Optical constants

Refractive index of K-PSFn5(M) (SUMITA)

K-PSFn5(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
1.91642
Extinction coefficient k
9.30227e-08
Permittivity ε1
3.67268
Permittivity ε2
3.56542e-07
Absorption coefficient α
0.0198938 cm⁻¹
Penetration depth δ = λ/(2πk)
1.00534e+09 nm
Abbe number Vd
22.386
Chromatic dispersion dn/dλ
-0.203936 µm⁻¹
Group index ng
2.03626
Group velocity dispersion
430.358 fs²/mm
Dispersion parameter D
-2347.83 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-PSFn5(M) (SUMITA): K-PSFn5(M)
sumita_k_psfn5_m = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-PSFn5(M)", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_psfn5_m.range_nm)  # (400, 1550) nm
eps = sumita_k_psfn5_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=3.480338−0.011368322⁢λ2.0+0.05808586⁢λ−2.0+0.0034779702⁢λ−4.0−0.0001519768⁢λ−6.0+3.6318702×10-5⁢λ−8.0

Valid from 0.4 to 1.55 µm.

Coefficients as stored
CiValue
C13.480338
C2-0.011368322
C32.0
C40.05808586
C5-2.0
C60.0034779702
C7-4.0
C8-0.0001519768
C9-6.0
C103.6318702e-05
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 3.38e-06 2.43e-08 -2.21e-10 2.2e-06 1.89e-09 0.277
nd
1.91643
Vd
22.4
glass code
921224
density
value: 5220
thermal expansion
value: 1.08e-05, temperature range: 243 343; value: 1.12e-05, temperature range: 293 573
dPgF
0.0185
resistance
acid: 1.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 7.04e-06 K⁻¹ at 633 nm, dn/dT = 3.15e-06 K⁻¹ at 1310 nm, dn/dT = 2.87e-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-PSFn5(M) (SUMITA), K-PSFn5(M): n and k versus wavelength
λ (µm)nk
0.41.9989322.548800e-06
0.401361.9976712.458486e-06
0.4027251.9964262.367866e-06
0.4040951.9951972.276937e-06
0.4054691.9939832.185698e-06
0.4068481.9927832.094150e-06
0.4082311.9915992.002290e-06
0.4096191.9904281.910118e-06
0.4110121.9892721.817632e-06
0.412411.988131.724832e-06
0.4138131.9870021.631717e-06
0.415221.9858871.538284e-06
0.4166321.9847851.444534e-06
0.4180491.9836961.350465e-06
0.419471.982621.256077e-06
0.421.9822241.220900e-06
0.4208971.9815571.199049e-06
0.4223281.9805061.164168e-06
0.4237641.9794671.129168e-06
0.4252051.978441.094049e-06
0.4266511.9774251.058811e-06
0.4281021.9764221.023453e-06
0.4295581.975439.879752e-07
0.4310191.9744499.523764e-07
0.4324841.973489.166565e-07
0.4339551.9725218.808152e-07
0.4354311.9715738.448520e-07
0.4369121.9706358.087665e-07
0.4383971.9697087.725583e-07
0.4398881.9687917.362269e-07
0.441.9687237.335000e-07
0.4413841.9678847.171467e-07
0.4428851.9669876.994111e-07
0.4443911.96616.816153e-07
0.4459021.9652226.637589e-07
0.4474191.9643546.458417e-07
0.448941.9634956.278637e-07
0.4504671.9626456.098245e-07
0.4519991.9618055.917240e-07
0.4535361.9609735.735619e-07
0.4550781.960155.553380e-07
0.4566261.9593365.370522e-07
0.4581781.958535.187042e-07
0.4597361.9577335.002938e-07
0.461.9575994.971800e-07
0.46131.9569434.877345e-07
0.4628691.9561624.763355e-07
0.4644431.955394.648978e-07
0.4660221.9546254.534211e-07
0.4676071.9538674.419054e-07
0.4691971.9531184.303506e-07
0.4707921.9523764.187564e-07
0.4723931.9516424.071229e-07
0.4741.9509153.954497e-07
0.4756121.9501953.837369e-07
0.4772291.9494823.719842e-07
0.4788521.9487773.601916e-07
0.481.9482833.518500e-07
0.480481.9480783.495156e-07
0.4821141.9473873.415763e-07
0.4837541.9467023.336100e-07
