Optical constants

Refractive index of K-PSFn203(M) (SUMITA)

K-PSFn203(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
2.01105
Extinction coefficient k
5.88407e-08
Permittivity ε1
4.0443
Permittivity ε2
2.36663e-07
Absorption coefficient α
0.0125836 cm⁻¹
Penetration depth δ = λ/(2πk)
1.58937e+09 nm
Abbe number Vd
20.784
Chromatic dispersion dn/dλ
-0.241159 µm⁻¹
Group index ng
2.15275
Group velocity dispersion
516.891 fs²/mm
Dispersion parameter D
-2819.92 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-PSFn203(M) (SUMITA): K-PSFn203(M)
mat = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-PSFn203(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=3.812992−0.016672868⁢λ2.0+0.067171636⁢λ−2.0+0.0057116528⁢λ−4.0−0.00042822929⁢λ−6.0+7.1278944×10-5⁢λ−8.0

Valid from 0.4 to 1.55 µm.

Coefficients as stored
CiValue
C13.812992
C2-0.016672868
C32.0
C40.067171636
C5-2.0
C60.0057116528
C7-4.0
C8-0.00042822929
C9-6.0
C107.1278944e-05
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 1.26e-05 4.23e-08 -4.24e-10 2.34e-06 8.67e-10 0.308
nd
2.01105
Vd
20.8
density
value: 6170
thermal expansion
value: 8.2e-06, temperature range: 243 343; value: 9.1e-06, temperature range: 293 573
dPgF
0.0298
resistance
acid: 5.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.52e-05 K⁻¹ at 633 nm, dn/dT = 1.01e-05 K⁻¹ at 1310 nm, dn/dT = 9.78e-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-PSFn203(M) (SUMITA), K-PSFn203(M): n and k versus wavelength
λ (µm)nk
0.42.1112735.192600e-06
0.401362.1096924.907574e-06
0.4027252.1081324.621578e-06
0.4040952.1065934.334610e-06
0.4054692.1050754.046666e-06
0.4068482.1035773.757742e-06
0.4082312.1020993.467837e-06
0.4096192.100643.176945e-06
0.4110122.09922.885064e-06
0.412412.0977792.592191e-06
0.4138132.0963772.298321e-06
0.415222.0949932.003452e-06
0.4166322.0936261.707581e-06
0.4180492.0922771.410703e-06
0.419472.0909451.112816e-06
0.422.0904541.001800e-06
0.4208972.0896299.706715e-07
0.4223282.088339.209814e-07
0.4237642.0870488.711224e-07
0.4252052.0857818.210938e-07
0.4266512.084537.708950e-07
0.4281022.0832947.205256e-07
0.4295582.0820736.699849e-07
0.4310192.0808686.192723e-07
0.4324842.0796765.683873e-07
0.4339552.0784995.173292e-07
0.4354312.0773364.660975e-07
0.4369122.0761874.146916e-07
0.4383972.0750523.631108e-07
0.4398882.073933.113547e-07
0.442.0738463.074700e-07
0.4413842.0728212.963870e-07
0.4428852.0717242.843671e-07
0.4443912.0706412.723064e-07
0.4459022.069572.602047e-07
0.4474192.0685112.480618e-07
0.448942.0674652.358776e-07
0.4504672.066432.236520e-07
0.4519992.0654072.113848e-07
0.4535362.0643961.990759e-07
0.4550782.0633951.867251e-07
0.4566262.0624061.743324e-07
0.4581782.0614281.618975e-07
0.4597362.0604611.494203e-07
0.462.0602991.473100e-07
0.46132.0595041.435488e-07
0.4628692.0585581.390098e-07
0.4644432.0576221.344553e-07
0.4660222.0566961.298853e-07
0.4676072.055781.252998e-07
0.4691972.0548741.206987e-07
0.4707922.0539781.160820e-07
0.4723932.0530911.114495e-07
0.4742.0522141.068013e-07
0.4756122.0513451.021373e-07
0.4772292.0504869.745740e-08
0.4788522.0496369.276161e-08
0.482.0490428.944000e-08
0.480482.0487958.856844e-08
0.4821142.0479628.560432e-08
0.4837542.0471388.263013e-08
0.4853992.0463227.964582e-08
0.487052.0455157.665136e-08
0.4887062.0447167.364672e-08
