Optical constants

Refractive index of K-LaK6 (SUMITA)

K-LaK6: 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
1.6425
Extinction coefficient k
1.73198e-08
Permittivity ε1
2.6978
Permittivity ε2
5.68953e-08
Absorption coefficient α
0.00370399 cm⁻¹
Penetration depth δ = λ/(2πk)
5.39958e+09 nm
Abbe number Vd
58.106
Chromatic dispersion dn/dλ
-0.0570436 µm⁻¹
Group index ng
1.67602
Group velocity dispersion
100.518 fs²/mm
Dispersion parameter D
-548.382 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-LaK6 (SUMITA): K-LaK6
sumita_k_lak6 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-LaK6", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_lak6.range_nm)  # (360, 1550) nm
eps = sumita_k_lak6.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=2.6532657−0.011570116⁢λ2.0+0.015955637⁢λ−2.0+0.00023811283⁢λ−4.0+1.7165459×10-5⁢λ−6.0−1.4129709×10-6⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C12.6532657
C2-0.011570116
C32.0
C40.015955637
C5-2.0
C60.00023811283
C7-4.0
C81.7165459e-05
C9-6.0
C10-1.4129709e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -2.11e-06 1.88e-08 -1.93e-10 4.01e-07 3.43e-10 0.195
nd
1.64250
Vd
58.1
glass code
643581
density
value: 3760
thermal expansion
value: 6.2e-06, temperature range: 243 343; value: 7.9e-06, temperature range: 293 573
dPgF
-0.0014
resistance
acid: 4.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -5.17e-07 K⁻¹ at 633 nm, dn/dT = -9.45e-07 K⁻¹ at 1310 nm, dn/dT = -9.76e-07 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-LaK6 (SUMITA), K-LaK6: n and k versus wavelength
λ (µm)nk
0.361.6709082.017500e-07
0.361321.6705671.922039e-07
0.3626441.6702281.826227e-07
0.3639731.6698911.730065e-07
0.3653081.6695581.633550e-07
0.3666471.6692271.536681e-07
0.3679911.6688981.439457e-07
0.369341.6685721.341877e-07
0.371.6684141.294100e-07
0.3706931.6682481.266073e-07
0.3720521.6679271.211151e-07
0.3734161.6676091.156028e-07
0.3747851.6672931.100702e-07
0.3761591.6669791.045174e-07
0.3775371.6666689.894419e-08
0.3789211.666369.335057e-08
0.381.6661228.899100e-08
0.380311.6660548.817497e-08
0.3817041.665758.450981e-08
0.3831041.6654498.083123e-08
0.3845081.665157.713915e-08
0.3859171.6648537.343355e-08
0.3873321.6645596.971436e-08
0.3887521.6642676.598154e-08
0.391.6640136.270000e-08
0.3901771.6639776.261366e-08
0.3916071.663696.191542e-08
0.3930431.6634056.121462e-08
0.3944831.6631226.051124e-08
0.3959291.6628415.980530e-08
0.3973811.6625635.909676e-08
0.3988371.6622875.838563e-08
0.41.6620695.781800e-08
0.4002991.6620135.760724e-08
0.4017671.6617415.657393e-08
0.4032391.6614725.553684e-08
0.4047171.6612045.449595e-08
0.4062011.6609395.345124e-08
0.407691.6606765.240271e-08
0.4091841.6604155.135033e-08
0.4106841.6601565.029409e-08
0.412191.6598994.923398e-08
0.4137011.6596444.816998e-08
0.4152171.6593914.710209e-08
0.4167391.659144.603027e-08
0.4182671.6588924.495454e-08
0.41981.6586454.387485e-08
0.421.6586134.373400e-08
0.4213391.65844.387344e-08
0.4228831.6581574.403429e-08
0.4244331.6579164.419574e-08
0.4259891.6576774.435778e-08
0.4275511.657444.452041e-08
0.4291181.6572044.468364e-08
0.4306911.6569714.484746e-08
0.432271.6567394.501189e-08
0.4338541.6565094.517692e-08
0.4354451.6562824.534255e-08
0.4370411.6560554.550879e-08
0.4386431.6558314.567564e-08
0.441.6556434.581700e-08
0.4402511.6556094.570387e-08
0.4418641.6553884.497548e-08
