Optical constants

Refractive index of K-PSFn3 (SUMITA)

K-PSFn3: 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
1.83918
Extinction coefficient k
5.58020e-08
Permittivity ε1
3.38257
Permittivity ε2
2.05259e-07
Absorption coefficient α
0.0119338 cm⁻¹
Penetration depth δ = λ/(2πk)
1.67592e+09 nm
Abbe number Vd
23.86
Chromatic dispersion dn/dλ
-0.175455 µm⁻¹
Group index ng
1.94227
Group velocity dispersion
366.11 fs²/mm
Dispersion parameter D
-1997.32 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 (SUMITA): K-PSFn3
sumita_k_psfn3 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-PSFn3", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_psfn3.range_nm)  # (400, 1550) nm
eps = sumita_k_psfn3.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=3.2268914−0.014590158⁢λ2.0+0.047763869⁢λ−2.0+0.0027173637⁢λ−4.0−9.5689164×10-5⁢λ−6.0+2.7097845×10-5⁢λ−8.0

Valid from 0.4 to 1.55 µm.

Coefficients as stored
CiValue
C13.2268914
C2-0.014590158
C32.0
C40.047763869
C5-2.0
C60.0027173637
C7-4.0
C8-9.5689164e-05
C9-6.0
C102.7097845e-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
1.83917
Vd
23.9
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
0.018
resistance
acid: 1.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -3.16e-06 K⁻¹ at 633 nm, dn/dT = -4.85e-06 K⁻¹ at 1310 nm, dn/dT = -4.95e-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 (SUMITA), K-PSFn3: n and k versus wavelength
λ (µm)nk
0.41.9097681.979100e-06
0.401361.9086931.903909e-06
0.4027251.9076321.828462e-06
0.4040951.9065831.752759e-06
0.4054691.9055481.676798e-06
0.4068481.9045251.600579e-06
0.4082311.9035141.524100e-06
0.4096191.9025151.447362e-06
0.4110121.9015291.370363e-06
0.412411.9005541.293101e-06
0.4138131.8995911.215578e-06
0.415221.898641.137790e-06
0.4166321.8976991.059738e-06
0.4180491.896779.814204e-07
0.419471.8958529.028365e-07
0.421.8955138.735500e-07
0.4208971.8949448.562473e-07
0.4223281.8940468.286274e-07
0.4237641.8931598.009135e-07
0.4252051.8922837.731053e-07
0.4266511.8914167.452026e-07
0.4281021.8905597.172050e-07
0.4295581.8897116.891122e-07
0.4310191.8888746.609238e-07
0.4324841.8880456.326396e-07
0.4339551.8872266.042592e-07
0.4354311.8864165.757823e-07
0.4369121.8856155.472086e-07
0.4383971.8848235.185377e-07
0.4398881.8840394.897693e-07
0.441.8839814.876100e-07
0.4413841.8832644.766467e-07
0.4428851.8824974.647567e-07
0.4443911.8817394.528262e-07
0.4459021.8809894.408552e-07
0.4474191.8802464.288435e-07
0.448941.8795124.167909e-07
0.4504671.8787864.046974e-07
0.4519991.8780673.925627e-07
0.4535361.8773563.803867e-07
0.4550781.8766523.681694e-07
0.4566261.8759563.559105e-07
0.4581781.8752673.436099e-07
0.4597361.8745843.312675e-07
0.461.874473.291800e-07
0.46131.873913.239402e-07
0.4628691.8732423.176168e-07
0.4644431.872583.112718e-07
0.4660221.8719263.049053e-07
0.4676071.8712782.985171e-07
0.4691971.8706372.921072e-07
0.4707921.8700022.856755e-07
0.4723931.8693742.792219e-07
0.4741.8687512.727464e-07
0.4756121.8681352.662489e-07
0.4772291.8675262.597292e-07
0.4788521.8669222.531874e-07
0.481.86652.485600e-07
0.480481.8663242.469899e-07
0.4821141.8657322.416502e-07
0.4837541.8651462.362924e-07
0.4853991.8645652.309163e-07
0.487051.863992.255220e-07
0.4887061.8634212.201093e-07
0.4903681.8628572.146782e-07
