Optical constants

Refractive index of K-LaFK58(M) (SUMITA)

K-LaFK58(M): n,k 0.36–1.55 µm

Data
formula 3 + tabulated k
Range
0.36–1.55 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.36–1.55 µm
Refractive index n
1.69097
Extinction coefficient k
1.87414e-08
Permittivity ε1
2.85938
Permittivity ε2
6.33825e-08
Absorption coefficient α
0.00400803 cm⁻¹
Penetration depth δ = λ/(2πk)
4.98998e+09 nm
Abbe number Vd
58.396
Chromatic dispersion dn/dλ
-0.0611222 µm⁻¹
Group index ng
1.72689
Group velocity dispersion
106.969 fs²/mm
Dispersion parameter D
-583.572 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-LaFK58(M) (SUMITA): K-LaFK58(M)
mat = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-LaFK58(M)", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mat.range_nm)  # (360, 1550) nm
eps = mat.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=2.8101512−0.012726602⁢λ2.0+0.017535146⁢λ−2.0+0.00035913422⁢λ−4.0−8.8851874×10-6⁢λ−6.0+6.1852602×10-7⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C12.8101512
C2-0.012726602
C32.0
C40.017535146
C5-2.0
C60.00035913422
C7-4.0
C8-8.8851874e-06
C9-6.0
C106.1852602e-07
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -4.73e-06 9.33e-09 -1.14e-10 4.36e-07 4.83e-10 0.169
nd
1.69097
Vd
58.4
glass code
696590
density
value: 4560
thermal expansion
value: 6.9e-06, temperature range: 243 343; value: 9.3e-06, temperature range: 293 573
dPgF
-0.0029
resistance
acid: 4.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -1.95e-06 K⁻¹ at 633 nm, dn/dT = -2.40e-06 K⁻¹ at 1310 nm, dn/dT = -2.43e-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 416 wavelengths, the same grid as the API and the library
K-LaFK58(M) (SUMITA), K-LaFK58(M): n and k versus wavelength
λ (µm)nk
0.361.7214232.048200e-07
0.361321.721051.924406e-07
0.3626441.720681.800159e-07
0.3639731.7203141.675456e-07
0.3653081.719951.550296e-07
0.3666471.719591.424677e-07
0.3679911.7192331.298598e-07
0.369341.7188791.172056e-07
0.371.7187081.110100e-07
0.3706931.7185291.092673e-07
0.3720521.7181811.058523e-07
0.3734161.7178361.024248e-07
0.3747851.7174949.898477e-08
0.3761591.7171559.553209e-08
0.3775371.7168199.206676e-08
0.3789211.7164868.858872e-08
0.381.7162298.587800e-08
0.380311.7161568.486413e-08
0.3817041.7158288.031039e-08
0.3831041.7155047.573997e-08
0.3845081.7151827.115279e-08
0.3859171.7148636.654879e-08
0.3873321.7145466.192792e-08
0.3887521.7142325.729011e-08
0.391.7139595.321300e-08
0.3901771.7139215.266735e-08
0.3916071.7136124.825463e-08
0.3930431.7133064.382575e-08
0.3944831.7130033.938062e-08
0.3959291.7127023.491921e-08
0.3973811.7124043.044143e-08
0.3988371.7121082.594725e-08
0.41.7118742.236000e-08
0.4002991.7118142.222586e-08
0.4017671.7115232.156819e-08
0.4032391.7112352.090812e-08
0.4047171.7109482.024563e-08
0.4062011.7106651.958070e-08
0.407691.7103831.891335e-08
0.4091841.7101041.824354e-08
0.4106841.7098271.757128e-08
0.412191.7095521.689655e-08
0.4137011.709281.621936e-08
0.4152171.709011.553967e-08
0.4167391.7087421.485750e-08
0.4182671.7084761.417283e-08
0.41981.7082131.348565e-08
0.421.7081781.339600e-08
0.4213391.7079511.343871e-08
0.4228831.7076921.348798e-08
0.4244331.7074341.353743e-08
0.4259891.7071791.358706e-08
0.4275511.7069261.363687e-08
0.4291181.7066751.368686e-08
0.4306911.7064261.373704e-08
0.432271.7061791.378740e-08
0.4338541.7059341.383795e-08
0.4354451.7056911.388868e-08