0.4434841.6551694.424443e-08
0.445111.6549514.351070e-08
0.4467411.6547364.277427e-08
0.4483791.6545224.203515e-08
0.4500231.654314.129332e-08
0.4516721.6540994.054877e-08
0.4533281.653893.980149e-08
0.454991.6536833.905147e-08
0.4566571.6534773.829870e-08
0.4583311.6532733.754317e-08
0.461.6530723.679000e-08
0.4600111.6530713.678216e-08
0.4616981.652873.561841e-08
0.463391.6526713.445040e-08
0.4650891.6524733.327810e-08
0.4667931.6522773.210151e-08
0.4685051.6520823.092061e-08
0.4702221.6518892.973537e-08
0.4719461.6516972.854579e-08
0.4736751.6515072.735185e-08
0.4754121.6513182.615354e-08
0.4771541.6511312.495083e-08
0.4789041.6509452.374371e-08
0.481.650832.298700e-08
0.4806591.6507612.301857e-08
0.4824211.6505782.310296e-08
0.4841891.6503972.318767e-08
0.4859641.6502162.327268e-08
0.4877461.6500382.335801e-08
0.4895331.649862.344365e-08
0.4913281.6496842.352960e-08
0.4931291.649512.361587e-08
0.4949361.6493362.370246e-08
0.4967511.6491642.378936e-08
0.4985721.6489942.387658e-08
0.51.6488612.394500e-08
0.5003991.6488242.396412e-08
0.5022331.6486562.405198e-08
0.5040741.6484892.414017e-08
0.5059221.6483232.422867e-08
0.5077771.6481592.431750e-08
0.5096381.6479962.440666e-08
0.5115061.6478342.449615e-08
0.5133811.6476732.458596e-08
0.5152631.6475142.467610e-08
0.5171521.6473562.476657e-08
0.5190471.6471992.485737e-08
0.520951.6470432.494851e-08
0.522861.6468882.503998e-08
0.5247761.6467342.513178e-08
0.52671.6465822.522393e-08
0.5286311.646432.531641e-08
0.5305681.646282.540922e-08
0.5325131.6461312.550238e-08
0.5344651.6459832.559588e-08
0.5364241.6458362.568973e-08
0.5383911.645692.578391e-08
0.5403641.6455452.587844e-08
0.5423451.6454012.597332e-08
0.5443331.6452592.606855e-08
0.5463281.6451172.616413e-08
0.5483311.6449762.626005e-08
0.551.644862.634000e-08
0.5503411.6448372.625822e-08
0.5523581.6446982.577426e-08
0.5543831.644562.528852e-08
0.5564151.6444242.480101e-08
0.5584551.6442882.431171e-08
0.5605021.6441532.382062e-08
0.5625561.6440192.332772e-08
0.5646191.6438872.283302e-08
0.5666881.6437552.233651e-08
0.5687651.6436242.183817e-08
0.570851.6434942.133801e-08
0.5729431.6433652.083601e-08
0.5750431.6432362.033218e-08
0.5771511.6431091.982650e-08
0.5792671.6429831.931896e-08
0.581391.6428571.880957e-08
0.5835211.6427321.829830e-08
0.585661.6426081.778516e-08
0.5878071.6424861.727015e-08
0.5899611.6423631.675324e-08
0.5921241.6422421.623444e-08
0.5942951.6421221.571374e-08
0.5964731.6420021.519113e-08
0.5986591.6418831.466660e-08
0.61.6418111.434500e-08
0.6008541.6417651.436543e-08
0.6030561.6416481.441811e-08
0.6052671.6415311.447099e-08
0.6074861.6414161.452406e-08
0.6097121.6413011.457732e-08
0.6119471.6411871.463078e-08
0.6141911.6410731.468444e-08
0.6164421.6409611.473829e-08
0.6187021.6408491.479234e-08
0.620971.6407371.484659e-08
0.6232461.6406271.490104e-08
0.625531.6405171.495569e-08
0.6278231.6404081.501053e-08
0.6301251.64031.506558e-08
0.6324341.6401921.512083e-08
0.6347531.6400861.517629e-08
0.6370791.6399791.523194e-08
0.6394151.6398741.528780e-08
0.6417591.6397691.534387e-08
0.6441111.6396651.540014e-08
0.6464721.6395611.545661e-08
0.6488421.6394581.551330e-08
0.651.6394081.554100e-08
0.651221.6393561.543389e-08
0.6536071.6392541.522435e-08
0.6560031.6391531.501404e-08
0.6584081.6390531.480296e-08
0.6608211.6389531.459110e-08
0.6632441.6388541.437847e-08
