Optical constants

Refractive index of K-LaFK58 (SUMITA)

K-LaFK58: 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
1.6956
Extinction coefficient k
1.87414e-08
Permittivity ε1
2.87506
Permittivity ε2
6.35560e-08
Absorption coefficient α
0.00400803 cm⁻¹
Penetration depth δ = λ/(2πk)
4.98998e+09 nm
Abbe number Vd
59.057
Chromatic dispersion dn/dλ
-0.0608284 µm⁻¹
Group index ng
1.73134
Group velocity dispersion
106.675 fs²/mm
Dispersion parameter D
-581.97 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 (SUMITA): K-LaFK58
sumita_k_lafk58 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-LaFK58", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_lafk58.range_nm)  # (360, 1550) nm
eps = sumita_k_lafk58.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=2.8262394−0.012783119⁢λ2.0+0.017254526⁢λ−2.0+0.00043487714⁢λ−4.0−1.9342271×10-5⁢λ−6.0+1.18082×10-6⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C12.8262394
C2-0.012783119
C32.0
C40.017254526
C5-2.0
C60.00043487714
C7-4.0
C8-1.9342271e-05
C9-6.0
C101.18082e-06
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
1.69560
Vd
59.0
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
-0.0019
resistance
acid: 4.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -1.96e-06 K⁻¹ at 633 nm, dn/dT = -2.42e-06 K⁻¹ at 1310 nm, dn/dT = -2.45e-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 (SUMITA), K-LaFK58: n and k versus wavelength
λ (µm)nk
0.361.7259522.048200e-07
0.361321.7255791.924406e-07
0.3626441.725211.800159e-07
0.3639731.7248441.675456e-07
0.3653081.7244811.550296e-07
0.3666471.7241211.424677e-07
0.3679911.7237641.298598e-07
0.369341.7234111.172056e-07
0.371.7232391.110100e-07
0.3706931.723061.092673e-07
0.3720521.7227131.058523e-07
0.3734161.7223691.024248e-07
0.3747851.7220289.898477e-08
0.3761591.7216899.553209e-08
0.3775371.7213549.206676e-08
0.3789211.7210218.858872e-08
0.381.7207658.587800e-08
0.380311.7206928.486413e-08
0.3817041.7203658.031039e-08
0.3831041.7200417.573997e-08
0.3845081.719727.115279e-08
0.3859171.7194016.654879e-08
0.3873321.7190866.192792e-08
0.3887521.7187735.729011e-08
0.391.7185015.321300e-08
0.3901771.7184625.266735e-08
0.3916071.7181554.825463e-08
0.3930431.7178494.382575e-08
0.3944831.7175473.938062e-08
0.3959291.7172473.491921e-08
0.3973811.7169493.044143e-08
0.3988371.7166542.594725e-08
0.41.7164212.236000e-08
0.4002991.7163622.222586e-08
0.4017671.7160722.156819e-08
0.4032391.7157842.090812e-08
0.4047171.7154982.024563e-08
0.4062011.7152161.958070e-08
0.407691.7149351.891335e-08
0.4091841.7146571.824354e-08
0.4106841.7143811.757128e-08
0.412191.7141071.689655e-08
0.4137011.7138361.621936e-08
0.4152171.7135661.553967e-08
0.4167391.7132991.485750e-08
0.4182671.7130341.417283e-08
0.41981.7127721.348565e-08
0.421.7127381.339600e-08
0.4213391.7125111.343871e-08
0.4228831.7122531.348798e-08
0.4244331.7119961.353743e-08
0.4259891.7117421.358706e-08
0.4275511.711491.363687e-08
0.4291181.711241.368686e-08
0.4306911.7109921.373704e-08
0.432271.7107461.378740e-08
0.4338541.7105011.383795e-08
0.4354451.7102591.388868e-08
0.4370411.7100191.393960e-08
0.4386431.7097811.399070e-08
0.441.7095811.403400e-08
0.4402511.7095441.404200e-08
0.4418641.709311.409348e-08
0.4434841.7090771.414514e-08
0.445111.7088461.419700e-08
0.4467411.7086171.424905e-08