0.4920351.8622992.092286e-07
0.4937091.8617462.037605e-07
0.4953871.8611981.982738e-07
0.4970721.8606551.927685e-07
0.4987621.8601181.872444e-07
0.51.8597291.832000e-07
0.5004591.8595851.822490e-07
0.502161.8590581.787193e-07
0.5038681.8585351.751776e-07
0.5055821.8580181.716238e-07
0.5073011.8575051.680580e-07
0.5090261.8569971.644800e-07
0.5107571.8564931.608899e-07
0.5124941.8559951.572875e-07
0.5142371.8555011.536729e-07
0.5159851.8550111.500460e-07
0.517741.8545261.464068e-07
0.5195011.8540451.427552e-07
0.5212671.8535691.390912e-07
0.523041.8530971.354147e-07
0.5248191.8526291.317258e-07
0.5266031.8521651.280242e-07
0.5283941.8517061.243101e-07
0.5301911.851251.205834e-07
0.5319941.8507991.168440e-07
0.5338031.8503511.130918e-07
0.5356181.8499081.093270e-07
0.537441.8494691.055493e-07
0.5392671.8490331.017587e-07
0.5411011.8486019.795530e-08
0.5429411.8481739.413894e-08
0.5447881.8477499.030960e-08
0.546641.8473288.646724e-08
0.5484991.8469118.261181e-08
0.551.8465787.949900e-08
0.5503641.8464987.926935e-08
0.5522361.8460887.808981e-08
0.5541141.8456817.690625e-08
0.5559981.8452797.571867e-08
0.5578891.8448797.452705e-08
0.5597861.8444837.333138e-08
0.561691.844097.213164e-08
0.56361.8437017.092783e-08
0.5655161.8433156.971991e-08
0.567441.8429326.850790e-08
0.5693691.8425536.729176e-08
0.5713051.8421766.607148e-08
0.5732481.8418036.484705e-08
0.5751981.8414336.361846e-08
0.5771541.8410666.238570e-08
0.5791161.8407016.114874e-08
0.5810861.840345.990757e-08
0.5830621.8399825.866218e-08
0.5850441.8396275.741256e-08
0.5870341.8392755.615869e-08
0.589031.8389255.490056e-08
0.5910331.8385795.363814e-08
0.5930431.8382355.237143e-08
0.595061.8378945.110042e-08
0.5970841.8375564.982508e-08
0.5991141.8372214.854541e-08
0.61.8370754.798700e-08
0.6011511.8368884.771869e-08
0.6031961.8365584.724229e-08
0.6052471.836234.676427e-08
0.6073051.8359054.628463e-08
0.609371.8355834.580335e-08
0.6114431.8352634.532043e-08
0.6135221.8349464.483588e-08
0.6156081.8346324.434967e-08
0.6177021.8343194.386182e-08
0.6198021.834014.337230e-08
0.621911.8337024.288112e-08
0.6240251.8333974.238827e-08
0.6261471.8330954.189374e-08
0.6282761.8327954.139753e-08
0.6304131.8324974.089963e-08
0.6325561.8322014.040004e-08
0.6347081.8319083.989876e-08
0.6368661.8316173.939576e-08
0.6390321.8313283.889106e-08
0.6412051.8310413.838464e-08
0.6433851.8307573.787650e-08
0.6455731.8304753.736663e-08
0.6477691.8301953.685502e-08
0.6499711.8299173.634168e-08
0.651.8299133.633500e-08
0.6521821.8296413.645695e-08
0.6543991.8293673.658093e-08
0.6566251.8290953.670533e-08
0.6588581.8288263.683015e-08
0.6610981.8285583.695539e-08
0.6633461.8282923.708107e-08
0.6656021.8280283.720716e-08
0.6678661.8277673.733369e-08
0.6701371.8275073.746065e-08
0.6724161.8272493.758804e-08
0.6747021.8269933.771586e-08
0.6769971.8267393.784412e-08
0.6792991.8264873.797281e-08
0.6816091.8262363.810194e-08
0.6839271.8259873.823151e-08
0.6862531.8257413.836152e-08
0.6885861.8254963.849198e-08
0.6909281.8252523.862287e-08
0.6932781.8250113.875422e-08
0.6956351.8247713.888600e-08
0.6980011.8245333.901824e-08
0.71.8243343.913000e-08
0.7003741.8242973.910297e-08
0.7027561.8240623.893104e-08
0.7051461.8238293.875852e-08
0.7075441.8235983.858541e-08
0.709951.8233683.841172e-08
0.7123641.823143.823743e-08
