Optical constants

Refractive index of K-PSFn1 (SUMITA)

K-PSFn1: 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
1.90681
Extinction coefficient k
1.29600e-07
Permittivity ε1
3.63594
Permittivity ε2
4.94245e-07
Absorption coefficient α
0.0277161 cm⁻¹
Penetration depth δ = λ/(2πk)
7.21603e+08 nm
Abbe number Vd
21.171
Chromatic dispersion dn/dλ
-0.212705 µm⁻¹
Group index ng
2.0318
Group velocity dispersion
452.068 fs²/mm
Dispersion parameter D
-2466.27 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-PSFn1 (SUMITA): K-PSFn1
sumita_k_psfn1 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-PSFn1", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_psfn1.range_nm)  # (400, 1550) nm
eps = sumita_k_psfn1.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=3.4407637−0.015750622⁢λ2.0+0.059024249⁢λ−2.0+0.0035647556⁢λ−4.0−0.00012641103⁢λ−6.0+4.0309245×10-5⁢λ−8.0

Valid from 0.4 to 1.55 µm.

Coefficients as stored
CiValue
C13.4407637
C2-0.015750622
C32.0
C40.059024249
C5-2.0
C60.0035647556
C7-4.0
C8-0.00012641103
C9-6.0
C104.0309245e-05
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -3.11e-06 1.75e-08 -2.81e-10 1.25e-06 1.62e-09 0.307
nd
1.90680
Vd
21.2
glass code
907212
density
value: 4150
thermal expansion
value: 7.4e-06, temperature range: 243 343; value: 1.02e-05, temperature range: 293 573
dPgF
0.0245
resistance
acid: 1.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 6.65e-07 K⁻¹ at 633 nm, dn/dT = -1.54e-06 K⁻¹ at 1310 nm, dn/dT = -1.68e-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-PSFn1 (SUMITA), K-PSFn1: n and k versus wavelength
λ (µm)nk
0.41.9942514.263500e-06
0.401361.9928934.098529e-06
0.4027251.9915523.932997e-06
0.4040951.9902283.766902e-06
0.4054691.9889213.600243e-06
0.4068481.9876313.433016e-06
0.4082311.9863573.265221e-06
0.4096191.9850993.096856e-06
0.4110121.9838572.927917e-06
0.412411.9826312.758405e-06
0.4138131.9814192.588316e-06
0.415221.9802232.417648e-06
0.4166321.9790422.246400e-06
0.4180491.9778752.074570e-06
0.419471.9767221.902155e-06
0.421.9762971.837900e-06
0.4208971.9755831.805549e-06
0.4223281.9744581.753907e-06
0.4237641.9733471.702090e-06
0.4252051.9722491.650096e-06
0.4266511.9711641.597926e-06
0.4281021.9700921.545578e-06
0.4295581.9690321.493053e-06
0.4310191.9679851.440348e-06
0.4324841.966951.387465e-06
0.4339551.9659271.334401e-06
0.4354311.9649161.281158e-06
0.4369121.9639171.227733e-06
0.4383971.9629291.174126e-06
0.4398881.9619531.120337e-06
0.441.961881.116300e-06
0.4413841.9609871.098123e-06
0.4428851.9600331.078409e-06
0.4443911.9590891.058628e-06
0.4459021.9581561.038780e-06
0.4474191.9572331.018864e-06
0.448941.956329.988806e-07
0.4504671.9554189.788293e-07
0.4519991.9545259.587097e-07
0.4535361.9536439.385218e-07
0.4550781.952779.182652e-07
0.4566261.9519068.979397e-07
0.4581781.9510528.775451e-07
0.4597361.9502078.570811e-07
0.461.9500658.536200e-07
0.46131.9493718.432042e-07
0.4628691.9485448.306341e-07
0.4644431.9477258.180213e-07
0.4660221.9469168.053657e-07
0.4676071.9461157.926670e-07
0.4691971.9453227.799251e-07
0.4707921.9445387.671398e-07
0.4723931.9437627.543111e-07
0.4741.9429947.414388e-07
0.4756121.9422347.285227e-07
0.4772291.9414817.155627e-07
0.4788521.9407377.025586e-07
0.481.9402166.933600e-07
0.480481.946.896858e-07
0.4821141.939276.771904e-07
0.4837541.9385486.646524e-07
