Optical constants

Refractive index of K-PSFn3(M) (SUMITA)

K-PSFn3(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
1.83352
Extinction coefficient k
5.58020e-08
Permittivity ε1
3.36181
Permittivity ε2
2.04629e-07
Absorption coefficient α
0.0119338 cm⁻¹
Penetration depth δ = λ/(2πk)
1.67592e+09 nm
Abbe number Vd
24.043
Chromatic dispersion dn/dλ
-0.172992 µm⁻¹
Group index ng
1.93517
Group velocity dispersion
360.89 fs²/mm
Dispersion parameter D
-1968.85 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-PSFn3(M) (SUMITA): K-PSFn3(M)
sumita_k_psfn3_m = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-PSFn3(M)", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_psfn3_m.range_nm)  # (400, 1550) nm
eps = sumita_k_psfn3_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=3.2096325−0.014576663⁢λ2.0+0.046141656⁢λ−2.0+0.0029954432⁢λ−4.0−0.00015107775⁢λ−6.0+3.0074532×10-5⁢λ−8.0

Valid from 0.4 to 1.55 µm.

Coefficients as stored
CiValue
C13.2096325
C2-0.014576663
C32.0
C40.046141656
C5-2.0
C60.0029954432
C7-4.0
C8-0.00015107775
C9-6.0
C103.0074532e-05
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -8.51e-06 1.46e-08 -1.46e-10 1.13e-06 1.15e-09 0.294
nd
1.83352
Vd
24.0
glass code
839239
density
value: 3900
thermal expansion
value: 9.3e-06, temperature range: 243 343; value: 1.18e-05, temperature range: 293 573
dPgF
0.0182
resistance
acid: 1.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -3.14e-06 K⁻¹ at 633 nm, dn/dT = -4.82e-06 K⁻¹ at 1310 nm, dn/dT = -4.92e-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-PSFn3(M) (SUMITA), K-PSFn3(M): n and k versus wavelength
λ (µm)nk
0.41.9030771.979100e-06
0.401361.9020171.903909e-06
0.4027251.9009711.828462e-06
0.4040951.8999381.752759e-06
0.4054691.8989171.676798e-06
0.4068481.8979091.600579e-06
0.4082311.8969131.524100e-06
0.4096191.8959291.447362e-06
0.4110121.8949571.370363e-06
0.412411.8939971.293101e-06
0.4138131.8930481.215578e-06
0.415221.8921111.137790e-06
0.4166321.8911841.059738e-06
0.4180491.8902699.814204e-07
0.419471.8893649.028365e-07
0.421.889038.735500e-07
0.4208971.888478.562473e-07
0.4223281.8875868.286274e-07
0.4237641.8867128.009135e-07
0.4252051.8858497.731053e-07
0.4266511.8849957.452026e-07
0.4281021.8841517.172050e-07
0.4295581.8833166.891122e-07
0.4310191.8824916.609238e-07
0.4324841.8816756.326396e-07
0.4339551.8808686.042592e-07
0.4354311.8800715.757823e-07
0.4369121.8792825.472086e-07
0.4383971.8785015.185377e-07
0.4398881.877734.897693e-07
0.441.8776724.876100e-07
0.4413841.8769664.766467e-07
0.4428851.8762114.647567e-07
0.4443911.8754644.528262e-07
0.4459021.8747254.408552e-07
0.4474191.8739944.288435e-07
0.448941.8732714.167909e-07
0.4504671.8725564.046974e-07
0.4519991.8718483.925627e-07
0.4535361.8711473.803867e-07
0.4550781.8704543.681694e-07
0.4566261.8697693.559105e-07
0.4581781.869093.436099e-07
0.4597361.8684183.312675e-07
0.461.8683053.291800e-07
0.46131.8677533.239402e-07
0.4628691.8670953.176168e-07
0.4644431.8664443.112718e-07
0.4660221.8657993.049053e-07
0.4676071.8651612.985171e-07
0.4691971.864532.921072e-07
0.4707921.8639042.856755e-07
0.4723931.8632852.792219e-07
0.4741.8626732.727464e-07
0.4756121.8620662.662489e-07
0.4772291.8614652.597292e-07
0.4788521.860872.531874e-07
0.481.8604542.485600e-07
0.480481.8602812.469899e-07
0.4821141.8596982.416502e-07