0.7147871.8229133.806255e-08
0.7172171.8226883.788708e-08
0.7196561.8224653.771101e-08
0.7221041.8222433.753434e-08
0.7245591.8220233.735707e-08
0.7270231.8218043.717920e-08
0.7294961.8215873.700072e-08
0.7319761.8213713.682163e-08
0.7344651.8211573.664194e-08
0.7369631.8209443.646164e-08
0.7394691.8207333.628072e-08
0.7419841.8205233.609919e-08
0.7445071.8203153.591704e-08
0.7470391.8201073.573427e-08
0.7495791.8199023.555087e-08
0.7521281.8196973.536686e-08
0.7546861.8194953.518222e-08
0.7572521.8192933.499695e-08
0.7598281.8190933.481105e-08
0.7624111.8188943.462452e-08
0.7650041.8186963.443736e-08
0.7676061.81853.424956e-08
0.7702161.8183053.406112e-08
0.7728351.8181113.387203e-08
0.7754631.8179193.368231e-08
0.77811.8177273.349194e-08
0.7807461.8175373.330092e-08
0.7834011.8173493.310926e-08
0.7860651.8171613.291694e-08
0.7887381.8169753.272397e-08
0.7914211.8167893.253034e-08
0.7941121.8166053.233605e-08
0.7968121.8164233.214111e-08
0.7995221.8162413.194550e-08
0.81.8162093.191100e-08
0.8022411.816063.178150e-08
0.8049691.8158813.162386e-08
0.8077071.8157033.146568e-08
0.8104531.8155253.130697e-08
0.8132091.8153493.114771e-08
0.8159751.8151743.098791e-08
0.8187491.8153.082757e-08
0.8215341.8148283.066668e-08
0.8243271.8146563.050525e-08
0.8271311.8144853.034326e-08
0.8299431.8143153.018073e-08
0.8327661.8141463.001764e-08
0.8355981.8139792.985400e-08
0.8384391.8138122.968980e-08
0.841291.8136462.952505e-08
0.8441511.8134812.935973e-08
0.8470221.8133182.919385e-08
0.8499021.8131552.902741e-08
0.8527931.8129932.886040e-08
0.8556931.8128322.869282e-08
0.8586031.8126722.852468e-08
0.8615221.8125132.835596e-08
0.8644521.8123552.818667e-08
0.8673921.8121972.801680e-08
0.8703411.8120412.784635e-08
0.8733011.8118852.767533e-08
0.8762711.8117312.750372e-08
0.8792511.8115772.733153e-08
0.8822411.8114242.715875e-08
0.8852411.8112722.698539e-08
0.8882511.8111212.681144e-08
0.8912721.810972.663689e-08
0.8943031.8108212.646176e-08
0.8973441.8106722.628602e-08
0.9003951.8105242.610969e-08
0.9034571.8103772.593276e-08
0.906531.810232.575523e-08
0.9096121.8100842.557709e-08
0.9127061.809942.539835e-08
0.9158091.8097952.521900e-08
0.9189241.8096522.503904e-08
0.9220491.8095092.485847e-08
0.9251841.8093672.467728e-08
0.928331.8092262.449548e-08
0.9314871.8090862.431306e-08
0.9346551.8089462.413002e-08
0.9378331.8088072.394636e-08
0.9410231.8086682.376207e-08
0.9442231.8085312.357715e-08
0.9474341.8083942.339161e-08
0.9506551.8082572.320544e-08
0.9538881.8081222.301863e-08
0.9571321.8079872.283119e-08
0.9603871.8078522.264311e-08
0.9636531.8077182.245439e-08
0.966931.8075852.226503e-08
0.9702181.8074532.207502e-08
0.9735171.8073212.188437e-08
0.9768281.8071892.169307e-08
0.980151.8070592.150112e-08
0.9834831.8069292.130852e-08
0.9868271.8067992.111526e-08
0.9901831.806672.092134e-08
0.993551.8065422.072677e-08
0.9969291.8064142.053153e-08
1.000321.8062862.033563e-08
1.003721.806162.013907e-08
1.007131.8060331.994183e-08
1.010561.8059081.974393e-08
1.0141.8057831.954535e-08
1.017441.8056581.934610e-08
1.02091.8055341.914616e-08
1.024381.805411.894555e-08
1.027861.8052871.874426e-08
1.031351.8051651.854228e-08
1.034861.8050421.833962e-08
1.038381.8049211.813626e-08
1.041911.80481.793222e-08
1.045451.8046791.772748e-08
1.049011.8045591.752204e-08