0.4853991.9378336.520718e-07
0.487051.9371256.394483e-07
0.4887061.9364256.267820e-07
0.4903681.9357316.140726e-07
0.4920351.9350456.013200e-07
0.4937091.9343655.885240e-07
0.4953871.9336925.756845e-07
0.4970721.9330255.628013e-07
0.4987621.9323655.498744e-07
0.51.9318875.404100e-07
0.5004591.9317115.374285e-07
0.502161.9310645.263622e-07
0.5038681.9304235.152584e-07
0.5055821.9297885.041167e-07
0.5073011.9291594.929372e-07
0.5090261.9285374.817197e-07
0.5107571.927924.704640e-07
0.5124941.9273094.591701e-07
0.5142371.9267044.478377e-07
0.5159851.9261054.364668e-07
0.517741.9255114.250572e-07
0.5195011.9249234.136089e-07
0.5212671.924344.021216e-07
0.523041.9237633.905952e-07
0.5248191.9231913.790296e-07
0.5266031.9226243.674247e-07
0.5283941.9220633.557804e-07
0.5301911.9215073.440964e-07
0.5319941.9209563.323728e-07
0.5338031.9204093.206092e-07
0.5356181.9198683.088056e-07
0.537441.9193322.969620e-07
0.5392671.9188012.850780e-07
0.5411011.9182742.731536e-07
0.5429411.9177522.611887e-07
0.5447881.9172352.491830e-07
0.546641.9167232.371366e-07
0.5484991.9162152.250492e-07
0.551.9158092.152900e-07
0.5503641.9157112.144596e-07
0.5522361.9152122.101942e-07
0.5541141.9147182.059144e-07
0.5559981.9142272.016200e-07
0.5578891.9137411.973110e-07
0.5597861.913261.929874e-07
0.561691.9127821.886490e-07
0.56361.9123091.842959e-07
0.5655161.9118391.799280e-07
0.567441.9113741.755453e-07
0.5693691.9109131.711476e-07
0.5713051.9104561.667350e-07
0.5732481.9100021.623074e-07
0.5751981.9095531.578647e-07
0.5771541.9091071.534069e-07
0.5791161.9086661.489339e-07
0.5810861.9082271.444458e-07
0.5830621.9077931.399423e-07
0.5850441.9073621.354236e-07
0.5870341.9069351.308895e-07
0.589031.9065121.263400e-07
0.5910331.9060921.217750e-07
0.5930431.9056751.171945e-07
0.595061.9052621.125984e-07
0.5970841.9048521.079867e-07
0.5991141.9044461.033593e-07
0.61.904271.013400e-07
0.6011511.9040431.009276e-07
0.6031961.9036441.001953e-07
0.6052471.9032489.946058e-08
0.6073051.9028549.872332e-08
0.609371.9024659.798356e-08
0.6114431.9020789.724129e-08
0.6135221.9016949.649649e-08
0.6156081.9013149.574916e-08
0.6177021.9009379.499928e-08
0.6198021.9005629.424686e-08
0.621911.9001919.349188e-08
0.6240251.8998239.273433e-08
0.6261471.8994579.197420e-08
0.6282761.8990959.121149e-08
0.6304131.8987359.044619e-08
0.6325561.8983788.967828e-08
0.6347081.8980248.890776e-08
0.6368661.8976738.813462e-08
0.6390321.8973258.735885e-08
0.6412051.8969798.658045e-08
0.6433851.8966368.579939e-08
0.6455731.8962968.501569e-08
0.6477691.8959588.422931e-08
0.6499711.8956238.344026e-08
0.651.8956198.343000e-08
0.6521821.8952918.223249e-08
0.6543991.8949618.101513e-08
0.6566251.8946337.979363e-08
0.6588581.8943097.856797e-08
0.6610981.8939867.733815e-08
0.6633461.8936667.610414e-08
0.6656021.8933497.486594e-08
0.6678661.8930347.362352e-08
0.6701371.8927217.237688e-08
0.6724161.8924117.112601e-08
0.6747021.8921036.987087e-08
0.6769971.8917986.861148e-08
0.6792991.8914946.734779e-08
0.6816091.8911936.607981e-08
0.6839271.8908946.480752e-08
0.6862531.8905986.353090e-08
0.6885861.8903036.224994e-08
0.6909281.8900116.096463e-08
0.6932781.8897215.967494e-08
0.6956351.8894335.838087e-08
0.6980011.8891485.708240e-08
0.71.8889085.598500e-08
0.7003741.8888645.591884e-08
0.7027561.8885825.549792e-08
0.7051461.8883035.507557e-08
