Optical constants

Refractive index of K-PSFn202(M) (SUMITA)

K-PSFn202(M): 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
2.01364
Extinction coefficient k
4.68297e-08
Permittivity ε1
4.05476
Permittivity ε2
1.88597e-07
Absorption coefficient α
0.010015 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99701e+09 nm
Abbe number Vd
21.412
Chromatic dispersion dn/dλ
-0.234924 µm⁻¹
Group index ng
2.15168
Group velocity dispersion
501.225 fs²/mm
Dispersion parameter D
-2734.45 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(M) (SUMITA): K-PSFn202(M)
mat = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-PSFn202(M)", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mat.range_nm)  # (400, 1550) nm
eps = mat.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=3.8290543−0.016470594⁢λ2.0+0.065112852⁢λ−2.0+0.0059865818⁢λ−4.0−0.00053116084⁢λ−6.0+7.8076366×10-5⁢λ−8.0

Valid from 0.4 to 1.55 µm.

Coefficients as stored
CiValue
C13.8290543
C2-0.016470594
C32.0
C40.065112852
C5-2.0
C60.0059865818
C7-4.0
C8-0.00053116084
C9-6.0
C107.8076366e-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
2.01365
Vd
21.4
density
value: 6220
thermal expansion
value: 7.4e-06, temperature range: 243 343; value: 8.6e-06, temperature range: 293 573
dPgF
0.0289
resistance
acid: 4.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.63e-05 K⁻¹ at 633 nm, dn/dT = 1.13e-05 K⁻¹ at 1310 nm, dn/dT = 1.09e-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(M) (SUMITA), K-PSFn202(M): n and k versus wavelength
λ (µm)nk
0.42.1110866.597000e-06
0.401362.1095456.220619e-06
0.4027252.1080255.842959e-06
0.4040952.1065265.464014e-06
0.4054692.1050485.083780e-06
0.4068482.1035894.702254e-06
0.4082312.102154.319430e-06
0.4096192.100733.935304e-06
0.4110122.0993293.549872e-06
0.412412.0979463.163129e-06
0.4138132.0965812.775071e-06
0.415222.0952342.385694e-06
0.4166322.0939051.994992e-06
0.4180492.0925931.602962e-06
0.419472.0912971.209598e-06
0.422.090821.063000e-06
0.4208972.0900181.028591e-06
0.4223282.0887559.736634e-07
0.4237642.0875089.185494e-07
0.4252052.0862778.632479e-07
0.4266512.085068.077584e-07
0.4281022.0838597.520803e-07
0.4295582.0826736.962127e-07
0.4310192.0815016.401552e-07
0.4324842.0803435.839071e-07
0.4339552.07925.274676e-07
0.4354312.078074.708363e-07
0.4369122.0769534.140123e-07
0.4383972.075853.569952e-07
0.4398882.074762.997841e-07
0.442.0746792.954900e-07
0.4413842.0736832.852360e-07
0.4428852.0726182.741152e-07
0.4443912.0715662.629566e-07
0.4459022.0705262.517601e-07
0.4474192.0694982.405255e-07
0.448942.0684812.292527e-07
0.4504672.0674762.179416e-07
0.4519992.0664832.065920e-07
0.4535362.06551.952038e-07
0.4550782.0645291.837769e-07
0.4566262.0635691.723111e-07
0.4581782.0626191.608063e-07
0.4597362.061681.492624e-07
0.462.0615221.473100e-07
0.46132.0607511.427159e-07
0.4628692.0598321.371716e-07
0.4644432.0589231.316085e-07
0.4660222.0580241.260264e-07
0.4676072.0571341.204254e-07
0.4691972.0562551.148053e-07
0.4707922.0553841.091661e-07
0.4723932.0545231.035078e-07
0.4742.0536719.783015e-08
0.4756122.0528289.213324e-08
0.4772292.0519938.641695e-08
0.4788522.0511688.068122e-08
0.482.050597.662400e-08
0.480482.050357.606030e-08
0.4821142.0495427.414321e-08
0.4837542.0487417.221960e-08
0.4853992.0479497.028945e-08
0.487052.0471656.835273e-08
