Optical constants

Refractive index of E-SF14 (HIKARI)

E-SF14: 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
1.76181
Extinction coefficient k
1.54770e-08
Permittivity ε1
3.10399
Permittivity ε2
5.45353e-08
Absorption coefficient α
0.0033099 cm⁻¹
Penetration depth δ = λ/(2πk)
6.04247e+09 nm
Abbe number Vd
26.556
Chromatic dispersion dn/dλ
-0.143717 µm⁻¹
Group index ng
1.84626
Group velocity dispersion
296.046 fs²/mm
Dispersion parameter D
-1615.09 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-SF14 (HIKARI): E-SF14
hikari_e_sf14 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-SF14", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_sf14.range_nm)  # (400, 700) nm
eps = hikari_e_sf14.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=2.98384614−0.0128995609⁢λ2.0+0.035639664⁢λ−2.0+0.00296907641⁢λ−4.0−0.00022269905⁢λ−6.0+2.67423649×10-5⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.98384614
C2-0.0128995609
C32.0
C40.035639664
C5-2.0
C60.00296907641
C7-4.0
C8-0.00022269905
C9-6.0
C102.67423649e-05
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.761820
Vd
26.556301
glass code
762266
glass status
preferred
density
value: 3160
thermal expansion
value: 9.4e-06, temperature range: 243 343
dPgF
0.0122

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-SF14 (HIKARI), E-SF14: n and k versus wavelength
λ (µm)nk
0.41.8185017.102900e-07
0.4005611.8181496.995098e-07
0.4011241.81786.887144e-07
0.4016871.8174526.779039e-07
0.402251.8171056.670782e-07
0.4028151.8167616.562373e-07
0.403381.8164186.453812e-07
0.4039461.8160776.345099e-07
0.4045131.8157376.236233e-07
0.4050811.8153996.127214e-07
0.405651.8150636.018043e-07
0.4062191.8147295.908718e-07
0.4067891.8143965.799239e-07
0.407361.8140655.689607e-07
0.4079321.8137355.579821e-07
0.4085041.8134075.469881e-07
0.4090781.813085.359787e-07
0.4096521.8127565.249538e-07
0.4102271.8124325.139135e-07
0.4108031.812115.028576e-07
0.4113791.811794.917862e-07
0.4119571.8114724.806993e-07
0.4125351.8111544.695969e-07
0.4131141.8108394.584788e-07
0.4136941.8105244.473451e-07
0.4142741.8102124.361959e-07
0.4148561.8099014.250309e-07
0.4154381.8095914.138503e-07
0.4160211.8092834.026540e-07
0.4166051.8089763.914420e-07
0.417191.808673.802143e-07
0.4177751.8083663.689708e-07
0.4183621.8080643.577115e-07
0.4189491.8077633.464364e-07
0.4195371.8074633.351455e-07
0.421.8072283.262500e-07
0.4201261.8071653.254918e-07
0.4207151.8068683.219314e-07
0.4213061.8065723.183661e-07
0.4218971.8062783.147957e-07
0.4224891.8059853.112203e-07
0.4230821.8056933.076399e-07
0.4236761.8054033.040545e-07
0.4242711.8051143.004641e-07
0.4248661.8048272.968686e-07
0.4254621.8045412.932681e-07
0.426061.8042562.896625e-07
0.4266581.8039722.860518e-07
0.4272561.803692.824361e-07
0.4278561.8034092.788153e-07
0.4284571.8031292.751895e-07
0.4290581.802852.715585e-07
0.429661.8025732.679224e-07
0.4302631.8022972.642813e-07
0.4308671.8020222.606350e-07
0.4314721.8017492.569836e-07
0.4320771.8014762.533271e-07
0.4326841.8012052.496655e-07
0.4332911.8009352.459987e-07
0.4338991.8006662.423267e-07
0.4345081.8003992.386497e-07
0.4351181.8001322.349674e-07
0.4357291.7998672.312800e-07
0.436341.7996032.275874e-07
0.4369531.799342.238896e-07
0.4375661.7990782.201867e-07
0.438181.7988182.164785e-07
