Optical constants

Refractive index of K-LaK7 (SUMITA)

K-LaK7: 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
1.6516
Extinction coefficient k
2.81403e-08
Permittivity ε1
2.72777
Permittivity ε2
9.29528e-08
Absorption coefficient α
0.00601806 cm⁻¹
Penetration depth δ = λ/(2πk)
3.32333e+09 nm
Abbe number Vd
58.268
Chromatic dispersion dn/dλ
-0.0577368 µm⁻¹
Group index ng
1.68552
Group velocity dispersion
101.754 fs²/mm
Dispersion parameter D
-555.12 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-LaK7 (SUMITA): K-LaK7
sumita_k_lak7 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-LaK7", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_lak7.range_nm)  # (360, 1550) nm
eps = sumita_k_lak7.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=2.6835737−0.012086498⁢λ2.0+0.015193489⁢λ−2.0+0.00064847987⁢λ−4.0−5.2423893×10-5⁢λ−6.0+2.8301452×10-6⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C12.6835737
C2-0.012086498
C32.0
C40.015193489
C5-2.0
C60.00064847987
C7-4.0
C8-5.2423893e-05
C9-6.0
C102.8301452e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -2.13e-06 1.62e-08 -5.04e-11 3.71e-07 6.15e-10 0.214
nd
1.65160
Vd
58.3
glass code
652583
density
value: 3760
thermal expansion
value: 6.8e-06, temperature range: 243 343; value: 8.4e-06, temperature range: 293 573
dPgF
-0.0021
resistance
acid: 5.0; climatic: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -5.66e-07 K⁻¹ at 633 nm, dn/dT = -9.76e-07 K⁻¹ at 1310 nm, dn/dT = -1.00e-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-LaK7 (SUMITA), K-LaK7: n and k versus wavelength
λ (µm)nk
0.361.6804163.306300e-07
0.361321.6800613.135290e-07
0.3626441.6797092.963654e-07
0.3639731.679362.791388e-07
0.3653081.6790152.618491e-07
0.3666471.6786732.444960e-07
0.3679911.6783332.270793e-07
0.369341.6779972.095987e-07
0.371.6778342.010400e-07
0.3706931.6776641.963158e-07
0.3720521.6773341.870582e-07
0.3734161.6770071.777666e-07
0.3747851.6766831.684410e-07
0.3761591.6763611.590811e-07
0.3775371.6760431.496870e-07
0.3789211.6757271.402585e-07
0.381.6754831.329100e-07
0.380311.6754141.316195e-07
0.3817041.6751041.258234e-07
0.3831041.6747961.200060e-07
0.3845081.6744911.141673e-07
0.3859171.6741891.083072e-07
0.3873321.6738891.024256e-07
0.3887521.6735929.652247e-08
0.391.6733349.133300e-08
0.3901771.6732989.097004e-08
0.3916071.6730068.803476e-08
0.3930431.6727168.508873e-08
0.3944831.6724298.213189e-08
0.3959291.6721457.916421e-08
0.3973811.6718637.618566e-08
0.3988371.6715837.319619e-08
0.41.6713627.081000e-08
0.4002991.6713057.050628e-08
0.4017671.671036.901722e-08
0.4032391.6707576.752270e-08
0.4047171.6704876.602270e-08
0.4062011.6702186.451721e-08
0.407691.6699526.300620e-08
0.4091841.6696886.148964e-08
0.4106841.6694275.996753e-08
0.412191.6691675.843984e-08
0.4137011.668915.690655e-08
0.4152171.6686545.536764e-08
0.4167391.6684015.382309e-08
0.4182671.668155.227287e-08
0.41981.6679015.071698e-08
0.421.6678685.051400e-08
0.4213391.6676544.996221e-08
0.4228831.6674084.932566e-08
0.4244331.6671654.868677e-08
0.4259891.6669244.804555e-08
0.4275511.6666854.740197e-08
0.4291181.6664484.675603e-08
0.4306911.6662124.610773e-08
0.432271.6659794.545705e-08
0.4338541.6657474.480398e-08
0.4354451.6655174.414852e-08
0.4370411.6652894.349066e-08
0.4386431.6650634.283039e-08
0.441.6648744.227100e-08
0.4402511.6648394.220231e-08
