Optical constants

Refractive index of K-PSFn2(M) (SUMITA)

K-PSFn2(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
1.9967
Extinction coefficient k
2.27098e-07
Permittivity ε1
3.98682
Permittivity ε2
9.06894e-07
Absorption coefficient α
0.048567 cm⁻¹
Penetration depth δ = λ/(2πk)
4.11802e+08 nm
Abbe number Vd
20.639
Chromatic dispersion dn/dλ
-0.239609 µm⁻¹
Group index ng
2.1375
Group velocity dispersion
513.023 fs²/mm
Dispersion parameter D
-2798.82 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(M) (SUMITA): K-PSFn2(M)
sumita_k_psfn2_m = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-PSFn2(M)", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_psfn2_m.range_nm)  # (400, 1550) nm
eps = sumita_k_psfn2_m.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=3.7527514−0.013079452⁢λ2.0+0.07043447⁢λ−2.0+0.0041015753⁢λ−4.0−0.00012706916⁢λ−6.0+4.6413732×10-5⁢λ−8.0

Valid from 0.4 to 1.55 µm.

Coefficients as stored
CiValue
C13.7527514
C2-0.013079452
C32.0
C40.07043447
C5-2.0
C60.0041015753
C7-4.0
C8-0.00012706916
C9-6.0
C104.6413732e-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
1.99670
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
0.0255
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 = 6.73e-06 K⁻¹ at 1310 nm, dn/dT = 6.42e-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(M) (SUMITA), K-PSFn2(M): n and k versus wavelength
λ (µm)nk
0.42.0954456.676400e-06
0.401362.0939116.422333e-06
0.4027252.0923976.167402e-06
0.4040952.0909035.911604e-06
0.4054692.0894275.654936e-06
0.4068482.087975.397395e-06
0.4082312.0865325.138978e-06
0.4096192.0851114.879683e-06
0.4110122.0837094.619506e-06
0.412412.0823234.358444e-06
0.4138132.0809564.096495e-06
0.415222.0796053.833654e-06
0.4166322.078273.569920e-06
0.4180492.0769523.305289e-06
0.419472.075653.039758e-06
0.422.075172.940800e-06
0.4208972.0743642.881827e-06
0.4223282.0730932.787690e-06
0.4237642.0718372.693233e-06
0.4252052.0705972.598454e-06
0.4266512.0693712.503353e-06
0.4281022.0681592.407929e-06
0.4295582.0669622.312180e-06
0.4310192.0657792.216106e-06
0.4324842.064612.119705e-06
0.4339552.0634542.022976e-06
0.4354312.0623121.925918e-06
0.4369122.0611831.828530e-06
0.4383972.0600671.730811e-06
0.4398882.0589631.632759e-06
0.442.0588811.625400e-06
0.4413842.0578721.587928e-06
0.4428852.0567941.547289e-06
0.4443912.0557271.506512e-06
0.4459022.0546731.465596e-06
0.4474192.053631.424541e-06
0.448942.0525991.383347e-06
0.4504672.0515791.342012e-06
0.4519992.0505711.300537e-06
0.4535362.0495731.258920e-06
0.4550782.0485871.217162e-06
0.4566262.0476111.175263e-06
0.4581782.0466451.133220e-06
0.4597362.0456911.091035e-06
0.462.045531.083900e-06
0.46132.0447461.063777e-06
0.4628692.0438111.039492e-06
0.4644432.0428871.015124e-06
0.4660222.0419729.906733e-07
0.4676072.0410679.661396e-07
0.4691972.0401719.415224e-07
0.4707922.0392859.168216e-07
0.4723932.0384088.920367e-07
0.4742.037548.671675e-07
0.4756122.0366818.422138e-07
0.4772292.0358318.171752e-07
0.4788522.034997.920515e-07
0.482.0344027.742800e-07
0.480482.0341577.690182e-07
0.4821142.0333337.511234e-07
0.4837542.0325177.331677e-07
0.4853992.0317097.151510e-07
0.487052.030916.970730e-07
0.4887062.0301186.789335e-07
0.4903682.0293356.607324e-07
0.4920352.0285596.424693e-07