0.4837541.8591212.362924e-07
0.4853991.8585492.309163e-07
0.487051.8579822.255220e-07
0.4887061.8574212.201093e-07
0.4903681.8568662.146782e-07
0.4920351.8563162.092286e-07
0.4937091.8557712.037605e-07
0.4953871.8552311.982738e-07
0.4970721.8546961.927685e-07
0.4987621.8541671.872444e-07
0.51.8537831.832000e-07
0.5004591.8536421.822490e-07
0.502161.8531221.787193e-07
0.5038681.8526071.751776e-07
0.5055821.8520971.716238e-07
0.5073011.8515921.680580e-07
0.5090261.8510911.644800e-07
0.5107571.8505951.608899e-07
0.5124941.8501041.572875e-07
0.5142371.8496171.536729e-07
0.5159851.8491341.500460e-07
0.517741.8486561.464068e-07
0.5195011.8481821.427552e-07
0.5212671.8477131.390912e-07
0.523041.8472481.354147e-07
0.5248191.8467861.317258e-07
0.5266031.846331.280242e-07
0.5283941.8458771.243101e-07
0.5301911.8454281.205834e-07
0.5319941.8449831.168440e-07
0.5338031.8445421.130918e-07
0.5356181.8441051.093270e-07
0.537441.8436721.055493e-07
0.5392671.8432421.017587e-07
0.5411011.8428169.795530e-08
0.5429411.8423959.413894e-08
0.5447881.8419769.030960e-08
0.546641.8415628.646724e-08
0.5484991.841158.261181e-08
0.551.8408227.949900e-08
0.5503641.8407437.926935e-08
0.5522361.8403397.808981e-08
0.5541141.8399387.690625e-08
0.5559981.8395417.571867e-08
0.5578891.8391477.452705e-08
0.5597861.8387577.333138e-08
0.561691.838377.213164e-08
0.56361.8379867.092783e-08
0.5655161.8376056.971991e-08
0.567441.8372286.850790e-08
0.5693691.8368546.729176e-08
0.5713051.8364826.607148e-08
0.5732481.8361146.484705e-08
0.5751981.8357496.361846e-08
0.5771541.8353876.238570e-08
0.5791161.8350296.114874e-08
0.5810861.8346735.990757e-08
0.5830621.8343195.866218e-08
0.5850441.8339695.741256e-08
0.5870341.8336225.615869e-08
0.589031.8332775.490056e-08
0.5910331.8329365.363814e-08
0.5930431.8325975.237143e-08
0.595061.8322615.110042e-08
0.5970841.8319274.982508e-08
0.5991141.8315974.854541e-08
0.61.8314534.798700e-08
0.6011511.8312684.771869e-08
0.6031961.8309434.724229e-08
0.6052471.830624.676427e-08
0.6073051.83034.628463e-08
0.609371.8299824.580335e-08
0.6114431.8296674.532043e-08
0.6135221.8293544.483588e-08
0.6156081.8290444.434967e-08
0.6177021.8287364.386182e-08
0.6198021.8284314.337230e-08
0.621911.8281284.288112e-08
0.6240251.8278274.238827e-08
0.6261471.8275294.189374e-08
0.6282761.8272334.139753e-08
0.6304131.8269394.089963e-08
0.6325561.8266484.040004e-08
0.6347081.8263593.989876e-08
0.6368661.8260723.939576e-08
0.6390321.8257873.889106e-08
0.6412051.8255043.838464e-08
0.6433851.8252243.787650e-08
0.6455731.8249463.736663e-08
0.6477691.824673.685502e-08
0.6499711.8243963.634168e-08
0.651.8243923.633500e-08
0.6521821.8241243.645695e-08
0.6543991.8238543.658093e-08
0.6566251.8235863.670533e-08
0.6588581.823323.683015e-08
0.6610981.8230563.695539e-08
0.6633461.8227943.708107e-08
0.6656021.8225343.720716e-08
0.6678661.8222763.733369e-08
0.6701371.822023.746065e-08
0.6724161.8217663.758804e-08
0.6747021.8215133.771586e-08
0.6769971.8212633.784412e-08
0.6792991.8210143.797281e-08
0.6816091.8207673.810194e-08
0.6839271.8205223.823151e-08
0.6862531.8202793.836152e-08
0.6885861.8200383.849198e-08
0.6909281.8197983.862287e-08
0.6932781.819563.875422e-08
0.6956351.8193233.888600e-08
0.6980011.8190893.901824e-08
0.71.8188933.913000e-08
0.7003741.8188563.910297e-08
0.7027561.8186253.893104e-08
0.7051461.8183953.875852e-08