1.052581.8044391.731591e-08
1.056161.8043191.710907e-08
1.059751.8042011.690153e-08
1.061.8041921.688700e-08
1.063351.8040821.730564e-08
1.066971.8039641.775722e-08
1.07061.8038461.821033e-08
1.074241.8037291.866499e-08
1.077891.8036121.912119e-08
1.081561.8034961.957895e-08
1.085231.803382.003826e-08
1.088921.8032642.049913e-08
1.092631.8031492.096157e-08
1.096341.8030342.142558e-08
1.100071.8029192.189117e-08
1.103811.8028052.235834e-08
1.107571.8026912.282711e-08
1.111331.8025782.329746e-08
1.115111.8024652.376942e-08
1.11891.8023522.424298e-08
1.122711.802242.471815e-08
1.126531.8021282.519494e-08
1.130361.8020162.567335e-08
1.13421.8019042.615338e-08
1.138061.8017932.663505e-08
1.141931.8016822.711835e-08
1.145811.8015722.760330e-08
1.149711.8014612.808990e-08
1.153621.8013512.857815e-08
1.157541.8012422.906807e-08
1.161481.8011322.955965e-08
1.165431.8010233.005290e-08
1.169391.8009143.054783e-08
1.173371.8008063.104444e-08
1.177361.8006973.154274e-08
1.181361.8005893.204273e-08
1.185381.8004813.254443e-08
1.189411.8003733.304783e-08
1.193451.8002663.355294e-08
1.197511.8001593.405977e-08
1.201581.8000523.456833e-08
1.205671.7999453.507861e-08
1.209771.7998383.559063e-08
1.213881.7997323.610439e-08
1.218011.7996263.661990e-08
1.222151.799523.713716e-08
1.226311.7994143.765618e-08
1.230481.7993083.817696e-08
1.234671.7992033.869952e-08
1.238861.7990973.922385e-08
1.243081.7989923.974996e-08
1.24731.7988874.027787e-08
1.251551.7987824.080757e-08
1.25581.7986784.133907e-08
1.260071.7985734.187238e-08
1.264361.7984694.240750e-08
1.268661.7983654.294444e-08
1.272971.798264.348321e-08
1.27731.7981564.402381e-08
1.281641.7980524.456625e-08
1.2861.7979494.511053e-08
1.290381.7978454.565666e-08
1.294761.7977414.620465e-08
1.299171.7976384.675451e-08
1.303581.7975344.730623e-08
1.308021.7974314.785983e-08
1.312471.7973284.841532e-08
1.316931.7972254.897269e-08
1.321411.7971224.953196e-08
1.32591.7970185.009312e-08
1.330411.7969155.065620e-08
1.334931.7968135.122119e-08
1.339471.796715.178811e-08
1.344031.7966075.235695e-08
1.34861.7965045.292773e-08
1.353181.7964015.350044e-08
1.357791.7962985.407511e-08
1.36241.7961965.465173e-08
1.367041.7960935.523031e-08
1.371691.795995.581085e-08
1.376351.7958885.639337e-08
1.381031.7957855.697788e-08
1.385731.7956825.756437e-08
1.390441.7955795.815285e-08
1.395171.7954775.874334e-08
1.399911.7953745.933583e-08
1.404671.7952715.993034e-08
1.409451.7951686.052687e-08
1.414241.7950656.112543e-08
1.419051.7949636.172602e-08
1.423881.794866.232866e-08
1.428721.7947576.293335e-08
1.433581.7946546.354009e-08
1.438451.794556.414889e-08
1.443341.7944476.475977e-08
1.448251.7943446.537272e-08
1.453181.7942416.598776e-08
1.458121.7941376.660489e-08
1.463081.7940346.722412e-08
1.468051.793936.784545e-08
1.473051.7938276.846890e-08
1.478051.7937236.909446e-08
1.483081.7936196.972216e-08
1.488121.7935157.035199e-08
1.493191.7934117.098396e-08
1.498261.7933077.161808e-08
1.51.7932717.183500e-08
1.503361.7932027.471854e-08
1.508471.7930987.910857e-08
1.51361.7929938.351352e-08
1.518751.7928898.793346e-08
1.523911.7927849.236842e-08
1.529091.7926799.681847e-08
1.534291.7925731.012836e-07
1.539511.7924681.057640e-07
1.544751.7923621.102596e-07
1.551.7922571.147705e-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
—