Optical constants

Refractive index of P-SF68 (SCHOTT)

P-SF68: n,k 0.42–2.5 µm

Data
formula 2 + tabulated k
Range
0.42–2.5 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.42–2.5 µm
Refractive index n
2.00519
Extinction coefficient k
4.65989e-08
Permittivity ε1
4.02079
Permittivity ε2
1.86879e-07
Absorption coefficient α
0.0099656 cm⁻¹
Penetration depth δ = λ/(2πk)
2.00690e+09 nm
Abbe number Vd
21
Chromatic dispersion dn/dλ
-0.23706 µm⁻¹
Group index ng
2.14449
Group velocity dispersion
511.819 fs²/mm
Dispersion parameter D
-2792.25 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

# P-SF68 (SCHOTT): P-SF68
schott_p_sf68 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "P-SF68", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_p_sf68.range_nm)  # (420, 2500) nm
eps = schott_p_sf68.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

Sellmeier (C in µm²) (formula 2), λ in µm
n2−1=2.3330067λ2λ2−0.0168838419+0.452961396λ2λ2−0.0716086325+1.25172339λ2λ2−118.707479

Valid from 0.42 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C22.3330067
C30.0168838419
C40.452961396
C50.0716086325
C61.25172339
C7118.707479

Comments and conditions

suitable for precision molding

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 1.55e-05 2.3e-08 -3.46e-11 2.76e-06 2.93e-09 0.297
nd
2.0052
Vd
21
glass status
standard
density
value: 6194
thermal expansion
value: 8.43e-06, temperature range: 243 343; value: 9.67e-06, temperature range: 293 573
dPgF
0.0308
resistance
acid: 53.3; stain: 5.0; alkali: 2.3; climatic: 1.0; phosphate: 2.3

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.82e-05 K⁻¹ at 633 nm, dn/dT = 1.24e-05 K⁻¹ at 1310 nm, dn/dT = 1.20e-05 K⁻¹ at 1550 nm

