Optical constants

Refractive index of K-PSFn202 (SUMITA)

K-PSFn202: n,k 0.4–1.55 µm

Data
formula 3 + tabulated k
Range
0.4–1.55 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.4–1.55 µm
Refractive index n
2.01959
Extinction coefficient k
4.68297e-08
Permittivity ε1
4.07876
Permittivity ε2
1.89154e-07
Absorption coefficient α
0.010015 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99701e+09 nm
Abbe number Vd
21.453
Chromatic dispersion dn/dλ
-0.2359 µm⁻¹
Group index ng
2.15821
Group velocity dispersion
502.808 fs²/mm
Dispersion parameter D
-2743.09 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

# K-PSFn202 (SUMITA): K-PSFn202
sumita_k_psfn202 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-PSFn202", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_psfn202.range_nm)  # (400, 1550) nm
eps = sumita_k_psfn202.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=3.8508789−0.016529344⁢λ2.0+0.066096066⁢λ−2.0+0.0058480521⁢λ−4.0−0.0005055984⁢λ−6.0+7.6558669×10-5⁢λ−8.0

Valid from 0.4 to 1.55 µm.

Coefficients as stored
CiValue
C13.8508789
C2-0.016529344
C32.0
C40.066096066
C5-2.0
C60.0058480521
C7-4.0
C8-0.0005055984
C9-6.0
C107.6558669e-05
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 1.41e-05 2.66e-08 -5.37e-10 2.35e-06 1.36e-09 0.301
nd
2.01960
Vd
21.5
density
value: 6220
thermal expansion
value: 7.4e-06, temperature range: 243 343; value: 8.6e-06, temperature range: 293 573
dPgF
0.029
resistance
acid: 4.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.64e-05 K⁻¹ at 633 nm, dn/dT = 1.13e-05 K⁻¹ at 1310 nm, dn/dT = 1.10e-05 K⁻¹ at 1550 nm