0.4937092.0277916.241442e-07
0.4953872.0270316.057567e-07
0.4970722.0262785.873067e-07
0.4987622.0255325.687939e-07
0.52.0249925.552400e-07
0.5004592.0247945.523061e-07
0.502162.0240635.414165e-07
0.5038682.0233395.304899e-07
0.5055822.0226225.195261e-07
0.5073012.0219125.085251e-07
0.5090262.0212084.974866e-07
0.5107572.0205124.864106e-07
0.5124942.0198224.752969e-07
0.5142372.0191394.641455e-07
0.5159852.0184624.529561e-07
0.517742.0177914.417286e-07
0.5195012.0171274.304630e-07
0.5212672.0164694.191591e-07
0.523042.0158184.078167e-07
0.5248192.0151723.964358e-07
0.5266032.0145323.850162e-07
0.5283942.0138993.735577e-07
0.5301912.0132713.620603e-07
0.5319942.0126493.505237e-07
0.5338032.0120323.389480e-07
0.5356182.0114223.273328e-07
0.537442.0108163.156782e-07
0.5392672.0102173.039839e-07
0.5411012.0096232.922499e-07
0.5429412.0090342.804760e-07
0.5447882.008452.686620e-07
0.546642.0078722.568078e-07
0.5484992.0072992.449134e-07
0.552.0068412.353100e-07
0.5503642.0067312.352304e-07
0.5522362.0061682.348217e-07
0.5541142.005612.344115e-07
0.5559982.0050572.340000e-07
0.5578892.0045092.335870e-07
0.5597862.0039662.331727e-07
0.561692.0034272.327570e-07
0.56362.0028932.323398e-07
0.5655162.0023642.319212e-07
0.567442.001842.315012e-07
0.5693692.001322.310798e-07
0.5713052.0008042.306569e-07
0.5732482.0002932.302326e-07
0.5751981.9997872.298068e-07
0.5771541.9992842.293796e-07
0.5791161.9987872.289510e-07
0.5810861.9982932.285209e-07
0.5830621.9978032.280893e-07
0.5850441.9973182.276563e-07
0.5870341.9968372.272218e-07
0.589031.996362.267858e-07
0.5910331.9958872.263483e-07
0.5930431.9954182.259094e-07
0.595061.9949532.254689e-07
0.5970841.9944912.250270e-07
0.5991141.9940342.245835e-07
0.61.9938362.243900e-07
0.6011511.993582.252236e-07
0.6031961.993132.267036e-07
0.6052471.9926842.281887e-07
0.6073051.9922422.296789e-07
0.609371.9918032.311741e-07
0.6114431.9913682.326744e-07
0.6135221.9909372.341798e-07
0.6156081.9905092.356903e-07
0.6177021.9900842.372060e-07
0.6198021.9896632.387268e-07
0.621911.9892452.402528e-07
0.6240251.9888312.417839e-07
0.6261471.988422.433203e-07
0.6282761.9880132.448619e-07
0.6304131.9876092.464088e-07
0.6325561.9872072.479609e-07
0.6347081.986812.495183e-07
0.6368661.9864152.510809e-07
0.6390321.9860242.526489e-07
0.6412051.9856352.542223e-07
0.6433851.985252.558009e-07
0.6455731.9848682.573850e-07
0.6477691.9844892.589744e-07
0.6499711.9841122.605693e-07
0.651.9841082.605900e-07
0.6521821.9837392.573625e-07
0.6543991.9833692.540814e-07
0.6566251.9830022.507892e-07
0.6588581.9826372.474858e-07
0.6610981.9822762.441712e-07
0.6633461.9819172.408453e-07
0.6656021.9815612.375081e-07
0.6678661.9812072.341595e-07
0.6701371.9808572.307995e-07
0.6724161.9805092.274282e-07
0.6747021.9801642.240453e-07
0.6769971.9798212.206510e-07
0.6792991.9794812.172451e-07
0.6816091.9791442.138276e-07
0.6839271.9788092.103985e-07
0.6862531.9784772.069578e-07
0.6885861.9781482.035053e-07
0.6909281.9778212.000411e-07
0.6932781.9774961.965652e-07
0.6956351.9771741.930774e-07
0.6980011.9768541.895777e-07
0.71.9765861.866200e-07
0.7003741.9765371.862398e-07
0.7027561.9762221.838207e-07
0.7051461.9759091.813935e-07
0.7075441.9755991.789580e-07
0.709951.9752911.765142e-07
0.7123641.9749851.740621e-07
0.7147871.9746821.716016e-07
