Optical constants

Refractive index of K-PSFn1(M) (SUMITA)

K-PSFn1(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
1.89947
Extinction coefficient k
1.29600e-07
Permittivity ε1
3.60799
Permittivity ε2
4.92341e-07
Absorption coefficient α
0.0277161 cm⁻¹
Penetration depth δ = λ/(2πk)
7.21603e+08 nm
Abbe number Vd
21.355
Chromatic dispersion dn/dλ
-0.209326 µm⁻¹
Group index ng
2.02247
Group velocity dispersion
444.222 fs²/mm
Dispersion parameter D
-2423.47 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(M) (SUMITA): K-PSFn1(M)
sumita_k_psfn1_m = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-PSFn1(M)", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_psfn1_m.range_nm)  # (400, 1550) nm
eps = sumita_k_psfn1_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=3.418365−0.015830577⁢λ2.0+0.056024892⁢λ−2.0+0.0042907055⁢λ−4.0−0.00027089374⁢λ−6.0+4.8560287×10-5⁢λ−8.0

Valid from 0.4 to 1.55 µm.

Coefficients as stored
CiValue
C13.418365
C2-0.015830577
C32.0
C40.056024892
C5-2.0
C60.0042907055
C7-4.0
C8-0.00027089374
C9-6.0
C104.8560287e-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
1.89945
Vd
21.3
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
0.0238
resistance
acid: 1.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 6.60e-07 K⁻¹ at 633 nm, dn/dT = -1.53e-06 K⁻¹ at 1310 nm, dn/dT = -1.67e-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(M) (SUMITA), K-PSFn1(M): n and k versus wavelength
λ (µm)nk
0.41.9853354.263500e-06
0.401361.9844.098529e-06
0.4027251.9826823.932997e-06
0.4040951.9813823.766902e-06
0.4054691.9800983.600243e-06
0.4068481.9788313.433016e-06
0.4082311.977583.265221e-06
0.4096191.9763453.096856e-06
0.4110121.9751262.927917e-06
0.412411.9739222.758405e-06
0.4138131.9727332.588316e-06
0.415221.9715582.417648e-06
0.4166321.9703992.246400e-06
0.4180491.9692542.074570e-06
0.419471.9681221.902155e-06
0.421.9677051.837900e-06
0.4208971.9670051.805549e-06
0.4223281.9659011.753907e-06
0.4237641.964811.702090e-06
0.4252051.9637331.650096e-06
0.4266511.9626681.597926e-06
0.4281021.9616161.545578e-06
0.4295581.9605771.493053e-06
0.4310191.9595491.440348e-06
0.4324841.9585341.387465e-06
0.4339551.9575311.334401e-06
0.4354311.9565391.281158e-06
0.4369121.9555581.227733e-06
0.4383971.9545891.174126e-06
0.4398881.9536311.120337e-06
0.441.953561.116300e-06
0.4413841.9526841.098123e-06
0.4428851.9517481.078409e-06
0.4443911.9508221.058628e-06
0.4459021.9499061.038780e-06
0.4474191.9490011.018864e-06
0.448941.9481069.988806e-07
0.4504671.9472219.788293e-07
0.4519991.9463459.587097e-07
0.4535361.9454799.385218e-07
0.4550781.9446229.182652e-07
0.4566261.9437758.979397e-07
0.4581781.9429378.775451e-07
0.4597361.9421088.570811e-07
0.461.9419698.536200e-07
0.46131.9412878.432042e-07
0.4628691.9404768.306341e-07
0.4644431.9396738.180213e-07
0.4660221.9388798.053657e-07
0.4676071.9380927.926670e-07
0.4691971.9373157.799251e-07
0.4707921.9365457.671398e-07
0.4723931.9357837.543111e-07
0.4741.9350297.414388e-07
0.4756121.9342837.285227e-07
0.4772291.9335457.155627e-07
0.4788521.9328147.025586e-07
0.481.9323036.933600e-07
0.480481.932096.896858e-07
0.4821141.9313746.771904e-07
0.4837541.9306656.646524e-07
0.4853991.9299636.520718e-07
0.487051.9292686.394483e-07
0.4887061.928586.267820e-07
0.4903681.9278996.140726e-07