References

Cite

SUMITA Zemax catalog 2017-02-02 (obtained from http://www.sumita-opt.co.jp); See also SUMITA optical glass data book; 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
K-PSFn202 (SUMITA), K-PSFn202: n and k versus wavelength
λ (µm)nk
0.42.1173476.597000e-06
0.401362.1158036.220619e-06
0.4027252.114285.842959e-06
0.4040952.1127785.464014e-06
0.4054692.1112965.083780e-06
0.4068482.1098344.702254e-06
0.4082312.1083924.319430e-06
0.4096192.1069693.935304e-06
0.4110122.1055643.549872e-06
0.412412.1041783.163129e-06
0.4138132.102812.775071e-06
0.415222.101462.385694e-06
0.4166322.1001271.994992e-06
0.4180492.0988121.602962e-06
0.419472.0975131.209598e-06
0.422.0970341.063000e-06
0.4208972.0962311.028591e-06
0.4223282.0949649.736634e-07
0.4237642.0937149.185494e-07
0.4252052.0924798.632479e-07
0.4266512.091268.077584e-07
0.4281022.0900557.520803e-07
0.4295582.0888666.962127e-07
0.4310192.0876916.401552e-07
0.4324842.086535.839071e-07
0.4339552.0853835.274676e-07
0.4354312.084254.708363e-07
0.4369122.083134.140123e-07
0.4383972.0820233.569952e-07
0.4398882.080932.997841e-07
0.442.0808492.954900e-07
0.4413842.079852.852360e-07
0.4428852.0787822.741152e-07
0.4443912.0777262.629566e-07
0.4459022.0766832.517601e-07
0.4474192.0756512.405255e-07
0.448942.0746322.292527e-07
0.4504672.0736242.179416e-07
0.4519992.0726272.065920e-07
0.4535362.0716421.952038e-07
0.4550782.0706671.837769e-07
0.4566262.0697041.723111e-07
0.4581782.0687511.608063e-07
0.4597362.0678091.492624e-07
0.462.0676511.473100e-07
0.46132.0668771.427159e-07
0.4628692.0659551.371716e-07
0.4644432.0650431.316085e-07
0.4660222.0641411.260264e-07
0.4676072.0632481.204254e-07
0.4691972.0623661.148053e-07
0.4707922.0614921.091661e-07
0.4723932.0606281.035078e-07
0.4742.0597739.783015e-08
0.4756122.0589279.213324e-08
0.4772292.058098.641695e-08
0.4788522.0572618.068122e-08
0.482.0566827.662400e-08
0.480482.0564417.606030e-08
0.4821142.055637.414321e-08
0.4837542.0548277.221960e-08
0.4853992.0540327.028945e-08
0.487052.0532456.835273e-08
0.4887062.0524666.640943e-08
0.4903682.0516956.445952e-08
0.4920352.0509326.250297e-08
0.4937092.0501766.053978e-08
0.4953872.0494285.856991e-08
0.4970722.0486875.659334e-08
0.4987622.0479545.461005e-08
0.52.0474235.315800e-08
0.5004592.0472275.307248e-08
0.502162.0465085.275509e-08
0.5038682.0457965.243661e-08
0.5055822.0450915.211705e-08
0.5073012.0443935.179640e-08
0.5090262.0437015.147466e-08
0.5107572.0430165.115183e-08
0.5124942.0423385.082790e-08
0.5142372.0416665.050287e-08
0.5159852.0415.017673e-08
0.517742.0403414.984948e-08
0.5195012.0396884.952113e-08
0.5212672.0390414.919165e-08
0.523042.03844.886105e-08
0.5248192.0377654.852933e-08
0.5266032.0371364.819649e-08
0.5283942.0365134.786251e-08
0.5301912.0358964.752739e-08
0.5319942.0352844.719113e-08
0.5338032.0346784.685374e-08
0.5356182.0340774.651519e-08
0.537442.0334824.617549e-08
0.5392672.0328934.583464e-08
0.5411012.0323084.549263e-08
0.5429412.0317294.514945e-08
0.5447882.0311554.480511e-08
0.546642.0305864.445960e-08
0.5484992.0300234.411291e-08
0.552.0295734.383300e-08
0.5503642.0294644.386204e-08
0.5522362.028914.401121e-08
0.5541142.0283614.416088e-08
0.5559982.0278174.431106e-08
0.5578892.0272784.446175e-08
0.5597862.0267444.461296e-08
0.561692.0262144.476467e-08
0.56362.0256894.491691e-08
0.5655162.0251684.506966e-08
0.567442.0246524.522293e-08
0.5693692.024144.537673e-08
0.5713052.0236334.553104e-08
0.5732482.023134.568588e-08
0.5751982.0226324.584125e-08
0.5771542.0221374.599714e-08
0.5791162.0216474.615357e-08
0.5810862.0211614.631053e-08
0.5830622.020684.646802e-08
0.5850442.0202024.662605e-08
0.5870342.0197284.678461e-08
0.589032.0192584.694371e-08
0.5910332.0187934.710336e-08
0.5930432.0183314.726355e-08
0.595062.0178734.742428e-08
0.5970842.0174184.758556e-08
0.5991142.0169684.774738e-08
0.62.0167734.781800e-08
0.6011512.0165214.751175e-08
0.6031962.0160784.696797e-08
0.6052472.0156394.642234e-08
0.6073052.0152034.587485e-08
0.609372.0147714.532550e-08
