Optical constants

Refractive index of K-PSFn5 (SUMITA)

K-PSFn5: 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
1.9211
Extinction coefficient k
9.30227e-08
Permittivity ε1
3.69061
Permittivity ε2
3.57411e-07
Absorption coefficient α
0.0198938 cm⁻¹
Penetration depth δ = λ/(2πk)
1.00534e+09 nm
Abbe number Vd
22.426
Chromatic dispersion dn/dλ
-0.204598 µm⁻¹
Group index ng
2.04132
Group velocity dispersion
431.616 fs²/mm
Dispersion parameter D
-2354.69 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 (SUMITA): K-PSFn5
sumita_k_psfn5 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-PSFn5", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_psfn5.range_nm)  # (400, 1550) nm
eps = sumita_k_psfn5.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=3.4965005−0.011373234⁢λ2.0+0.059139817⁢λ−2.0+0.0031967827⁢λ−4.0−9.7424772×10-5⁢λ−6.0+3.2744737×10-5⁢λ−8.0

Valid from 0.4 to 1.55 µm.

Coefficients as stored
CiValue
C13.4965005
C2-0.011373234
C32.0
C40.059139817
C5-2.0
C60.0031967827
C7-4.0
C8-9.7424772e-05
C9-6.0
C103.2744737e-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
1.92110
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 = 7.07e-06 K⁻¹ at 633 nm, dn/dT = 3.17e-06 K⁻¹ at 1310 nm, dn/dT = 2.89e-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 (SUMITA), K-PSFn5: n and k versus wavelength
λ (µm)nk
0.42.0038362.548800e-06
0.401362.0025742.458486e-06
0.4027252.0013272.367866e-06
0.4040952.0000962.276937e-06
0.4054691.998882.185698e-06
0.4068481.9976782.094150e-06
0.4082311.9964922.002290e-06
0.4096191.9953191.910118e-06
0.4110121.9941611.817632e-06
0.412411.9930171.724832e-06
0.4138131.9918861.631717e-06
0.415221.9907691.538284e-06
0.4166321.9896651.444534e-06
0.4180491.9885741.350465e-06
0.419471.9874951.256077e-06
0.421.9870981.220900e-06
0.4208971.986431.199049e-06
0.4223281.9853761.164168e-06
0.4237641.9843351.129168e-06
0.4252051.9833061.094049e-06
0.4266511.9822881.058811e-06
0.4281021.9812821.023453e-06
0.4295581.9802889.879752e-07
0.4310191.9793049.523764e-07
0.4324841.9783329.166565e-07
0.4339551.9773718.808152e-07
0.4354311.976428.448520e-07
0.4369121.975488.087665e-07
0.4383971.974557.725583e-07
0.4398881.973637.362269e-07
0.441.9735627.335000e-07
0.4413841.9727217.171467e-07
0.4428851.9718216.994111e-07
0.4443911.9709316.816153e-07
0.4459021.9700516.637589e-07
0.4474191.969186.458417e-07
0.448941.9683196.278637e-07
0.4504671.9674676.098245e-07
0.4519991.9666235.917240e-07
0.4535361.9657895.735619e-07
0.4550781.9649645.553380e-07
0.4566261.9641475.370522e-07
0.4581781.9633385.187042e-07
0.4597361.9625385.002938e-07
0.461.9624044.971800e-07
0.46131.9617474.877345e-07
0.4628691.9609634.763355e-07
0.4644431.9601884.648978e-07
0.4660221.9594214.534211e-07
0.4676071.9586614.419054e-07
0.4691971.9579094.303506e-07
0.4707921.9571654.187564e-07
0.4723931.9564284.071229e-07
0.4741.9556993.954497e-07
0.4756121.9549763.837369e-07
0.4772291.9542623.719842e-07
0.4788521.9535543.601916e-07
0.481.9530593.518500e-07
0.480481.9528533.495156e-07
0.4821141.9521593.415763e-07
0.4837541.9514723.336100e-07
0.4853991.9507923.256166e-07
0.487051.9501183.175961e-07
0.4887061.9494513.095483e-07
0.4903681.948793.014731e-07
0.4920351.9481362.933704e-07
0.4937091.9474882.852402e-07