0.4920351.9272256.013200e-07
0.4937091.9265575.885240e-07
0.4953871.9258965.756845e-07
0.4970721.9252415.628013e-07
0.4987621.9245935.498744e-07
0.51.9241245.404100e-07
0.5004591.9239515.374285e-07
0.502161.9233155.263622e-07
0.5038681.9226865.152584e-07
0.5055821.9220625.041167e-07
0.5073011.9214444.929372e-07
0.5090261.9208324.817197e-07
0.5107571.9202264.704640e-07
0.5124941.9196264.591701e-07
0.5142371.9190314.478377e-07
0.5159851.9184424.364668e-07
0.517741.9178594.250572e-07
0.5195011.9172814.136089e-07
0.5212671.9167084.021216e-07
0.523041.9161413.905952e-07
0.5248191.9155793.790296e-07
0.5266031.9150223.674247e-07
0.5283941.914473.557804e-07
0.5301911.9139233.440964e-07
0.5319941.9133813.323728e-07
0.5338031.9128443.206092e-07
0.5356181.9123123.088056e-07
0.537441.9117852.969620e-07
0.5392671.9112622.850780e-07
0.5411011.9107442.731536e-07
0.5429411.9102312.611887e-07
0.5447881.9097232.491830e-07
0.546641.9092192.371366e-07
0.5484991.9087192.250492e-07
0.551.908322.152900e-07
0.5503641.9082242.144596e-07
0.5522361.9077332.101942e-07
0.5541141.9072462.059144e-07
0.5559981.9067642.016200e-07
0.5578891.9062861.973110e-07
0.5597861.9058121.929874e-07
0.561691.9053421.886490e-07
0.56361.9048771.842959e-07
0.5655161.9044151.799280e-07
0.567441.9039571.755453e-07
0.5693691.9035041.711476e-07
0.5713051.9030541.667350e-07
0.5732481.9026081.623074e-07
0.5751981.9021651.578647e-07
0.5771541.9017271.534069e-07
0.5791161.9012921.489339e-07
0.5810861.9008611.444458e-07
0.5830621.9004331.399423e-07
0.5850441.900011.354236e-07
0.5870341.8995891.308895e-07
0.589031.8991721.263400e-07
0.5910331.8987591.217750e-07
0.5930431.8983491.171945e-07
0.595061.8979431.125984e-07
0.5970841.897541.079867e-07
0.5991141.897141.033593e-07
0.61.8969671.013400e-07
0.6011511.8967431.009276e-07
0.6031961.896351.001953e-07
0.6052471.895969.946058e-08
0.6073051.8955739.872332e-08
0.609371.8951899.798356e-08
0.6114431.8948099.724129e-08
0.6135221.8944319.649649e-08
0.6156081.8940579.574916e-08
0.6177021.8936859.499928e-08
0.6198021.8933179.424686e-08
0.621911.8929519.349188e-08
0.6240251.8925899.273433e-08
0.6261471.8922299.197420e-08
0.6282761.8918729.121149e-08
0.6304131.8915189.044619e-08
0.6325561.8911678.967828e-08
0.6347081.8908198.890776e-08
0.6368661.8904738.813462e-08
0.6390321.890138.735885e-08
0.6412051.889798.658045e-08
0.6433851.8894538.579939e-08
0.6455731.8891188.501569e-08
0.6477691.8887858.422931e-08
0.6499711.8884568.344026e-08
0.651.8884518.343000e-08
0.6521821.8881288.223249e-08
0.6543991.8878048.101513e-08
0.6566251.8874827.979363e-08
0.6588581.8871627.856797e-08
0.6610981.8868457.733815e-08
0.6633461.886537.610414e-08
0.6656021.8862187.486594e-08
0.6678661.8859087.362352e-08
0.6701371.88567.237688e-08
0.6724161.8852957.112601e-08
0.6747021.8849926.987087e-08
0.6769971.8846916.861148e-08
0.6792991.8843936.734779e-08
0.6816091.8840966.607981e-08
0.6839271.8838036.480752e-08
0.6862531.8835116.353090e-08
0.6885861.8832216.224994e-08
0.6909281.8829346.096463e-08
0.6932781.8826485.967494e-08
0.6956351.8823655.838087e-08
0.6980011.8820845.708240e-08
0.71.8818495.598500e-08
0.7003741.8818055.591884e-08
0.7027561.8815285.549792e-08
0.7051461.8812535.507557e-08
0.7075441.880985.465178e-08
0.709951.8807095.422655e-08
0.7123641.880445.379988e-08