0.7172171.9743811.691328e-07
0.7196561.9740821.666556e-07
0.7221041.9737851.641700e-07
0.7245591.973491.616759e-07
0.7270231.9731981.591734e-07
0.7294961.9729081.566623e-07
0.7319761.9726191.541427e-07
0.7344651.9723331.516145e-07
0.7369631.9720491.490777e-07
0.7394691.9717681.465323e-07
0.7419841.9714881.439783e-07
0.7445071.971211.414155e-07
0.7470391.9709341.388441e-07
0.7495791.970661.362639e-07
0.7521281.9703881.336749e-07
0.7546861.9701181.310771e-07
0.7572521.969851.284705e-07
0.7598281.9695841.258550e-07
0.7624111.969321.232306e-07
0.7650041.9690571.205973e-07
0.7676061.9687971.179551e-07
0.7702161.9685381.153038e-07
0.7728351.9682811.126436e-07
0.7754631.9680261.099743e-07
0.77811.9677731.072959e-07
0.7807461.9675221.046084e-07
0.7834011.9672721.019118e-07
0.7860651.9670249.920599e-08
0.7887381.9667779.649099e-08
0.7914211.9665339.376676e-08
0.7941121.966299.103327e-08
0.7968121.9660498.829048e-08
0.7995221.9658098.553836e-08
0.81.9657678.505300e-08
0.8022411.9655718.480509e-08
0.8049691.9653358.450330e-08
0.8077071.96518.420048e-08
0.8104531.9648678.389663e-08
0.8132091.9646358.359175e-08
0.8159751.9644058.328583e-08
0.8187491.9641778.297887e-08
0.8215341.963958.267087e-08
0.8243271.9637248.236182e-08
0.8271311.96358.205172e-08
0.8299431.9632788.174056e-08
0.8327661.9630578.142835e-08
0.8355981.9628378.111507e-08
0.8384391.9626198.080073e-08
0.841291.9624038.048532e-08
0.8441511.9621888.016884e-08
0.8470221.9619747.985128e-08
0.8499021.9617617.953264e-08
0.8527931.961557.921292e-08
0.8556931.9613417.889211e-08
0.8586031.9611327.857021e-08
0.8615221.9609257.824721e-08
0.8644521.960727.792312e-08
0.8673921.9605157.759792e-08
0.8703411.9603127.727162e-08
0.8733011.960117.694421e-08
0.8762711.959917.661569e-08
0.8792511.9597117.628605e-08
0.8822411.9595137.595528e-08
0.8852411.9593167.562340e-08
0.8882511.9591217.529038e-08
0.8912721.9589267.495623e-08
0.8943031.9587337.462095e-08
0.8973441.9585417.428452e-08
0.9003951.9583517.394695e-08
0.9034571.9581617.360823e-08
0.906531.9579737.326837e-08
0.9096121.9577857.292734e-08
0.9127061.9575997.258516e-08
0.9158091.9574147.224181e-08
0.9189241.957237.189729e-08
0.9220491.9570487.155161e-08
0.9251841.9568667.120474e-08
0.928331.9566857.085670e-08
0.9314871.9565067.050747e-08
0.9346551.9563277.015706e-08
0.9378331.956156.980546e-08
0.9410231.9559736.945265e-08
0.9442231.9557986.909865e-08
0.9474341.9556246.874345e-08
0.9506551.955456.838704e-08
0.9538881.9552786.802941e-08
0.9571321.9551076.767057e-08
0.9603871.9549366.731051e-08
0.9636531.9547676.694923e-08
0.966931.9545986.658671e-08
0.9702181.9544316.622297e-08
0.9735171.9542646.585798e-08
0.9768281.9540996.549176e-08
0.980151.9539346.512429e-08
0.9834831.953776.475557e-08
0.9868271.9536076.438560e-08
0.9901831.9534456.401436e-08
0.993551.9532846.364187e-08
0.9969291.9531246.326811e-08
1.000321.9529646.289308e-08
1.003721.9528066.251677e-08
1.007131.9526486.213918e-08
1.010561.9524916.176031e-08
1.0141.9523356.138015e-08
1.017441.952186.099870e-08
1.02091.9520256.061595e-08
1.024381.9518716.023190e-08
1.027861.9517195.984654e-08
1.031351.9515665.945988e-08
1.034861.9514155.907190e-08
1.038381.9512655.868259e-08
1.041911.9511155.829197e-08
1.045451.9509665.790001e-08
1.049011.9508175.750673e-08
1.052581.950675.711210e-08