References

Cite

SCHOTT Zemax catalog 2017-01-20b (obtained from http://www.schott.com); See also SCHOTT 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 412 wavelengths, the same grid as the API and the library
P-SF68 (SCHOTT), P-SF68: n and k versus wavelength
λ (µm)nk
0.422.0834034.005000e-06
0.4218822.0817093.760226e-06
0.4237722.0800433.514356e-06
0.4256712.0784053.267384e-06
0.4275782.0767923.019305e-06
0.4294942.0752062.770115e-06
0.4314192.0736452.519809e-06
0.4333522.0721082.268380e-06
0.4352932.0705962.015826e-06
0.4362.0700531.923900e-06
0.4372442.0691071.876797e-06
0.4392032.0676421.802594e-06
0.4411712.0661991.728059e-06
0.4431472.0647781.653190e-06
0.4451332.0633781.577986e-06
0.4471282.0619991.502444e-06
0.4491312.0606421.426565e-06
0.4511432.0593041.350345e-06
0.4531652.0579861.273783e-06
0.4551952.0566871.196879e-06
0.4572352.0554071.119630e-06
0.4592842.0541461.042035e-06
0.462.0537111.014900e-06
0.4613412.0529039.941255e-07
0.4634092.0516789.621131e-07
0.4654852.050479.299573e-07
0.4675712.0492798.976574e-07
0.4696662.0481058.652127e-07
0.471772.0469478.326227e-07
0.4738842.0458057.998867e-07
0.4760072.044687.670040e-07
0.478142.0435697.339740e-07
0.4802822.0424747.007959e-07
0.4824342.0413936.674692e-07
0.4845962.0403286.339932e-07
0.4867672.0392766.003672e-07
0.4889482.0382395.665905e-07
0.4911392.0372155.326625e-07
0.493342.0362054.985824e-07
0.495552.0352084.643497e-07
0.4977712.0342254.299635e-07
0.52.0332543.954400e-07
0.5000012.0332543.954333e-07
0.5022412.0322963.814117e-07
0.5044922.031353.673273e-07
0.5067522.0304163.531798e-07
0.5090232.0294943.389688e-07
0.5113042.0285843.246943e-07
0.5135952.0276863.103557e-07
0.5158962.0267992.959529e-07
0.5182072.0259232.814856e-07
0.5205292.0250572.669535e-07
0.5228622.0242032.523562e-07
0.5252042.023362.376935e-07
0.5275582.0225262.229652e-07
0.5299212.0217032.081708e-07
0.5322962.020891.933102e-07
0.5346812.0200871.783830e-07
0.5370772.0192941.633888e-07
0.5394832.0185111.483275e-07
0.54192.0177361.331988e-07
0.5443282.0169721.180022e-07
0.5462.0164521.075400e-07
0.5467672.0162161.062534e-07
0.5492172.0154691.021458e-07
0.5516782.0147319.801972e-08
0.554152.0140029.387517e-08
0.5566332.0132828.971205e-08
0.5591272.0125698.553028e-08
0.5616322.0118668.132977e-08
0.5641492.011177.711044e-08
0.5666762.0104837.287220e-08
0.5692162.0098036.861498e-08
0.5717662.0091316.433868e-08
0.5743282.0084686.004321e-08
0.5769012.0078115.572850e-08
0.5794862.0071625.139446e-08
0.582.0070355.053300e-08
0.5820832.0065214.945490e-08
0.5846912.0058874.810480e-08
0.5873112.0052594.674866e-08
0.5899422.0046394.538645e-08
0.5925852.0040264.401812e-08
0.5952412.003424.264367e-08
0.5979082.0028214.126306e-08
0.6005872.0022283.987627e-08
0.6032782.0016423.848326e-08
0.6059812.0010623.708400e-08
0.6086962.0004893.567848e-08
0.6114231.9999223.426666e-08
0.6141631.9993613.284852e-08
0.6169151.9988063.142402e-08
0.6196791.9982572.999314e-08
0.621.9981942.982700e-08
0.6224561.9977142.942244e-08
0.6252451.9971772.896295e-08
0.6280461.9966462.850140e-08
0.630861.9961212.803778e-08
0.6336871.9956012.757209e-08
0.6365261.9950872.710430e-08
0.6393781.9945782.663443e-08
0.6422431.9940742.616245e-08
0.6451211.9935762.568835e-08
0.6480111.9930842.521213e-08
0.6509151.9925962.473377e-08
0.6538311.9921132.425327e-08
0.6567611.9916362.377062e-08
0.6597041.9911632.328581e-08
0.661.9911162.323700e-08
0.662661.9906962.273266e-08
0.6656291.9902332.216964e-08
0.6686111.9897752.160409e-08
0.6716071.9893222.103601e-08
0.6746161.9888732.046538e-08
0.6776391.9884291.989219e-08
0.6806751.9879891.931644e-08
0.6837251.9875541.873811e-08
0.6867891.9871241.815718e-08
0.6898661.9866981.757366e-08
0.6929571.9862761.698751e-08
0.6960621.9858581.639875e-08
0.6991811.9854441.580734e-08
0.71.9853371.565200e-08
0.7023141.9850351.559482e-08
0.705461.984631.551705e-08
0.7086211.9842281.543893e-08
0.7117961.9838311.536046e-08
0.7149861.9834381.528164e-08
0.7181891.9830481.520246e-08