0.4418641.6646164.176005e-08
0.4434841.6643954.131617e-08
0.445111.6641764.087066e-08
0.4467411.6639594.042352e-08
0.4483791.6637433.997474e-08
0.4500231.6635293.952432e-08
0.4516721.6633173.907224e-08
0.4533281.6631073.861851e-08
0.454991.6628983.816311e-08
0.4566571.662693.770605e-08
0.4583311.6624853.724731e-08
0.461.6622823.679000e-08
0.4600111.662283.678653e-08
0.4616981.6620783.627147e-08
0.463391.6618773.575453e-08
0.4650891.6616783.523569e-08
0.4667931.661483.471495e-08
0.4685051.6612833.419229e-08
0.4702221.6610893.366773e-08
0.4719461.6608953.314124e-08
0.4736751.6607033.261282e-08
0.4754121.6605133.208246e-08
0.4771541.6603243.155016e-08
0.4789041.6601373.101591e-08
0.481.660023.068100e-08
0.4806591.6599513.045904e-08
0.4824211.6597662.986563e-08
0.4841891.6595832.927004e-08
0.4859641.6594012.867227e-08
0.4877461.6592212.807231e-08
0.4895331.6590412.747015e-08
0.4913281.6588642.686578e-08
0.4931291.6586872.625920e-08
0.4949361.6585122.565039e-08
0.4967511.6583392.503935e-08
0.4985721.6581662.442608e-08
0.51.6580322.394500e-08
0.5003991.6579952.396412e-08
0.5022331.6578252.405198e-08
0.5040741.6576572.414017e-08
0.5059221.6574892.422867e-08
0.5077771.6573232.431750e-08
0.5096381.6571582.440666e-08
0.5115061.6569952.449615e-08
0.5133811.6568322.458596e-08
0.5152631.6566712.467610e-08
0.5171521.6565112.476657e-08
0.5190471.6563522.485737e-08
0.520951.6561952.494851e-08
0.522861.6560382.503998e-08
0.5247761.6558832.513178e-08
0.52671.6557292.522393e-08
0.5286311.6555762.531641e-08
0.5305681.6554242.540922e-08
0.5325131.6552732.550238e-08
0.5344651.6551232.559588e-08
0.5364241.6549752.568973e-08
0.5383911.6548272.578391e-08
0.5403641.6546812.587844e-08
0.5423451.6545352.597332e-08
0.5443331.6543912.606855e-08
0.5463281.6542472.616413e-08
0.5483311.6541052.626005e-08
0.551.6539882.634000e-08
0.5503411.6539642.635632e-08
0.5523581.6538232.645291e-08
0.5543831.6536842.654986e-08
0.5564151.6535462.664716e-08
0.5584551.6534082.674481e-08
0.5605021.6532722.684283e-08
0.5625561.6531372.694120e-08
0.5646191.6530022.703993e-08
0.5666881.6528692.713903e-08
0.5687651.6527362.723849e-08
0.570851.6526052.733831e-08
0.5729431.6524742.743850e-08
0.5750431.6523442.753906e-08
0.5771511.6522152.763999e-08
0.5792671.6520872.774128e-08
0.581391.651962.784295e-08
0.5835211.6518342.794499e-08
0.585661.6517092.804740e-08
0.5878071.6515842.815019e-08
0.5899611.6514612.825336e-08
0.5921241.6513382.835690e-08
0.5942951.6512162.846082e-08
0.5964731.6510952.856513e-08
0.5986591.6509742.866981e-08
0.61.6509012.873400e-08
0.6008541.6508552.877490e-08
0.6030561.6507362.888040e-08
0.6052671.6506182.898629e-08
0.6074861.6505012.909256e-08
0.6097121.6503852.919923e-08
0.6119471.650272.930628e-08
0.6141911.6501552.941373e-08
0.6164421.6500412.952157e-08
0.6187021.6499282.962981e-08
0.620971.6498152.973844e-08
0.6232461.6497032.984747e-08
0.625531.6495922.995690e-08
0.6278231.6494823.006674e-08
0.6301251.6493723.017697e-08
0.6324341.6492643.028761e-08
0.6347531.6491553.039866e-08
0.6370791.6490483.051011e-08
0.6394151.6489413.062197e-08
0.6417591.6488353.073424e-08
0.6441111.648733.084692e-08
0.6464721.6486253.096001e-08
0.6488421.6485213.107352e-08
0.651.648473.112900e-08
0.651221.6484173.077774e-08
0.6536071.6483153.009058e-08
0.6560031.6482132.940091e-08
0.6584081.6481112.870871e-08
0.6608211.648012.801396e-08
0.6632441.647912.731668e-08