0.4903682.0439257.063186e-08
0.4920352.0431426.760675e-08
0.4937092.0423676.457135e-08
0.4953872.04166.152563e-08
0.4970722.040845.846955e-08
0.4987622.0400885.540308e-08
0.52.0395435.315800e-08
0.5004592.0393435.307248e-08
0.502162.0386065.275509e-08
0.5038682.0378765.243661e-08
0.5055822.0371535.211705e-08
0.5073012.0364375.179640e-08
0.5090262.0357275.147466e-08
0.5107572.0350255.115183e-08
0.5124942.034335.082790e-08
0.5142372.0336415.050287e-08
0.5159852.0329595.017673e-08
0.517742.0322834.984948e-08
0.5195012.0316144.952113e-08
0.5212672.0309514.919165e-08
0.523042.0302944.886105e-08
0.5248192.0296444.852933e-08
0.5266032.0289994.819649e-08
0.5283942.0283614.786251e-08
0.5301912.0277284.752739e-08
0.5319942.0271024.719113e-08
0.5338032.0264814.685374e-08
0.5356182.0258664.651519e-08
0.537442.0252564.617549e-08
0.5392672.0246524.583464e-08
0.5411012.0240544.549263e-08
0.5429412.0234614.514945e-08
0.5447882.0228734.480511e-08
0.546642.0222914.445960e-08
0.5484992.0217144.411291e-08
0.552.0212534.383300e-08
0.5503642.0211424.397844e-08
0.5522362.0205754.472546e-08
0.5541142.0200134.547502e-08
0.5559982.0194574.622714e-08
0.5578892.0189054.698181e-08
0.5597862.0183584.773904e-08
0.561692.0178164.849885e-08
0.56362.0172784.926125e-08
0.5655162.0167465.002623e-08
0.567442.0162185.079382e-08
0.5693692.0156945.156402e-08
0.5713052.0151755.233684e-08
0.5732482.0146615.311229e-08
0.5751982.0141515.389037e-08
0.5771542.0136465.467110e-08
0.5791162.0131445.545448e-08
0.5810862.0126485.624053e-08
0.5830622.0121555.702925e-08
0.5850442.0116675.782066e-08
0.5870342.0111825.861475e-08
0.589032.0107025.941155e-08
0.5910332.0102266.021105e-08
0.5930432.0097546.101327e-08
0.595062.0092866.181823e-08
0.5970842.0088216.262592e-08
0.5991142.0083616.343635e-08
0.62.0081626.379000e-08
0.6011512.0079056.391239e-08
0.6031962.0074526.412969e-08
0.6052472.0070036.434774e-08
0.6073052.0065586.456653e-08
0.609372.0061166.478606e-08
0.6114432.0056786.500634e-08
0.6135222.0052446.522737e-08
0.6156082.0048136.544915e-08
0.6177022.0043866.567168e-08
0.6198022.0039626.589497e-08
0.621912.0035426.611902e-08
0.6240252.0031256.634383e-08
0.6261472.0027126.656941e-08
0.6282762.0023026.679575e-08
0.6304132.0018956.702287e-08
0.6325562.0014916.725075e-08
0.6347082.0010916.747941e-08
0.6368662.0006946.770885e-08
0.6390322.00036.793907e-08
0.6412051.9999096.817007e-08
0.6433851.9995216.840185e-08
0.6455731.9991376.863443e-08
0.6477691.9987556.886780e-08
0.6499711.9983776.910195e-08
0.651.9983726.910500e-08
0.6521821.9980016.933695e-08
0.6543991.9976286.957275e-08
0.6566251.9972596.980935e-08
0.6588581.9968927.004676e-08
0.6610981.9965287.028497e-08
0.6633461.9961677.052399e-08
0.6656021.9958097.076383e-08
0.6678661.9954537.100448e-08
0.6701371.99517.124595e-08
0.6724161.994757.148824e-08
0.6747021.9944037.173135e-08
0.6769971.9940587.197530e-08
0.6792991.9937167.222007e-08
0.6816091.9933767.246567e-08
0.6839271.993047.271211e-08
0.6862531.9927057.295939e-08
0.6885861.9923747.320750e-08
0.6909281.9920447.345646e-08
0.6932781.9917177.370627e-08
0.6956351.9913937.395693e-08
0.6980011.9910717.420844e-08
0.71.9908027.442100e-08
0.7003741.9907527.446080e-08
0.7027561.9904357.471403e-08
0.7051461.990127.496811e-08
0.7075441.9898087.522306e-08
0.709951.9894987.547887e-08