0.7075441.8181673.858541e-08
0.709951.8179413.841172e-08
0.7123641.8177163.823743e-08
0.7147871.8174933.806255e-08
0.7172171.8172713.788708e-08
0.7196561.8170513.771101e-08
0.7221041.8168323.753434e-08
0.7245591.8166153.735707e-08
0.7270231.81643.717920e-08
0.7294961.8161863.700072e-08
0.7319761.8159733.682163e-08
0.7344651.8157623.664194e-08
0.7369631.8155523.646164e-08
0.7394691.8153443.628072e-08
0.7419841.8151373.609919e-08
0.7445071.8149323.591704e-08
0.7470391.8147283.573427e-08
0.7495791.8145253.555087e-08
0.7521281.8143243.536686e-08
0.7546861.8141243.518222e-08
0.7572521.8139263.499695e-08
0.7598281.8137283.481105e-08
0.7624111.8135323.462452e-08
0.7650041.8133383.443736e-08
0.7676061.8131443.424956e-08
0.7702161.8129523.406112e-08
0.7728351.8127613.387203e-08
0.7754631.8125723.368231e-08
0.77811.8123833.349194e-08
0.7807461.8121963.330092e-08
0.7834011.812013.310926e-08
0.7860651.8118263.291694e-08
0.7887381.8116423.272397e-08
0.7914211.811463.253034e-08
0.7941121.8112793.233605e-08
0.7968121.8110983.214111e-08
0.7995221.810923.194550e-08
0.81.8108883.191100e-08
0.8022411.8107423.178150e-08
0.8049691.8105653.162386e-08
0.8077071.8103893.146568e-08
0.8104531.8102153.130697e-08
0.8132091.8100423.114771e-08
0.8159751.8098693.098791e-08
0.8187491.8096983.082757e-08
0.8215341.8095283.066668e-08
0.8243271.8093583.050525e-08
0.8271311.809193.034326e-08
0.8299431.8090233.018073e-08
0.8327661.8088573.001764e-08
0.8355981.8086922.985400e-08
0.8384391.8085282.968980e-08
0.841291.8083642.952505e-08
0.8441511.8082022.935973e-08
0.8470221.8080412.919385e-08
0.8499021.8078812.902741e-08
0.8527931.8077212.886040e-08
0.8556931.8075632.869282e-08
0.8586031.8074052.852468e-08
0.8615221.8072492.835596e-08
0.8644521.8070932.818667e-08
0.8673921.8069382.801680e-08
0.8703411.8067842.784635e-08
0.8733011.8066312.767533e-08
0.8762711.8064792.750372e-08
0.8792511.8063272.733153e-08
0.8822411.8061772.715875e-08
0.8852411.8060272.698539e-08
0.8882511.8058782.681144e-08
0.8912721.805732.663689e-08
0.8943031.8055832.646176e-08
0.8973441.8054362.628602e-08
0.9003951.805292.610969e-08
0.9034571.8051462.593276e-08
0.906531.8050012.575523e-08
0.9096121.8048582.557709e-08
0.9127061.8047152.539835e-08
0.9158091.8045732.521900e-08
0.9189241.8044322.503904e-08
0.9220491.8042922.485847e-08
0.9251841.8041522.467728e-08
0.928331.8040132.449548e-08
0.9314871.8038752.431306e-08
0.9346551.8037372.413002e-08
0.9378331.80362.394636e-08
0.9410231.8034642.376207e-08
0.9442231.8033282.357715e-08
0.9474341.8031942.339161e-08
0.9506551.8030592.320544e-08
0.9538881.8029262.301863e-08
0.9571321.8027932.283119e-08
0.9603871.802662.264311e-08
0.9636531.8025292.245439e-08
0.966931.8023982.226503e-08
0.9702181.8022672.207502e-08
0.9735171.8021372.188437e-08
0.9768281.8020082.169307e-08
0.980151.8018792.150112e-08
0.9834831.8017512.130852e-08
0.9868271.8016242.111526e-08
0.9901831.8014972.092134e-08
0.993551.801372.072677e-08
0.9969291.8012442.053153e-08
1.000321.8011192.033563e-08
1.003721.8009942.013907e-08
1.007131.800871.994183e-08
1.010561.8007461.974393e-08
1.0141.8006231.954535e-08
1.017441.80051.934610e-08
1.02091.8003781.914616e-08
1.024381.8002561.894555e-08
1.027861.8001351.874426e-08
1.031351.8000141.854228e-08
1.034861.7998941.833962e-08
1.038381.7997741.813626e-08
1.041911.7996551.793222e-08
1.045451.7995361.772748e-08
