Optical constants

Refractive index of K-CD45(M) (SUMITA)

K-CD45(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
1.68673
Extinction coefficient k
2.81403e-08
Permittivity ε1
2.84505
Permittivity ε2
9.49300e-08
Absorption coefficient α
0.00601806 cm⁻¹
Penetration depth δ = λ/(2πk)
3.32333e+09 nm
Abbe number Vd
34.156
Chromatic dispersion dn/dλ
-0.101608 µm⁻¹
Group index ng
1.74643
Group velocity dispersion
200.189 fs²/mm
Dispersion parameter D
-1092.14 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-CD45(M) (SUMITA): K-CD45(M)
sumita_k_cd45_m = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-CD45(M)", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_cd45_m.range_nm)  # (400, 1550) nm
eps = sumita_k_cd45_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=2.7618542−0.011387611⁢λ2.0+0.02681912⁢λ−2.0+0.0011728044⁢λ−4.0−3.975188×10-5⁢λ−6.0+8.2439775×10-6⁢λ−8.0

Valid from 0.4 to 1.55 µm.

Coefficients as stored
CiValue
C12.7618542
C2-0.011387611
C32.0
C40.02681912
C5-2.0
C60.0011728044
C7-4.0
C8-3.975188e-05
C9-6.0
C108.2439775e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -4.77e-06 1.49e-08 -1.38e-10 7.8e-07 7.44e-10 0.271
nd
1.68673
Vd
34.1
glass code
693337
density
value: 3130
thermal expansion
value: 9.1e-06, temperature range: 243 343; value: 1.21e-05, temperature range: 293 573
dPgF
0.0064
resistance
acid: 1.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -1.30e-06 K⁻¹ at 633 nm, dn/dT = -2.27e-06 K⁻¹ at 1310 nm, dn/dT = -2.34e-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-CD45(M) (SUMITA), K-CD45(M): n and k versus wavelength
λ (µm)nk
0.41.7252074.032900e-07
0.401361.7246543.899262e-07
0.4027251.7241083.765170e-07
0.4040951.7235673.630622e-07
0.4054691.7230323.495617e-07
0.4068481.7225033.360152e-07
0.4082311.7219793.224227e-07
0.4096191.7214613.087839e-07
0.4110121.7209482.950988e-07
0.412411.720442.813671e-07
0.4138131.7199382.675887e-07
0.415221.7194412.537635e-07
0.4166321.7189492.398913e-07
0.4180491.7184622.259719e-07
0.419471.717982.120051e-07
0.421.7178022.068000e-07
0.4208971.7175032.037734e-07
0.4223281.717031.989420e-07
0.4237641.7165631.940942e-07
0.4252051.71611.892299e-07
0.4266511.7156421.843490e-07
0.4281021.7151881.794516e-07
0.4295581.7147391.745375e-07
0.4310191.7142941.696067e-07
0.4324841.7138531.646591e-07
0.4339551.7134171.596947e-07
0.4354311.7129851.547134e-07
0.4369121.7125571.497152e-07
0.4383971.7121341.447000e-07
0.4398881.7117141.396677e-07
0.441.7116831.392900e-07
0.4413841.7112991.371061e-07
0.4428851.7108871.347375e-07
0.4443911.710481.323609e-07
0.4459021.7100761.299762e-07
0.4474191.7096761.275834e-07
0.448941.709281.251825e-07
0.4504671.7088871.227734e-07
0.4519991.7084991.203561e-07
0.4535361.7081131.179306e-07
0.4550781.7077321.154969e-07
0.4566261.7073541.130548e-07
0.4581781.7069791.106045e-07
0.4597361.7066081.081458e-07
0.461.7065461.077300e-07
0.46131.7062411.057437e-07
0.4628691.7058761.033467e-07
0.4644431.7055151.009415e-07
0.4660221.7051579.852807e-08
0.4676071.7048039.610648e-08
0.4691971.7044529.367664e-08
0.4707921.7041039.123855e-08
0.4723931.7037588.879216e-08
0.4741.7034168.633745e-08
0.4756121.7030778.387440e-08
0.4772291.7027428.140297e-08
0.4788521.7024097.892313e-08
0.481.7021767.716900e-08
0.480481.7020797.666283e-08
0.4821141.7017517.494141e-08
0.4837541.7014277.321412e-08