0.6656751.647812.661683e-08
0.6681151.6477112.591442e-08
0.6705641.6476132.520944e-08
0.6730221.6475152.450187e-08
0.6754891.6474182.379171e-08
0.6779651.6473212.307894e-08
0.680451.6472252.236356e-08
0.6829451.647132.164556e-08
0.6854481.6470352.092493e-08
0.6879611.646942.020166e-08
0.6904821.6468461.947573e-08
0.6930131.6467531.874715e-08
0.6955541.646661.801589e-08
0.6981031.6465681.728195e-08
0.71.64651.673600e-08
0.7006621.6464771.670956e-08
0.7032311.6463851.660706e-08
0.7058091.6462951.650418e-08
0.7083961.6462051.640093e-08
0.7109921.6461151.629729e-08
0.7135991.6460261.619328e-08
0.7162141.6459371.608888e-08
0.718841.6458491.598410e-08
0.7214751.6457621.587894e-08
0.7241191.6456741.577339e-08
0.7267741.6455881.566746e-08
0.7294381.6455021.556113e-08
0.7321121.6454161.545442e-08
0.7347951.6453311.534732e-08
0.7374891.6452461.523982e-08
0.7401921.6451611.513193e-08
0.7429051.6450771.502364e-08
0.7456291.6449941.491496e-08
0.7483621.6449111.480588e-08
0.7511051.6448281.469640e-08
0.7538581.6447461.458652e-08
0.7566221.6446641.447623e-08
0.7593951.6445831.436554e-08
0.7621791.6445021.425445e-08
0.7649731.6444211.414294e-08
0.7677771.6443411.403103e-08
0.7705911.6442611.391871e-08
0.7734161.6441821.380598e-08
0.7762511.6441031.369283e-08
0.7790961.6440241.357927e-08
0.7819521.6439461.346529e-08
0.7848181.6438681.335089e-08
0.7876951.643791.323608e-08
0.7905831.6437131.312084e-08
0.7934811.6436361.300519e-08
0.7963891.6435591.288910e-08
0.7993091.6434831.277260e-08
0.81.6434651.274500e-08
0.8022381.6434071.278066e-08
0.8051791.6433321.282751e-08
0.8081311.6432571.287453e-08
0.8110931.6431821.292172e-08
0.8140661.6431071.296908e-08
0.817051.6430331.301662e-08
0.8200451.6429591.306433e-08
0.8230511.6428861.311222e-08
0.8260681.6428121.316028e-08
0.8290961.6427391.320852e-08
0.8321351.6426661.325694e-08
0.8351861.6425941.330553e-08
0.8382471.6425221.335431e-08
0.841321.642451.340326e-08
0.8444041.6423781.345239e-08
0.8474991.6423071.350169e-08
0.8506061.6422361.355119e-08
0.8537241.6421651.360086e-08
0.8568531.6420941.365071e-08
0.8599941.6420241.370075e-08
0.8631461.6419541.375097e-08
0.866311.6418841.380137e-08
0.8694861.6418151.385196e-08
0.8726731.6417451.390274e-08
0.8758721.6416761.395370e-08
0.8790821.6416071.400484e-08
0.8823051.6415391.405618e-08
0.8855391.641471.410770e-08
0.8887851.6414021.415941e-08
0.8920431.6413341.421132e-08
0.8953131.6412661.426341e-08
0.8985951.6411981.431569e-08
0.9018891.6411311.436817e-08
0.9051951.6410641.442083e-08
0.9085131.6409971.447369e-08
0.9118431.640931.452675e-08
0.9151861.6408631.457999e-08
0.918541.6407971.463344e-08
0.9219071.640731.468708e-08
0.9252871.6406641.474091e-08
0.9286781.6405981.479494e-08
0.9320831.6405321.484918e-08
0.9354991.6404661.490361e-08
0.9389281.6404011.495824e-08
0.942371.6403361.501307e-08
0.9458241.640271.506810e-08
0.9492911.6402051.512333e-08
0.9527711.640141.517876e-08
0.9562641.6400751.523440e-08
0.9597691.6400111.529024e-08
0.9632871.6399461.534629e-08
0.9668181.6398821.540254e-08
0.9703621.6398171.545900e-08
0.9739191.6397531.551567e-08
0.9774891.6396891.557254e-08
0.9810721.6396251.562962e-08
0.9846681.6395611.568691e-08
0.9882781.6394971.574441e-08
0.9919011.6394341.580212e-08
0.9955361.639371.586005e-08
0.9991861.6393071.591818e-08
1.002851.6392431.597653e-08
1.006521.639181.603509e-08
1.010211.6391161.609387e-08
