Optical constants

Refractive index of K-PSFn2 (SUMITA)

K-PSFn2: 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
2.0017
Extinction coefficient k
2.27098e-07
Permittivity ε1
4.00682
Permittivity ε2
9.09166e-07
Absorption coefficient α
0.048567 cm⁻¹
Penetration depth δ = λ/(2πk)
4.11802e+08 nm
Abbe number Vd
20.656
Chromatic dispersion dn/dλ
-0.240569 µm⁻¹
Group index ng
2.14306
Group velocity dispersion
515.135 fs²/mm
Dispersion parameter D
-2810.33 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-PSFn2 (SUMITA): K-PSFn2
sumita_k_psfn2 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-PSFn2", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_psfn2.range_nm)  # (400, 1550) nm
eps = sumita_k_psfn2.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=3.7699503−0.013004151⁢λ2.0+0.072310519⁢λ−2.0+0.0035123072⁢λ−4.0−1.0361594×10-5⁢λ−6.0+3.8615781×10-5⁢λ−8.0

Valid from 0.4 to 1.55 µm.

Coefficients as stored
CiValue
C13.7699503
C2-0.013004151
C32.0
C40.072310519
C5-2.0
C60.0035123072
C7-4.0
C8-1.0361594e-05
C9-6.0
C103.8615781e-05
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 8.11e-06 2.15e-08 -1.06e-10 2.16e-06 2.01e-09 0.291
nd
2.00170
Vd
20.6
density
value: 5480
thermal expansion
value: 7.3e-06, temperature range: 243 343; value: 9.2e-06, temperature range: 293 573
dPgF
0.0257
resistance
acid: 1.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.11e-05 K⁻¹ at 633 nm, dn/dT = 6.76e-06 K⁻¹ at 1310 nm, dn/dT = 6.45e-06 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-PSFn2 (SUMITA), K-PSFn2: n and k versus wavelength
λ (µm)nk
0.42.100816.676400e-06
0.401362.0992746.422333e-06
0.4027252.0977586.167402e-06
0.4040952.0962615.911604e-06
0.4054692.0947835.654936e-06
0.4068482.0933235.397395e-06
0.4082312.0918825.138978e-06
0.4096192.0904594.879683e-06
0.4110122.0890534.619506e-06
0.412412.0876654.358444e-06
0.4138132.0862944.096495e-06
0.415222.0849393.833654e-06
0.4166322.0836013.569920e-06
0.4180492.082283.305289e-06
0.419472.0809743.039758e-06
0.422.0804922.940800e-06
0.4208972.0796842.881827e-06
0.4223282.0784092.787690e-06
0.4237642.077152.693233e-06
0.4252052.0759052.598454e-06
0.4266512.0746752.503353e-06
0.4281022.073462.407929e-06
0.4295582.0722592.312180e-06
0.4310192.0710722.216106e-06
0.4324842.0698982.119705e-06
0.4339552.0687382.022976e-06
0.4354312.0675921.925918e-06
0.4369122.0664591.828530e-06
0.4383972.0653381.730811e-06
0.4398882.064231.632759e-06
0.442.0641481.625400e-06
0.4413842.0631351.587928e-06
0.4428852.0620521.547289e-06
0.4443912.0609821.506512e-06
0.4459022.0599231.465596e-06
0.4474192.0588761.424541e-06
0.448942.0578411.383347e-06
0.4504672.0568171.342012e-06
0.4519992.0558041.300537e-06
0.4535362.0548021.258920e-06
0.4550782.0538111.217162e-06
0.4566262.0528311.175263e-06
0.4581782.0518621.133220e-06
0.4597362.0509031.091035e-06
0.462.0507421.083900e-06
0.46132.0499541.063777e-06
0.4628692.0490161.039492e-06
0.4644432.0480871.015124e-06
0.4660222.0471689.906733e-07
0.4676072.0462599.661396e-07
0.4691972.045369.415224e-07
0.4707922.0444699.168216e-07
0.4723932.0435898.920367e-07
0.4742.0427178.671675e-07
0.4756122.0418548.422138e-07
0.4772292.0418.171752e-07
0.4788522.0401557.920515e-07
0.482.0395647.742800e-07
0.480482.0393197.690182e-07
0.4821142.0384917.511234e-07
0.4837542.0376717.331677e-07
0.4853992.036867.151510e-07
