Optical constants

Refractive index of E-SF10 (HIKARI)

E-SF10: 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
1.72825
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.98683
Permittivity ε2
1.61705e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
28.46
Chromatic dispersion dn/dλ
-0.12846 µm⁻¹
Group index ng
1.80373
Group velocity dispersion
260.983 fs²/mm
Dispersion parameter D
-1423.8 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-SF10 (HIKARI): E-SF10
hikari_e_sf10 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-SF10", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_sf10.range_nm)  # (400, 700) nm
eps = hikari_e_sf10.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=2.87968193−0.0123038115⁢λ2.0+0.033443025⁢λ−2.0+0.00183471163⁢λ−4.0−8.12508073×10-5⁢λ−6.0+1.59440837×10-5⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.87968193
C2-0.0123038115
C32.0
C40.033443025
C5-2.0
C60.00183471163
C7-4.0
C8-8.12508073e-05
C9-6.0
C101.59440837e-05
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.728250
Vd
28.459666
glass code
728285
glass status
preferred
density
value: 3070
thermal expansion
value: 9.6e-06, temperature range: 243 343
dPgF
0.011

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-SF10 (HIKARI), E-SF10: n and k versus wavelength
λ (µm)nk
0.41.7784525.549800e-07
0.4005611.7781445.450071e-07
0.4011241.7778375.350202e-07
0.4016871.7775315.250192e-07
0.402251.7772275.150043e-07
0.4028151.7769255.049752e-07
0.403381.7766244.949321e-07
0.4039461.7763244.848749e-07
0.4045131.7760264.748036e-07
0.4050811.7757294.647181e-07
0.405651.7754334.546185e-07
0.4062191.7751394.445048e-07
0.4067891.7748474.343768e-07
0.407361.7745564.242346e-07
0.4079321.7742664.140782e-07
0.4085041.7739774.039075e-07
0.4090781.773693.937225e-07
0.4096521.7734043.835233e-07
0.4102271.773123.733097e-07
0.4108031.7728373.630818e-07
0.4113791.7725553.528395e-07
0.4119571.7722753.425829e-07
0.4125351.7719953.323119e-07
0.4131141.7717183.220264e-07
0.4136941.7714413.117266e-07
0.4142741.7711663.014122e-07
0.4148561.7708922.910834e-07
0.4154381.7706192.807401e-07
0.4160211.7703472.703823e-07
0.4166051.7700772.600099e-07
0.417191.7698082.496230e-07
0.4177751.769542.392215e-07
0.4183621.7692742.288054e-07
0.4189491.7690082.183747e-07
0.4195371.7687442.079293e-07
0.421.7685371.997000e-07
0.4201261.7684811.989802e-07
0.4207151.768221.956003e-07
0.4213061.7679591.922156e-07
0.4218971.76771.888261e-07
0.4224891.7674411.854319e-07
0.4230821.7671841.820329e-07
0.4236761.7669281.786292e-07
0.4242711.7666741.752207e-07
0.4248661.766421.718074e-07
0.4254621.7661671.683893e-07
0.426061.7659161.649664e-07
0.4266581.7656661.615387e-07
0.4272561.7654171.581062e-07
0.4278561.7651681.546689e-07
0.4284571.7649221.512267e-07
0.4290581.7646761.477798e-07
0.429661.7644311.443279e-07
0.4302631.7641871.408713e-07
0.4308671.7639451.374098e-07
0.4314721.7637031.339434e-07
0.4320771.7634621.304722e-07
0.4326841.7632231.269961e-07
0.4332911.7629851.235151e-07
0.4338991.7627471.200292e-07
0.4345081.7625111.165384e-07
0.4351181.7622751.130428e-07
0.4357291.7620411.095422e-07
0.436341.7618081.060367e-07
0.4369531.7615761.025263e-07
0.4375661.7613449.901099e-08
0.438181.7611149.549072e-08
0.4387951.7608859.196552e-08