0.4953871.9468462.770824e-07
0.4970721.9462112.688968e-07
0.4987621.9455812.606834e-07
0.51.9451252.546700e-07
0.5004591.9449582.532274e-07
0.502161.944342.478731e-07
0.5038681.9437282.425006e-07
0.5055821.9431222.371099e-07
0.5073011.9425212.317008e-07
0.5090261.9419262.262733e-07
0.5107571.9413372.208273e-07
0.5124941.9407532.153629e-07
0.5142371.9401752.098798e-07
0.5159851.9396022.043781e-07
0.517741.9390341.988577e-07
0.5195011.9384711.933186e-07
0.5212671.9379141.877605e-07
0.523041.9373611.821836e-07
0.5248191.9368141.765878e-07
0.5266031.9362711.709728e-07
0.5283941.9357341.653388e-07
0.5301911.9352011.596857e-07
0.5319941.9346731.540133e-07
0.5338031.934151.483216e-07
0.5356181.9336311.426106e-07
0.537441.9331171.368801e-07
0.5392671.9326081.311302e-07
0.5411011.9321031.253607e-07
0.5429411.9316031.195716e-07
0.5447881.9311071.137628e-07
0.546641.9306151.079342e-07
0.5484991.9301271.020859e-07
0.551.9297389.736400e-08
0.5503641.9296449.732193e-08
0.5522361.9291659.710584e-08
0.5541141.9286919.688901e-08
0.5559981.928229.667144e-08
0.5578891.9277539.645314e-08
0.5597861.9272919.623409e-08
0.561691.9268329.601430e-08
0.56361.9263779.579376e-08
0.5655161.9259279.557247e-08
0.567441.925489.535043e-08
0.5693691.9250369.512763e-08
0.5713051.9245979.490408e-08
0.5732481.9241619.467976e-08
0.5751981.9237299.445469e-08
0.5771541.9233019.422884e-08
0.5791161.9228769.400223e-08
0.5810861.9224559.377485e-08
0.5830621.9220379.354669e-08
0.5850441.9216239.331776e-08
0.5870341.9212129.308805e-08
0.589031.9208059.285756e-08
0.5910331.9204019.262629e-08
0.5930431.929.239423e-08
0.595061.9196039.216138e-08
0.5970841.9192089.192774e-08
0.5991141.9188179.169330e-08
0.61.9186489.159100e-08
0.6011511.918439.188825e-08
0.6031961.9180459.241604e-08
0.6052471.9176649.294563e-08
0.6073051.9172859.347702e-08
0.609371.916919.401022e-08
0.6114431.9165389.454523e-08
0.6135221.9161699.508206e-08
0.6156081.9158029.562072e-08
0.6177021.9154399.616120e-08
0.6198021.9150799.670353e-08
0.621911.9147219.724770e-08
0.6240251.9143669.779372e-08
0.6261471.9140159.834159e-08
0.6282761.9136669.889133e-08
0.6304131.9133199.944294e-08
0.6325561.9129769.999643e-08
0.6347081.9126351.005518e-07
0.6368661.9122971.011090e-07
0.6390321.9119611.016682e-07
0.6412051.9116281.022293e-07
0.6433851.9112981.027922e-07
0.6455731.910971.033571e-07
0.6477691.9106451.039239e-07
0.6499711.9103221.044926e-07
0.651.9103181.045000e-07
0.6521821.9100021.033672e-07
0.6543991.9096851.022155e-07
0.6566251.9093691.010600e-07
0.6588581.9090579.990051e-08
0.6610981.9087469.873710e-08
0.6633461.9084389.756973e-08
0.6656021.9081329.639839e-08
0.6678661.9078299.522306e-08
0.6701371.9075289.404374e-08
0.6724161.9072299.286041e-08
0.6747021.9069339.167305e-08
0.6769971.9066399.048166e-08
0.6792991.9063478.928621e-08
0.6816091.9060578.808670e-08
0.6839271.9057698.688311e-08
0.6862531.9054848.567543e-08
0.6885861.90528.446364e-08
0.6909281.9049198.324773e-08
0.6932781.904648.202769e-08
0.6956351.9043638.080349e-08
0.6980011.9040887.957514e-08
0.71.9038587.853700e-08
0.7003741.9038157.843441e-08
0.7027561.9035447.778175e-08
0.7051461.9032757.712687e-08
0.7075441.9030087.646977e-08
0.709951.9027437.581043e-08
0.7123641.902487.514884e-08
0.7147871.9022197.448501e-08
0.7172171.901967.381892e-08