0.4887062.0463896.640943e-08
0.4903682.0456216.445952e-08
0.4920352.044866.250297e-08
0.4937092.0441076.053978e-08
0.4953872.0433625.856991e-08
0.4970722.0426245.659334e-08
0.4987622.0418935.461005e-08
0.52.0413645.315800e-08
0.5004592.0411695.307248e-08
0.502162.0404535.275509e-08
0.5038682.0397435.243661e-08
0.5055822.0390415.211705e-08
0.5073012.0383455.179640e-08
0.5090262.0376565.147466e-08
0.5107572.0369735.115183e-08
0.5124942.0362985.082790e-08
0.5142372.0356285.050287e-08
0.5159852.0349655.017673e-08
0.517742.0343084.984948e-08
0.5195012.0336584.952113e-08
0.5212672.0330134.919165e-08
0.523042.0323754.886105e-08
0.5248192.0317424.852933e-08
0.5266032.0311164.819649e-08
0.5283942.0304954.786251e-08
0.5301912.029884.752739e-08
0.5319942.029274.719113e-08
0.5338032.0286664.685374e-08
0.5356182.0280684.651519e-08
0.537442.0274754.617549e-08
0.5392672.0268884.583464e-08
0.5411012.0263064.549263e-08
0.5429412.0257294.514945e-08
0.5447882.0251574.480511e-08
0.546642.0245914.445960e-08
0.5484992.0240294.411291e-08
0.552.0235814.383300e-08
0.5503642.0234734.386204e-08
0.5522362.0229214.401121e-08
0.5541142.0223744.416088e-08
0.5559982.0218334.431106e-08
0.5578892.0212954.446175e-08
0.5597862.0207634.461296e-08
0.561692.0202354.476467e-08
0.56362.0197124.491691e-08
0.5655162.0191944.506966e-08
0.567442.018684.522293e-08
0.5693692.018174.537673e-08
0.5713052.0176654.553104e-08
0.5732482.0171644.568588e-08
0.5751982.0166684.584125e-08
0.5771542.0161754.599714e-08
0.5791162.0156874.615357e-08
0.5810862.0152034.631053e-08
0.5830622.0147234.646802e-08
0.5850442.0142484.662605e-08
0.5870342.0137764.678461e-08
0.589032.0133084.694371e-08
0.5910332.0128444.710336e-08
0.5930432.0123844.726355e-08
0.595062.0119284.742428e-08
0.5970842.0114764.758556e-08
0.5991142.0110274.774738e-08
0.62.0108334.781800e-08
0.6011512.0105834.751175e-08
0.6031962.0101414.696797e-08
0.6052472.0097044.642234e-08
0.6073052.009274.587485e-08
0.609372.008844.532550e-08
0.6114432.0084134.477429e-08
0.6135222.0079894.422120e-08
0.6156082.007574.366623e-08
0.6177022.0071534.310937e-08
0.6198022.006744.255062e-08
0.621912.006334.198997e-08
0.6240252.0059244.142741e-08
0.6261472.0055214.086294e-08
0.6282762.0051214.029655e-08
0.6304132.0047243.972823e-08
0.6325562.0043313.915798e-08
0.6347082.003943.858580e-08
0.6368662.0035533.801166e-08
0.6390322.0031693.743557e-08
0.6412052.0027873.685753e-08
0.6433852.0024093.627752e-08
0.6455732.0020343.569553e-08
0.6477692.0016623.511157e-08
0.6499712.0012933.452562e-08
0.652.0012883.451800e-08
0.6521822.0009263.544608e-08
0.6543992.0005633.638954e-08
0.6566252.0002023.733621e-08
0.6588581.9998443.828610e-08
0.6610981.9994893.923922e-08
0.6633461.9991374.019558e-08
0.6656021.9987874.115519e-08
0.6678661.998444.211806e-08
0.6701371.9980964.308422e-08
0.6724161.9977544.405365e-08
0.6747021.9974154.502638e-08
0.6769971.9970794.600242e-08
0.6792991.9967454.698178e-08
0.6816091.9964144.796447e-08
0.6839271.9960854.895051e-08
0.6862531.9957594.993989e-08
0.6885861.9954355.093264e-08
0.6909281.9951135.192877e-08
0.6932781.9947945.292828e-08
0.6956351.9944785.393119e-08
0.6980011.9941645.493751e-08
0.71.9939015.578800e-08
0.7003741.9938525.573819e-08
0.7027561.9935425.542133e-08
0.7051461.9932355.510339e-08
0.7075441.992935.478437e-08
0.709951.9926275.446426e-08