0.4483791.708391.430129e-08
0.4500231.7081641.435372e-08
0.4516721.7079411.440634e-08
0.4533281.7077191.445916e-08
0.454991.7074991.451217e-08
0.4566571.707281.456537e-08
0.4583311.7070641.461877e-08
0.461.706851.467200e-08
0.4600111.7068491.467236e-08
0.4616981.7066351.472615e-08
0.463391.7064241.478014e-08
0.4650891.7062141.483433e-08
0.4667931.7060051.488871e-08
0.4685051.7057991.494329e-08
0.4702221.7055941.499808e-08
0.4719461.705391.505306e-08
0.4736751.7051881.510825e-08
0.4754121.7049881.516364e-08
0.4771541.7047891.521923e-08
0.4789041.7045911.527502e-08
0.481.7044691.531000e-08
0.4806591.7043951.533099e-08
0.4824211.7042011.538711e-08
0.4841891.7040081.544343e-08
0.4859641.7038171.549996e-08
0.4877461.7036271.555669e-08
0.4895331.7034381.561364e-08
0.4913281.7032511.567079e-08
0.4931291.7030661.572815e-08
0.4949361.7028811.578573e-08
0.4967511.7026981.584351e-08
0.4985721.7025171.590151e-08
0.51.7023761.594700e-08
0.5003991.7023371.595973e-08
0.5022331.7021581.601825e-08
0.5040741.7019811.607698e-08
0.5059221.7018051.613592e-08
0.5077771.701631.619508e-08
0.5096381.7014561.625445e-08
0.5115061.7012841.631405e-08
0.5133811.7011131.637386e-08
0.5152631.7009441.643389e-08
0.5171521.7007751.649414e-08
0.5190471.7006081.655461e-08
0.520951.7004421.661531e-08
0.522861.7002771.667622e-08
0.5247761.7001141.673736e-08
0.52671.6999521.679873e-08
0.5286311.699791.686032e-08
0.5305681.6996311.692213e-08
0.5325131.6994721.698417e-08
0.5344651.6993141.704644e-08
0.5364241.6991581.710894e-08
0.5383911.6990021.717166e-08
0.5403641.6988481.723462e-08
0.5423451.6986951.729780e-08
0.5443331.6985431.736122e-08
0.5463281.6983921.742487e-08
0.5483311.6982421.748876e-08
0.551.6981191.754200e-08
0.5503411.6980941.755287e-08
0.5523581.6979461.761723e-08
0.5543831.6977991.768182e-08
0.5564151.6976541.774664e-08
0.5584551.6975091.781171e-08
0.5605021.6973651.787701e-08
0.5625561.6972231.794255e-08
0.5646191.6970811.800833e-08
0.5666881.6969411.807435e-08
0.5687651.6968011.814062e-08
0.570851.6966631.820713e-08
0.5729431.6965251.827388e-08
0.5750431.6963881.834087e-08
0.5771511.6962521.840811e-08
0.5792671.6961181.847560e-08
0.581391.6959841.854334e-08
0.5835211.6958511.861132e-08
0.585661.6957191.867955e-08
0.5878071.6955881.874804e-08
0.5899611.6954571.881677e-08
0.5921241.6953281.888576e-08
0.5942951.69521.895500e-08
0.5964731.6950721.902449e-08
0.5986591.6949451.909424e-08
0.61.6948681.913700e-08
0.6008541.6948191.916424e-08
0.6030561.6946941.923450e-08
0.6052671.694571.930502e-08
0.6074861.6944471.937579e-08
0.6097121.6943241.944683e-08
0.6119471.6942021.951812e-08
0.6141911.6940811.958968e-08
0.6164421.6939611.966150e-08
0.6187021.6938421.973358e-08
0.620971.6937231.980593e-08
0.6232461.6936051.987854e-08
0.625531.6934881.995142e-08
0.6278231.6933722.002456e-08
0.6301251.6932562.009798e-08
0.6324341.6931412.017166e-08
0.6347531.6930272.024561e-08
0.6370791.6929142.031984e-08
0.6394151.6928012.039433e-08
0.6417591.6926892.046910e-08
0.6441111.6925782.054414e-08
0.6464721.6924682.061946e-08
0.6488421.6923582.069505e-08
0.651.6923042.073200e-08
0.651221.6922492.077090e-08
0.6536071.692142.084700e-08
0.6560031.6920322.092338e-08
0.6584081.6919252.100004e-08
0.6608211.6918192.107698e-08
0.6632441.6917132.115421e-08
0.6656751.6916082.123171e-08
0.6681151.6915032.130951e-08