0.4853991.7011067.148097e-08
0.487051.7007876.974192e-08
0.4887061.7004716.799695e-08
0.4903681.7001586.624605e-08
0.4920351.6998486.448920e-08
0.4937091.699546.272638e-08
0.4953871.6992356.095755e-08
0.4970721.6989335.918272e-08
0.4987621.6986335.740185e-08
0.51.6984155.609800e-08
0.5004591.6983355.582510e-08
0.502161.6980415.481222e-08
0.5038681.6977485.379589e-08
0.5055821.6974585.277610e-08
0.5073011.6971715.175285e-08
0.5090261.6968865.072612e-08
0.5107571.6966034.969589e-08
0.5124941.6963234.866217e-08
0.5142371.6960454.762492e-08
0.5159851.695774.658415e-08
0.517741.6954964.553984e-08
0.5195011.6952254.449198e-08
0.5212671.6949564.344056e-08
0.523041.694694.238556e-08
0.5248191.6944254.132697e-08
0.5266031.6941634.026478e-08
0.5283941.6939033.919898e-08
0.5301911.6936453.812956e-08
0.5319941.6933893.705650e-08
0.5338031.6931353.597979e-08
0.5356181.6928833.489942e-08
0.537441.6926333.381537e-08
0.5392671.6923863.272764e-08
0.5411011.692143.163621e-08
0.5429411.6918963.054107e-08
0.5447881.6916542.944221e-08
0.546641.6914142.833960e-08
0.5484991.6911762.723325e-08
0.551.6909862.634000e-08
0.5503641.690942.635745e-08
0.5522361.6907052.644706e-08
0.5541141.6904732.653697e-08
0.5559981.6902422.662720e-08
0.5578891.6900132.671772e-08
0.5597861.6897862.680856e-08
0.561691.6895612.689971e-08
0.56361.6893382.699116e-08
0.5655161.6891162.708293e-08
0.567441.6888962.717501e-08
0.5693691.6886772.726740e-08
0.5713051.688462.736010e-08
0.5732481.6882452.745312e-08
0.5751981.6880322.754646e-08
0.5771541.687822.764012e-08
0.5791161.687612.773409e-08
0.5810861.6874012.782838e-08
0.5830621.6871942.792299e-08
0.5850441.6869892.801793e-08
0.5870341.6867852.811319e-08
0.589031.6865832.820877e-08
0.5910331.6863822.830468e-08
0.5930431.6861822.840091e-08
0.595061.6859852.849747e-08
0.5970841.6857882.859436e-08
0.5991141.6855932.869158e-08
0.61.6855092.873400e-08
0.6011511.68542.878915e-08
0.6031961.6852082.888707e-08
0.6052471.6850172.898532e-08
0.6073051.6848282.908391e-08
0.609371.684642.918284e-08
0.6114431.6844542.928210e-08
0.6135221.6842692.938169e-08
0.6156081.6840852.948163e-08
0.6177021.6839022.958191e-08
0.6198021.6837212.968252e-08
0.621911.6835422.978348e-08
0.6240251.6833632.988479e-08
0.6261471.6831862.998643e-08
0.6282761.683013.008843e-08
0.6304131.6828353.019077e-08
0.6325561.6826623.029345e-08
0.6347081.682493.039649e-08
0.6368661.6823193.049988e-08
0.6390321.6821493.060362e-08
0.6412051.681983.070771e-08
0.6433851.6818133.081215e-08
0.6455731.6816473.091696e-08
0.6477691.6814823.102211e-08
0.6499711.6813183.112763e-08
0.651.6813163.112900e-08
0.6521821.6811553.123346e-08
0.6543991.6809933.133965e-08
0.6566251.6808333.144620e-08
0.6588581.6806733.155311e-08
0.6610981.6805153.166039e-08
0.6633461.6803583.176803e-08
0.6656021.6802023.187603e-08
0.6678661.6800473.198441e-08
0.6701371.6798933.209315e-08
0.6724161.679743.220227e-08
0.6747021.6795883.231175e-08
0.6769971.6794373.242161e-08
0.6792991.6792873.253183e-08
0.6816091.6791383.264244e-08
0.6839271.678993.275342e-08
0.6862531.6788433.286478e-08
0.6885861.6786973.297652e-08
0.6909281.6785523.308863e-08
0.6932781.6784083.320113e-08
0.6956351.6782653.331401e-08
0.6980011.6781233.342728e-08
0.71.6780043.352300e-08
0.7003741.6779823.349302e-08
0.7027561.6778413.330232e-08
0.7051461.6777023.311097e-08