0.7123641.989197.573556e-08
0.7147871.9888847.599312e-08
0.7172171.9885817.625155e-08
0.7196561.988287.651086e-08
0.7221041.9879817.677106e-08
0.7245591.9876857.703214e-08
0.7270231.987397.729411e-08
0.7294961.9870987.755696e-08
0.7319761.9868087.782072e-08
0.7344651.986527.808536e-08
0.7369631.9862347.835091e-08
0.7394691.985957.861737e-08
0.7419841.9856687.888472e-08
0.7445071.9853887.915299e-08
0.7470391.985117.942217e-08
0.7495791.9848347.969226e-08
0.7521281.984567.996328e-08
0.7546861.9842898.023521e-08
0.7572521.9840188.050807e-08
0.7598281.983758.078186e-08
0.7624111.9834848.105658e-08
0.7650041.983228.133223e-08
0.7676061.9829578.160882e-08
0.7702161.9826968.188635e-08
0.7728351.9824388.216483e-08
0.7754631.982188.244425e-08
0.77811.9819258.272462e-08
0.7807461.9816728.300595e-08
0.7834011.981428.328823e-08
0.7860651.981178.357147e-08
0.7887381.9809218.385567e-08
0.7914211.9806758.414085e-08
0.7941121.980438.442699e-08
0.7968121.9801868.471410e-08
0.7995221.9799458.500219e-08
0.81.9799028.505300e-08
0.8022411.9797058.480509e-08
0.8049691.9794668.450330e-08
0.8077071.9792298.420048e-08
0.8104531.9789948.389663e-08
0.8132091.978768.359175e-08
0.8159751.9785288.328583e-08
0.8187491.9782978.297887e-08
0.8215341.9780688.267087e-08
0.8243271.9778418.236182e-08
0.8271311.9776158.205172e-08
0.8299431.977398.174056e-08
0.8327661.9771678.142835e-08
0.8355981.9769458.111507e-08
0.8384391.9767258.080073e-08
0.841291.9765068.048532e-08
0.8441511.9762888.016884e-08
0.8470221.9760727.985128e-08
0.8499021.9758587.953264e-08
0.8527931.9756447.921292e-08
0.8556931.9754327.889211e-08
0.8586031.9752227.857021e-08
0.8615221.9750127.824721e-08
0.8644521.9748047.792312e-08
0.8673921.9745987.759792e-08
0.8703411.9743927.727162e-08
0.8733011.9741887.694421e-08
0.8762711.9739857.661569e-08
0.8792511.9737837.628605e-08
0.8822411.9735837.595528e-08
0.8852411.9733837.562340e-08
0.8882511.9731857.529038e-08
0.8912721.9729897.495623e-08
0.8943031.9727937.462095e-08
0.8973441.9725987.428452e-08
0.9003951.9724057.394695e-08
0.9034571.9722137.360823e-08
0.906531.9720227.326837e-08
0.9096121.9718327.292734e-08
0.9127061.9716437.258516e-08
0.9158091.9714557.224181e-08
0.9189241.9712697.189729e-08
0.9220491.9710837.155161e-08
0.9251841.9708987.120474e-08
0.928331.9707157.085670e-08
0.9314871.9705337.050747e-08
0.9346551.9703517.015706e-08
0.9378331.9701716.980546e-08
0.9410231.9699916.945265e-08
0.9442231.9698136.909865e-08
0.9474341.9696366.874345e-08
0.9506551.9694596.838704e-08
0.9538881.9692846.802941e-08
0.9571321.9691096.767057e-08
0.9603871.9689366.731051e-08
0.9636531.9687636.694923e-08
0.966931.9685916.658671e-08
0.9702181.9684216.622297e-08
0.9735171.9682516.585798e-08
0.9768281.9680826.549176e-08
0.980151.9679146.512429e-08
0.9834831.9677466.475557e-08
0.9868271.967586.438560e-08
0.9901831.9674146.401436e-08
0.993551.967256.364187e-08
0.9969291.9670866.326811e-08
1.000321.9669236.289308e-08
1.003721.9667616.251677e-08
1.007131.9665996.213918e-08
1.010561.9664396.176031e-08
1.0141.9662796.138015e-08
1.017441.966126.099870e-08
1.02091.9659616.061595e-08
1.024381.9658046.023190e-08
1.027861.9656475.984654e-08
1.031351.9654915.945988e-08
1.034861.9653365.907190e-08
1.038381.9651815.868259e-08
1.041911.9650275.829197e-08
1.045451.9648745.790001e-08
1.049011.9647215.750673e-08
