Optical constants

Refractive index of SF1 (HIKARI)

SF1: n,k 0.4–0.7 µm

Data
formula 3 + tabulated k
Range
0.4–0.7 µm
Temperature
293 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
1.71736
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.94931
Permittivity ε2
1.60686e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
29.487
Chromatic dispersion dn/dλ
-0.122583 µm⁻¹
Group index ng
1.78939
Group velocity dispersion
247.893 fs²/mm
Dispersion parameter D
-1352.39 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

# SF1 (HIKARI): SF1
hikari_sf1 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "SF1", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_sf1.range_nm)  # (400, 700) nm
eps = hikari_sf1.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=2.839803−0.004469128⁢λ2.0+0.03464028⁢λ−2.0+0.001334322⁢λ−4.0−5.451762×10-5⁢λ−6.0+1.214724×10-5⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.839803
C2-0.004469128
C32.0
C40.03464028
C5-2.0
C60.001334322
C7-4.0
C8-5.451762e-05
C9-6.0
C101.214724e-05
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

nd
1.717360
Vd
29.486634
glass code
717295
glass status
preferred
density
value: 4470
thermal expansion
value: 9e-06, temperature range: 243 343
dPgF
0.0032

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
SF1 (HIKARI), SF1: n and k versus wavelength
λ (µm)nk
0.41.7643523.142200e-07
0.4005611.764073.094253e-07
0.4011241.7637893.046238e-07
0.4016871.7635092.998156e-07
0.402251.7632312.950006e-07
0.4028151.7629542.901789e-07
0.403381.7626782.853504e-07
0.4039461.7624042.805152e-07
0.4045131.7621312.756731e-07
0.4050811.7618582.708243e-07
0.405651.7615882.659686e-07
0.4062191.7613182.611062e-07
0.4067891.761052.562369e-07
0.407361.7607832.513608e-07
0.4079321.7605172.464778e-07
0.4085041.7602522.415880e-07
0.4090781.7599882.366913e-07
0.4096521.7597262.317878e-07
0.4102271.7594642.268773e-07
0.4108031.7592042.219600e-07
0.4113791.7589452.170358e-07
0.4119571.7586872.121046e-07
0.4125351.758432.071666e-07
0.4131141.7581752.022216e-07
0.4136941.757921.972697e-07
0.4142741.7576671.923108e-07
0.4148561.7574151.873449e-07
0.4154381.7571631.823721e-07
0.4160211.7569131.773923e-07
0.4166051.7566641.724055e-07
0.417191.7564161.674118e-07
0.4177751.756171.624110e-07
0.4183621.7559241.574032e-07
0.4189491.7556791.523883e-07
0.4195371.7554351.473665e-07
0.421.7552441.434100e-07
0.4201261.7551931.429089e-07
0.4207151.7549511.405558e-07
0.4213061.754711.381995e-07
0.4218971.7544711.358398e-07
0.4224891.7542321.334768e-07
0.4230821.7539951.311105e-07
0.4236761.7537581.287409e-07
0.4242711.7535231.263679e-07
0.4248661.7532881.239917e-07
0.4254621.7530551.216120e-07
0.426061.7528221.192291e-07
0.4266581.752591.168428e-07
0.4272561.752361.144531e-07
0.4278561.752131.120601e-07
0.4284571.7519011.096638e-07
0.4290581.7516741.072641e-07
0.429661.7514471.048610e-07
0.4302631.7512211.024545e-07
0.4308671.7509961.000447e-07
0.4314721.7507729.763144e-08
0.4320771.7505499.521483e-08
0.4326841.7503279.279482e-08
0.4332911.7501069.037142e-08
0.4338991.7498868.794462e-08
0.4345081.7496668.551442e-08
0.4351181.7494488.308080e-08
0.4357291.749238.064376e-08
0.436341.7490137.820331e-08
0.4369531.7487987.575943e-08
0.4375661.7485837.331212e-08
0.438181.7483697.086138e-08