0.4853991.9460243.256166e-07
0.487051.9453523.175961e-07
0.4887061.9446873.095483e-07
0.4903681.9440293.014731e-07
0.4920351.9433772.933704e-07
0.4937091.9427312.852402e-07
0.4953871.9420912.770824e-07
0.4970721.9414582.688968e-07
0.4987621.940832.606834e-07
0.51.9403762.546700e-07
0.5004591.9402082.532274e-07
0.502161.9395932.478731e-07
0.5038681.9389832.425006e-07
0.5055821.9383792.371099e-07
0.5073011.937782.317008e-07
0.5090261.9371872.262733e-07
0.5107571.93662.208273e-07
0.5124941.9360182.153629e-07
0.5142371.9354412.098798e-07
0.5159851.934872.043781e-07
0.517741.9343041.988577e-07
0.5195011.9337431.933186e-07
0.5212671.9331881.877605e-07
0.523041.9326371.821836e-07
0.5248191.9320911.765878e-07
0.5266031.9315511.709728e-07
0.5283941.9310151.653388e-07
0.5301911.9304841.596857e-07
0.5319941.9299571.540133e-07
0.5338031.9294361.483216e-07
0.5356181.9289191.426106e-07
0.537441.9284071.368801e-07
0.5392671.9278991.311302e-07
0.5411011.9273961.253607e-07
0.5429411.9268971.195716e-07
0.5447881.9264021.137628e-07
0.546641.9259121.079342e-07
0.5484991.9254271.020859e-07
0.551.9250399.736400e-08
0.5503641.9249459.732193e-08
0.5522361.9244689.710584e-08
0.5541141.9239949.688901e-08
0.5559981.9235259.667144e-08
0.5578891.923069.645314e-08
0.5597861.9225999.623409e-08
0.561691.9221429.601430e-08
0.56361.9216899.579376e-08
0.5655161.9212399.557247e-08
0.567441.9207949.535043e-08
0.5693691.9203529.512763e-08
0.5713051.9199149.490408e-08
0.5732481.919489.467976e-08
0.5751981.9190499.445469e-08
0.5771541.9186229.422884e-08
0.5791161.9181989.400223e-08
0.5810861.9177799.377485e-08
0.5830621.9173629.354669e-08
0.5850441.9169499.331776e-08
0.5870341.916549.308805e-08
0.589031.9161349.285756e-08
0.5910331.9157319.262629e-08
0.5930431.9153329.239423e-08
0.595061.9149359.216138e-08
0.5970841.9145439.192774e-08
0.5991141.9141539.169330e-08
0.61.9139849.159100e-08
0.6011511.9137679.188825e-08
0.6031961.9133839.241604e-08
0.6052471.9130039.294563e-08
0.6073051.9126269.347702e-08
0.609371.9122529.401022e-08
0.6114431.9118819.454523e-08
0.6135221.9115139.508206e-08
0.6156081.9111489.562072e-08
0.6177021.9107869.616120e-08
0.6198021.9104279.670353e-08
0.621911.910079.724770e-08
0.6240251.9097179.779372e-08
0.6261471.9093669.834159e-08
0.6282761.9090189.889133e-08
0.6304131.9086739.944294e-08
0.6325561.9083319.999643e-08
0.6347081.9079911.005518e-07
0.6368661.9076541.011090e-07
0.6390321.9073191.016682e-07
0.6412051.9069881.022293e-07
0.6433851.9066591.027922e-07
0.6455731.9063321.033571e-07
0.6477691.9060081.039239e-07
0.6499711.9056861.044926e-07
0.651.9056821.045000e-07
0.6521821.9053671.033672e-07
0.6543991.9050511.022155e-07
0.6566251.9047371.010600e-07
0.6588581.9044259.990051e-08
0.6610981.9041169.873710e-08
0.6633461.9038099.756973e-08
0.6656021.9035049.639839e-08
0.6678661.9032029.522306e-08
0.6701371.9029029.404374e-08
0.6724161.9026049.286041e-08
0.6747021.9023099.167305e-08
0.6769971.9020169.048166e-08
0.6792991.9017258.928621e-08
0.6816091.9014368.808670e-08
0.6839271.901158.688311e-08
0.6862531.9008658.567543e-08
0.6885861.9005838.446364e-08
0.6909281.9003038.324773e-08
0.6932781.9000258.202769e-08
0.6956351.8997498.080349e-08
0.6980011.8994757.957514e-08
0.71.8992467.853700e-08
0.7003741.8992037.843441e-08
0.7027561.8989337.778175e-08
0.7051461.8986657.712687e-08