0.6656751.6387551.416506e-08
0.6681151.6386571.395087e-08
0.6705641.638561.373589e-08
0.6730221.6384631.352012e-08
0.6754891.6383671.330357e-08
0.6779651.6382711.308622e-08
0.680451.6381761.286807e-08
0.6829451.6380821.264912e-08
0.6854481.6379881.242937e-08
0.6879611.6378951.220882e-08
0.6904821.6378021.198745e-08
0.6930131.6377091.176528e-08
0.6955541.6376181.154229e-08
0.6981031.6375261.131848e-08
0.71.6374591.115200e-08
0.7006621.6374361.116255e-08
0.7032311.6373451.120347e-08
0.7058091.6372561.124453e-08
0.7083961.6371661.128574e-08
0.7109921.6370781.132711e-08
0.7135991.6369891.136863e-08
0.7162141.6369021.141030e-08
0.718841.6368141.145212e-08
0.7214751.6367281.149409e-08
0.7241191.6366411.153622e-08
0.7267741.6365551.157851e-08
0.7294381.636471.162095e-08
0.7321121.6363851.166354e-08
0.7347951.6363011.170629e-08
0.7374891.6362171.174920e-08
0.7401921.6361331.179226e-08
0.7429051.636051.183548e-08
0.7456291.6359671.187886e-08
0.7483621.6358851.192240e-08
0.7511051.6358031.196610e-08
0.7538581.6357211.200996e-08
0.7566221.635641.205398e-08
0.7593951.6355591.209816e-08
0.7621791.6354791.214251e-08
0.7649731.6353991.218701e-08
0.7677771.635321.223168e-08
0.7705911.635241.227652e-08
0.7734161.6351621.232151e-08
0.7762511.6350831.236668e-08
0.7790961.6350051.241200e-08
0.7819521.6349271.245750e-08
0.7848181.634851.250316e-08
0.7876951.6347731.254899e-08
0.7905831.6346971.259498e-08
0.7934811.634621.264115e-08
0.7963891.6345441.268748e-08
0.7993091.6344691.273398e-08
0.81.6344511.274500e-08
0.8022381.6343931.278066e-08
0.8051791.6343191.282751e-08
0.8081311.6342441.287453e-08
0.8110931.634171.292172e-08
0.8140661.6340961.296908e-08
0.817051.6340221.301662e-08
0.8200451.6339491.306433e-08
0.8230511.6338751.311222e-08
0.8260681.6338031.316028e-08
0.8290961.633731.320852e-08
0.8321351.6336581.325694e-08
0.8351861.6335861.330553e-08
0.8382471.6335141.335431e-08
0.841321.6334431.340326e-08
0.8444041.6333721.345239e-08
0.8474991.6333011.350169e-08
0.8506061.6332311.355119e-08
0.8537241.633161.360086e-08
0.8568531.633091.365071e-08
0.8599941.633021.370075e-08
0.8631461.6329511.375097e-08
0.866311.6328811.380137e-08
0.8694861.6328121.385196e-08
0.8726731.6327431.390274e-08
0.8758721.6326751.395370e-08
0.8790821.6326061.400484e-08
0.8823051.6325381.405618e-08
0.8855391.632471.410770e-08
0.8887851.6324021.415941e-08
0.8920431.6323351.421132e-08
0.8953131.6322671.426341e-08
0.8985951.63221.431569e-08
0.9018891.6321331.436817e-08
0.9051951.6320661.442083e-08
0.9085131.6321.447369e-08
0.9118431.6319331.452675e-08
0.9151861.6318671.457999e-08
0.918541.6318011.463344e-08
0.9219071.6317351.468708e-08
0.9252871.631671.474091e-08
0.9286781.6316041.479494e-08
0.9320831.6315391.484918e-08
0.9354991.6314741.490361e-08
0.9389281.6314081.495824e-08
0.942371.6313441.501307e-08
0.9458241.6312791.506810e-08
0.9492911.6312141.512333e-08
0.9527711.631151.517876e-08
0.9562641.6310851.523440e-08
0.9597691.6310211.529024e-08
0.9632871.6309571.534629e-08
0.9668181.6308931.540254e-08
0.9703621.6308291.545900e-08
0.9739191.6307651.551567e-08
0.9774891.6307021.557254e-08
0.9810721.6306381.562962e-08
0.9846681.6305751.568691e-08
0.9882781.6305121.574441e-08
0.9919011.6304481.580212e-08
0.9955361.6303851.586005e-08
0.9991861.6303221.591818e-08
1.002851.6302591.597653e-08
1.006521.6301971.603509e-08
1.010211.6301341.609387e-08