0.4387951.7481556.840720e-08
0.4394111.7479436.594957e-08
0.441.7477416.359900e-08
0.4400281.7477326.354144e-08
0.4406451.7475216.225781e-08
0.4412641.7473116.097237e-08
0.4418831.7471025.968513e-08
0.4425031.7468945.839608e-08
0.4431241.7466875.710523e-08
0.4437461.746485.581256e-08
0.4443691.7462755.451808e-08
0.4449931.746075.322178e-08
0.4456171.7458665.192366e-08
0.4462431.7456635.062372e-08
0.4468691.7454614.932196e-08
0.4474961.7452594.801837e-08
0.4481241.7450584.671295e-08
0.4487531.7448584.540569e-08
0.4493831.7446594.409660e-08
0.4500141.7444614.278568e-08
0.4506451.7442634.147291e-08
0.4512781.7440674.015831e-08
0.4519111.7438713.884185e-08
0.4525461.7436753.752355e-08
0.4531811.7434813.620340e-08
0.4538171.7432873.488140e-08
0.4544541.7430943.355754e-08
0.4550921.7429023.223182e-08
0.455731.742713.090424e-08
0.456371.742522.957480e-08
0.4570111.742332.824349e-08
0.4576521.742142.691032e-08
0.4582941.7419522.557527e-08
0.4589381.7417642.423835e-08
0.4595821.7415772.289955e-08
0.461.7414562.203000e-08
0.4602271.7413912.182363e-08
0.4608731.7412052.123556e-08
0.4615191.741022.064665e-08
0.4621671.7408362.005692e-08
0.4628161.7406531.946636e-08
0.4634651.740471.887498e-08
0.4641161.7402881.828276e-08
0.4647671.7401061.768971e-08
0.465421.7399261.709583e-08
0.4660731.7397461.650112e-08
0.4667271.7395661.590557e-08
0.4673821.7393881.530918e-08
0.4680381.739211.471196e-08
0.4686951.7390321.411390e-08
0.4693531.7388561.351500e-08
0.4700121.738681.291526e-08
0.4706711.7385051.231468e-08
0.4713321.738331.171326e-08
0.4719931.7381561.111099e-08
0.4726561.7379831.050787e-08
0.4733191.737819.903915e-09
0.4739841.7376389.299106e-09
0.4746491.7374678.693450e-09
0.4753151.7372968.086943e-09
0.4759821.7371267.479584e-09
0.476651.7369566.871374e-09
0.4773191.7367876.262309e-09
0.4779891.7366195.652390e-09
0.478661.7364525.041615e-09
0.4793321.7362854.429982e-09
0.481.736123.821600e-09
0.4800051.7361183.821636e-09
0.4806781.7359533.827002e-09
0.4813531.7357883.832376e-09
0.4820281.7356233.837757e-09
0.4827051.7354593.843145e-09
0.4833821.7352963.848541e-09
0.4840611.7351333.853945e-09
0.484741.7349713.859357e-09
0.4854211.734813.864776e-09
0.4861021.7346493.870202e-09
0.4867841.7344883.875636e-09
0.4874671.7343293.881078e-09
0.4881521.734173.886528e-09
0.4888371.7340113.891985e-09
0.4895231.7338533.897450e-09
0.490211.7336963.902922e-09
0.4908981.7335393.908402e-09
0.4915871.7333823.913890e-09
0.4922771.7332273.919385e-09
0.4929681.7330723.924889e-09
0.493661.7329173.930400e-09
0.4943531.7327633.935918e-09
0.4950461.732613.941445e-09
0.4957411.7324573.946979e-09
0.4964371.7323043.952521e-09
0.4971341.7321523.958071e-09
0.4978321.7320013.963628e-09
0.498531.731853.969193e-09
0.499231.73173.974766e-09
0.4999311.7315513.980347e-09
0.51.7315363.980900e-09
0.5006321.7314023.985934e-09
0.5013351.7312533.991529e-09
0.5020391.7311053.997131e-09
0.5027431.7309574.002741e-09
0.5034491.730814.008360e-09
0.5041551.7306644.013986e-09
0.5048631.7305184.019619e-09
0.5055721.7303734.025261e-09
0.5062811.7302284.030911e-09
0.5069921.7300834.036569e-09
0.5077031.7299394.042234e-09
0.5084161.7297964.047908e-09
0.509131.7296534.053589e-09
0.5098441.7295114.059279e-09
0.510561.7293694.064976e-09
0.5112761.7292284.070682e-09
0.5119941.7290874.076395e-09