0.7075441.8880255.465178e-08
0.709951.887755.422655e-08
0.7123641.8874765.379988e-08
0.7147871.8872055.337175e-08
0.7172171.8869355.294217e-08
0.7196561.8866675.251113e-08
0.7221041.8864025.207862e-08
0.7245591.8861385.164465e-08
0.7270231.8858765.120919e-08
0.7294961.8856165.077226e-08
0.7319761.8853575.033384e-08
0.7344651.8851014.989392e-08
0.7369631.8848464.945252e-08
0.7394691.8845944.900961e-08
0.7419841.8843424.856519e-08
0.7445071.8840934.811927e-08
0.7470391.8838454.767183e-08
0.7495791.88364.722286e-08
0.7521281.8833554.677237e-08
0.7546861.8831134.632035e-08
0.7572521.8828724.586679e-08
0.7598281.8826334.541169e-08
0.7624111.8823954.495504e-08
0.7650041.8821594.449683e-08
0.7676061.8819254.403707e-08
0.7702161.8816924.357575e-08
0.7728351.8814614.311285e-08
0.7754631.8812314.264839e-08
0.77811.8810034.218234e-08
0.7807461.8807774.171471e-08
0.7834011.8805514.124549e-08
0.7860651.8803284.077467e-08
0.7887381.8801064.030225e-08
0.7914211.8798853.982822e-08
0.7941121.8796663.935259e-08
0.7968121.8794483.887533e-08
0.7995221.8792323.839645e-08
0.81.8791943.831200e-08
0.8022411.8790173.812733e-08
0.8049691.8788033.790253e-08
0.8077071.8785913.767695e-08
0.8104531.878383.745061e-08
0.8132091.8781713.722351e-08
0.8159751.8779633.699563e-08
0.8187491.8777563.676697e-08
0.8215341.8775513.653754e-08
0.8243271.8773463.630732e-08
0.8271311.8771443.607633e-08
0.8299431.8769423.584454e-08
0.8327661.8767423.561197e-08
0.8355981.8765423.537861e-08
0.8384391.8763453.514446e-08
0.841291.8761483.490951e-08
0.8441511.8759523.467376e-08
0.8470221.8757583.443721e-08
0.8499021.8755653.419985e-08
0.8527931.8753733.396169e-08
0.8556931.8751823.372271e-08
0.8586031.8749933.348293e-08
0.8615221.8748043.324233e-08
0.8644521.8746173.300091e-08
0.8673921.8744313.275867e-08
0.8703411.8742463.251560e-08
0.8733011.8740623.227171e-08
0.8762711.8738793.202699e-08
0.8792511.8736973.178144e-08
0.8822411.8735163.153505e-08
0.8852411.8733363.128783e-08
0.8882511.8731583.103976e-08
0.8912721.872983.079085e-08
0.8943031.8728033.054110e-08
0.8973441.8726283.029049e-08
0.9003951.8724533.003903e-08
0.9034571.8722792.978672e-08
0.906531.8721062.953355e-08
0.9096121.8719352.927952e-08
0.9127061.8717642.902462e-08
0.9158091.8715942.876886e-08
0.9189241.8714252.851223e-08
0.9220491.8712572.825472e-08
0.9251841.871092.799634e-08
0.928331.8709242.773708e-08
0.9314871.8707582.747694e-08
0.9346551.8705942.721592e-08
0.9378331.870432.695401e-08
0.9410231.8702672.669120e-08
0.9442231.8701062.642750e-08
0.9474341.8699452.616291e-08
0.9506551.8697842.589742e-08
0.9538881.8696252.563102e-08
0.9571321.8694662.536372e-08
0.9603871.8693092.509551e-08
0.9636531.8691522.482638e-08
0.966931.8689962.455634e-08
0.9702181.868842.428539e-08
0.9735171.8686862.401351e-08
0.9768281.8685322.374070e-08
0.980151.8683792.346697e-08
0.9834831.8682262.319231e-08
0.9868271.8680752.291672e-08
0.9901831.8679242.264018e-08
0.993551.8677742.236271e-08
0.9969291.8676242.208429e-08
1.000321.8674752.180493e-08
1.003721.8673272.152462e-08
1.007131.867182.124335e-08
1.010561.8670332.096113e-08
1.0141.8668872.067794e-08
1.017441.8667422.039380e-08
1.02091.8665972.010868e-08
1.024381.8664531.982260e-08
1.027861.8663091.953555e-08
1.031351.8661661.924752e-08
1.034861.8660241.895851e-08
1.038381.8658831.866851e-08
1.041911.8657421.837753e-08
1.045451.8656011.808557e-08