1.013921.6390531.615286e-08
1.017631.638991.621207e-08
1.021361.6389271.627150e-08
1.025111.6388641.633114e-08
1.028871.6388011.639100e-08
1.032641.6387381.645108e-08
1.036421.6386751.651139e-08
1.040221.6386131.657191e-08
1.044031.638551.663265e-08
1.047861.6384871.669362e-08
1.05171.6384241.675481e-08
1.055561.6383621.681623e-08
1.059431.6382991.687787e-08
1.061.638291.688700e-08
1.063311.6382371.702977e-08
1.067211.6381741.719788e-08
1.071121.6381121.736660e-08
1.075051.6380491.753594e-08
1.078991.6379861.770590e-08
1.082941.6379241.787648e-08
1.086911.6378611.804769e-08
1.09091.6377991.821953e-08
1.094891.6377361.839199e-08
1.098911.6376741.856509e-08
1.102941.6376111.873883e-08
1.106981.6375491.891320e-08
1.111041.6374861.908821e-08
1.115111.6374241.926386e-08
1.11921.6373611.944015e-08
1.12331.6372981.961709e-08
1.127421.6372361.979468e-08
1.131551.6371731.997292e-08
1.13571.637112.015182e-08
1.139861.6370482.033137e-08
1.144041.6369852.051157e-08
1.148231.6369222.069244e-08
1.152441.6368592.087397e-08
1.156671.6367962.105617e-08
1.160911.6367332.123903e-08
1.165161.636672.142257e-08
1.169431.6366072.160678e-08
1.173721.6365432.179166e-08
1.178021.636482.197722e-08
1.182341.6364172.216346e-08
1.186671.6363532.235039e-08
1.191021.636292.253799e-08
1.195391.6362262.272629e-08
1.199771.6361622.291528e-08
1.204171.6360982.310496e-08
1.208581.6360342.329533e-08
1.213011.635972.348640e-08
1.217461.6359062.367818e-08
1.221921.6358422.387065e-08
1.22641.6357782.406383e-08
1.23091.6357132.425772e-08
1.235411.6356482.445232e-08
1.239941.6355842.464764e-08
1.244481.6355192.484367e-08
1.249041.6354542.504042e-08
1.253621.6353892.523788e-08
1.258221.6353232.543608e-08
1.262831.6352582.563500e-08
1.267461.6351922.583465e-08
1.272111.6351272.603503e-08
1.276771.6350612.623614e-08
1.281451.6349952.643799e-08
1.286151.6349292.664059e-08
1.290861.6348622.684392e-08
1.295591.6347962.704800e-08
1.300341.6347292.725283e-08
1.305111.6346622.745841e-08
1.309891.6345952.766474e-08
1.314691.6345282.787183e-08
1.319511.634462.807968e-08
1.324351.6343932.828829e-08
1.32921.6343252.849767e-08
1.334081.6342572.870781e-08
1.338971.6341892.891872e-08
1.343881.634122.913041e-08
1.34881.6340512.934287e-08
1.353751.6339832.955611e-08
1.358711.6339132.977013e-08
1.363691.6338442.998494e-08
1.368691.6337753.020053e-08
1.37371.6337053.041692e-08
1.378741.6336353.063409e-08
1.383791.6335653.085207e-08
1.388871.6334943.107084e-08
1.393961.6334233.129041e-08
1.399071.6333523.151079e-08
1.40421.6332813.173198e-08
1.409341.633213.195398e-08
1.414511.6331383.217679e-08
1.419691.6330663.240042e-08
1.42491.6329943.262487e-08
1.430121.6329213.285014e-08
1.435361.6328483.307623e-08
1.440621.6327753.330316e-08
1.445911.6327023.353092e-08
1.451211.6326283.375951e-08
1.456521.6325543.398894e-08
1.461861.632483.421921e-08
1.467221.6324053.445033e-08
1.47261.632333.468229e-08
1.4781.6322553.491510e-08
1.483421.632183.514877e-08
1.488851.6321043.538329e-08
1.494311.6320283.561867e-08
1.499791.6319513.585492e-08
1.51.6319483.586400e-08
1.505291.6318744.043739e-08
1.51081.6317974.521035e-08
1.516341.631725.000081e-08
1.52191.6316425.480883e-08
1.527481.6315645.963448e-08
1.533081.6314856.447781e-08
1.53871.6314066.933890e-08
1.544341.6313277.421781e-08
1.551.6312487.911460e-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
—