0.4387951.7985582.127652e-07
0.4394111.79832.090466e-07
0.441.7980542.054900e-07
0.4400281.7980432.054177e-07
0.4406451.7977872.038045e-07
0.4412641.7975322.021891e-07
0.4418831.7972782.005714e-07
0.4425031.7970251.989515e-07
0.4431241.7967731.973292e-07
0.4437461.7965231.957047e-07
0.4443691.7962731.940780e-07
0.4449931.7960251.924489e-07
0.4456171.7957771.908175e-07
0.4462431.7955311.891839e-07
0.4468691.7952861.875480e-07
0.4474961.7950411.859097e-07
0.4481241.7947981.842692e-07
0.4487531.7945561.826264e-07
0.4493831.7943151.809812e-07
0.4500141.7940751.793338e-07
0.4506451.7938351.776840e-07
0.4512781.7935971.760319e-07
0.4519111.793361.743776e-07
0.4525461.7931241.727208e-07
0.4531811.7928891.710618e-07
0.4538171.7926551.694004e-07
0.4544541.7924211.677367e-07
0.4550921.7921891.660707e-07
0.455731.7919581.644023e-07
0.456371.7917281.627316e-07
0.4570111.7914981.610585e-07
0.4576521.791271.593831e-07
0.4582941.7910421.577054e-07
0.4589381.7908161.560252e-07
0.4595821.790591.543428e-07
0.461.7904451.532500e-07
0.4602271.7903661.527871e-07
0.4608731.7901421.514681e-07
0.4615191.7899191.501473e-07
0.4621671.7896971.488245e-07
0.4628161.7894761.475000e-07
0.4634651.7892561.461735e-07
0.4641161.7890371.448452e-07
0.4647671.7888191.435151e-07
0.465421.7886011.421831e-07
0.4660731.7883851.408492e-07
0.4667271.7881691.395134e-07
0.4673821.7879541.381757e-07
0.4680381.787741.368362e-07
0.4686951.7875271.354948e-07
0.4693531.7873151.341515e-07
0.4700121.7871031.328064e-07
0.4706711.7868931.314593e-07
0.4713321.7866831.301104e-07
0.4719931.7864741.287595e-07
0.4726561.7862661.274068e-07
0.4733191.7860591.260522e-07
0.4739841.7858531.246956e-07
0.4746491.7856471.233372e-07
0.4753151.7854421.219768e-07
0.4759821.7852381.206146e-07
0.476651.7850351.192504e-07
0.4773191.7848331.178843e-07
0.4779891.7846311.165163e-07
0.478661.7844311.151464e-07
0.4793321.7842311.137746e-07
0.481.7840331.124100e-07
0.4800051.7840321.124009e-07
0.4806781.7838331.110489e-07
0.4813531.7836361.096949e-07
0.4820281.7834391.083391e-07
0.4827051.7832431.069813e-07
0.4833821.7830471.056217e-07
0.4840611.7828531.042601e-07
0.484741.7826591.028967e-07
0.4854211.7824661.015313e-07
0.4861021.7822741.001640e-07
0.4867841.7820829.879473e-08
0.4874671.7818919.742358e-08
0.4881521.7817019.605051e-08
0.4888371.7815129.467551e-08
0.4895231.7813239.329859e-08
0.490211.7811359.191973e-08
0.4908981.7809489.053893e-08
0.4915871.7807628.915620e-08
0.4922771.7805768.777152e-08
0.4929681.7803918.638490e-08
0.493661.7802068.499634e-08
0.4943531.7800238.360583e-08
0.4950461.779848.221336e-08
0.4957411.7796588.081894e-08
0.4964371.7794767.942257e-08
0.4971341.7792957.802423e-08
0.4978321.7791157.662393e-08
0.498531.7789357.522167e-08
0.499231.7787577.381744e-08
0.4999311.7785787.241123e-08
0.51.7785617.227200e-08
0.5006321.7784017.141344e-08
0.5013351.7782247.045933e-08
0.5020391.7780486.950389e-08
0.5027431.7778726.854711e-08
0.5034491.7776986.758898e-08
0.5041551.7775236.662951e-08
0.5048631.777356.566869e-08
0.5055721.7771776.470653e-08
0.5062811.7770056.374301e-08
0.5069921.7768336.277814e-08
0.5077031.7766626.181192e-08
0.5084161.7764926.084434e-08
0.509131.7763225.987540e-08
0.5098441.7761535.890510e-08
0.510561.7759845.793344e-08
0.5112761.7758175.696042e-08