0.7075441.6775643.291897e-08
0.709951.6774263.272631e-08
0.7123641.6772893.253300e-08
0.7147871.6771533.233903e-08
0.7172171.6770183.214440e-08
0.7196561.6768843.194912e-08
0.7221041.6767513.175316e-08
0.7245591.6766193.155654e-08
0.7270231.6764873.135925e-08
0.7294961.6763563.116129e-08
0.7319761.6762263.096266e-08
0.7344651.6760973.076335e-08
0.7369631.6759693.056337e-08
0.7394691.6758423.036270e-08
0.7419841.6757153.016135e-08
0.7445071.6755892.995932e-08
0.7470391.6754642.975660e-08
0.7495791.6753392.955319e-08
0.7521281.6752162.934909e-08
0.7546861.6750932.914429e-08
0.7572521.674972.893880e-08
0.7598281.6748492.873261e-08
0.7624111.6747282.852572e-08
0.7650041.6746082.831812e-08
0.7676061.6744892.810982e-08
0.7702161.674372.790081e-08
0.7728351.6742522.769109e-08
0.7754631.6741352.748066e-08
0.77811.6740192.726951e-08
0.7807461.6739032.705764e-08
0.7834011.6737882.684506e-08
0.7860651.6736732.663175e-08
0.7887381.6735592.641771e-08
0.7914211.6734462.620295e-08
0.7941121.6733332.598745e-08
0.7968121.6732212.577123e-08
0.7995221.673112.555426e-08
0.81.673092.551600e-08
0.8022411.6729992.544162e-08
0.8049691.6728892.535108e-08
0.8077071.672782.526023e-08
0.8104531.6726712.516907e-08
0.8132091.6725632.507761e-08
0.8159751.6724552.498583e-08
0.8187491.6723482.489373e-08
0.8215341.6722412.480133e-08
0.8243271.6721352.470861e-08
0.8271311.672032.461557e-08
0.8299431.6719252.452222e-08
0.8327661.6718212.442855e-08
0.8355981.6717172.433457e-08
0.8384391.6716142.424026e-08
0.841291.6715112.414563e-08
0.8441511.6714092.405068e-08
0.8470221.6713072.395541e-08
0.8499021.6712062.385982e-08
0.8527931.6711052.376389e-08
0.8556931.6710052.366765e-08
0.8586031.6709062.357107e-08
0.8615221.6708072.347417e-08
0.8644521.6707082.337694e-08
0.8673921.670612.327937e-08
0.8703411.6705122.318148e-08
0.8733011.6704152.308325e-08
0.8762711.6703182.298469e-08
0.8792511.6702222.288579e-08
0.8822411.6701262.278656e-08
0.8852411.6700312.268699e-08
0.8882511.6699362.258708e-08
0.8912721.6698412.248683e-08
0.8943031.6697472.238624e-08
0.8973441.6696542.228531e-08
0.9003951.669562.218403e-08
0.9034571.6694682.208241e-08
0.906531.6693752.198045e-08
0.9096121.6692832.187813e-08
0.9127061.6691922.177547e-08
0.9158091.6691012.167246e-08
0.9189241.669012.156910e-08
0.9220491.6689192.146539e-08
0.9251841.6688292.136133e-08
0.928331.668742.125691e-08
0.9314871.668652.115214e-08
0.9346551.6685622.104701e-08
0.9378331.6684732.094152e-08
0.9410231.6683852.083568e-08
0.9442231.6682972.072947e-08
0.9474341.668212.062291e-08
0.9506551.6681222.051598e-08
0.9538881.6680362.040869e-08
0.9571321.6679492.030103e-08
0.9603871.6678632.019301e-08
0.9636531.6677772.008462e-08
0.966931.6676921.997586e-08
0.9702181.6676071.986673e-08
0.9735171.6675221.975723e-08
0.9768281.6674371.964736e-08
0.980151.6673531.953711e-08
0.9834831.6672691.942649e-08
0.9868271.6671851.931549e-08
0.9901831.6671021.920412e-08
0.993551.6670191.909236e-08
0.9969291.6669361.898023e-08
1.000321.6668541.886772e-08
1.003721.6667711.875482e-08
1.007131.6666891.864154e-08
1.010561.6666081.852787e-08
1.0141.6665261.841382e-08
1.017441.6664451.829938e-08
1.02091.6663641.818455e-08
1.024381.6662831.806933e-08
1.027861.6662031.795371e-08
1.031351.6661231.783771e-08
1.034861.6660431.772131e-08
1.038381.6659631.760451e-08
1.041911.6658831.748732e-08
1.045451.6658041.736973e-08