0.4394111.7606568.843537e-08
0.441.7604398.505900e-08
0.4400281.7604298.499729e-08
0.4406451.7602028.362098e-08
0.4412641.7599778.224275e-08
0.4418831.7597538.086258e-08
0.4425031.7595297.948047e-08
0.4431241.7593067.809642e-08
0.4437461.7590857.671043e-08
0.4443691.7588647.532250e-08
0.4449931.7586447.393262e-08
0.4456171.7584257.254078e-08
0.4462431.7582087.114700e-08
0.4468691.7579916.975125e-08
0.4474961.7577746.835355e-08
0.4481241.7575596.695389e-08
0.4487531.7573456.555226e-08
0.4493831.7571316.414866e-08
0.4500141.7569196.274310e-08
0.4506451.7567076.133556e-08
0.4512781.7564975.992605e-08
0.4519111.7562875.851455e-08
0.4525461.7560785.710108e-08
0.4531811.7558695.568562e-08
0.4538171.7556625.426818e-08
0.4544541.7554565.284875e-08
0.4550921.755255.142732e-08
0.455731.7550455.000390e-08
0.456371.7548414.857848e-08
0.4570111.7546384.715107e-08
0.4576521.7544364.572164e-08
0.4582941.7542344.429021e-08
0.4589381.7540344.285678e-08
0.4595821.7538344.142133e-08
0.461.7537054.048900e-08
0.4602271.7536354.007343e-08
0.4608731.7534373.888918e-08
0.4615191.7532393.770327e-08
0.4621671.7530433.651569e-08
0.4628161.7528473.532644e-08
0.4634651.7526523.413553e-08
0.4641161.7524583.294295e-08
0.4647671.7522643.174869e-08
0.465421.7520723.055275e-08
0.4660731.751882.935514e-08
0.4667271.7516882.815585e-08
0.4673821.7514982.695487e-08
0.4680381.7513082.575221e-08
0.4686951.7511192.454786e-08
0.4693531.7509312.334182e-08
0.4700121.7507442.213408e-08
0.4706711.7505572.092465e-08
0.4713321.7503711.971353e-08
0.4719931.7501861.850070e-08
0.4726561.7500021.728617e-08
0.4733191.7498181.606994e-08
0.4739841.7496351.485200e-08
0.4746491.7494531.363235e-08
0.4753151.7492711.241099e-08
0.4759821.749091.118791e-08
0.476651.748919.963121e-09
0.4773191.748738.736610e-09
0.4779891.7485527.508377e-09
0.478661.7483746.278421e-09
0.4793321.7481965.046738e-09
0.481.7480213.821600e-09
0.4800051.748023.821636e-09
0.4806781.7478433.827002e-09
0.4813531.7476683.832376e-09
0.4820281.7474933.837757e-09
0.4827051.7473193.843145e-09
0.4833821.7471463.848541e-09
0.4840611.7469733.853945e-09
0.484741.7468013.859357e-09
0.4854211.746633.864776e-09
0.4861021.7464593.870202e-09
0.4867841.7462893.875636e-09
0.4874671.746123.881078e-09
0.4881521.7459513.886528e-09
0.4888371.7457833.891985e-09
0.4895231.7456163.897450e-09
0.490211.7454493.902922e-09
0.4908981.7452833.908402e-09
0.4915871.7451173.913890e-09
0.4922771.7449523.919385e-09
0.4929681.7447883.924889e-09
0.493661.7446243.930400e-09
0.4943531.7444613.935918e-09
0.4950461.7442993.941445e-09
0.4957411.7441373.946979e-09
0.4964371.7439753.952521e-09
0.4971341.7438153.958071e-09
0.4978321.7436553.963628e-09
0.498531.7434953.969193e-09
0.499231.7433363.974766e-09
0.4999311.7431783.980347e-09
0.51.7431623.980900e-09
0.5006321.743023.985934e-09
0.5013351.7428633.991529e-09
0.5020391.7427073.997131e-09
0.5027431.7425514.002741e-09
0.5034491.7423954.008360e-09
0.5041551.7422414.013986e-09
0.5048631.7420864.019619e-09
0.5055721.7419334.025261e-09
0.5062811.741784.030911e-09
0.5069921.7416274.036569e-09
0.5077031.7414754.042234e-09
0.5084161.7413244.047908e-09
0.509131.7411734.053589e-09
0.5098441.7410224.059279e-09
0.510561.7408734.064976e-09
0.5112761.7407234.070682e-09
0.5119941.7405754.076395e-09
