Optical constants

Refractive index of SF03 (HIKARI)

SF03: 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
1.84665
Extinction coefficient k
4.67830e-09
Permittivity ε1
3.41013
Permittivity ε2
1.72784e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
23.884
Chromatic dispersion dn/dλ
-0.177117 µm⁻¹
Group index ng
1.95073
Group velocity dispersion
370.782 fs²/mm
Dispersion parameter D
-2022.81 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

# SF03 (HIKARI): SF03
hikari_sf03 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "SF03", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_sf03.range_nm)  # (400, 700) nm
eps = hikari_sf03.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=3.261335−0.01832792⁢λ2.0+0.0415517⁢λ−2.0+0.00494909⁢λ−4.0−0.0003884548⁢λ−6.0+3.837014×10-5⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C13.261335
C2-0.01832792
C32.0
C40.0415517
C5-2.0
C60.00494909
C7-4.0
C8-0.0003884548
C9-6.0
C103.837014e-05
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

nd
1.846660
Vd
23.884051
glass code
847239
glass status
preferred
density
value: 5520
thermal expansion
value: 9.2e-06, temperature range: 243 343
dPgF
0.0118

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
SF03 (HIKARI), SF03: n and k versus wavelength
λ (µm)nk
0.41.9170644.800800e-07
0.4005611.9166274.720105e-07
0.4011241.9161924.639298e-07
0.4016871.9157594.558376e-07
0.402251.9153294.477342e-07
0.4028151.91494.396193e-07
0.403381.9144744.314931e-07
0.4039461.9140494.233554e-07
0.4045131.9136274.152064e-07
0.4050811.9132074.070458e-07
0.405651.9127893.988739e-07
0.4062191.9123733.906905e-07
0.4067891.9119593.824955e-07
0.407361.9115473.742891e-07
0.4079321.9111363.660712e-07
0.4085041.9107283.578417e-07
0.4090781.9103223.496007e-07
0.4096521.9099183.413481e-07
0.4102271.9095163.330839e-07
0.4108031.9091153.248082e-07
0.4113791.9087173.165208e-07
0.4119571.908323.082218e-07
0.4125351.9079262.999111e-07
0.4131141.9075332.915888e-07
0.4136941.9071422.832548e-07
0.4142741.9067532.749091e-07
0.4148561.9063662.665517e-07
0.4154381.905982.581825e-07
0.4160211.9055972.498016e-07
0.4166051.9052152.414090e-07
0.417191.9048352.330045e-07
0.4177751.9044572.245883e-07
0.4183621.904082.161602e-07
0.4189491.9037062.077204e-07
0.4195371.9033331.992686e-07
0.421.903041.926100e-07
0.4201261.9029611.920024e-07
0.4207151.9025921.891493e-07
0.4213061.9022241.862921e-07
0.4218971.9018581.834310e-07
0.4224891.9014931.805659e-07
0.4230821.901131.776967e-07
0.4236761.9007691.748235e-07
0.4242711.900411.719462e-07
0.4248661.9000521.690650e-07
0.4254621.8996961.661797e-07
0.426061.8993411.632903e-07
0.4266581.8989881.603969e-07
0.4272561.8986371.574994e-07
0.4278561.8982871.545978e-07
0.4284571.8979391.516922e-07
0.4290581.8975921.487825e-07
0.429661.8972471.458687e-07
0.4302631.8969031.429509e-07
0.4308671.8965611.400289e-07
0.4314721.8962211.371028e-07
0.4320771.8958821.341726e-07
0.4326841.8955441.312384e-07
0.4332911.8952081.283000e-07
0.4338991.8948741.253574e-07
0.4345081.8945411.224108e-07
0.4351181.8942091.194600e-07
0.4357291.8938791.165050e-07
0.436341.893551.135459e-07
0.4369531.8932231.105827e-07
0.4375661.8928971.076153e-07
0.438181.8925731.046437e-07
0.4387951.892251.016680e-07
0.4394111.8919289.868810e-08