0.4370411.705451.393960e-08
0.4386431.705211.399070e-08
0.441.705011.403400e-08
0.4402511.7049731.404200e-08
0.4418641.7047381.409348e-08
0.4434841.7045041.414514e-08
0.445111.7042721.419700e-08
0.4467411.7040431.424905e-08
0.4483791.7038141.430129e-08
0.4500231.7035881.435372e-08
0.4516721.7033641.440634e-08
0.4533281.7031411.445916e-08
0.454991.702921.451217e-08
0.4566571.7027011.456537e-08
0.4583311.7024831.461877e-08
0.461.7022691.467200e-08
0.4600111.7022671.467236e-08
0.4616981.7020531.472615e-08
0.463391.7018411.478014e-08
0.4650891.701631.483433e-08
0.4667931.7014211.488871e-08
0.4685051.7012131.494329e-08
0.4702221.7010071.499808e-08
0.4719461.7008031.505306e-08
0.4736751.70061.510825e-08
0.4754121.7003991.516364e-08
0.4771541.7001991.521923e-08
0.4789041.7000011.527502e-08
0.481.6998781.531000e-08
0.4806591.6998041.533099e-08
0.4824211.6996091.538711e-08
0.4841891.6994161.544343e-08
0.4859641.6992231.549996e-08
0.4877461.6990331.555669e-08
0.4895331.6988431.561364e-08
0.4913281.6986561.567079e-08
0.4931291.6984691.572815e-08
0.4949361.6982841.578573e-08
0.4967511.6981011.584351e-08
0.4985721.6979181.590151e-08
0.51.6977771.594700e-08
0.5003991.6977371.595973e-08
0.5022331.6975581.601825e-08
0.5040741.697381.607698e-08
0.5059221.6972031.613592e-08
0.5077771.6970271.619508e-08
0.5096381.6968531.625445e-08
0.5115061.696681.631405e-08
0.5133811.6965091.637386e-08
0.5152631.6963381.643389e-08
0.5171521.6961691.649414e-08
0.5190471.6960011.655461e-08
0.520951.6958351.661531e-08
0.522861.6956691.667622e-08
0.5247761.6955051.673736e-08
0.52671.6953421.679873e-08
0.5286311.695181.686032e-08
0.5305681.695021.692213e-08
0.5325131.694861.698417e-08
0.5344651.6947021.704644e-08
0.5364241.6945451.710894e-08
0.5383911.6943891.717166e-08
0.5403641.6942341.723462e-08
0.5423451.694081.729780e-08
0.5443331.6939281.736122e-08
0.5463281.6937761.742487e-08
0.5483311.6936251.748876e-08
0.551.6935011.754200e-08
0.5503411.6934761.755287e-08
0.5523581.6933281.761723e-08
0.5543831.693181.768182e-08
0.5564151.6930341.774664e-08
0.5584551.6928891.781171e-08
0.5605021.6927451.787701e-08
0.5625561.6926011.794255e-08
0.5646191.6924591.800833e-08
0.5666881.6923181.807435e-08
0.5687651.6921781.814062e-08
0.570851.6920381.820713e-08
0.5729431.69191.827388e-08
0.5750431.6917631.834087e-08
0.5771511.6916271.840811e-08
0.5792671.6914911.847560e-08
0.581391.6913571.854334e-08
0.5835211.6912231.861132e-08
0.585661.691091.867955e-08
0.5878071.6909591.874804e-08
0.5899611.6908281.881677e-08
0.5921241.6906981.888576e-08
0.5942951.6905691.895500e-08
0.5964731.690441.902449e-08
0.5986591.6903131.909424e-08
0.61.6902351.913700e-08
0.6008541.6901861.916424e-08
0.6030561.6900611.923450e-08
0.6052671.6899361.930502e-08
0.6074861.6898121.937579e-08
0.6097121.6896891.944683e-08
0.6119471.6895661.951812e-08
0.6141911.6894451.958968e-08
0.6164421.6893241.966150e-08
0.6187021.6892041.973358e-08
0.620971.6890851.980593e-08
0.6232461.6889661.987854e-08
0.625531.6888481.995142e-08
0.6278231.6887322.002456e-08
0.6301251.6886152.009798e-08
0.6324341.68852.017166e-08
0.6347531.6883852.024561e-08
0.6370791.6882712.031984e-08
0.6394151.6881582.039433e-08
0.6417591.6880452.046910e-08
0.6441111.6879342.054414e-08
0.6464721.6878222.061946e-08
0.6488421.6877122.069505e-08
0.651.6876582.073200e-08
0.651221.6876022.077090e-08
0.6536071.6874932.084700e-08
0.6560031.6873852.092338e-08