0.7196561.9017037.315057e-08
0.7221041.9014477.247994e-08
0.7245591.9011937.180703e-08
0.7270231.9009427.113184e-08
0.7294961.9006927.045434e-08
0.7319761.9004446.977455e-08
0.7344651.9001976.909244e-08
0.7369631.8999526.840801e-08
0.7394691.899716.772126e-08
0.7419841.8994686.703216e-08
0.7445071.8992296.634073e-08
0.7470391.8989916.564695e-08
0.7495791.8987556.495080e-08
0.7521281.8985216.425229e-08
0.7546861.8982886.355140e-08
0.7572521.8980576.284813e-08
0.7598281.8978276.214247e-08
0.7624111.89766.143441e-08
0.7650041.8973736.072394e-08
0.7676061.8971496.001105e-08
0.7702161.8969255.929574e-08
0.7728351.8967045.857800e-08
0.7754631.8964845.785782e-08
0.77811.8962655.713518e-08
0.7807461.8960485.641009e-08
0.7834011.8958325.568254e-08
0.7860651.8956185.495251e-08
0.7887381.8954065.422000e-08
0.7914211.8951945.348499e-08
0.7941121.8949855.274749e-08
0.7968121.8947765.200748e-08
0.7995221.8945695.126495e-08
0.81.8945335.113400e-08
0.8022411.8943645.098467e-08
0.8049691.894165.080288e-08
0.8077071.8939575.062048e-08
0.8104531.8937555.043745e-08
0.8132091.8935555.025381e-08
0.8159751.8933575.006953e-08
0.8187491.8931594.988463e-08
0.8215341.8929634.969911e-08
0.8243271.8927684.951295e-08
0.8271311.8925744.932616e-08
0.8299431.8923824.913873e-08
0.8327661.8921914.895066e-08
0.8355981.8920014.876196e-08
0.8384391.8918134.857262e-08
0.841291.8916254.838263e-08
0.8441511.8914394.819199e-08
0.8470221.8912544.800071e-08
0.8499021.891074.780877e-08
0.8527931.8908884.761618e-08
0.8556931.8907064.742294e-08
0.8586031.8905264.722904e-08
0.8615221.8903474.703449e-08
0.8644521.8901694.683927e-08
0.8673921.8899924.664338e-08
0.8703411.8898164.644683e-08
0.8733011.8896414.624961e-08
0.8762711.8894684.605172e-08
0.8792511.8892954.585316e-08
0.8822411.8891244.565392e-08
0.8852411.8889534.545401e-08
0.8882511.8887844.525341e-08
0.8912721.8886164.505214e-08
0.8943031.8884484.485018e-08
0.8973441.8882824.464753e-08
0.9003951.8881174.444419e-08
0.9034571.8879524.424016e-08
0.906531.8877894.403544e-08
0.9096121.8876274.383002e-08
0.9127061.8874654.362390e-08
0.9158091.8873054.341709e-08
0.9189241.8871464.320956e-08
0.9220491.8869874.300134e-08
0.9251841.8868294.279240e-08
0.928331.8866734.258276e-08
0.9314871.8865174.237240e-08
0.9346551.8863624.216132e-08
0.9378331.8862084.194953e-08
0.9410231.8860554.173702e-08
0.9442231.8859034.152378e-08
0.9474341.8857524.130982e-08
0.9506551.8856014.109514e-08
0.9538881.8854524.087972e-08
0.9571321.8853034.066357e-08
0.9603871.8851554.044668e-08
0.9636531.8850084.022906e-08
0.966931.8848614.001070e-08
0.9702181.8847163.979159e-08
0.9735171.8845713.957174e-08
0.9768281.8844273.935114e-08
0.980151.8842843.912980e-08
0.9834831.8841423.890769e-08
0.9868271.8843.868484e-08
0.9901831.8838593.846122e-08
0.993551.8837193.823685e-08
0.9969291.883583.801171e-08
1.000321.8834413.778581e-08
1.003721.8833033.755914e-08
1.007131.8831663.733170e-08
1.010561.883033.710348e-08
1.0141.8828943.687449e-08
1.017441.8827593.664472e-08
1.02091.8826243.641417e-08
1.024381.8824913.618283e-08
1.027861.8823583.595071e-08
1.031351.8822253.571780e-08
1.034861.8820933.548409e-08
1.038381.8819623.524959e-08
1.041911.8818323.501430e-08
1.045451.8817023.477820e-08
1.049011.8815733.454130e-08
1.052581.8814453.430360e-08