0.441.8916239.583800e-08
0.4400281.8916089.578705e-08
0.4406451.8912899.465084e-08
0.4412641.8909729.351303e-08
0.4418831.8906569.237362e-08
0.4425031.8903419.123261e-08
0.4431241.8900289.009001e-08
0.4437461.8897168.894580e-08
0.4443691.8894068.779998e-08
0.4449931.8890968.665255e-08
0.4456171.8887898.550352e-08
0.4462431.8884828.435287e-08
0.4468691.8881778.320061e-08
0.4474961.8878738.204673e-08
0.4481241.887578.089123e-08
0.4487531.8872697.973411e-08
0.4493831.8869687.857536e-08
0.4500141.886677.741499e-08
0.4506451.8863727.625299e-08
0.4512781.8860767.508936e-08
0.4519111.885787.392409e-08
0.4525461.8854877.275719e-08
0.4531811.8851947.158865e-08
0.4538171.8849037.041848e-08
0.4544541.8846126.924666e-08
0.4550921.8843236.807319e-08
0.455731.8840366.689808e-08
0.456371.8837496.572132e-08
0.4570111.8834646.454290e-08
0.4576521.8831796.336284e-08
0.4582941.8828966.218111e-08
0.4589381.8826156.099773e-08
0.4595821.8823345.981269e-08
0.461.8821525.904300e-08
0.4602271.8820545.872156e-08
0.4608731.8817765.780555e-08
0.4615191.8814995.688825e-08
0.4621671.8812235.596967e-08
0.4628161.8809485.504980e-08
0.4634651.8806745.412863e-08
0.4641161.8804015.320618e-08
0.4647671.880135.228243e-08
0.465421.8798595.135738e-08
0.4660731.879595.043103e-08
0.4667271.8793224.950339e-08
0.4673821.8790544.857444e-08
0.4680381.8787884.764419e-08
0.4686951.8785234.671263e-08
0.4693531.8782594.577976e-08
0.4700121.8779964.484559e-08
0.4706711.8777344.391010e-08
0.4713321.8774744.297330e-08
0.4719931.8772144.203519e-08
0.4726561.8769554.109576e-08
0.4733191.8766984.015501e-08
0.4739841.8764413.921294e-08
0.4746491.8761853.826955e-08
0.4753151.8759313.732484e-08
0.4759821.8756773.637880e-08
0.476651.8754253.543143e-08
0.4773191.8751733.448273e-08
0.4779891.8749223.353270e-08
0.478661.8746733.258134e-08
0.4793321.8744243.162864e-08
0.481.8741783.068100e-08
0.4800051.8741773.067858e-08
0.4806781.873933.031690e-08
0.4813531.8736842.995472e-08
0.4820281.873442.959203e-08
0.4827051.8731962.922882e-08
0.4833821.8729532.886511e-08
0.4840611.8727112.850089e-08
0.484741.8724712.813616e-08
0.4854211.8722312.777091e-08
0.4861021.8719922.740516e-08
0.4867841.8717542.703889e-08
0.4874671.8715172.667210e-08
0.4881521.871282.630480e-08
0.4888371.8710452.593699e-08
0.4895231.8708112.556866e-08
0.490211.8705772.519981e-08
0.4908981.8703452.483044e-08
0.4915871.8701132.446056e-08
0.4922771.8698822.409015e-08
0.4929681.8696522.371923e-08
0.493661.8694232.334779e-08
0.4943531.8691952.297582e-08
0.4950461.8689682.260334e-08
0.4957411.8687422.223033e-08
0.4964371.8685162.185679e-08
0.4971341.8682922.148273e-08
0.4978321.8680682.110815e-08
0.498531.8678452.073304e-08
0.499231.8676232.035741e-08
0.4999311.8674021.998125e-08
0.51.867381.994400e-08
0.5006321.8671811.974717e-08
0.5013351.8669621.952843e-08
0.5020391.8667431.930939e-08
0.5027431.8665251.909004e-08
0.5034491.8663081.887038e-08
0.5041551.8660921.865042e-08
0.5048631.8658761.843014e-08
0.5055721.8656621.820956e-08
0.5062811.8654481.798866e-08
0.5069921.8652351.776746e-08
0.5077031.8650231.754594e-08
0.5084161.8648111.732412e-08
0.509131.8646011.710198e-08
0.5098441.8643911.687953e-08
0.510561.8641821.665677e-08
0.5112761.8639741.643370e-08
0.5119941.8637661.621031e-08
0.5127121.863561.598661e-08