0.5127121.7404274.082117e-09
0.5134321.7402794.087846e-09
0.5141531.7401324.093584e-09
0.5148741.7399854.099329e-09
0.5155971.7398394.105083e-09
0.5163211.7396944.110845e-09
0.5170451.7395494.116614e-09
0.5177711.7394054.122392e-09
0.5184981.7392614.128178e-09
0.5192251.7391174.133973e-09
0.5199541.7389744.139775e-09
0.5206841.7388324.145585e-09
0.5214151.738694.151404e-09
0.5221471.7385494.157231e-09
0.5228791.7384084.163066e-09
0.5236131.7382684.168909e-09
0.5243481.7381284.174760e-09
0.5250841.7379884.180620e-09
0.5258211.737854.186487e-09
0.5265591.7377114.192363e-09
0.5272981.7375734.198248e-09
0.5280381.7374364.204140e-09
0.5287791.7372994.210041e-09
0.5295211.7371634.215950e-09
0.5302651.7370274.221867e-09
0.5310091.7368914.227793e-09
0.5317541.7367564.233727e-09
0.5325011.7366224.239669e-09
0.5332481.7364884.245620e-09
0.5339961.7363544.251579e-09
0.5347461.7362214.257546e-09
0.5354961.7360894.263522e-09
0.5362481.7359564.269506e-09
0.5370011.7358254.275499e-09
0.5377541.7356934.281500e-09
0.5385091.7355634.287509e-09
0.5392651.7354324.293527e-09
0.5400221.7353024.299553e-09
0.540781.7351734.305588e-09
0.5415391.7350444.311631e-09
0.5422991.7349164.317682e-09
0.543061.7347874.323743e-09
0.5438221.734664.329811e-09
0.5445851.7345334.335888e-09
0.545351.7344064.341974e-09
0.5461151.734284.348068e-09
0.5468821.7341544.354171e-09
0.5476491.7340284.360282e-09
0.5484181.7339034.366402e-09
0.5491871.7337794.372531e-09
0.5499581.7336544.378668e-09
0.551.7336484.379000e-09
0.550731.7335314.384812e-09
0.5515031.7334074.390965e-09
0.5522771.7332844.397126e-09
0.5530521.7331624.403297e-09
0.5538291.733044.409475e-09
0.5546061.7329184.415663e-09
0.5553841.7327974.421859e-09
0.5561641.7326764.428064e-09
0.5569441.7325564.434277e-09
0.5577261.7324364.440499e-09
0.5585091.7323164.446730e-09
0.5592931.7321974.452970e-09
0.5600781.7320784.459219e-09
0.5608641.731964.465476e-09
0.5616511.7318424.471742e-09
0.5624391.7317244.478017e-09
0.5632291.7316074.484300e-09
0.5640191.731494.490593e-09
0.5648111.7313744.496894e-09
0.5656041.7312584.503204e-09
0.5663971.7311424.509523e-09
0.5671921.7310274.515851e-09
0.5679881.7309124.522188e-09
0.5687861.7307984.528533e-09
0.5695841.7306834.534888e-09
0.5703831.730574.541251e-09
0.5711841.7304564.547624e-09
0.5719861.7303434.554005e-09
0.5727881.7302314.560395e-09
0.5735921.7301194.566795e-09
0.5743971.7300074.573203e-09
0.5752041.7298954.579620e-09
0.5760111.7297844.586046e-09
0.5768191.7296744.592481e-09
0.5776291.7295634.598926e-09
0.578441.7294534.605379e-09
0.5792511.7293434.611841e-09
0.5800641.7292344.618313e-09
0.5808791.7291254.624793e-09
0.5816941.7290174.631283e-09
0.582511.7289084.637782e-09
0.5833281.7288014.644290e-09
0.5841471.7286934.650807e-09
0.5849661.7285864.657333e-09
0.5857871.7284794.663868e-09
0.586611.7283734.670413e-09
0.5874331.7282674.676966e-09
0.5882571.7281614.683529e-09
0.5890831.7280554.690101e-09
0.589911.727954.696682e-09
0.5907381.7278464.703273e-09
0.5915671.7277414.709873e-09
0.5923971.7276374.716482e-09
0.5932291.7275334.723100e-09
0.5940611.727434.729728e-09
0.5948951.7273274.736365e-09
0.595731.7272244.743011e-09
0.5965661.7271224.749666e-09
0.5974031.727024.756331e-09
0.5982421.7269184.763006e-09
0.5990821.7268174.769689e-09
0.5999221.7267164.776382e-09