0.6705641.6913992.138758e-08
0.6730221.6912962.146594e-08
0.6754891.6911932.154459e-08
0.6779651.6910912.162353e-08
0.680451.690992.170276e-08
0.6829451.6908892.178227e-08
0.6854481.6907882.186208e-08
0.6879611.6906892.194218e-08
0.6904821.690592.202258e-08
0.6930131.6904912.210327e-08
0.6955541.6903932.218425e-08
0.6981031.6902962.226554e-08
0.71.6902242.232600e-08
0.7006621.6901992.234713e-08
0.7032311.6901022.242906e-08
0.7058091.6900072.251129e-08
0.7083961.6899112.259382e-08
0.7109921.6898172.267666e-08
0.7135991.6897222.275980e-08
0.7162141.6896292.284324e-08
0.718841.6895362.292699e-08
0.7214751.6894432.301105e-08
0.7241191.6893512.309541e-08
0.7267741.6892592.318008e-08
0.7294381.6891682.326507e-08
0.7321121.6890772.335036e-08
0.7347951.6889872.343597e-08
0.7374891.6888972.352189e-08
0.7401921.6888082.360813e-08
0.7429051.6887192.369468e-08
0.7456291.6886312.378155e-08
0.7483621.6885432.386874e-08
0.7511051.6884562.395625e-08
0.7538581.6883692.404408e-08
0.7566221.6882822.413223e-08
0.7593951.6881962.422070e-08
0.7621791.688112.430950e-08
0.7649731.6880252.439863e-08
0.7677771.687942.448808e-08
0.7705911.6878562.457786e-08
0.7734161.6877712.466796e-08
0.7762511.6876882.475840e-08
0.7790961.6876052.484917e-08
0.7819521.6875222.494027e-08
0.7848181.6874392.503171e-08
0.7876951.6873572.512348e-08
0.7905831.6872752.521559e-08
0.7934811.6871942.530803e-08
0.7963891.6871132.540082e-08
0.7993091.6870322.549394e-08
0.81.6870132.551600e-08
0.8022381.6869522.558740e-08
0.8051791.6868722.568120e-08
0.8081311.6867922.577534e-08
0.8110931.6867132.586982e-08
0.8140661.6866342.596465e-08
0.817051.6865552.605983e-08
0.8200451.6864772.615536e-08
0.8230511.6863992.625124e-08
0.8260681.6863222.634747e-08
0.8290961.6862442.644406e-08
0.8321351.6861672.654099e-08
0.8351861.686092.663828e-08
0.8382471.6860142.673593e-08
0.841321.6859382.683394e-08
0.8444041.6858622.693231e-08
0.8474991.6857862.703103e-08
0.8506061.6857112.713012e-08
0.8537241.6856362.722957e-08
0.8568531.6855612.732939e-08
0.8599941.6854872.742957e-08
0.8631461.6854132.753012e-08
0.866311.6853392.763104e-08
0.8694861.6852652.773233e-08
0.8726731.6851922.783399e-08
0.8758721.6851182.793602e-08
0.8790821.6850452.803843e-08
0.8823051.6849732.814121e-08
0.8855391.68492.824437e-08
0.8887851.6848282.834790e-08
0.8920431.6847562.845182e-08
0.8953131.6846842.855612e-08
0.8985951.6846122.866080e-08
0.9018891.6845412.876586e-08
0.9051951.684472.887131e-08
0.9085131.6843992.897714e-08
0.9118431.6843282.908336e-08
0.9151861.6842572.918997e-08
0.918541.6841872.929698e-08
0.9219071.6841172.940437e-08
0.9252871.6840472.951216e-08
0.9286781.6839772.962034e-08
0.9320831.6839072.972892e-08
0.9354991.6838382.983790e-08
0.9389281.6837682.994728e-08
0.942371.6836993.005706e-08
0.9458241.683633.016724e-08
0.9492911.6835613.027782e-08
0.9527711.6834923.038881e-08
0.9562641.6834243.050021e-08
0.9597691.6833553.061202e-08
0.9632871.6832873.072423e-08
0.9668181.6832193.083686e-08
0.9703621.6831513.094990e-08
0.9739191.6830833.106335e-08
0.9774891.6830153.117722e-08
0.9810721.6829473.129151e-08
0.9846681.682883.140621e-08
0.9882781.6828123.152134e-08
0.9919011.6827453.163689e-08
0.9955361.6826783.175286e-08
0.9991861.682613.186926e-08
1.002851.6825433.198608e-08
1.006521.6824763.210333e-08
1.010211.6824093.222102e-08
1.013921.6823433.233913e-08