0.6114432.0143424.477429e-08
0.6135222.0139174.422120e-08
0.6156082.0134954.366623e-08
0.6177022.0130774.310937e-08
0.6198022.0126624.255062e-08
0.621912.0122514.198997e-08
0.6240252.0118434.142741e-08
0.6261472.0114384.086294e-08
0.6282762.0110364.029655e-08
0.6304132.0106383.972823e-08
0.6325562.0102423.915798e-08
0.6347082.009853.858580e-08
0.6368662.0094613.801166e-08
0.6390322.0090753.743557e-08
0.6412052.0086923.685753e-08
0.6433852.0083123.627752e-08
0.6455732.0079363.569553e-08
0.6477692.0075623.511157e-08
0.6499712.0071913.452562e-08
0.652.0071863.451800e-08
0.6521822.0068233.544608e-08
0.6543992.0064583.638954e-08
0.6566252.0060953.733621e-08
0.6588582.0057363.828610e-08
0.6610982.0053793.923922e-08
0.6633462.0050254.019558e-08
0.6656022.0046744.115519e-08
0.6678662.0043254.211806e-08
0.6701372.0039794.308422e-08
0.6724162.0036364.405365e-08
0.6747022.0032954.502638e-08
0.6769972.0029574.600242e-08
0.6792992.0026224.698178e-08
0.6816092.0022894.796447e-08
0.6839272.0019594.895051e-08
0.6862532.0016314.993989e-08
0.6885862.0013065.093264e-08
0.6909282.0009835.192877e-08
0.6932782.0006625.292828e-08
0.6956352.0003445.393119e-08
0.6980012.0000285.493751e-08
0.71.9997645.578800e-08
0.7003741.9997155.573819e-08
0.7027561.9994045.542133e-08
0.7051461.9990955.510339e-08
0.7075441.9987895.478437e-08
0.709951.9984855.446426e-08
0.7123641.9981835.414307e-08
0.7147871.9978835.382078e-08
0.7172171.9975855.349740e-08
0.7196561.997295.317292e-08
0.7221041.9969975.284733e-08
0.7245591.9967065.252064e-08
0.7270231.9964175.219283e-08
0.7294961.996135.186392e-08
0.7319761.9958455.153388e-08
0.7344651.9955625.120272e-08
0.7369631.9952825.087043e-08
0.7394691.9950035.053702e-08
0.7419841.9947265.020247e-08
0.7445071.9944524.986678e-08
0.7470391.9941794.952995e-08
0.7495791.9939084.919198e-08
0.7521281.9936394.885285e-08
0.7546861.9933724.851258e-08
0.7572521.9931074.817114e-08
0.7598281.9928444.782855e-08
0.7624111.9925824.748479e-08
0.7650041.9923234.713986e-08
0.7676061.9920654.679376e-08
0.7702161.9918094.644648e-08
0.7728351.9915554.609802e-08
0.7754631.9913024.574837e-08
0.77811.9910524.539754e-08
0.7807461.9908034.504551e-08
0.7834011.9905564.469229e-08
0.7860651.990314.433786e-08
0.7887381.9900664.398223e-08
0.7914211.9898244.362539e-08
0.7941121.9895834.326734e-08
0.7968121.9893444.290807e-08
0.7995221.9891074.254758e-08
0.81.9890654.248400e-08
0.8022411.9888714.260301e-08
0.8049691.9886374.274788e-08
0.8077071.9884044.289325e-08
0.8104531.9881734.303911e-08
0.8132091.9879444.318546e-08
0.8159751.9877154.333232e-08
0.8187491.9874894.347967e-08
0.8215341.9872644.362752e-08
0.8243271.987044.377588e-08
0.8271311.9868184.392474e-08
0.8299431.9865984.407411e-08
0.8327661.9863784.422399e-08
0.8355981.986164.437437e-08
0.8384391.9859444.452527e-08
0.841291.9857294.467668e-08
0.8441511.9855154.482861e-08
0.8470221.9853034.498105e-08
0.8499021.9850924.513401e-08
0.8527931.9848824.528749e-08
0.8556931.9846744.544149e-08
0.8586031.9844674.559602e-08
0.8615221.9842614.575107e-08
0.8644521.9840574.590665e-08
0.8673921.9838544.606276e-08
0.8703411.9836524.621940e-08
0.8733011.9834514.637657e-08
0.8762711.9832524.653427e-08
0.8792511.9830544.669252e-08
0.8822411.9828574.685130e-08
0.8852411.9826614.701062e-08
0.8882511.9824664.717048e-08
0.8912721.9822734.733088e-08
0.8943031.9820814.749184e-08
0.8973441.9818894.765333e-08
0.9003951.9816994.781538e-08
0.9034571.9815114.797798e-08
0.906531.9813234.814113e-08
0.9096121.9811364.830484e-08
0.9127061.9809514.846910e-08
0.9158091.9807664.863392e-08
0.9189241.9805834.879931e-08
0.9220491.98044.896525e-08
0.9251841.9802194.913176e-08
0.928331.9800394.929884e-08
0.9314871.9798594.946648e-08
0.9346551.9796814.963469e-08
0.9378331.9795044.980348e-08
0.9410231.9793274.997284e-08
0.9442231.9791525.014277e-08
0.9474341.9789785.031329e-08
0.9506551.9788045.048438e-08
0.9538881.9786325.065606e-08
0.9571321.978465.082831e-08
0.9603871.978295.100116e-08
0.9636531.978125.117459e-08