0.5127121.7289464.082117e-09
0.5134321.7288064.087846e-09
0.5141531.7286674.093584e-09
0.5148741.7285284.099329e-09
0.5155971.728394.105083e-09
0.5163211.7282524.110845e-09
0.5170451.7281144.116614e-09
0.5177711.7279774.122392e-09
0.5184981.7278414.128178e-09
0.5192251.7277054.133973e-09
0.5199541.7275694.139775e-09
0.5206841.7274344.145585e-09
0.5214151.72734.151404e-09
0.5221471.7271654.157231e-09
0.5228791.7270324.163066e-09
0.5236131.7268994.168909e-09
0.5243481.7267664.174760e-09
0.5250841.7266344.180620e-09
0.5258211.7265024.186487e-09
0.5265591.726374.192363e-09
0.5272981.7262394.198248e-09
0.5280381.7261094.204140e-09
0.5287791.7259794.210041e-09
0.5295211.7258494.215950e-09
0.5302651.725724.221867e-09
0.5310091.7255914.227793e-09
0.5317541.7254634.233727e-09
0.5325011.7253354.239669e-09
0.5332481.7252084.245620e-09
0.5339961.7250814.251579e-09
0.5347461.7249554.257546e-09
0.5354961.7248284.263522e-09
0.5362481.7247034.269506e-09
0.5370011.7245784.275499e-09
0.5377541.7244534.281500e-09
0.5385091.7243284.287509e-09
0.5392651.7242044.293527e-09
0.5400221.7240814.299553e-09
0.540781.7239584.305588e-09
0.5415391.7238354.311631e-09
0.5422991.7237134.317682e-09
0.543061.7235914.323743e-09
0.5438221.723474.329811e-09
0.5445851.7233484.335888e-09
0.545351.7232284.341974e-09
0.5461151.7231084.348068e-09
0.5468821.7229884.354171e-09
0.5476491.7228684.360282e-09
0.5484181.7227494.366402e-09
0.5491871.7226314.372531e-09
0.5499581.7225134.378668e-09
0.551.7225064.379000e-09
0.550731.7223954.384812e-09
0.5515031.7222774.390965e-09
0.5522771.722164.397126e-09
0.5530521.7220444.403297e-09
0.5538291.7219274.409475e-09
0.5546061.7218114.415663e-09
0.5553841.7216964.421859e-09
0.5561641.7215814.428064e-09
0.5569441.7214664.434277e-09
0.5577261.7213524.440499e-09
0.5585091.7212384.446730e-09
0.5592931.7211244.452970e-09
0.5600781.7210114.459219e-09
0.5608641.7208984.465476e-09
0.5616511.7207864.471742e-09
0.5624391.7206744.478017e-09
0.5632291.7205624.484300e-09
0.5640191.7204514.490593e-09
0.5648111.720344.496894e-09
0.5656041.7202294.503204e-09
0.5663971.7201194.509523e-09
0.5671921.7200094.515851e-09
0.5679881.7198994.522188e-09
0.5687861.719794.528533e-09
0.5695841.7196824.534888e-09
0.5703831.7195734.541251e-09
0.5711841.7194654.547624e-09
0.5719861.7193574.554005e-09
0.5727881.719254.560395e-09
0.5735921.7191434.566795e-09
0.5743971.7190364.573203e-09
0.5752041.718934.579620e-09
0.5760111.7188244.586046e-09
0.5768191.7187184.592481e-09
0.5776291.7186134.598926e-09
0.578441.7185084.605379e-09
0.5792511.7184034.611841e-09
0.5800641.7182994.618313e-09
0.5808791.7181954.624793e-09
0.5816941.7180924.631283e-09
0.582511.7179884.637782e-09
0.5833281.7178864.644290e-09
0.5841471.7177834.650807e-09
0.5849661.7176814.657333e-09
0.5857871.7175794.663868e-09
0.586611.7174774.670413e-09
0.5874331.7173764.676966e-09
0.5882571.7172754.683529e-09
0.5890831.7171744.690101e-09
0.589911.7170744.696682e-09
0.5907381.7169744.703273e-09
0.5915671.7168754.709873e-09
0.5923971.7167754.716482e-09
0.5932291.7166764.723100e-09
0.5940611.7165784.729728e-09
0.5948951.7164794.736365e-09
0.595731.7163814.743011e-09
0.5965661.7162834.749666e-09
0.5974031.7161864.756331e-09
0.5982421.7160894.763006e-09
0.5990821.7159924.769689e-09
0.5999221.7158964.776382e-09