0.7123641.9923275.414307e-08
0.7147871.9920295.382078e-08
0.7172171.9917335.349740e-08
0.7196561.9914395.317292e-08
0.7221041.9911475.284733e-08
0.7245591.9908575.252064e-08
0.7270231.990575.219283e-08
0.7294961.9902855.186392e-08
0.7319761.9900015.153388e-08
0.7344651.989725.120272e-08
0.7369631.9894415.087043e-08
0.7394691.9891635.053702e-08
0.7419841.9888885.020247e-08
0.7445071.9886154.986678e-08
0.7470391.9883434.952995e-08
0.7495791.9880744.919198e-08
0.7521281.9878064.885285e-08
0.7546861.9875414.851258e-08
0.7572521.9872774.817114e-08
0.7598281.9870154.782855e-08
0.7624111.9867554.748479e-08
0.7650041.9864974.713986e-08
0.7676061.9862414.679376e-08
0.7702161.9859864.644648e-08
0.7728351.9857334.609802e-08
0.7754631.9854824.574837e-08
0.77811.9852334.539754e-08
0.7807461.9849854.504551e-08
0.7834011.9847394.469229e-08
0.7860651.9844954.433786e-08
0.7887381.9842524.398223e-08
0.7914211.9840114.362539e-08
0.7941121.9837724.326734e-08
0.7968121.9835344.290807e-08
0.7995221.9832984.254758e-08
0.81.9832574.248400e-08
0.8022411.9830634.260301e-08
0.8049691.9828314.274788e-08
0.8077071.9825994.289325e-08
0.8104531.9823694.303911e-08
0.8132091.9821414.318546e-08
0.8159751.9819144.333232e-08
0.8187491.9816894.347967e-08
0.8215341.9814654.362752e-08
0.8243271.9812434.377588e-08
0.8271311.9810224.392474e-08
0.8299431.9808034.407411e-08
0.8327661.9805854.422399e-08
0.8355981.9803684.437437e-08
0.8384391.9801534.452527e-08
0.841291.9799394.467668e-08
0.8441511.9797264.482861e-08
0.8470221.9795154.498105e-08
0.8499021.9793064.513401e-08
0.8527931.9790974.528749e-08
0.8556931.978894.544149e-08
0.8586031.9786844.559602e-08
0.8615221.978484.575107e-08
0.8644521.9782764.590665e-08
0.8673921.9780744.606276e-08
0.8703411.9778744.621940e-08
0.8733011.9776744.637657e-08
0.8762711.9774764.653427e-08
0.8792511.9772794.669252e-08
0.8822411.9770834.685130e-08
0.8852411.9768884.701062e-08
0.8882511.9766954.717048e-08
0.8912721.9765034.733088e-08
0.8943031.9763114.749184e-08
0.8973441.9761214.765333e-08
0.9003951.9759334.781538e-08
0.9034571.9757454.797798e-08
0.906531.9755584.814113e-08
0.9096121.9753734.830484e-08
0.9127061.9751884.846910e-08
0.9158091.9750054.863392e-08
0.9189241.9748224.879931e-08
0.9220491.9746414.896525e-08
0.9251841.9744614.913176e-08
0.928331.9742814.929884e-08
0.9314871.9741034.946648e-08
0.9346551.9739264.963469e-08
0.9378331.973754.980348e-08
0.9410231.9735744.997284e-08
0.9442231.97345.014277e-08
0.9474341.9732275.031329e-08
0.9506551.9730545.048438e-08
0.9538881.9728835.065606e-08
0.9571321.9727135.082831e-08
0.9603871.9725435.100116e-08
0.9636531.9723745.117459e-08
0.966931.9722075.134861e-08
0.9702181.972045.152323e-08
0.9735171.9718745.169844e-08
0.9768281.9717095.187424e-08
0.980151.9715445.205064e-08
0.9834831.9713815.222764e-08
0.9868271.9712185.240525e-08
0.9901831.9710575.258345e-08
0.993551.9708965.276227e-08
0.9969291.9707365.294169e-08
1.000321.9705765.312172e-08
1.003721.9704185.330236e-08
1.007131.970265.348362e-08
1.010561.9701035.366549e-08
1.0141.9699475.384799e-08
1.017441.9697925.403110e-08
1.02091.9696375.421484e-08
1.024381.9694835.439920e-08
1.027861.969335.458419e-08
1.031351.9691775.476980e-08
1.034861.9690265.495605e-08
1.038381.9688755.514293e-08
1.041911.9687245.533045e-08
1.045451.9685745.551860e-08