1.017631.6822763.245768e-08
1.021361.6822093.257666e-08
1.025111.6821433.269607e-08
1.028871.6820763.281593e-08
1.032641.682013.293622e-08
1.036421.6819433.305696e-08
1.040221.6818773.317813e-08
1.044031.6818113.329976e-08
1.047861.6817453.342182e-08
1.05171.6816783.354434e-08
1.055561.6816123.366730e-08
1.059431.6815463.379072e-08
1.061.6815363.380900e-08
1.063311.681483.391457e-08
1.067211.6814143.403888e-08
1.071121.6813483.416365e-08
1.075051.6812823.428887e-08
1.078991.6812163.441455e-08
1.082941.681153.454070e-08
1.086911.6810843.466730e-08
1.09091.6810183.479437e-08
1.094891.6809523.492190e-08
1.098911.6808863.504991e-08
1.102941.680823.517838e-08
1.106981.6807543.530732e-08
1.111041.6806883.543673e-08
1.115111.6806223.556662e-08
1.11921.6805563.569699e-08
1.12331.680493.582783e-08
1.127421.6804243.595916e-08
1.131551.6803583.609096e-08
1.13571.6802923.622325e-08
1.139861.6802263.635602e-08
1.144041.680163.648928e-08
1.148231.6800943.662303e-08
1.152441.6800273.675726e-08
1.156671.6799613.689199e-08
1.160911.6798953.702722e-08
1.165161.6798283.716294e-08
1.169431.6797623.729915e-08
1.173721.6796953.743587e-08
1.178021.6796293.757309e-08
1.182341.6795623.771081e-08
1.186671.6794953.784903e-08
1.191021.6794283.798776e-08
1.195391.6793613.812700e-08
1.199771.6792943.826675e-08
1.204171.6792273.840702e-08
1.208581.679163.854779e-08
1.213011.6790933.868909e-08
1.217461.6790253.883090e-08
1.221921.6789583.897323e-08
1.22641.678893.911608e-08
1.23091.6788223.925946e-08
1.235411.6787543.940336e-08
1.239941.6786863.954779e-08
1.244481.6786183.969275e-08
1.249041.678553.983824e-08
1.253621.6784823.998426e-08
1.258221.6784134.013082e-08
1.262831.6783444.027792e-08
1.267461.6782764.042555e-08
1.272111.6782074.057373e-08
1.276771.6781374.072245e-08
1.281451.6780684.087171e-08
1.286151.6779994.102153e-08
1.290861.6779294.117189e-08
1.295591.6778594.132280e-08
1.300341.6777894.147426e-08
1.305111.6777194.162628e-08
1.309891.6776494.177886e-08
1.314691.6775784.193200e-08
1.319511.6775084.208570e-08
1.324351.6774374.223996e-08
1.32921.6773664.239479e-08
1.334081.6772954.255018e-08
1.338971.6772234.270615e-08
1.343881.6771524.286268e-08
1.34881.677084.301979e-08
1.353751.6770084.317748e-08
1.358711.6769354.333574e-08
1.363691.6768634.349458e-08
1.368691.676794.365401e-08
1.37371.6767174.381402e-08
1.378741.6766444.397462e-08
1.383791.676574.413580e-08
1.388871.6764974.429758e-08
1.393961.6764234.445995e-08
1.399071.6763484.462292e-08
1.40421.6762744.478648e-08
1.409341.6761994.495064e-08
1.414511.6761244.511540e-08
1.419691.6760494.528077e-08
1.42491.6759734.544674e-08
1.430121.6758984.561333e-08
1.435361.6758224.578052e-08
1.440621.6757454.594833e-08
1.445911.6756694.611675e-08
1.451211.6755924.628578e-08
1.456521.6755144.645544e-08
1.461861.6754374.662572e-08
1.467221.6753594.679663e-08
1.47261.6752814.696816e-08
1.4781.6752024.714031e-08
1.483421.6751244.731310e-08
1.488851.6750444.748653e-08
1.494311.6749654.766059e-08
1.499791.6748854.783528e-08
1.51.6748824.784200e-08
1.505291.6748055.090785e-08
1.51081.6747255.410749e-08
1.516341.6746445.731886e-08
1.52191.6745636.054200e-08
1.527481.6744816.377696e-08
1.533081.6743996.702377e-08
1.53871.6743177.028249e-08
1.544341.6742357.355315e-08
1.551.6741527.683580e-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
—