0.7075441.8983997.646977e-08
0.709951.8981357.581043e-08
0.7123641.8978737.514884e-08
0.7147871.8976137.448501e-08
0.7172171.8973557.381892e-08
0.7196561.8970997.315057e-08
0.7221041.8968447.247994e-08
0.7245591.8965927.180703e-08
0.7270231.8963417.113184e-08
0.7294961.8960927.045434e-08
0.7319761.8958456.977455e-08
0.7344651.8955996.909244e-08
0.7369631.8953566.840801e-08
0.7394691.8951146.772126e-08
0.7419841.8948746.703216e-08
0.7445071.8946356.634073e-08
0.7470391.8943986.564695e-08
0.7495791.8941636.495080e-08
0.7521281.893936.425229e-08
0.7546861.8936986.355140e-08
0.7572521.8934686.284813e-08
0.7598281.893246.214247e-08
0.7624111.8930136.143441e-08
0.7650041.8927876.072394e-08
0.7676061.8925646.001105e-08
0.7702161.8923415.929574e-08
0.7728351.8921215.857800e-08
0.7754631.8919025.785782e-08
0.77811.8916845.713518e-08
0.7807461.8914685.641009e-08
0.7834011.8912535.568254e-08
0.7860651.891045.495251e-08
0.7887381.8908295.422000e-08
0.7914211.8906185.348499e-08
0.7941121.890415.274749e-08
0.7968121.8902025.200748e-08
0.7995221.8899965.126495e-08
0.81.889965.113400e-08
0.8022411.8897925.098467e-08
0.8049691.8895885.080288e-08
0.8077071.8893875.062048e-08
0.8104531.8891865.043745e-08
0.8132091.8889875.025381e-08
0.8159751.8887895.006953e-08
0.8187491.8885934.988463e-08
0.8215341.8883974.969911e-08
0.8243271.8882044.951295e-08
0.8271311.8880114.932616e-08
0.8299431.887824.913873e-08
0.8327661.8876294.895066e-08
0.8355981.8874414.876196e-08
0.8384391.8872534.857262e-08
0.841291.8870664.838263e-08
0.8441511.8868814.819199e-08
0.8470221.8866974.800071e-08
0.8499021.8865144.780877e-08
0.8527931.8863334.761618e-08
0.8556931.8861524.742294e-08
0.8586031.8859734.722904e-08
0.8615221.8857954.703449e-08
0.8644521.8856174.683927e-08
0.8673921.8854414.664338e-08
0.8703411.8852674.644683e-08
0.8733011.8850934.624961e-08
0.8762711.884924.605172e-08
0.8792511.8847494.585316e-08
0.8822411.8845784.565392e-08
0.8852411.8844084.545401e-08
0.8882511.884244.525341e-08
0.8912721.8840734.505214e-08
0.8943031.8839064.485018e-08
0.8973441.8837414.464753e-08
0.9003951.8835764.444419e-08
0.9034571.8834134.424016e-08
0.906531.8832514.403544e-08
0.9096121.8830894.383002e-08
0.9127061.8829294.362390e-08
0.9158091.8827694.341709e-08
0.9189241.8826114.320956e-08
0.9220491.8824534.300134e-08
0.9251841.8822964.279240e-08
0.928331.8821414.258276e-08
0.9314871.8819864.237240e-08
0.9346551.8818324.216132e-08
0.9378331.8816794.194953e-08
0.9410231.8815264.173702e-08
0.9442231.8813754.152378e-08
0.9474341.8812254.130982e-08
0.9506551.8810754.109514e-08
0.9538881.8809264.087972e-08
0.9571321.8807784.066357e-08
0.9603871.8806314.044668e-08
0.9636531.8804854.022906e-08
0.966931.8803394.001070e-08
0.9702181.8801953.979159e-08
0.9735171.8800513.957174e-08
0.9768281.8799083.935114e-08
0.980151.8797663.912980e-08
0.9834831.8796243.890769e-08
0.9868271.8794833.868484e-08
0.9901831.8793433.846122e-08
0.993551.8792043.823685e-08
0.9969291.8790653.801171e-08
1.000321.8789283.778581e-08
1.003721.8787913.755914e-08
1.007131.8786543.733170e-08
1.010561.8785193.710348e-08
1.0141.8783843.687449e-08
1.017441.8782493.664472e-08
1.02091.8781163.641417e-08
1.024381.8779833.618283e-08
1.027861.8778513.595071e-08
1.031351.8777193.571780e-08
1.034861.8775883.548409e-08
1.038381.8774583.524959e-08
1.041911.8773283.501430e-08
1.045451.8771993.477820e-08