1.056161.8813173.406508e-08
1.059751.8811893.382576e-08
1.061.881183.380900e-08
1.063351.8810633.419025e-08
1.066971.8809363.460150e-08
1.07061.8808113.501416e-08
1.074241.8806863.542821e-08
1.077891.8805623.584367e-08
1.081561.8804383.626055e-08
1.085231.8803153.667884e-08
1.088921.8801923.709856e-08
1.092631.880073.751970e-08
1.096341.8799483.794227e-08
1.100071.8798273.836629e-08
1.103811.8797073.879174e-08
1.107571.8795873.921864e-08
1.111331.8794673.964699e-08
1.115111.8793484.007680e-08
1.11891.8792294.050807e-08
1.122711.8791114.094081e-08
1.126531.8789944.137502e-08
1.130361.8788774.181070e-08
1.13421.878764.224787e-08
1.138061.8786444.268652e-08
1.141931.8785294.312667e-08
1.145811.8784134.356831e-08
1.149711.8782994.401145e-08
1.153621.8781844.445610e-08
1.157541.8780714.490227e-08
1.161481.8779574.534995e-08
1.165431.8778444.579915e-08
1.169391.8777324.624988e-08
1.173371.877624.670214e-08
1.177361.8775084.715594e-08
1.181361.8773964.761129e-08
1.185381.8772864.806818e-08
1.189411.8771754.852662e-08
1.193451.8770654.898663e-08
1.197511.8769554.944820e-08
1.201581.8768464.991134e-08
1.205671.8767375.037605e-08
1.209771.8766285.084235e-08
1.213881.876525.131023e-08
1.218011.8764125.177970e-08
1.222151.8763045.225077e-08
1.226311.8761975.272343e-08
1.230481.876095.319771e-08
1.234671.8759835.367360e-08
1.238861.8758775.415111e-08
1.243081.8757715.463024e-08
1.24731.8756655.511100e-08
1.251551.875565.559340e-08
1.25581.8754555.607744e-08
1.260071.875355.656312e-08
1.264361.8752465.705045e-08
1.268661.8751415.753944e-08
1.272971.8750385.803010e-08
1.27731.8749345.852242e-08
1.281641.8748315.901642e-08
1.2861.8747275.951209e-08
1.290381.8746256.000946e-08
1.294761.8745226.050851e-08
1.299171.874426.100926e-08
1.303581.8743186.151172e-08
1.308021.8742166.201588e-08
1.312471.8741146.252175e-08
1.316931.8740136.302935e-08
1.321411.8739126.353868e-08
1.32591.8738116.404973e-08
1.330411.873716.456252e-08
1.334931.8736096.507706e-08
1.339471.8735096.559335e-08
1.344031.8734096.611139e-08
1.34861.8733096.663120e-08
1.353181.8732096.715277e-08
1.357791.873116.767611e-08
1.36241.873016.820124e-08
1.367041.8729116.872815e-08
1.371691.8728126.925685e-08
1.376351.8727136.978735e-08
1.381031.8726147.031966e-08
1.385731.8725167.085377e-08
1.390441.8724177.138970e-08
1.395171.8723197.192746e-08
1.399911.8722217.246704e-08
1.404671.8721237.300846e-08
1.409451.8720257.355172e-08
1.414241.8719277.409682e-08
1.419051.8718297.464378e-08
1.423881.8717327.519260e-08
1.428721.8716347.574329e-08
1.433581.8715377.629585e-08
1.438451.871447.685028e-08
1.443341.8713437.740661e-08
1.448251.8712467.796482e-08
1.453181.8711497.852493e-08
1.458121.8710527.908695e-08
1.463081.8709557.965088e-08
1.468051.8708588.021673e-08
1.473051.8707618.078450e-08
1.478051.8706658.135420e-08
1.483081.8705688.192584e-08
1.488121.8704728.249942e-08
1.493191.8703758.307496e-08
1.498261.8702798.365245e-08
1.51.8702468.385000e-08
1.503361.8701828.654257e-08
1.508471.8700869.064186e-08
1.51361.869999.475509e-08
1.518751.8698939.888230e-08
1.523911.8697971.030236e-07
1.529091.8697011.071789e-07
1.534291.8696041.113483e-07
1.539511.8695081.155320e-07
1.544751.8694121.197299e-07
1.551.8693151.239420e-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
—