0.5134321.8633541.576260e-08
0.5141531.8631481.553827e-08
0.5148741.8629441.531363e-08
0.5155971.862741.508867e-08
0.5163211.8625381.486340e-08
0.5170451.8623351.463781e-08
0.5177711.8621341.441190e-08
0.5184981.8619331.418568e-08
0.5192251.8617341.395914e-08
0.5199541.8615341.373228e-08
0.5206841.8613361.350510e-08
0.5214151.8611381.327760e-08
0.5221471.8609411.304979e-08
0.5228791.8607451.282165e-08
0.5236131.860551.259319e-08
0.5243481.8603551.236442e-08
0.5250841.8601611.213532e-08
0.5258211.8599671.190590e-08
0.5265591.8597751.167616e-08
0.5272981.8595831.144610e-08
0.5280381.8593921.121571e-08
0.5287791.8592011.098500e-08
0.5295211.8590111.075397e-08
0.5302651.8588221.052261e-08
0.5310091.8586341.029093e-08
0.5317541.8584461.005892e-08
0.5325011.8582599.826584e-09
0.5332481.8580729.593925e-09
0.5339961.8578869.360939e-09
0.5347461.8577019.127626e-09
0.5354961.8575178.893985e-09
0.5362481.8573338.660017e-09
0.5370011.857158.425720e-09
0.5377541.8569688.191094e-09
0.5385091.8567867.956139e-09
0.5392651.8566057.720854e-09
0.5400221.8564247.485239e-09
0.540781.8562447.249294e-09
0.5415391.8560657.013017e-09
0.5422991.8558876.776409e-09
0.543061.8557096.539468e-09
0.5438221.8555316.302195e-09
0.5445851.8553556.064589e-09
0.545351.8551795.826649e-09
0.5461151.8550035.588376e-09
0.5468821.8548295.349768e-09
0.5476491.8546555.110825e-09
0.5484181.8544814.871547e-09
0.5491871.8543084.631933e-09
0.5499581.8541364.391982e-09
0.551.8541274.379000e-09
0.550731.8539644.384812e-09
0.5515031.8537934.390965e-09
0.5522771.8536234.397126e-09
0.5530521.8534534.403297e-09
0.5538291.8532844.409475e-09
0.5546061.8531154.415663e-09
0.5553841.8529474.421859e-09
0.5561641.8527794.428064e-09
0.5569441.8526134.434277e-09
0.5577261.8524464.440499e-09
0.5585091.8522814.446730e-09
0.5592931.8521154.452970e-09
0.5600781.8519514.459219e-09
0.5608641.8517874.465476e-09
0.5616511.8516234.471742e-09
0.5624391.8514614.478017e-09
0.5632291.8512984.484300e-09
0.5640191.8511374.490593e-09
0.5648111.8509754.496894e-09
0.5656041.8508154.503204e-09
0.5663971.8506554.509523e-09
0.5671921.8504954.515851e-09
0.5679881.8503374.522188e-09
0.5687861.8501784.528533e-09
0.5695841.850024.534888e-09
0.5703831.8498634.541251e-09
0.5711841.8497064.547624e-09
0.5719861.849554.554005e-09
0.5727881.8493954.560395e-09
0.5735921.8492394.566795e-09
0.5743971.8490854.573203e-09
0.5752041.8489314.579620e-09
0.5760111.8487774.586046e-09
0.5768191.8486244.592481e-09
0.5776291.8484724.598926e-09
0.578441.848324.605379e-09
0.5792511.8481694.611841e-09
0.5800641.8480184.618313e-09
0.5808791.8478674.624793e-09
0.5816941.8477184.631283e-09
0.582511.8475684.637782e-09
0.5833281.8474194.644290e-09
0.5841471.8472714.650807e-09
0.5849661.8471234.657333e-09
0.5857871.8469764.663868e-09
0.586611.8468294.670413e-09
0.5874331.8466834.676966e-09
0.5882571.8465374.683529e-09
0.5890831.8463924.690101e-09
0.589911.8462474.696682e-09
0.5907381.8461024.703273e-09
0.5915671.8459594.709873e-09
0.5923971.8458154.716482e-09
0.5932291.8456724.723100e-09
0.5940611.845534.729728e-09
0.5948951.8453884.736365e-09
0.595731.8452474.743011e-09
0.5965661.8451064.749666e-09
0.5974031.8449654.756331e-09
0.5982421.8448254.763006e-09
0.5990821.8446864.769689e-09
0.5999221.8445464.776382e-09