1.049011.9684255.570740e-08
1.052581.9682775.589683e-08
1.056161.9681295.608692e-08
1.059751.9679825.627764e-08
1.061.9679725.629100e-08
1.063351.9678365.646902e-08
1.066971.967695.666105e-08
1.07061.9675455.685373e-08
1.074241.9674015.704707e-08
1.077891.9672575.724106e-08
1.081561.9671145.743572e-08
1.085231.9669715.763104e-08
1.088921.9668295.782702e-08
1.092631.9666875.802366e-08
1.096341.9665465.822098e-08
1.100071.9664065.841897e-08
1.103811.9662665.861763e-08
1.107571.9661275.881696e-08
1.111331.9659885.901697e-08
1.115111.965855.921767e-08
1.11891.9657125.941904e-08
1.122711.9655755.962111e-08
1.126531.9654385.982385e-08
1.130361.9653026.002729e-08
1.13421.9651666.023142e-08
1.138061.9650316.043624e-08
1.141931.9648966.064176e-08
1.145811.9647626.084798e-08
1.149711.9646286.105490e-08
1.153621.9644956.126253e-08
1.157541.9643626.147086e-08
1.161481.964236.167990e-08
1.165431.9640986.188965e-08
1.169391.9639666.210011e-08
1.173371.9638356.231129e-08
1.177361.9637046.252318e-08
1.181361.9635746.273580e-08
1.185381.9634446.294914e-08
1.189411.9633146.316321e-08
1.193451.9631856.337800e-08
1.197511.9630566.359352e-08
1.201581.9629286.380978e-08
1.205671.96286.402677e-08
1.209771.9626726.424450e-08
1.213881.9625456.446297e-08
1.218011.9624186.468219e-08
1.222151.9622916.490214e-08
1.226311.9621646.512285e-08
1.230481.9620386.534431e-08
1.234671.9619136.556652e-08
1.238861.9617876.578949e-08
1.243081.9616626.601321e-08
1.24731.9615376.623770e-08
1.251551.9614136.646294e-08
1.25581.9612886.668896e-08
1.260071.9611646.691574e-08
1.264361.9610416.714330e-08
1.268661.9609176.737162e-08
1.272971.9607946.760073e-08
1.27731.9606716.783061e-08
1.281641.9605486.806128e-08
1.2861.9604266.829273e-08
1.290381.9603036.852497e-08
1.294761.9601816.875799e-08
1.299171.9600596.899181e-08
1.303581.9599386.922643e-08
1.308021.9598166.946184e-08
1.312471.9596956.969805e-08
1.316931.9595746.993507e-08
1.321411.9594537.017289e-08
1.32591.9593337.041152e-08
1.330411.9592127.065096e-08
1.334931.9590927.089122e-08
1.339471.9589717.113229e-08
1.344031.9588517.137419e-08
1.34861.9587327.161690e-08
1.353181.9586127.186044e-08
1.357791.9584927.210481e-08
1.36241.9583737.235001e-08
1.367041.9582537.259605e-08
1.371691.9581347.284292e-08
1.376351.9580157.309063e-08
1.381031.9578967.333918e-08
1.385731.9577777.358858e-08
1.390441.9576587.383883e-08
1.395171.9575397.408992e-08
1.399911.957427.434187e-08
1.404671.9573027.459468e-08
1.409451.9571837.484835e-08
1.414241.9570657.510288e-08
1.419051.9569467.535827e-08
1.423881.9568287.561454e-08
1.428721.9567097.587167e-08
1.433581.9565917.612968e-08
1.438451.9564737.638857e-08
1.443341.9563547.664834e-08
1.448251.9562367.690899e-08
1.453181.9561187.717053e-08
1.458121.9567.743296e-08
1.463081.9558817.769628e-08
1.468051.9557637.796049e-08
1.473051.9556457.822560e-08
1.478051.9555267.849162e-08
1.483081.9554087.875854e-08
1.488121.955297.902637e-08
1.493191.9551717.929510e-08
1.498261.9550537.956476e-08
1.51.9550127.965700e-08
1.503361.9549347.983533e-08
1.508471.9548168.010683e-08
1.51361.9546978.037925e-08
1.518751.9545788.065259e-08
1.523911.954468.092687e-08
1.529091.9543418.120208e-08
1.534291.9542228.147822e-08
1.539511.9541038.175530e-08
1.544751.9539848.203333e-08
1.551.9538658.231230e-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
—