0.7147871.8801735.337175e-08
0.7172171.8799085.294217e-08
0.7196561.8796455.251113e-08
0.7221041.8793835.207862e-08
0.7245591.8791245.164465e-08
0.7270231.8788665.120919e-08
0.7294961.878615.077226e-08
0.7319761.8783565.033384e-08
0.7344651.8781044.989392e-08
0.7369631.8778544.945252e-08
0.7394691.8776054.900961e-08
0.7419841.8773584.856519e-08
0.7445071.8771134.811927e-08
0.7470391.876874.767183e-08
0.7495791.8766284.722286e-08
0.7521281.8763884.677237e-08
0.7546861.876154.632035e-08
0.7572521.8759134.586679e-08
0.7598281.8756784.541169e-08
0.7624111.8754444.495504e-08
0.7650041.8752124.449683e-08
0.7676061.8749824.403707e-08
0.7702161.8747534.357575e-08
0.7728351.8745264.311285e-08
0.7754631.8743014.264839e-08
0.77811.8740764.218234e-08
0.7807461.8738544.171471e-08
0.7834011.8736334.124549e-08
0.7860651.8734134.077467e-08
0.7887381.8731954.030225e-08
0.7914211.8729783.982822e-08
0.7941121.8727633.935259e-08
0.7968121.8725493.887533e-08
0.7995221.8723363.839645e-08
0.81.8722993.831200e-08
0.8022411.8721253.812733e-08
0.8049691.8719153.790253e-08
0.8077071.8717073.767695e-08
0.8104531.87153.745061e-08
0.8132091.8712943.722351e-08
0.8159751.871093.699563e-08
0.8187491.8708873.676697e-08
0.8215341.8706853.653754e-08
0.8243271.8704853.630732e-08
0.8271311.8702853.607633e-08
0.8299431.8700883.584454e-08
0.8327661.8698913.561197e-08
0.8355981.8696953.537861e-08
0.8384391.8695013.514446e-08
0.841291.8693083.490951e-08
0.8441511.8691163.467376e-08
0.8470221.8689253.443721e-08
0.8499021.8687363.419985e-08
0.8527931.8685483.396169e-08
0.8556931.868363.372271e-08
0.8586031.8681743.348293e-08
0.8615221.8679893.324233e-08
0.8644521.8678053.300091e-08
0.8673921.8676233.275867e-08
0.8703411.8674413.251560e-08
0.8733011.8672613.227171e-08
0.8762711.8670813.202699e-08
0.8792511.8669033.178144e-08
0.8822411.8667253.153505e-08
0.8852411.8665493.128783e-08
0.8882511.8663733.103976e-08
0.8912721.8661993.079085e-08
0.8943031.8660263.054110e-08
0.8973441.8658533.029049e-08
0.9003951.8656823.003903e-08
0.9034571.8655112.978672e-08
0.906531.8653422.953355e-08
0.9096121.8651742.927952e-08
0.9127061.8650062.902462e-08
0.9158091.8648392.876886e-08
0.9189241.8646742.851223e-08
0.9220491.8645092.825472e-08
0.9251841.8643452.799634e-08
0.928331.8641822.773708e-08
0.9314871.864022.747694e-08
0.9346551.8638582.721592e-08
0.9378331.8636982.695401e-08
0.9410231.8635382.669120e-08
0.9442231.863382.642750e-08
0.9474341.8632222.616291e-08
0.9506551.8630642.589742e-08
0.9538881.8629082.563102e-08
0.9571321.8627532.536372e-08
0.9603871.8625982.509551e-08
0.9636531.8624442.482638e-08
0.966931.8622912.455634e-08
0.9702181.8621392.428539e-08
0.9735171.8619872.401351e-08
0.9768281.8618362.374070e-08
0.980151.8616862.346697e-08
0.9834831.8615362.319231e-08
0.9868271.8613882.291672e-08
0.9901831.861242.264018e-08
0.993551.8610932.236271e-08
0.9969291.8609462.208429e-08
1.000321.86082.180493e-08
1.003721.8606552.152462e-08
1.007131.860512.124335e-08
1.010561.8603662.096113e-08
1.0141.8602232.067794e-08
1.017441.8600812.039380e-08
1.02091.8599392.010868e-08
1.024381.8597971.982260e-08
1.027861.8596571.953555e-08
1.031351.8595161.924752e-08
1.034861.8593771.895851e-08
1.038381.8592381.866851e-08
1.041911.85911.837753e-08
1.045451.8589621.808557e-08
1.049011.8588251.779260e-08