0.61.7267064.777000e-09
0.6007641.7266154.783086e-09
0.6016081.7265144.789800e-09
0.6024521.7264144.796523e-09
0.6032981.7263144.803255e-09
0.6041441.7262154.809997e-09
0.6049921.7261164.816748e-09
0.6058411.7260174.823509e-09
0.6066921.7259184.830279e-09
0.6075431.725824.837059e-09
0.6083961.7257224.843848e-09
0.609251.7256254.850647e-09
0.6101051.7255274.857455e-09
0.6109611.725434.864273e-09
0.6118191.7253344.871100e-09
0.6126771.7252374.877937e-09
0.6135371.7251414.884784e-09
0.6143981.7250454.891640e-09
0.6152611.724954.898506e-09
0.6161241.7248554.905381e-09
0.6169891.724764.912266e-09
0.6178551.7246654.919161e-09
0.6187221.7245714.926066e-09
0.6195911.7244774.932980e-09
0.620461.7243844.939904e-09
0.6213311.724294.946837e-09
0.6222031.7241974.953781e-09
0.6230761.7241044.960734e-09
0.6239511.7240124.967697e-09
0.6248271.7239194.974669e-09
0.6257041.7238284.981652e-09
0.6265821.7237364.988644e-09
0.6274611.7236444.995646e-09
0.6283421.7235535.002658e-09
0.6292241.7234635.009679e-09
0.6301071.7233725.016711e-09
0.6309911.7232825.023752e-09
0.6318771.7231925.030803e-09
0.6327641.7231025.037865e-09
0.6336521.7230135.044936e-09
0.6345411.7229245.052017e-09
0.6354321.7228355.059108e-09
0.6363241.7227465.066208e-09
0.6372171.7226585.073319e-09
0.6381111.722575.080440e-09
0.6390071.7224825.087571e-09
0.6399041.7223945.094712e-09
0.6408021.7223075.101863e-09
0.6417011.722225.109024e-09
0.6426021.7221335.116194e-09
0.6435041.7220475.123375e-09
0.6444071.7219615.130567e-09
0.6453111.7218755.137768e-09
0.6462171.7217895.144979e-09
0.6471241.7217045.152200e-09
0.6480321.7216195.159432e-09
0.6489421.7215345.166674e-09
0.6498521.7214495.173926e-09
0.651.7214355.175100e-09
0.6507651.7213655.181188e-09
0.6516781.7212815.188460e-09
0.6525931.7211975.195742e-09
0.6535091.7211135.203035e-09
0.6544261.721035.210338e-09
0.6553441.7209475.217651e-09
0.6562641.7208645.224974e-09
0.6571851.7207815.232308e-09
0.6581081.7206995.239652e-09
0.6590311.7206175.247006e-09
0.6599561.7205355.254371e-09
0.6608821.7204535.261746e-09
0.661811.7203725.269131e-09
0.6627391.720295.276527e-09
0.6636691.7202095.283933e-09
0.6646011.7201295.291349e-09
0.6655331.7200485.298776e-09
0.6664671.7199685.306213e-09
0.6674031.7198885.313661e-09
0.668341.7198085.321119e-09
0.6692781.7197295.328588e-09
0.6702171.719655.336067e-09
0.6711581.7195715.343557e-09
0.67211.7194925.351057e-09
0.6730431.7194135.358567e-09
0.6739881.7193355.366089e-09
0.6749331.7192575.373620e-09
0.6758811.7191795.381163e-09
0.6768291.7191015.388716e-09
0.6777791.7190245.396279e-09
0.6787311.7189475.403853e-09
0.6796831.718875.411438e-09
0.6806371.7187935.419033e-09
0.6815921.7187165.426639e-09
0.6825491.718645.434256e-09
0.6835071.7185645.441884e-09
0.6844661.7184885.449522e-09
0.6854271.7184135.457171e-09
0.6863891.7183375.464830e-09
0.6873521.7182625.472500e-09
0.6883171.7181875.480182e-09
0.6892831.7181125.487873e-09
0.6902511.7180385.495576e-09
0.6912191.7179635.503290e-09
0.692191.7178895.511014e-09
0.6931611.7178155.518749e-09
0.6941341.7177415.526495e-09
0.6951081.7176685.534252e-09
0.6960841.7175955.542020e-09
0.6970611.7175225.549798e-09
0.6980391.7174495.557588e-09
0.6990191.7173765.565389e-09
0.71.7173045.573200e-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
—