1.013921.6300711.615286e-08
1.017631.6300081.621207e-08
1.021361.6299461.627150e-08
1.025111.6298831.633114e-08
1.028871.6298211.639100e-08
1.032641.6297591.645108e-08
1.036421.6296961.651139e-08
1.040221.6296341.657191e-08
1.044031.6295721.663265e-08
1.047861.629511.669362e-08
1.05171.6294481.675481e-08
1.055561.6293861.681623e-08
1.059431.6293241.687787e-08
1.061.6293151.688700e-08
1.063311.6292621.702977e-08
1.067211.62921.719788e-08
1.071121.6291381.736660e-08
1.075051.6290761.753594e-08
1.078991.6290141.770590e-08
1.082941.6289521.787648e-08
1.086911.628891.804769e-08
1.09091.6288281.821953e-08
1.094891.6287661.839199e-08
1.098911.6287051.856509e-08
1.102941.6286431.873883e-08
1.106981.6285811.891320e-08
1.111041.6285191.908821e-08
1.115111.6284571.926386e-08
1.11921.6283951.944015e-08
1.12331.6283331.961709e-08
1.127421.6282711.979468e-08
1.131551.6282091.997292e-08
1.13571.6281472.015182e-08
1.139861.6280852.033137e-08
1.144041.6280232.051157e-08
1.148231.6279612.069244e-08
1.152441.6278992.087397e-08
1.156671.6278372.105617e-08
1.160911.6277742.123903e-08
1.165161.6277122.142257e-08
1.169431.627652.160678e-08
1.173721.6275872.179166e-08
1.178021.6275252.197722e-08
1.182341.6274622.216346e-08
1.186671.62742.235039e-08
1.191021.6273372.253799e-08
1.195391.6272742.272629e-08
1.199771.6272112.291528e-08
1.204171.6271482.310496e-08
1.208581.6270852.329533e-08
1.213011.6270222.348640e-08
1.217461.6269592.367818e-08
1.221921.6268952.387065e-08
1.22641.6268322.406383e-08
1.23091.6267682.425772e-08
1.235411.6267052.445232e-08
1.239941.6266412.464764e-08
1.244481.6265772.484367e-08
1.249041.6265132.504042e-08
1.253621.6264492.523788e-08
1.258221.6263852.543608e-08
1.262831.626322.563500e-08
1.267461.6262562.583465e-08
1.272111.6261912.603503e-08
1.276771.6261262.623614e-08
1.281451.6260612.643799e-08
1.286151.6259962.664059e-08
1.290861.6259312.684392e-08
1.295591.6258652.704800e-08
1.300341.62582.725283e-08
1.305111.6257342.745841e-08
1.309891.6256682.766474e-08
1.314691.6256022.787183e-08
1.319511.6255362.807968e-08
1.324351.6254692.828829e-08
1.32921.6254032.849767e-08
1.334081.6253362.870781e-08
1.338971.6252692.891872e-08
1.343881.6252022.913041e-08
1.34881.6251342.934287e-08
1.353751.6250672.955611e-08
1.358711.6249992.977013e-08
1.363691.6249312.998494e-08
1.368691.6248633.020053e-08
1.37371.6247943.041692e-08
1.378741.6247263.063409e-08
1.383791.6246573.085207e-08
1.388871.6245883.107084e-08
1.393961.6245183.129041e-08
1.399071.6244493.151079e-08
1.40421.6243793.173198e-08
1.409341.6243093.195398e-08
1.414511.6242393.217679e-08
1.419691.6241683.240042e-08
1.42491.6240983.262487e-08
1.430121.6240273.285014e-08
1.435361.6239553.307623e-08
1.440621.6238843.330316e-08
1.445911.6238123.353092e-08
1.451211.623743.375951e-08
1.456521.6236673.398894e-08
1.461861.6235953.421921e-08
1.467221.6235223.445033e-08
1.47261.6234493.468229e-08
1.4781.6233753.491510e-08
1.483421.6233013.514877e-08
1.488851.6232273.538329e-08
1.494311.6231533.561867e-08
1.499791.6230783.585492e-08
1.51.6230753.586400e-08
1.505291.6230034.061080e-08
1.51081.6229284.556475e-08
1.516341.6228525.053686e-08
1.52191.6227765.552719e-08
1.527481.62276.053582e-08
1.533081.6226236.556281e-08
1.53871.6225467.060822e-08
1.544341.6224697.567213e-08
1.551.6223918.075460e-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
—