1.049011.6657251.725174e-08
1.052581.6656461.713334e-08
1.056161.6655671.701455e-08
1.059751.6654891.689535e-08
1.061.6654831.688700e-08
1.063351.665411.694041e-08
1.066971.6653321.699802e-08
1.07061.6652541.705582e-08
1.074241.6651771.711383e-08
1.077891.6650991.717203e-08
1.081561.6650221.723043e-08
1.085231.6649441.728902e-08
1.088921.6648671.734782e-08
1.092631.6647911.740681e-08
1.096341.6647141.746601e-08
1.100071.6646371.752541e-08
1.103811.6645611.758501e-08
1.107571.6644851.764481e-08
1.111331.6644091.770482e-08
1.115111.6643331.776503e-08
1.11891.6642571.782544e-08
1.122711.6641811.788606e-08
1.126531.6641061.794689e-08
1.130361.664031.800792e-08
1.13421.6639551.806916e-08
1.138061.663881.813061e-08
1.141931.6638051.819227e-08
1.145811.663731.825413e-08
1.149711.6636551.831621e-08
1.153621.663581.837850e-08
1.157541.6635061.844100e-08
1.161481.6634311.850371e-08
1.165431.6633571.856664e-08
1.169391.6632821.862978e-08
1.173371.6632081.869314e-08
1.177361.6631341.875671e-08
1.181361.663061.882050e-08
1.185381.6629861.888450e-08
1.189411.6629121.894872e-08
1.193451.6628381.901316e-08
1.197511.6627641.907782e-08
1.201581.662691.914270e-08
1.205671.6626171.920780e-08
1.209771.6625431.927312e-08
1.213881.6624691.933866e-08
1.218011.6623961.940443e-08
1.222151.6623221.947042e-08
1.226311.6622491.953663e-08
1.230481.6621751.960307e-08
1.234671.6621021.966974e-08
1.238861.6620291.973663e-08
1.243081.6619551.980375e-08
1.24731.6618821.987109e-08
1.251551.6618091.993867e-08
1.25581.6617352.000648e-08
1.260071.6616622.007451e-08
1.264361.6615892.014278e-08
1.268661.6615152.021128e-08
1.272971.6614422.028002e-08
1.27731.6613692.034898e-08
1.281641.6612962.041818e-08
1.2861.6612222.048762e-08
1.290381.6611492.055729e-08
1.294761.6610752.062720e-08
1.299171.6610022.069735e-08
1.303581.6609292.076774e-08
1.308021.6608552.083836e-08
1.312471.6607822.090923e-08
1.316931.6607082.098034e-08
1.321411.6606352.105169e-08
1.32591.6605612.112328e-08
1.330411.6604872.119511e-08
1.334931.6604142.126719e-08
1.339471.660342.133951e-08
1.344031.6602662.141208e-08
1.34861.6601922.148490e-08
1.353181.6601182.155797e-08
1.357791.6600442.163128e-08
1.36241.659972.170484e-08
1.367041.6598962.177865e-08
1.371691.6598222.185272e-08
1.376351.6597472.192703e-08
1.381031.6596732.200160e-08
1.385731.6595982.207642e-08
1.390441.6595242.215150e-08
1.395171.6594492.222683e-08
1.399911.6593742.230242e-08
1.404671.6592992.237826e-08
1.409451.6592242.245436e-08
1.414241.6591492.253072e-08
1.419051.6590742.260735e-08
1.423881.6589982.268423e-08
1.428721.6589232.276137e-08
1.433581.6588472.283878e-08
1.438451.6587722.291644e-08
1.443341.6586962.299438e-08
1.448251.658622.307257e-08
1.453181.6585432.315104e-08
1.458121.6584672.322977e-08
1.463081.658392.330877e-08
1.468051.6583142.338803e-08
1.473051.6582372.346757e-08
1.478051.658162.354738e-08
1.483081.6580832.362745e-08
1.488121.6580062.370780e-08
1.493191.6579282.378843e-08
1.498261.657852.386933e-08
1.51.6578242.389700e-08
1.503361.6577732.710250e-08
1.508471.6576953.198267e-08
1.51361.6576163.687945e-08
1.518751.6575384.179287e-08
1.523911.6574594.672300e-08
1.529091.6573815.166990e-08
1.534291.6573025.663363e-08
1.539511.6572226.161423e-08
1.544751.6571436.661177e-08
1.551.6570637.162630e-08

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
—