0.5119941.7756495.598603e-08
0.5127121.7754835.501027e-08
0.5134321.7753175.403315e-08
0.5141531.7751515.305465e-08
0.5148741.7749875.207478e-08
0.5155971.7748225.109353e-08
0.5163211.7746595.011091e-08
0.5170451.7744964.912691e-08
0.5177711.7743334.814153e-08
0.5184981.7741724.715476e-08
0.5192251.774014.616661e-08
0.5199541.773854.517707e-08
0.5206841.773694.418614e-08
0.5214151.773534.319382e-08
0.5221471.7733714.220011e-08
0.5228791.7732134.120501e-08
0.5236131.7730554.020851e-08
0.5243481.7728983.921061e-08
0.5250841.7727423.821130e-08
0.5258211.7725863.721060e-08
0.5265591.772433.620849e-08
0.5272981.7722753.520498e-08
0.5280381.7721213.420005e-08
0.5287791.7719673.319372e-08
0.5295211.7718143.218598e-08
0.5302651.7716613.117681e-08
0.5310091.7715093.016624e-08
0.5317541.7713572.915424e-08
0.5325011.7712062.814083e-08
0.5332481.7710562.712599e-08
0.5339961.7709062.610973e-08
0.5347461.7707562.509204e-08
0.5354961.7706072.407292e-08
0.5362481.7704592.305237e-08
0.5370011.7703112.203039e-08
0.5377541.7701642.100698e-08
0.5385091.7700171.998213e-08
0.5392651.7698711.895584e-08
0.5400221.7697251.792811e-08
0.540781.7695791.689894e-08
0.5415391.7694351.586832e-08
0.5422991.769291.483626e-08
0.543061.7691471.380275e-08
0.5438221.7690031.276779e-08
0.5445851.7688611.173137e-08
0.545351.7687181.069350e-08
0.5461151.7685779.654178e-09
0.5468821.7684358.613393e-09
0.5476491.7682957.571148e-09
0.5484181.7681546.527440e-09
0.5491871.7680155.482267e-09
0.5499581.7678754.435627e-09
0.551.7678684.379000e-09
0.550731.7677364.594520e-09
0.5515031.7675984.822669e-09
0.5522771.767465.051138e-09
0.5530521.7673235.279927e-09
0.5538291.7671865.509038e-09
0.5546061.7670495.738470e-09
0.5553841.7669145.968224e-09
0.5561641.7667786.198301e-09
0.5569441.7666436.428701e-09
0.5577261.7665086.659424e-09
0.5585091.7663746.890471e-09
0.5592931.7662417.121842e-09
0.5600781.7661087.353538e-09
0.5608641.7659757.585559e-09
0.5616511.7658437.817906e-09
0.5624391.7657118.050578e-09
0.5632291.7655798.283578e-09
0.5640191.7654488.516904e-09
0.5648111.7653188.750558e-09
0.5656041.7651888.984540e-09
0.5663971.7650589.218850e-09
0.5671921.7649299.453489e-09
0.5679881.7648019.688458e-09
0.5687861.7646729.923756e-09
0.5695841.7645441.015938e-08
0.5703831.7644171.039534e-08
0.5711841.764291.063163e-08
0.5719861.7641641.086826e-08
0.5727881.7640371.110521e-08
0.5735921.7639121.134250e-08
0.5743971.7637871.158012e-08
0.5752041.7636621.181807e-08
0.5760111.7635371.205636e-08
0.5768191.7634131.229498e-08
0.5776291.763291.253394e-08
0.578441.7631671.277323e-08
0.5792511.7630441.301285e-08
0.5800641.7629211.325282e-08
0.5808791.7627991.349312e-08
0.5816941.7626781.373376e-08
0.582511.7625571.397473e-08
0.5833281.7624361.421605e-08
0.5841471.7623161.445770e-08
0.5849661.7621961.469969e-08
0.5857871.7620761.494202e-08
0.586611.7619571.518470e-08
0.5874331.7618391.542771e-08
0.5882571.761721.567106e-08
0.5890831.7616021.591476e-08
0.589911.7614851.615879e-08
0.5907381.7613681.640317e-08
0.5915671.7612511.664790e-08
0.5923971.7611341.689296e-08
0.5932291.7610181.713837e-08
0.5940611.7609031.738413e-08
0.5948951.7607881.763023e-08
0.595731.7606731.787667e-08
0.5965661.7605581.812346e-08
0.5974031.7604441.837060e-08
0.5982421.760331.861808e-08
0.5990821.7602171.886591e-08