0.487052.0360576.970730e-07
0.4887062.0352626.789335e-07
0.4903682.0344756.607324e-07
0.4920352.0336966.424693e-07
0.4937092.0329256.241442e-07
0.4953872.0321616.057567e-07
0.4970722.0314045.873067e-07
0.4987622.0306565.687939e-07
0.52.0301135.552400e-07
0.5004592.0299145.523061e-07
0.502162.029185.414165e-07
0.5038682.0284525.304899e-07
0.5055822.0277325.195261e-07
0.5073012.0270195.085251e-07
0.5090262.0263134.974866e-07
0.5107572.0256134.864106e-07
0.5124942.024924.752969e-07
0.5142372.0242344.641455e-07
0.5159852.0235544.529561e-07
0.517742.0228814.417286e-07
0.5195012.0222144.304630e-07
0.5212672.0215534.191591e-07
0.523042.0208994.078167e-07
0.5248192.020253.964358e-07
0.5266032.0196083.850162e-07
0.5283942.0189723.735577e-07
0.5301912.0183413.620603e-07
0.5319942.0177163.505237e-07
0.5338032.0170973.389480e-07
0.5356182.0164843.273328e-07
0.537442.0158763.156782e-07
0.5392672.0152743.039839e-07
0.5411012.0146782.922499e-07
0.5429412.0140862.804760e-07
0.5447882.01352.686620e-07
0.546642.012922.568078e-07
0.5484992.0123442.449134e-07
0.552.0118852.353100e-07
0.5503642.0117742.352304e-07
0.5522362.0112092.348217e-07
0.5541142.0106482.344115e-07
0.5559982.0100932.340000e-07
0.5578892.0095432.335870e-07
0.5597862.0089972.331727e-07
0.561692.0084572.327570e-07
0.56362.0079212.323398e-07
0.5655162.0073892.319212e-07
0.567442.0068632.315012e-07
0.5693692.0063412.310798e-07
0.5713052.0058232.306569e-07
0.5732482.005312.302326e-07
0.5751982.0048022.298068e-07
0.5771542.0042972.293796e-07
0.5791162.0037972.289510e-07
0.5810862.0033022.285209e-07
0.5830622.002812.280893e-07
0.5850442.0023232.276563e-07
0.5870342.001842.272218e-07
0.589032.0013612.267858e-07
0.5910332.0008862.263483e-07
0.5930432.0004152.259094e-07
0.595061.9999482.254689e-07
0.5970841.9994852.250270e-07
0.5991141.9990262.245835e-07
0.61.9988272.243900e-07
0.6011511.998572.252236e-07
0.6031961.9981192.267036e-07
0.6052471.9976712.281887e-07
0.6073051.9972272.296789e-07
0.609371.9967862.311741e-07
0.6114431.9963492.326744e-07
0.6135221.9959162.341798e-07
0.6156081.9954862.356903e-07
0.6177021.995062.372060e-07
0.6198021.9946372.387268e-07
0.621911.9942182.402528e-07
0.6240251.9938022.417839e-07
0.6261471.993392.433203e-07
0.6282761.992982.448619e-07
0.6304131.9925742.464088e-07
0.6325561.9921722.479609e-07
0.6347081.9917722.495183e-07
0.6368661.9913762.510809e-07
0.6390321.9909832.526489e-07
0.6412051.9905932.542223e-07
0.6433851.9902062.558009e-07
0.6455731.9898222.573850e-07
0.6477691.9894422.589744e-07
0.6499711.9890642.605693e-07
0.651.9890592.605900e-07
0.6521821.9886892.573625e-07
0.6543991.9883172.540814e-07
0.6566251.9879482.507892e-07
0.6588581.9875822.474858e-07
0.6610981.9872192.441712e-07
0.6633461.9868592.408453e-07
0.6656021.9865012.375081e-07
0.6678661.9861462.341595e-07
0.6701371.9857942.307995e-07
0.6724161.9854452.274282e-07
0.6747021.9850982.240453e-07
0.6769971.9847542.206510e-07
0.6792991.9844132.172451e-07
0.6816091.9840742.138276e-07
0.6839271.9837382.103985e-07
0.6862531.9834042.069578e-07
0.6885861.9830732.035053e-07
0.6909281.9827452.000411e-07
0.6932781.9824181.965652e-07
0.6956351.9820951.930774e-07
0.6980011.9817741.895777e-07
0.71.9815051.866200e-07
0.7003741.9814551.862398e-07
0.7027561.9811381.838207e-07
0.7051461.9808241.813935e-07
0.7075441.9805121.789580e-07