1.056161.9505235.671614e-08
1.059751.9503775.631883e-08
1.061.9503675.629100e-08
1.063351.9502315.646902e-08
1.066971.9500875.666105e-08
1.07061.9499435.685373e-08
1.074241.9497995.704707e-08
1.077891.9496575.724106e-08
1.081561.9495155.743572e-08
1.085231.9493735.763104e-08
1.088921.9492325.782702e-08
1.092631.9490925.802366e-08
1.096341.9489535.822098e-08
1.100071.9488145.841897e-08
1.103811.9486765.861763e-08
1.107571.9485385.881696e-08
1.111331.9484015.901697e-08
1.115111.9482655.921767e-08
1.11891.9481295.941904e-08
1.122711.9479945.962111e-08
1.126531.9478595.982385e-08
1.130361.9477256.002729e-08
1.13421.9475926.023142e-08
1.138061.9474596.043624e-08
1.141931.9473276.064176e-08
1.145811.9471956.084798e-08
1.149711.9470636.105490e-08
1.153621.9469336.126253e-08
1.157541.9468026.147086e-08
1.161481.9466736.167990e-08
1.165431.9465436.188965e-08
1.169391.9464156.210011e-08
1.173371.9462866.231129e-08
1.177361.9461586.252318e-08
1.181361.9460316.273580e-08
1.185381.9459046.294914e-08
1.189411.9457786.316321e-08
1.193451.9456526.337800e-08
1.197511.9455276.359352e-08
1.201581.9454026.380978e-08
1.205671.9452776.402677e-08
1.209771.9451536.424450e-08
1.213881.9450296.446297e-08
1.218011.9449066.468219e-08
1.222151.9447836.490214e-08
1.226311.944666.512285e-08
1.230481.9445386.534431e-08
1.234671.9444176.556652e-08
1.238861.9442956.578949e-08
1.243081.9441746.601321e-08
1.24731.9440546.623770e-08
1.251551.9439336.646294e-08
1.25581.9438146.668896e-08
1.260071.9436946.691574e-08
1.264361.9435756.714330e-08
1.268661.9434566.737162e-08
1.272971.9433386.760073e-08
1.27731.943226.783061e-08
1.281641.9431026.806128e-08
1.2861.9429846.829273e-08
1.290381.9428676.852497e-08
1.294761.942756.875799e-08
1.299171.9426346.899181e-08
1.303581.9425176.922643e-08
1.308021.9424016.946184e-08
1.312471.9422866.969805e-08
1.316931.942176.993507e-08
1.321411.9420557.017289e-08
1.32591.941947.041152e-08
1.330411.9418257.065096e-08
1.334931.9417117.089122e-08
1.339471.9415977.113229e-08
1.344031.9414837.137419e-08
1.34861.9413697.161690e-08
1.353181.9412567.186044e-08
1.357791.9411427.210481e-08
1.36241.9410297.235001e-08
1.367041.9409177.259605e-08
1.371691.9408047.284292e-08
1.376351.9406927.309063e-08
1.381031.9405797.333918e-08
1.385731.9404677.358858e-08
1.390441.9403567.383883e-08
1.395171.9402447.408992e-08
1.399911.9401327.434187e-08
1.404671.9400217.459468e-08
1.409451.939917.484835e-08
1.414241.9397997.510288e-08
1.419051.9396887.535827e-08
1.423881.9395777.561454e-08
1.428721.9394677.587167e-08
1.433581.9393567.612968e-08
1.438451.9392467.638857e-08
1.443341.9391367.664834e-08
1.448251.9390267.690899e-08
1.453181.9389167.717053e-08
1.458121.9388067.743296e-08
1.463081.9386967.769628e-08
1.468051.9385867.796049e-08
1.473051.9384777.822560e-08
1.478051.9383677.849162e-08
1.483081.9382587.875854e-08
1.488121.9381487.902637e-08
1.493191.9380397.929510e-08
1.498261.937937.956476e-08
1.51.9378937.965700e-08
1.503361.9378218.126624e-08
1.508471.9377128.371621e-08
1.51361.9376028.617451e-08
1.518751.9374938.864117e-08
1.523911.9373849.111622e-08
1.529091.9372759.359969e-08
1.534291.9371669.609160e-08
1.539511.9370589.859199e-08
1.544751.9369491.011009e-07
1.551.936841.036183e-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
—