0.6584081.6872772.100004e-08
0.6608211.687172.107698e-08
0.6632441.6870642.115421e-08
0.6656751.6869582.123171e-08
0.6681151.6868532.130951e-08
0.6705641.6867482.138758e-08
0.6730221.6866442.146594e-08
0.6754891.6865412.154459e-08
0.6779651.6864382.162353e-08
0.680451.6863362.170276e-08
0.6829451.6862352.178227e-08
0.6854481.6861342.186208e-08
0.6879611.6860342.194218e-08
0.6904821.6859342.202258e-08
0.6930131.6858352.210327e-08
0.6955541.6857362.218425e-08
0.6981031.6856382.226554e-08
0.71.6855662.232600e-08
0.7006621.6855412.234713e-08
0.7032311.6854442.242906e-08
0.7058091.6853472.251129e-08
0.7083961.6852522.259382e-08
0.7109921.6851562.267666e-08
0.7135991.6850622.275980e-08
0.7162141.6849672.284324e-08
0.718841.6848742.292699e-08
0.7214751.684782.301105e-08
0.7241191.6846882.309541e-08
0.7267741.6845952.318008e-08
0.7294381.6845042.326507e-08
0.7321121.6844122.335036e-08
0.7347951.6843222.343597e-08
0.7374891.6842312.352189e-08
0.7401921.6841422.360813e-08
0.7429051.6840522.369468e-08
0.7456291.6839632.378155e-08
0.7483621.6838752.386874e-08
0.7511051.6837872.395625e-08
0.7538581.6836992.404408e-08
0.7566221.6836122.413223e-08
0.7593951.6835262.422070e-08
0.7621791.6834392.430950e-08
0.7649731.6833532.439863e-08
0.7677771.6832682.448808e-08
0.7705911.6831832.457786e-08
0.7734161.6830982.466796e-08
0.7762511.6830142.475840e-08
0.7790961.682932.484917e-08
0.7819521.6828472.494027e-08
0.7848181.6827642.503171e-08
0.7876951.6826812.512348e-08
0.7905831.6825992.521559e-08
0.7934811.6825172.530803e-08
0.7963891.6824352.540082e-08
0.7993091.6823542.549394e-08
0.81.6823352.551600e-08
0.8022381.6822732.558740e-08
0.8051791.6821932.568120e-08
0.8081311.6821132.577534e-08
0.8110931.6820332.586982e-08
0.8140661.6819542.596465e-08
0.817051.6818742.605983e-08
0.8200451.6817962.615536e-08
0.8230511.6817172.625124e-08
0.8260681.6816392.634747e-08
0.8290961.6815612.644406e-08
0.8321351.6814842.654099e-08
0.8351861.6814062.663828e-08
0.8382471.6813292.673593e-08
0.841321.6812532.683394e-08
0.8444041.6811762.693231e-08
0.8474991.68112.703103e-08
0.8506061.6810252.713012e-08
0.8537241.6809492.722957e-08
0.8568531.6808742.732939e-08
0.8599941.6807992.742957e-08
0.8631461.6807242.753012e-08
0.866311.680652.763104e-08
0.8694861.6805752.773233e-08
0.8726731.6805022.783399e-08
0.8758721.6804282.793602e-08
0.8790821.6803542.803843e-08
0.8823051.6802812.814121e-08
0.8855391.6802082.824437e-08
0.8887851.6801352.834790e-08
0.8920431.6800632.845182e-08
0.8953131.6799912.855612e-08
0.8985951.6799192.866080e-08
0.9018891.6798472.876586e-08
0.9051951.6797752.887131e-08
0.9085131.6797042.897714e-08
0.9118431.6796322.908336e-08
0.9151861.6795612.918997e-08
0.918541.679492.929698e-08
0.9219071.679422.940437e-08
0.9252871.6793492.951216e-08
0.9286781.6792792.962034e-08
0.9320831.6792092.972892e-08
0.9354991.6791392.983790e-08
0.9389281.6790692.994728e-08
0.942371.6789993.005706e-08
0.9458241.678933.016724e-08
0.9492911.678863.027782e-08
0.9527711.6787913.038881e-08
0.9562641.6787223.050021e-08
0.9597691.6786533.061202e-08
0.9632871.6785853.072423e-08
0.9668181.6785163.083686e-08
0.9703621.6784473.094990e-08
0.9739191.6783793.106335e-08
0.9774891.6783113.117722e-08
0.9810721.6782433.129151e-08
0.9846681.6781753.140621e-08
0.9882781.6781073.152134e-08
0.9919011.6780393.163689e-08
0.9955361.6779713.175286e-08
0.9991861.6779043.186926e-08
1.002851.6778363.198608e-08