0.709951.9802031.765142e-07
0.7123641.9798961.740621e-07
0.7147871.9795911.716016e-07
0.7172171.9792881.691328e-07
0.7196561.9789881.666556e-07
0.7221041.978691.641700e-07
0.7245591.9783941.616759e-07
0.7270231.97811.591734e-07
0.7294961.9778081.566623e-07
0.7319761.9775191.541427e-07
0.7344651.9772311.516145e-07
0.7369631.9769461.490777e-07
0.7394691.9766621.465323e-07
0.7419841.9763811.439783e-07
0.7445071.9761021.414155e-07
0.7470391.9758251.388441e-07
0.7495791.9755491.362639e-07
0.7521281.9752761.336749e-07
0.7546861.9750041.310771e-07
0.7572521.9747351.284705e-07
0.7598281.9744671.258550e-07
0.7624111.9742021.232306e-07
0.7650041.9739381.205973e-07
0.7676061.9736761.179551e-07
0.7702161.9734161.153038e-07
0.7728351.9731581.126436e-07
0.7754631.9729011.099743e-07
0.77811.9726471.072959e-07
0.7807461.9723941.046084e-07
0.7834011.9721421.019118e-07
0.7860651.9718939.920599e-08
0.7887381.9716459.649099e-08
0.7914211.9713999.376676e-08
0.7941121.9711559.103327e-08
0.7968121.9709128.829048e-08
0.7995221.9706718.553836e-08
0.81.9706298.505300e-08
0.8022411.9704328.480509e-08
0.8049691.9701948.450330e-08
0.8077071.9699588.420048e-08
0.8104531.9697238.389663e-08
0.8132091.969498.359175e-08
0.8159751.9692598.328583e-08
0.8187491.9690298.297887e-08
0.8215341.9688018.267087e-08
0.8243271.9685748.236182e-08
0.8271311.9683498.205172e-08
0.8299431.9681258.174056e-08
0.8327661.9679028.142835e-08
0.8355981.9676828.111507e-08
0.8384391.9674628.080073e-08
0.841291.9672448.048532e-08
0.8441511.9670278.016884e-08
0.8470221.9668127.985128e-08
0.8499021.9665987.953264e-08
0.8527931.9663867.921292e-08
0.8556931.9661757.889211e-08
0.8586031.9659657.857021e-08
0.8615221.9657577.824721e-08
0.8644521.965557.792312e-08
0.8673921.9653447.759792e-08
0.8703411.965147.727162e-08
0.8733011.9649377.694421e-08
0.8762711.9647357.661569e-08
0.8792511.9645347.628605e-08
0.8822411.9643357.595528e-08
0.8852411.9641377.562340e-08
0.8882511.963947.529038e-08
0.8912721.9637447.495623e-08
0.8943031.963557.462095e-08
0.8973441.9633577.428452e-08
0.9003951.9631657.394695e-08
0.9034571.9629747.360823e-08
0.906531.9627847.326837e-08
0.9096121.9625957.292734e-08
0.9127061.9624087.258516e-08
0.9158091.9622227.224181e-08
0.9189241.9620367.189729e-08
0.9220491.9618527.155161e-08
0.9251841.9616697.120474e-08
0.928331.9614877.085670e-08
0.9314871.9613077.050747e-08
0.9346551.9611277.015706e-08
0.9378331.9609486.980546e-08
0.9410231.960776.945265e-08
0.9442231.9605946.909865e-08
0.9474341.9604186.874345e-08
0.9506551.9602436.838704e-08
0.9538881.960076.802941e-08
0.9571321.9598976.767057e-08
0.9603871.9597256.731051e-08
0.9636531.9595556.694923e-08
0.966931.9593856.658671e-08
0.9702181.9592166.622297e-08
0.9735171.9590486.585798e-08
0.9768281.9588816.549176e-08
0.980151.9587156.512429e-08
0.9834831.958556.475557e-08
0.9868271.9583866.438560e-08
0.9901831.9582236.401436e-08
0.993551.958066.364187e-08
0.9969291.9578996.326811e-08
1.000321.9577386.289308e-08
1.003721.9575786.251677e-08
1.007131.9574196.213918e-08
1.010561.9572616.176031e-08
1.0141.9571046.138015e-08
1.017441.9569476.099870e-08
1.02091.9567926.061595e-08
1.024381.9566376.023190e-08
1.027861.9564835.984654e-08
1.031351.9563295.945988e-08
1.034861.9561775.907190e-08
1.038381.9560255.868259e-08
1.041911.9558745.829197e-08
1.045451.9557245.790001e-08