0.61.7158874.777000e-09
0.6007641.71584.783086e-09
0.6016081.7157044.789800e-09
0.6024521.7156084.796523e-09
0.6032981.7155134.803255e-09
0.6041441.7154184.809997e-09
0.6049921.7153234.816748e-09
0.6058411.7152294.823509e-09
0.6066921.7151354.830279e-09
0.6075431.7150414.837059e-09
0.6083961.7149484.843848e-09
0.609251.7148554.850647e-09
0.6101051.7147624.857455e-09
0.6109611.7146694.864273e-09
0.6118191.7145774.871100e-09
0.6126771.7144854.877937e-09
0.6135371.7143934.884784e-09
0.6143981.7143024.891640e-09
0.6152611.7142114.898506e-09
0.6161241.714124.905381e-09
0.6169891.7140294.912266e-09
0.6178551.7139394.919161e-09
0.6187221.7138494.926066e-09
0.6195911.7137594.932980e-09
0.620461.713674.939904e-09
0.6213311.7135814.946837e-09
0.6222031.7134924.953781e-09
0.6230761.7134044.960734e-09
0.6239511.7133154.967697e-09
0.6248271.7132274.974669e-09
0.6257041.713144.981652e-09
0.6265821.7130524.988644e-09
0.6274611.7129654.995646e-09
0.6283421.7128785.002658e-09
0.6292241.7127915.009679e-09
0.6301071.7127055.016711e-09
0.6309911.7126195.023752e-09
0.6318771.7125335.030803e-09
0.6327641.7124485.037865e-09
0.6336521.7123625.044936e-09
0.6345411.7122775.052017e-09
0.6354321.7121925.059108e-09
0.6363241.7121085.066208e-09
0.6372171.7120245.073319e-09
0.6381111.711945.080440e-09
0.6390071.7118565.087571e-09
0.6399041.7117735.094712e-09
0.6408021.7116895.101863e-09
0.6417011.7116065.109024e-09
0.6426021.7115245.116194e-09
0.6435041.7114415.123375e-09
0.6444071.7113595.130567e-09
0.6453111.7112775.137768e-09
0.6462171.7111965.144979e-09
0.6471241.7111145.152200e-09
0.6480321.7110335.159432e-09
0.6489421.7109525.166674e-09
0.6498521.7108725.173926e-09
0.651.7108595.175100e-09
0.6507651.7107915.181188e-09
0.6516781.7107115.188460e-09
0.6525931.7106315.195742e-09
0.6535091.7105515.203035e-09
0.6544261.7104725.210338e-09
0.6553441.7103935.217651e-09
0.6562641.7103145.224974e-09
0.6571851.7102355.232308e-09
0.6581081.7101575.239652e-09
0.6590311.7100795.247006e-09
0.6599561.7100015.254371e-09
0.6608821.7099235.261746e-09
0.661811.7098455.269131e-09
0.6627391.7097685.276527e-09
0.6636691.7096915.283933e-09
0.6646011.7096145.291349e-09
0.6655331.7095385.298776e-09
0.6664671.7094615.306213e-09
0.6674031.7093855.313661e-09
0.668341.7093095.321119e-09
0.6692781.7092345.328588e-09
0.6702171.7091585.336067e-09
0.6711581.7090835.343557e-09
0.67211.7090085.351057e-09
0.6730431.7089345.358567e-09
0.6739881.7088595.366089e-09
0.6749331.7087855.373620e-09
0.6758811.7087115.381163e-09
0.6768291.7086375.388716e-09
0.6777791.7085635.396279e-09
0.6787311.708495.403853e-09
0.6796831.7084175.411438e-09
0.6806371.7083445.419033e-09
0.6815921.7082715.426639e-09
0.6825491.7081995.434256e-09
0.6835071.7081275.441884e-09
0.6844661.7080545.449522e-09
0.6854271.7079835.457171e-09
0.6863891.7079115.464830e-09
0.6873521.707845.472500e-09
0.6883171.7077685.480182e-09
0.6892831.7076975.487873e-09
0.6902511.7076275.495576e-09
0.6912191.7075565.503290e-09
0.692191.7074865.511014e-09
0.6931611.7074165.518749e-09
0.6941341.7073465.526495e-09
0.6951081.7072765.534252e-09
0.6960841.7072075.542020e-09
0.6970611.7071375.549798e-09
0.6980391.7070685.557588e-09
0.6990191.7069995.565389e-09
0.71.7069315.573200e-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
—