1.049011.8770713.454130e-08
1.052581.8769433.430360e-08
1.056161.8768163.406508e-08
1.059751.876693.382576e-08
1.061.8766813.380900e-08
1.063351.8765643.419025e-08
1.066971.8764393.460150e-08
1.07061.8763143.501416e-08
1.074241.876193.542821e-08
1.077891.8760663.584367e-08
1.081561.8759433.626055e-08
1.085231.875823.667884e-08
1.088921.8756993.709856e-08
1.092631.8755773.751970e-08
1.096341.8754563.794227e-08
1.100071.8753363.836629e-08
1.103811.8752163.879174e-08
1.107571.8750973.921864e-08
1.111331.8749783.964699e-08
1.115111.874864.007680e-08
1.11891.8747424.050807e-08
1.122711.8746254.094081e-08
1.126531.8745084.137502e-08
1.130361.8743924.181070e-08
1.13421.8742764.224787e-08
1.138061.8741614.268652e-08
1.141931.8740464.312667e-08
1.145811.8739314.356831e-08
1.149711.8738174.401145e-08
1.153621.8737044.445610e-08
1.157541.8735914.490227e-08
1.161481.8734784.534995e-08
1.165431.8733664.579915e-08
1.169391.8732544.624988e-08
1.173371.8731424.670214e-08
1.177361.8730314.715594e-08
1.181361.8729214.761129e-08
1.185381.872814.806818e-08
1.189411.8727014.852662e-08
1.193451.8725914.898663e-08
1.197511.8724824.944820e-08
1.201581.8723734.991134e-08
1.205671.8722655.037605e-08
1.209771.8721575.084235e-08
1.213881.8720495.131023e-08
1.218011.8719425.177970e-08
1.222151.8718355.225077e-08
1.226311.8717285.272343e-08
1.230481.8716225.319771e-08
1.234671.8715165.367360e-08
1.238861.8714115.415111e-08
1.243081.8713055.463024e-08
1.24731.87125.511100e-08
1.251551.8710955.559340e-08
1.25581.8709915.607744e-08
1.260071.8708875.656312e-08
1.264361.8707835.705045e-08
1.268661.870685.753944e-08
1.272971.8705765.803010e-08
1.27731.8704735.852242e-08
1.281641.8703715.901642e-08
1.2861.8702685.951209e-08
1.290381.8701666.000946e-08
1.294761.8700646.050851e-08
1.299171.8699626.100926e-08
1.303581.8698616.151172e-08
1.308021.8697596.201588e-08
1.312471.8696586.252175e-08
1.316931.8695586.302935e-08
1.321411.8694576.353868e-08
1.32591.8693576.404973e-08
1.330411.8692566.456252e-08
1.334931.8691576.507706e-08
1.339471.8690576.559335e-08
1.344031.8689576.611139e-08
1.34861.8688586.663120e-08
1.353181.8687596.715277e-08
1.357791.868666.767611e-08
1.36241.8685616.820124e-08
1.367041.8684626.872815e-08
1.371691.8683646.925685e-08
1.376351.8682656.978735e-08
1.381031.8681677.031966e-08
1.385731.8680697.085377e-08
1.390441.8679717.138970e-08
1.395171.8678737.192746e-08
1.399911.8677767.246704e-08
1.404671.8676787.300846e-08
1.409451.8675817.355172e-08
1.414241.8674847.409682e-08
1.419051.8673867.464378e-08
1.423881.8672897.519260e-08
1.428721.8671927.574329e-08
1.433581.8670967.629585e-08
1.438451.8669997.685028e-08
1.443341.8669027.740661e-08
1.448251.8668067.796482e-08
1.453181.8667097.852493e-08
1.458121.8666137.908695e-08
1.463081.8665167.965088e-08
1.468051.866428.021673e-08
1.473051.8663248.078450e-08
1.478051.8662288.135420e-08
1.483081.8661328.192584e-08
1.488121.8660368.249942e-08
1.493191.865948.307496e-08
1.498261.8658448.365245e-08
1.51.8658118.385000e-08
1.503361.8657488.654257e-08
1.508471.8656529.064186e-08
1.51361.8655569.475509e-08
1.518751.865469.888230e-08
1.523911.8653641.030236e-07
1.529091.8652681.071789e-07
1.534291.8651721.113483e-07
1.539511.8650771.155320e-07
1.544751.8649811.197299e-07
1.551.8648851.239420e-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
—