1.049011.9555745.750673e-08
1.052581.9554265.711210e-08
1.056161.9552785.671614e-08
1.059751.955135.631883e-08
1.061.955125.629100e-08
1.063351.9549845.646902e-08
1.066971.9548385.666105e-08
1.07061.9546925.685373e-08
1.074241.9545485.704707e-08
1.077891.9544045.724106e-08
1.081561.9542615.743572e-08
1.085231.9541185.763104e-08
1.088921.9539775.782702e-08
1.092631.9538355.802366e-08
1.096341.9536955.822098e-08
1.100071.9535555.841897e-08
1.103811.9534165.861763e-08
1.107571.9532775.881696e-08
1.111331.9531395.901697e-08
1.115111.9530015.921767e-08
1.11891.9528645.941904e-08
1.122711.9527285.962111e-08
1.126531.9525925.982385e-08
1.130361.9524576.002729e-08
1.13421.9523236.023142e-08
1.138061.9521896.043624e-08
1.141931.9520556.064176e-08
1.145811.9519226.084798e-08
1.149711.951796.105490e-08
1.153621.9516586.126253e-08
1.157541.9515276.147086e-08
1.161481.9513966.167990e-08
1.165431.9512666.188965e-08
1.169391.9511366.210011e-08
1.173371.9510076.231129e-08
1.177361.9508786.252318e-08
1.181361.950756.273580e-08
1.185381.9506226.294914e-08
1.189411.9504946.316321e-08
1.193451.9503676.337800e-08
1.197511.9502416.359352e-08
1.201581.9501156.380978e-08
1.205671.9499896.402677e-08
1.209771.9498646.424450e-08
1.213881.949746.446297e-08
1.218011.9496156.468219e-08
1.222151.9494916.490214e-08
1.226311.9493686.512285e-08
1.230481.9492456.534431e-08
1.234671.9491226.556652e-08
1.238861.9496.578949e-08
1.243081.9488786.601321e-08
1.24731.9487576.623770e-08
1.251551.9486366.646294e-08
1.25581.9485156.668896e-08
1.260071.9483946.691574e-08
1.264361.9482746.714330e-08
1.268661.9481556.737162e-08
1.272971.9480356.760073e-08
1.27731.9479166.783061e-08
1.281641.9477986.806128e-08
1.2861.9476796.829273e-08
1.290381.9475616.852497e-08
1.294761.9474446.875799e-08
1.299171.9473266.899181e-08
1.303581.9472096.922643e-08
1.308021.9470926.946184e-08
1.312471.9469766.969805e-08
1.316931.9468596.993507e-08
1.321411.9467437.017289e-08
1.32591.9466287.041152e-08
1.330411.9465127.065096e-08
1.334931.9463977.089122e-08
1.339471.9462827.113229e-08
1.344031.9461677.137419e-08
1.34861.9460537.161690e-08
1.353181.9459397.186044e-08
1.357791.9458257.210481e-08
1.36241.9457117.235001e-08
1.367041.9455977.259605e-08
1.371691.9454847.284292e-08
1.376351.9453717.309063e-08
1.381031.9452587.333918e-08
1.385731.9451457.358858e-08
1.390441.9450337.383883e-08
1.395171.944927.408992e-08
1.399911.9448087.434187e-08
1.404671.9446967.459468e-08
1.409451.9445847.484835e-08
1.414241.9444737.510288e-08
1.419051.9443617.535827e-08
1.423881.944257.561454e-08
1.428721.9441387.587167e-08
1.433581.9440277.612968e-08
1.438451.9439167.638857e-08
1.443341.9438067.664834e-08
1.448251.9436957.690899e-08
1.453181.9435847.717053e-08
1.458121.9434747.743296e-08
1.463081.9433637.769628e-08
1.468051.9432537.796049e-08
1.473051.9431437.822560e-08
1.478051.9430337.849162e-08
1.483081.9429237.875854e-08
1.488121.9428137.902637e-08
1.493191.9427037.929510e-08
1.498261.9425937.956476e-08
1.51.9425567.965700e-08
1.503361.9424848.126624e-08
1.508471.9423748.371621e-08
1.51361.9422648.617451e-08
1.518751.9421558.864117e-08
1.523911.9420459.111622e-08
1.529091.9419369.359969e-08
1.534291.9418269.609160e-08
1.539511.9417179.859199e-08
1.544751.9416071.011009e-07
1.551.9414981.036183e-07

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
—