1.052581.8586881.749865e-08
1.056161.8585521.720369e-08
1.059751.8584171.690773e-08
1.061.8584071.688700e-08
1.063351.8582821.730564e-08
1.066971.8581471.775722e-08
1.07061.8580141.821033e-08
1.074241.857881.866499e-08
1.077891.8577471.912119e-08
1.081561.8576151.957895e-08
1.085231.8574832.003826e-08
1.088921.8573522.049913e-08
1.092631.8572212.096157e-08
1.096341.8570912.142558e-08
1.100071.8569612.189117e-08
1.103811.8568312.235834e-08
1.107571.8567022.282711e-08
1.111331.8565742.329746e-08
1.115111.8564452.376942e-08
1.11891.8563182.424298e-08
1.122711.856192.471815e-08
1.126531.8560642.519494e-08
1.130361.8559372.567335e-08
1.13421.8558112.615338e-08
1.138061.8556852.663505e-08
1.141931.855562.711835e-08
1.145811.8554352.760330e-08
1.149711.8553112.808990e-08
1.153621.8551872.857815e-08
1.157541.8550632.906807e-08
1.161481.854942.955965e-08
1.165431.8548173.005290e-08
1.169391.8546943.054783e-08
1.173371.8545713.104444e-08
1.177361.8544493.154274e-08
1.181361.8543283.204273e-08
1.185381.8542063.254443e-08
1.189411.8540853.304783e-08
1.193451.8539643.355294e-08
1.197511.8538443.405977e-08
1.201581.8537243.456833e-08
1.205671.8536043.507861e-08
1.209771.8534843.559063e-08
1.213881.8533653.610439e-08
1.218011.8532463.661990e-08
1.222151.8531273.713716e-08
1.226311.8530083.765618e-08
1.230481.852893.817696e-08
1.234671.8527723.869952e-08
1.238861.8526543.922385e-08
1.243081.8525363.974996e-08
1.24731.8524194.027787e-08
1.251551.8523024.080757e-08
1.25581.8521854.133907e-08
1.260071.8520684.187238e-08
1.264361.8519524.240750e-08
1.268661.8518354.294444e-08
1.272971.8517194.348321e-08
1.27731.8516034.402381e-08
1.281641.8514874.456625e-08
1.2861.8513714.511053e-08
1.290381.8512564.565666e-08
1.294761.8511414.620465e-08
1.299171.8510254.675451e-08
1.303581.850914.730623e-08
1.308021.8507954.785983e-08
1.312471.8506814.841532e-08
1.316931.8505664.897269e-08
1.321411.8504514.953196e-08
1.32591.8503375.009312e-08
1.330411.8502235.065620e-08
1.334931.8501085.122119e-08
1.339471.8499945.178811e-08
1.344031.849885.235695e-08
1.34861.8497665.292773e-08
1.353181.8496525.350044e-08
1.357791.8495385.407511e-08
1.36241.8494255.465173e-08
1.367041.8493115.523031e-08
1.371691.8491975.581085e-08
1.376351.8490845.639337e-08
1.381031.848975.697788e-08
1.385731.8488575.756437e-08
1.390441.8487435.815285e-08
1.395171.848635.874334e-08
1.399911.8485165.933583e-08
1.404671.8484035.993034e-08
1.409451.848296.052687e-08
1.414241.8481766.112543e-08
1.419051.8480636.172602e-08
1.423881.847956.232866e-08
1.428721.8478366.293335e-08
1.433581.8477236.354009e-08
1.438451.8476096.414889e-08
1.443341.8474966.475977e-08
1.448251.8473826.537272e-08
1.453181.8472696.598776e-08
1.458121.8471556.660489e-08
1.463081.8470416.722412e-08
1.468051.8469286.784545e-08
1.473051.8468146.846890e-08
1.478051.84676.909446e-08
1.483081.8465866.972216e-08
1.488121.8464727.035199e-08
1.493191.8463587.098396e-08
1.498261.8462447.161808e-08
1.51.8462057.183500e-08
1.503361.8461297.405877e-08
1.508471.8460157.744432e-08
1.51361.84598.084138e-08
1.518751.8457868.425000e-08
1.523911.8456718.767021e-08
1.529091.8455569.110204e-08
1.534291.8454419.454555e-08
1.539511.8453269.800077e-08
1.544751.8452111.014677e-07
1.551.8450951.049465e-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
—