1.049011.7994181.752204e-08
1.052581.79931.731591e-08
1.056161.7991821.710907e-08
1.059751.7990651.690153e-08
1.061.7990571.688700e-08
1.063351.7989481.730564e-08
1.066971.7988321.775722e-08
1.07061.7987161.821033e-08
1.074241.7986011.866499e-08
1.077891.7984851.912119e-08
1.081561.7983711.957895e-08
1.085231.7982562.003826e-08
1.088921.7981422.049913e-08
1.092631.7980292.096157e-08
1.096341.7979162.142558e-08
1.100071.7978032.189117e-08
1.103811.797692.235834e-08
1.107571.7975782.282711e-08
1.111331.7974662.329746e-08
1.115111.7973552.376942e-08
1.11891.7972442.424298e-08
1.122711.7971332.471815e-08
1.126531.7970232.519494e-08
1.130361.7969122.567335e-08
1.13421.7968032.615338e-08
1.138061.7966932.663505e-08
1.141931.7965842.711835e-08
1.145811.7964752.760330e-08
1.149711.7963662.808990e-08
1.153621.7962582.857815e-08
1.157541.7961492.906807e-08
1.161481.7960422.955965e-08
1.165431.7959343.005290e-08
1.169391.7958273.054783e-08
1.173371.7957193.104444e-08
1.177361.7956133.154274e-08
1.181361.7955063.204273e-08
1.185381.7953993.254443e-08
1.189411.7952933.304783e-08
1.193451.7951873.355294e-08
1.197511.7950823.405977e-08
1.201581.7949763.456833e-08
1.205671.7948713.507861e-08
1.209771.7947653.559063e-08
1.213881.794663.610439e-08
1.218011.7945563.661990e-08
1.222151.7944513.713716e-08
1.226311.7943473.765618e-08
1.230481.7942423.817696e-08
1.234671.7941383.869952e-08
1.238861.7940343.922385e-08
1.243081.7939313.974996e-08
1.24731.7938274.027787e-08
1.251551.7937244.080757e-08
1.25581.793624.133907e-08
1.260071.7935174.187238e-08
1.264361.7934144.240750e-08
1.268661.7933114.294444e-08
1.272971.7932084.348321e-08
1.27731.7931064.402381e-08
1.281641.7930034.456625e-08
1.2861.79294.511053e-08
1.290381.7927984.565666e-08
1.294761.7926964.620465e-08
1.299171.7925934.675451e-08
1.303581.7924914.730623e-08
1.308021.7923894.785983e-08
1.312471.7922874.841532e-08
1.316931.7921854.897269e-08
1.321411.7920834.953196e-08
1.32591.7919815.009312e-08
1.330411.791885.065620e-08
1.334931.7917785.122119e-08
1.339471.7916765.178811e-08
1.344031.7915755.235695e-08
1.34861.7914735.292773e-08
1.353181.7913715.350044e-08
1.357791.791275.407511e-08
1.36241.7911685.465173e-08
1.367041.7910675.523031e-08
1.371691.7909655.581085e-08
1.376351.7908635.639337e-08
1.381031.7907625.697788e-08
1.385731.790665.756437e-08
1.390441.7905595.815285e-08
1.395171.7904575.874334e-08
1.399911.7903555.933583e-08
1.404671.7902545.993034e-08
1.409451.7901526.052687e-08
1.414241.790056.112543e-08
1.419051.7899486.172602e-08
1.423881.7898476.232866e-08
1.428721.7897456.293335e-08
1.433581.7896436.354009e-08
1.438451.7895416.414889e-08
1.443341.7894386.475977e-08
1.448251.7893366.537272e-08
1.453181.7892346.598776e-08
1.458121.7891326.660489e-08
1.463081.7890296.722412e-08
1.468051.7889266.784545e-08
1.473051.7888246.846890e-08
1.478051.7887216.909446e-08
1.483081.7886186.972216e-08
1.488121.7885157.035199e-08
1.493191.7884127.098396e-08
1.498261.7883097.161808e-08
1.51.7882737.183500e-08
1.503361.7882057.471854e-08
1.508471.7881027.910857e-08
1.51361.7879988.351352e-08
1.518751.7878948.793346e-08
1.523911.787799.236842e-08
1.529091.7876869.681847e-08
1.534291.7875821.012836e-07
1.539511.7874771.057640e-07
1.544751.7873731.102596e-07
1.551.7872681.147705e-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
—