0.7214071.9826631.512294e-08
0.724641.9822811.504305e-08
0.7278871.9819031.496281e-08
0.7311481.9815281.488220e-08
0.7344241.9811571.480124e-08
0.7377151.980791.471991e-08
0.741021.9804271.463822e-08
0.744341.9800661.455616e-08
0.7476761.979711.447374e-08
0.7510261.9793561.439094e-08
0.7543911.9790071.430778e-08
0.7577711.978661.422424e-08
0.7611661.9783171.414033e-08
0.7645771.9779771.405604e-08
0.7680031.977641.397137e-08
0.7714441.9773061.388633e-08
0.77491.9769761.380090e-08
0.7783721.9766481.371509e-08
0.781861.9763241.362890e-08
0.7853631.9760021.354232e-08
0.7888821.9756841.345535e-08
0.7924171.9753681.336799e-08
0.7959681.9750561.328024e-08
0.7995341.9747461.319210e-08
0.8031161.9744391.310356e-08
0.8067151.9741351.301463e-08
0.810331.9738341.292530e-08
0.813961.9735351.283557e-08
0.8176071.9732391.274543e-08
0.8212711.9729461.265489e-08
0.8249511.9726561.256395e-08
0.8286471.9723681.247260e-08
0.832361.9720821.238084e-08
0.8360891.9717991.228866e-08
0.8398361.9715191.219608e-08
0.8435991.9712411.210308e-08
0.8473791.9709651.200966e-08
0.8511751.9706921.191583e-08
0.8549891.9704221.182157e-08
0.858821.9701531.172689e-08
0.8626681.9698871.163179e-08
0.8665341.9696231.153626e-08
0.8704161.9693621.144031e-08
0.8743161.9691031.134392e-08
0.8782341.9688461.124710e-08
0.8821691.9685911.114985e-08
0.8861221.9683381.105216e-08
0.8900921.9680871.095404e-08
0.894081.9678391.085547e-08
0.8980861.9675921.075646e-08
0.902111.9673481.065701e-08
0.9061521.9671061.055712e-08
0.9102121.9668651.045678e-08
0.9142911.9666271.035598e-08
0.9183871.9663911.025474e-08
0.9225021.9661561.015304e-08
0.9266361.9659231.005088e-08
0.9307881.9656939.948273e-09
0.9349581.9654649.845201e-09
0.9391481.9652379.741668e-09
0.9433561.9650119.637671e-09
0.9475821.9647889.533207e-09
0.9518281.9645669.428276e-09
0.9560931.9643469.322874e-09
0.9603771.9641289.217001e-09
0.964681.9639119.110652e-09
0.9690021.9636969.003828e-09
0.9733441.9634838.896524e-09
0.9777051.9632718.788740e-09
0.9820861.9630618.680473e-09
0.9864871.9628538.571721e-09
0.9909071.9626468.462482e-09
0.9953471.9624418.352753e-09
0.9998061.9622378.242532e-09
1.004291.9620348.131818e-09
1.008791.9618338.020607e-09
1.013311.9616347.908898e-09
1.017851.9614367.796689e-09
1.022411.961247.683977e-09
1.026991.9610447.570760e-09
1.031591.9608517.457036e-09
1.036211.9606587.342802e-09
1.040851.9604677.228056e-09
1.045521.9602787.112796e-09
1.05021.9600896.997019e-09
1.054911.9599026.880724e-09
1.059641.9597166.763908e-09
1.061.9597026.754900e-09
1.064381.9595327.148398e-09
1.069151.9593487.576526e-09
1.073941.9591668.006573e-09
1.078761.9589858.438546e-09
1.083591.9588068.872455e-09
1.088441.9586279.308307e-09
1.093321.958459.746113e-09
1.098221.9582731.018588e-08
1.103141.9580981.062762e-08
1.108081.9579241.107134e-08
1.113051.9577511.151704e-08
1.118041.9575791.196474e-08
1.123041.9574081.241445e-08
1.128081.9572381.286618e-08
1.133131.957071.331992e-08
1.138211.9569021.377570e-08
1.143311.9567351.423353e-08
1.148431.9565691.469340e-08
1.153581.9564041.515534e-08
1.158751.956241.561934e-08
1.163941.9560771.608542e-08
1.169151.9559151.655360e-08
1.174391.9557541.702386e-08
1.179651.9555941.749624e-08
1.184941.9554341.797073e-08
1.190251.9552761.844735e-08
1.195581.9551181.892611e-08
1.200941.9549611.940701e-08
1.206321.9548051.989006e-08
1.211721.954652.037528e-08
1.217151.9544952.086268e-08
1.222611.9543412.135225e-08
1.228091.9541882.184402e-08
1.233591.9540362.233800e-08
1.239121.9538842.283419e-08
1.244671.9537342.333260e-08
1.250241.9535832.383324e-08
1.255851.9534342.433613e-08
1.261471.9532852.484127e-08
1.267131.9531372.534867e-08
1.27281.9529892.585835e-08
1.278511.9528422.637031e-08
1.284231.9526962.688456e-08
1.289991.9525512.740112e-08
1.295771.9524052.792000e-08
1.301581.9522612.844120e-08
1.307411.9521172.896473e-08
1.313271.9519742.949061e-08
1.319151.9518313.001885e-08
1.325061.9516883.054945e-08
1.3311.9515473.108243e-08
1.336961.9514053.161780e-08
1.342951.9512643.215556e-08