1.049011.8654611.779260e-08
1.052581.8653221.749865e-08
1.056161.8651831.720369e-08
1.059751.8650451.690773e-08
1.061.8650361.688700e-08
1.063351.8649081.730564e-08
1.066971.8647711.775722e-08
1.07061.8646341.821033e-08
1.074241.8644981.866499e-08
1.077891.8643631.912119e-08
1.081561.8642281.957895e-08
1.085231.8640932.003826e-08
1.088921.8639592.049913e-08
1.092631.8638262.096157e-08
1.096341.8636932.142558e-08
1.100071.8635612.189117e-08
1.103811.8634292.235834e-08
1.107571.8632972.282711e-08
1.111331.8631662.329746e-08
1.115111.8630362.376942e-08
1.11891.8629062.424298e-08
1.122711.8627762.471815e-08
1.126531.8626472.519494e-08
1.130361.8625182.567335e-08
1.13421.8623892.615338e-08
1.138061.8622612.663505e-08
1.141931.8621342.711835e-08
1.145811.8620072.760330e-08
1.149711.861882.808990e-08
1.153621.8617532.857815e-08
1.157541.8616272.906807e-08
1.161481.8615022.955965e-08
1.165431.8613763.005290e-08
1.169391.8612513.054783e-08
1.173371.8611273.104444e-08
1.177361.8610023.154274e-08
1.181361.8608793.204273e-08
1.185381.8607553.254443e-08
1.189411.8606323.304783e-08
1.193451.8605093.355294e-08
1.197511.8603863.405977e-08
1.201581.8602643.456833e-08
1.205671.8601423.507861e-08
1.209771.860023.559063e-08
1.213881.8598993.610439e-08
1.218011.8597773.661990e-08
1.222151.8596563.713716e-08
1.226311.8595363.765618e-08
1.230481.8594153.817696e-08
1.234671.8592953.869952e-08
1.238861.8591753.922385e-08
1.243081.8590563.974996e-08
1.24731.8589364.027787e-08
1.251551.8588174.080757e-08
1.25581.8586984.133907e-08
1.260071.858584.187238e-08
1.264361.8584614.240750e-08
1.268661.8583434.294444e-08
1.272971.8582254.348321e-08
1.27731.8581074.402381e-08
1.281641.8579894.456625e-08
1.2861.8578714.511053e-08
1.290381.8577544.565666e-08
1.294761.8576374.620465e-08
1.299171.857524.675451e-08
1.303581.8574034.730623e-08
1.308021.8572864.785983e-08
1.312471.857174.841532e-08
1.316931.8570534.897269e-08
1.321411.8569374.953196e-08
1.32591.8568215.009312e-08
1.330411.8567055.065620e-08
1.334931.8565895.122119e-08
1.339471.8564735.178811e-08
1.344031.8563575.235695e-08
1.34861.8562415.292773e-08
1.353181.8561265.350044e-08
1.357791.856015.407511e-08
1.36241.8558955.465173e-08
1.367041.855785.523031e-08
1.371691.8556645.581085e-08
1.376351.8555495.639337e-08
1.381031.8554345.697788e-08
1.385731.8553195.756437e-08
1.390441.8552045.815285e-08
1.395171.8550895.874334e-08
1.399911.8549745.933583e-08
1.404671.8548595.993034e-08
1.409451.8547446.052687e-08
1.414241.8546296.112543e-08
1.419051.8545146.172602e-08
1.423881.85446.232866e-08
1.428721.8542856.293335e-08
1.433581.854176.354009e-08
1.438451.8540556.414889e-08
1.443341.853946.475977e-08
1.448251.8538256.537272e-08
1.453181.853716.598776e-08
1.458121.8535956.660489e-08
1.463081.853486.722412e-08
1.468051.8533656.784545e-08
1.473051.853256.846890e-08
1.478051.8531356.909446e-08
1.483081.853026.972216e-08
1.488121.8529047.035199e-08
1.493191.8527897.098396e-08
1.498261.8526737.161808e-08
1.51.8526347.183500e-08
1.503361.8525587.405877e-08
1.508471.8524427.744432e-08
1.51361.8523268.084138e-08
1.518751.8522118.425000e-08
1.523911.8520958.767021e-08
1.529091.8519799.110204e-08
1.534291.8518629.454555e-08
1.539511.8517469.800077e-08
1.544751.851631.014677e-07
1.551.8515131.049465e-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
—