1.006521.6777693.210333e-08
1.010211.6777023.222102e-08
1.013921.6776343.233913e-08
1.017631.6775673.245768e-08
1.021361.67753.257666e-08
1.025111.6774333.269607e-08
1.028871.6773663.281593e-08
1.032641.6772993.293622e-08
1.036421.6772333.305696e-08
1.040221.6771663.317813e-08
1.044031.6770993.329976e-08
1.047861.6770333.342182e-08
1.05171.6769663.354434e-08
1.055561.67693.366730e-08
1.059431.6768333.379072e-08
1.061.6768233.380900e-08
1.063311.6767673.391457e-08
1.067211.67673.403888e-08
1.071121.6766343.416365e-08
1.075051.6765683.428887e-08
1.078991.6765013.441455e-08
1.082941.6764353.454070e-08
1.086911.6763693.466730e-08
1.09091.6763023.479437e-08
1.094891.6762363.492190e-08
1.098911.676173.504991e-08
1.102941.6761033.517838e-08
1.106981.6760373.530732e-08
1.111041.6759713.543673e-08
1.115111.6759043.556662e-08
1.11921.6758383.569699e-08
1.12331.6757723.582783e-08
1.127421.6757053.595916e-08
1.131551.6756393.609096e-08
1.13571.6755733.622325e-08
1.139861.6755063.635602e-08
1.144041.675443.648928e-08
1.148231.6753733.662303e-08
1.152441.6753063.675726e-08
1.156671.675243.689199e-08
1.160911.6751733.702722e-08
1.165161.6751063.716294e-08
1.169431.675043.729915e-08
1.173721.6749733.743587e-08
1.178021.6749063.757309e-08
1.182341.6748393.771081e-08
1.186671.6747723.784903e-08
1.191021.6747043.798776e-08
1.195391.6746373.812700e-08
1.199771.674573.826675e-08
1.204171.6745023.840702e-08
1.208581.6744353.854779e-08
1.213011.6743673.868909e-08
1.217461.67433.883090e-08
1.221921.6742323.897323e-08
1.22641.6741643.911608e-08
1.23091.6740963.925946e-08
1.235411.6740283.940336e-08
1.239941.6739593.954779e-08
1.244481.6738913.969275e-08
1.249041.6738223.983824e-08
1.253621.6737543.998426e-08
1.258221.6736854.013082e-08
1.262831.6736164.027792e-08
1.267461.6735474.042555e-08
1.272111.6734784.057373e-08
1.276771.6734084.072245e-08
1.281451.6733394.087171e-08
1.286151.6732694.102153e-08
1.290861.6731994.117189e-08
1.295591.6731294.132280e-08
1.300341.6730594.147426e-08
1.305111.6729894.162628e-08
1.309891.6729184.177886e-08
1.314691.6728474.193200e-08
1.319511.6727764.208570e-08
1.324351.6727054.223996e-08
1.32921.6726344.239479e-08
1.334081.6725624.255018e-08
1.338971.6724914.270615e-08
1.343881.6724194.286268e-08
1.34881.6723474.301979e-08
1.353751.6722744.317748e-08
1.358711.6722024.333574e-08
1.363691.6721294.349458e-08
1.368691.6720564.365401e-08
1.37371.6719834.381402e-08
1.378741.671914.397462e-08
1.383791.6718364.413580e-08
1.388871.6717624.429758e-08
1.393961.6716884.445995e-08
1.399071.6716134.462292e-08
1.40421.6715394.478648e-08
1.409341.6714644.495064e-08
1.414511.6713894.511540e-08
1.419691.6713134.528077e-08
1.42491.6712374.544674e-08
1.430121.6711614.561333e-08
1.435361.6710854.578052e-08
1.440621.6710094.594833e-08
1.445911.6709324.611675e-08
1.451211.6708554.628578e-08
1.456521.6707774.645544e-08
1.461861.67074.662572e-08
1.467221.6706224.679663e-08
1.47261.6705434.696816e-08
1.4781.6704654.714031e-08
1.483421.6703864.731310e-08
1.488851.6703064.748653e-08
1.494311.6702274.766059e-08
1.499791.6701474.783528e-08
1.51.6701444.784200e-08
1.505291.6700665.090785e-08
1.51081.6699865.410749e-08
1.516341.6699055.731886e-08
1.52191.6698246.054200e-08
1.527481.6697426.377696e-08
1.533081.669666.702377e-08
1.53871.6695787.028249e-08
1.544341.6694957.355315e-08
1.551.6694127.683580e-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
—