0.966931.9779515.134861e-08
0.9702181.9777835.152323e-08
0.9735171.9776165.169844e-08
0.9768281.977455.187424e-08
0.980151.9772855.205064e-08
0.9834831.9771215.222764e-08
0.9868271.9769575.240525e-08
0.9901831.9767945.258345e-08
0.993551.9766325.276227e-08
0.9969291.9764715.294169e-08
1.000321.9763115.312172e-08
1.003721.9761525.330236e-08
1.007131.9759935.348362e-08
1.010561.9758355.366549e-08
1.0141.9756785.384799e-08
1.017441.9755215.403110e-08
1.02091.9753665.421484e-08
1.024381.9752115.439920e-08
1.027861.9750575.458419e-08
1.031351.9749035.476980e-08
1.034861.9747515.495605e-08
1.038381.9745995.514293e-08
1.041911.9744475.533045e-08
1.045451.9742975.551860e-08
1.049011.9741475.570740e-08
1.052581.9739985.589683e-08
1.056161.9738495.608692e-08
1.059751.9737015.627764e-08
1.061.9736915.629100e-08
1.063351.9735545.646902e-08
1.066971.9734075.666105e-08
1.07061.9732615.685373e-08
1.074241.9731165.704707e-08
1.077891.9729715.724106e-08
1.081561.9728275.743572e-08
1.085231.9726835.763104e-08
1.088921.972545.782702e-08
1.092631.9723985.802366e-08
1.096341.9722565.822098e-08
1.100071.9721155.841897e-08
1.103811.9719745.861763e-08
1.107571.9718345.881696e-08
1.111331.9716945.901697e-08
1.115111.9715555.921767e-08
1.11891.9714175.941904e-08
1.122711.9712795.962111e-08
1.126531.9711415.982385e-08
1.130361.9710046.002729e-08
1.13421.9708686.023142e-08
1.138061.9707326.043624e-08
1.141931.9705966.064176e-08
1.145811.9704616.084798e-08
1.149711.9703276.105490e-08
1.153621.9701926.126253e-08
1.157541.9700596.147086e-08
1.161481.9699256.167990e-08
1.165431.9697936.188965e-08
1.169391.969666.210011e-08
1.173371.9695286.231129e-08
1.177361.9693976.252318e-08
1.181361.9692666.273580e-08
1.185381.9691356.294914e-08
1.189411.9690046.316321e-08
1.193451.9688756.337800e-08
1.197511.9687456.359352e-08
1.201581.9686166.380978e-08
1.205671.9684876.402677e-08
1.209771.9683586.424450e-08
1.213881.968236.446297e-08
1.218011.9681026.468219e-08
1.222151.9679756.490214e-08
1.226311.9678486.512285e-08
1.230481.9677216.534431e-08
1.234671.9675956.556652e-08
1.238861.9674686.578949e-08
1.243081.9673436.601321e-08
1.24731.9672176.623770e-08
1.251551.9670926.646294e-08
1.25581.9669676.668896e-08
1.260071.9668426.691574e-08
1.264361.9667176.714330e-08
1.268661.9665936.737162e-08
1.272971.9664696.760073e-08
1.27731.9663466.783061e-08
1.281641.9662226.806128e-08
1.2861.9660996.829273e-08
1.290381.9659766.852497e-08
1.294761.9658536.875799e-08
1.299171.9657316.899181e-08
1.303581.9656086.922643e-08
1.308021.9654866.946184e-08
1.312471.9653646.969805e-08
1.316931.9652436.993507e-08
1.321411.9651217.017289e-08
1.32591.9657.041152e-08
1.330411.9648797.065096e-08
1.334931.9647587.089122e-08
1.339471.9646377.113229e-08
1.344031.9645167.137419e-08
1.34861.9643967.161690e-08
1.353181.9642757.186044e-08
1.357791.9641557.210481e-08
1.36241.9640357.235001e-08
1.367041.9639157.259605e-08
1.371691.9637957.284292e-08
1.376351.9636757.309063e-08
1.381031.9635557.333918e-08
1.385731.9634367.358858e-08
1.390441.9633167.383883e-08
1.395171.9631977.408992e-08
1.399911.9630777.434187e-08
1.404671.9629587.459468e-08
1.409451.9628397.484835e-08
1.414241.962727.510288e-08
1.419051.9626017.535827e-08
1.423881.9624827.561454e-08
1.428721.9623637.587167e-08
1.433581.9622447.612968e-08
1.438451.9621257.638857e-08
1.443341.9620067.664834e-08
1.448251.9618877.690899e-08
1.453181.9617687.717053e-08
1.458121.9616497.743296e-08
1.463081.9615317.769628e-08
1.468051.9614127.796049e-08
1.473051.9612937.822560e-08
1.478051.9611747.849162e-08
1.483081.9610557.875854e-08
1.488121.9609367.902637e-08
1.493191.9608177.929510e-08
1.498261.9606987.956476e-08
1.51.9606577.965700e-08
1.503361.9605797.983533e-08
1.508471.960468.010683e-08
1.51361.9603418.037925e-08
1.518751.9602228.065259e-08
1.523911.9601028.092687e-08
1.529091.9599838.120208e-08
1.534291.9598638.147822e-08
1.539511.9597448.175530e-08
1.544751.9596248.203333e-08
1.551.9595048.231230e-08

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
—