0.61.8445344.777000e-09
0.6007641.8444084.783086e-09
0.6016081.844274.789800e-09
0.6024521.8441324.796523e-09
0.6032981.8439954.803255e-09
0.6041441.8438584.809997e-09
0.6049921.8437224.816748e-09
0.6058411.8435864.823509e-09
0.6066921.843454.830279e-09
0.6075431.8433154.837059e-09
0.6083961.8431814.843848e-09
0.609251.8430474.850647e-09
0.6101051.8429134.857455e-09
0.6109611.842784.864273e-09
0.6118191.8426474.871100e-09
0.6126771.8425154.877937e-09
0.6135371.8423834.884784e-09
0.6143981.8422524.891640e-09
0.6152611.8421214.898506e-09
0.6161241.841994.905381e-09
0.6169891.841864.912266e-09
0.6178551.841734.919161e-09
0.6187221.8416014.926066e-09
0.6195911.8414724.932980e-09
0.620461.8413444.939904e-09
0.6213311.8412164.946837e-09
0.6222031.8410884.953781e-09
0.6230761.8409614.960734e-09
0.6239511.8408344.967697e-09
0.6248271.8407084.974669e-09
0.6257041.8405824.981652e-09
0.6265821.8404564.988644e-09
0.6274611.8403314.995646e-09
0.6283421.8402065.002658e-09
0.6292241.8400825.009679e-09
0.6301071.8399585.016711e-09
0.6309911.8398355.023752e-09
0.6318771.8397125.030803e-09
0.6327641.8395895.037865e-09
0.6336521.8394675.044936e-09
0.6345411.8393455.052017e-09
0.6354321.8392235.059108e-09
0.6363241.8391025.066208e-09
0.6372171.8389815.073319e-09
0.6381111.8388615.080440e-09
0.6390071.8387415.087571e-09
0.6399041.8386215.094712e-09
0.6408021.8385025.101863e-09
0.6417011.8383835.109024e-09
0.6426021.8382655.116194e-09
0.6435041.8381475.123375e-09
0.6444071.8380295.130567e-09
0.6453111.8379125.137768e-09
0.6462171.8377955.144979e-09
0.6471241.8376795.152200e-09
0.6480321.8375625.159432e-09
0.6489421.8374475.166674e-09
0.6498521.8373315.173926e-09
0.651.8373135.175100e-09
0.6507651.8372165.095964e-09
0.6516781.8371015.001429e-09
0.6525931.8369874.906761e-09
0.6535091.8368734.811960e-09
0.6544261.8367594.717026e-09
0.6553441.8366464.621959e-09
0.6562641.8365334.526758e-09
0.6571851.8364214.431424e-09
0.6581081.8363094.335956e-09
0.6590311.8361974.240354e-09
0.6599561.8360854.144617e-09
0.6608821.8359744.048747e-09
0.661811.8358633.952742e-09
0.6627391.8357533.856602e-09
0.6636691.8356433.760327e-09
0.6646011.8355333.663917e-09
0.6655331.8354243.567372e-09
0.6664671.8353143.470691e-09
0.6674031.8352063.373874e-09
0.668341.8350973.276922e-09
0.6692781.8349893.179834e-09
0.6702171.8348823.082609e-09
0.6711581.8347742.985248e-09
0.67211.8346672.887750e-09
0.6730431.834562.790115e-09
0.6739881.8344542.692343e-09
0.6749331.8343482.594435e-09
0.6758811.8342422.496388e-09
0.6768291.8341372.398204e-09
0.6777791.8340322.299883e-09
0.6787311.8339272.201423e-09
0.6796831.8338232.102825e-09
0.6806371.8337182.004089e-09
0.6815921.8336151.905214e-09
0.6825491.8335111.806200e-09
0.6835071.8334081.707047e-09
0.6844661.8333051.607755e-09
0.6854271.8332031.508324e-09
0.6863891.83311.408754e-09
0.6873521.8329981.309043e-09
0.6883171.8328971.209193e-09
0.6892831.8327961.109202e-09
0.6902511.8326951.009071e-09
0.6912191.8325949.087998e-10
0.692191.8324948.083876e-10
0.6931611.8323937.078345e-10
0.6941341.8322946.071402e-10
0.6951081.8321945.063047e-10
0.6960841.8320954.053276e-10
0.6970611.8319963.042088e-10
0.6980391.8318982.029480e-10
0.6990191.8317991.015452e-10
0.71.8317010

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
—