1.348971.9511243.269574e-08
1.355011.9509843.323834e-08
1.361081.9508453.378337e-08
1.367181.9507063.433084e-08
1.373311.9505673.488076e-08
1.379461.9504293.543315e-08
1.385641.9502913.598801e-08
1.391851.9501543.654536e-08
1.398091.9500173.710520e-08
1.404351.949883.766756e-08
1.410641.9497443.823243e-08
1.416971.9496083.879984e-08
1.423311.9494723.936979e-08
1.429691.9493373.994229e-08
1.43611.9492024.051735e-08
1.442531.9490674.109500e-08
1.4491.9489324.167523e-08
1.455491.9487984.225806e-08
1.462011.9486644.284350e-08
1.468561.948534.343157e-08
1.475141.9483974.402227e-08
1.481751.9482644.461562e-08
1.488391.9481314.521162e-08
1.495061.9479984.581030e-08
1.501761.9478654.641166e-08
1.508491.9477324.701571e-08
1.515251.94764.762247e-08
1.522031.9474684.823195e-08
1.528851.9473364.884416e-08
1.531.9473144.894700e-08
1.53571.9472045.334288e-08
1.542591.9470725.864519e-08
1.54951.946946.397126e-08
1.556441.9468086.932119e-08
1.563411.9466777.469509e-08
1.570421.9465458.009307e-08
1.577461.9464148.551523e-08
1.584521.9462829.096169e-08
1.591621.9461519.643256e-08
1.598761.9460191.019279e-07
1.605921.9458881.074479e-07
1.613111.9457571.129927e-07
1.620341.9456251.185622e-07
1.62761.9454941.241568e-07
1.634891.9453621.297764e-07
1.642221.9452311.354212e-07
1.649581.9450991.410912e-07
1.656971.9449671.467867e-07
1.664391.9448361.525077e-07
1.671851.9447041.582543e-07
1.679341.9445721.640267e-07
1.686871.944441.698250e-07
1.694431.9443071.756492e-07
1.702021.9441751.814995e-07
1.709641.9440421.873760e-07
1.71731.9439091.932789e-07
1.7251.9437771.992082e-07
1.732731.9436432.051641e-07
1.740491.943512.111467e-07
1.748291.9433762.171561e-07
1.756121.9432432.231923e-07
1.763991.9431092.292557e-07
1.77191.9429742.353462e-07
1.779841.942842.414640e-07
1.787811.9427052.476092e-07
1.795821.942572.537820e-07
1.803871.9424342.599824e-07
1.811951.9422982.662106e-07
1.820071.9421622.724667e-07
1.828221.9420262.787508e-07
1.836421.9418892.850631e-07
1.844641.9417522.914037e-07
1.852911.9416142.977726e-07
1.861211.9414763.041701e-07
1.869551.9413383.105963e-07
1.877931.9411993.170513e-07
1.886341.941063.235352e-07
1.894791.940923.300481e-07
1.903281.940783.365903e-07
1.911811.9406393.431617e-07
1.920381.9404983.497626e-07
1.928981.9403573.563931e-07
1.937631.9402153.630532e-07
1.946311.9400723.697433e-07
1.955031.9399293.764632e-07
1.963791.9397853.832133e-07
1.971.9396833.880000e-07
1.972591.9396413.985736e-07
1.981431.9394964.346944e-07
1.99031.9393514.709771e-07
1.999221.9392055.074224e-07
2.008181.9390585.440309e-07
2.017181.9389115.808035e-07
2.026221.9387636.177408e-07
2.035291.9386146.548437e-07
2.044411.9384656.921128e-07
2.053571.9383157.295488e-07
2.062781.9381647.671527e-07
2.072021.9380138.049250e-07
2.08131.937868.428665e-07
2.090631.9377088.809781e-07
2.11.9375549.192604e-07
2.10941.93749.577142e-07
2.118861.9372449.963404e-07
2.128351.9370881.035140e-06
2.137891.9369311.074113e-06
2.147471.9367741.113260e-06
2.157091.9366151.152583e-06
2.166751.9364561.192083e-06
2.176461.9362951.231759e-06
2.186211.9361341.271613e-06
2.196011.9359721.311646e-06
2.205851.9358091.351858e-06
2.215731.9356451.392250e-06
2.225661.935481.432823e-06
2.235631.9353141.473578e-06
2.245651.9351471.514516e-06
2.255711.9349791.555637e-06
2.265821.934811.596942e-06
2.275971.934641.638432e-06
2.286171.9344691.680108e-06
2.296411.9342971.721971e-06
2.30671.9341241.764022e-06
2.317041.9339491.806261e-06
2.3251.9338151.838800e-06
2.327421.9337741.877173e-06
2.337851.9335972.042549e-06
2.348321.9334192.208667e-06
2.358851.933242.375528e-06
2.369411.933062.543138e-06
2.380031.9328782.711498e-06
2.39071.9326962.880613e-06
2.401411.9325123.050485e-06
2.412171.9323263.221118e-06
2.422981.932143.392516e-06
2.433831.9319523.564682e-06
2.444741.9317633.737620e-06
2.455691.9315723.911332e-06
2.466691.931384.085823e-06
2.477751.9311874.261095e-06
2.488851.9309924.437153e-06
2.51.9307954.614000e-06

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
—