1.052581.964575.711210e-08
1.056161.9644195.671614e-08
1.059751.9642685.631883e-08
1.061.9642585.629100e-08
1.063351.9641185.646902e-08
1.066971.9639695.666105e-08
1.07061.9638215.685373e-08
1.074241.9636735.704707e-08
1.077891.9635265.724106e-08
1.081561.9633795.743572e-08
1.085231.9632335.763104e-08
1.088921.9630875.782702e-08
1.092631.9629435.802366e-08
1.096341.9627985.822098e-08
1.100071.9626555.841897e-08
1.103811.9625125.861763e-08
1.107571.9623695.881696e-08
1.111331.9622275.901697e-08
1.115111.9620865.921767e-08
1.11891.9619455.941904e-08
1.122711.9618045.962111e-08
1.126531.9616655.982385e-08
1.130361.9615256.002729e-08
1.13421.9613866.023142e-08
1.138061.9612486.043624e-08
1.141931.961116.064176e-08
1.145811.9609736.084798e-08
1.149711.9608366.105490e-08
1.153621.9606996.126253e-08
1.157541.9605646.147086e-08
1.161481.9604286.167990e-08
1.165431.9602936.188965e-08
1.169391.9601586.210011e-08
1.173371.9600246.231129e-08
1.177361.959896.252318e-08
1.181361.9597576.273580e-08
1.185381.9596246.294914e-08
1.189411.9594916.316321e-08
1.193451.9593596.337800e-08
1.197511.9592286.359352e-08
1.201581.9590966.380978e-08
1.205671.9589656.402677e-08
1.209771.9588346.424450e-08
1.213881.9587046.446297e-08
1.218011.9585746.468219e-08
1.222151.9584456.490214e-08
1.226311.9583156.512285e-08
1.230481.9581866.534431e-08
1.234671.9580586.556652e-08
1.238861.957936.578949e-08
1.243081.9578026.601321e-08
1.24731.9576746.623770e-08
1.251551.9575466.646294e-08
1.25581.9574196.668896e-08
1.260071.9572936.691574e-08
1.264361.9571666.714330e-08
1.268661.957046.737162e-08
1.272971.9569146.760073e-08
1.27731.9567886.783061e-08
1.281641.9566636.806128e-08
1.2861.9565376.829273e-08
1.290381.9564126.852497e-08
1.294761.9562876.875799e-08
1.299171.9561636.899181e-08
1.303581.9560396.922643e-08
1.308021.9559146.946184e-08
1.312471.955796.969805e-08
1.316931.9556676.993507e-08
1.321411.9555437.017289e-08
1.32591.955427.041152e-08
1.330411.9552977.065096e-08
1.334931.9551747.089122e-08
1.339471.9550517.113229e-08
1.344031.9549287.137419e-08
1.34861.9548057.161690e-08
1.353181.9546837.186044e-08
1.357791.9545617.210481e-08
1.36241.9544397.235001e-08
1.367041.9543177.259605e-08
1.371691.9541957.284292e-08
1.376351.9540737.309063e-08
1.381031.9539517.333918e-08
1.385731.953837.358858e-08
1.390441.9537087.383883e-08
1.395171.9535877.408992e-08
1.399911.9534667.434187e-08
1.404671.9533447.459468e-08
1.409451.9532237.484835e-08
1.414241.9531027.510288e-08
1.419051.9529817.535827e-08
1.423881.952867.561454e-08
1.428721.9527397.587167e-08
1.433581.9526187.612968e-08
1.438451.9524977.638857e-08
1.443341.9523777.664834e-08
1.448251.9522567.690899e-08
1.453181.9521357.717053e-08
1.458121.9520147.743296e-08
1.463081.9518937.769628e-08
1.468051.9517737.796049e-08
1.473051.9516527.822560e-08
1.478051.9515317.849162e-08
1.483081.951417.875854e-08
1.488121.9512897.902637e-08
1.493191.9511697.929510e-08
1.498261.9510487.956476e-08
1.51.9510067.965700e-08
1.503361.9509277.983533e-08
1.508471.9508068.010683e-08
1.51361.9506848.037925e-08
1.518751.9505638.065259e-08
1.523911.9504428.092687e-08
1.529091.9503218.120208e-08
1.534291.9501998.147822e-08
1.539511.9500788.175530e-08
1.544751.9499568.203333e-08
1.551.9498358.231230e-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
—