0.5999221.7601041.911409e-08
0.61.7600941.913700e-08
0.6007641.7599911.955936e-08
0.6016081.7598792.002526e-08
0.6024521.7597672.049181e-08
0.6032981.7596562.095901e-08
0.6041441.7595452.142687e-08
0.6049921.7594342.189539e-08
0.6058411.7593232.236457e-08
0.6066921.7592132.283440e-08
0.6075431.7591042.330489e-08
0.6083961.7589942.377605e-08
0.609251.7588852.424786e-08
0.6101051.7587772.472034e-08
0.6109611.7586682.519348e-08
0.6118191.758562.566728e-08
0.6126771.7584532.614175e-08
0.6135371.7583462.661689e-08
0.6143981.7582392.709269e-08
0.6152611.7581322.756916e-08
0.6161241.7580262.804630e-08
0.6169891.757922.852411e-08
0.6178551.7578142.900259e-08
0.6187221.7577092.948174e-08
0.6195911.7576042.996156e-08
0.620461.75753.044206e-08
0.6213311.7573963.092323e-08
0.6222031.7572923.140507e-08
0.6230761.7571883.188760e-08
0.6239511.7570853.237079e-08
0.6248271.7569823.285467e-08
0.6257041.756883.333923e-08
0.6265821.7567773.382447e-08
0.6274611.7566763.431038e-08
0.6283421.7565743.479699e-08
0.6292241.7564733.528427e-08
0.6301071.7563723.577224e-08
0.6309911.7562713.626089e-08
0.6318771.7561713.675022e-08
0.6327641.7560713.724025e-08
0.6336521.7559713.773096e-08
0.6345411.7558723.822236e-08
0.6354321.7557733.871445e-08
0.6363241.7556743.920723e-08
0.6372171.7555763.970071e-08
0.6381111.7554784.019487e-08
0.6390071.755384.068973e-08
0.6399041.7552824.118529e-08
0.6408021.7551854.168154e-08
0.6417011.7550884.217848e-08
0.6426021.7549924.267612e-08
0.6435041.7548964.317447e-08
0.6444071.75484.367351e-08
0.6453111.7547044.417325e-08
0.6462171.7546094.467369e-08
0.6471241.7545134.517484e-08
0.6480321.7544194.567669e-08
0.6489421.7543244.617924e-08
0.6498521.754234.668250e-08
0.651.7542154.676400e-08
0.6507651.7541364.613413e-08
0.6516781.7540434.538168e-08
0.6525931.7539494.462818e-08
0.6535091.7538564.387362e-08
0.6544261.7537634.311800e-08
0.6553441.7536714.236132e-08
0.6562641.7535794.160357e-08
0.6571851.7534874.084477e-08
0.6581081.7533954.008490e-08
0.6590311.7533043.932396e-08
0.6599561.7532133.856196e-08
0.6608821.7531223.779888e-08
0.661811.7530323.703474e-08
0.6627391.7529413.626952e-08
0.6636691.7528523.550323e-08
0.6646011.7527623.473586e-08
0.6655331.7526723.396741e-08
0.6664671.7525833.319789e-08
0.6674031.7524943.242729e-08
0.668341.7524063.165560e-08
0.6692781.7523183.088283e-08
0.6702171.752233.010898e-08
0.6711581.7521422.933404e-08
0.67211.7520542.855802e-08
0.6730431.7519672.778090e-08
0.6739881.751882.700270e-08
0.6749331.7517932.622340e-08
0.6758811.7517072.544301e-08
0.6768291.7516212.466152e-08
0.6777791.7515352.387893e-08
0.6787311.7514492.309525e-08
0.6796831.7513642.231047e-08
0.6806371.7512792.152458e-08
0.6815921.7511942.073760e-08
0.6825491.7511091.994951e-08
0.6835071.7510251.916031e-08
0.6844661.750941.837000e-08
0.6854271.7508571.757859e-08
0.6863891.7507731.678606e-08
0.6873521.7506891.599243e-08
0.6883171.7506061.519767e-08
0.6892831.7505231.440181e-08
0.6902511.7504411.360482e-08
0.6912191.7503581.280672e-08
0.692191.7502761.200750e-08
0.6931611.7501941.120715e-08
0.6941341.7501131.040568e-08
0.6951081.7500319.603092e-09
0.6960841.749958.799373e-09
0.6970611.7498697.994526e-09
0.6980391.7497887.188549e-09
0.6990191.7497086.381441e-09
0.71.7496275.573200e-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
—