333930e-09
0.6058411.6064165.428658e-09
0.6066921.6063735.523520e-09
0.6075431.606335.618514e-09
0.6083961.6062875.713642e-09
0.609251.6062455.808903e-09
0.6101051.6062035.904298e-09
0.6109611.606165.999827e-09
0.6118191.6061186.095490e-09
0.6126771.6060766.191287e-09
0.6135371.6060346.287219e-09
0.6143981.6059926.383285e-09
0.6152611.6059516.479486e-09
0.6161241.6059096.575822e-09
0.6169891.6058686.672294e-09
0.6178551.6058266.768901e-09
0.6187221.6057856.865643e-09
0.6195911.6057446.962521e-09
0.620461.6057037.059535e-09
0.6213311.6056627.156686e-09
0.6222031.6056217.253972e-09
0.6230761.605587.351395e-09
0.6239511.605547.448955e-09
0.6248271.6054997.546652e-09
0.6257041.6054597.644486e-09
0.6265821.6054187.742457e-09
0.6274611.6053787.840566e-09
0.6283421.6053387.938813e-09
0.6292241.6052988.037197e-09
0.6301071.6052588.135719e-09
0.6309911.6052188.234380e-09
0.6318771.6051798.333179e-09
0.6327641.6051398.432117e-09
0.6336521.60518.531194e-09
0.6345411.605068.630410e-09
0.6354321.6050218.729765e-09
0.6363241.6049828.829259e-09
0.6372171.6049438.928893e-09
0.6381111.6049049.028667e-09
0.6390071.6048659.128581e-09
0.6399041.6048269.228636e-09
0.6408021.6047879.328830e-09
0.6417011.6047499.429166e-09
0.6426021.604719.529642e-09
0.6435041.6046729.630259e-09
0.6444071.6046349.731017e-09
0.6453111.6045959.831917e-09
0.6462171.6045579.932959e-09
0.6471241.6045191.003414e-08
0.6480321.6044811.013547e-08
0.6489421.6044441.023693e-08
0.6498521.6044061.033854e-08
0.651.60441.035500e-08
0.6507651.6043681.028188e-08
0.6516781.6043311.019453e-08
0.6525931.6042931.010705e-08
0.6535091.6042561.001946e-08
0.6544261.6042199.931739e-09
0.6553441.6041829.843897e-09
0.6562641.6041459.755931e-09
0.6571851.6041089.667842e-09
0.6581081.6040719.579629e-09
0.6590311.6040349.491293e-09
0.6599561.6039979.402833e-09
0.6608821.6039619.314248e-09
0.661811.6039249.225539e-09
0.6627391.6038889.136706e-09
0.6636691.6038519.047748e-09
0.6646011.6038158.958665e-09
0.6655331.6037798.869457e-09
0.6664671.6037438.780123e-09
0.6674031.6037078.690665e-09
0.668341.6036718.601081e-09
0.6692781.6036358.511371e-09
0.6702171.60368.421535e-09
0.6711581.6035648.331573e-09
0.67211.6035288.241485e-09
0.6730431.6034938.151271e-09
0.6739881.6034588.060929e-09
0.6749331.6034227.970461e-09
0.6758811.6033877.879866e-09
0.6768291.6033527.789144e-09
0.6777791.6033177.698295e-09
0.6787311.6032827.607318e-09
0.6796831.6032477.516213e-09
0.6806371.6032127.424981e-09
0.6815921.6031787.333620e-09
0.6825491.6031437.242131e-09
0.6835071.6031097.150514e-09
0.6844661.6030747.058768e-09
0.6854271.603046.966894e-09
0.6863891.6030056.874890e-09
0.6873521.6029716.782758e-09
0.6883171.6029376.690496e-09
0.6892831.6029036.598104e-09
0.6902511.6028696.505583e-09
0.6912191.6028356.412932e-09
0.692191.6028016.320151e-09
0.6931611.6027686.227240e-09
0.6941341.6027346.134198e-09
0.6951081.6027016.041026e-09
0.6960841.6026675.947723e-09
0.6970611.6026345.854289e-09
0.6980391.60265.760724e-09
0.6990191.6025675.667028e-09
0.71.6025345.573200e-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
—