Optical constants

Refractive index of K-LaK8 (SUMITA)

K-LaK8: 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
1.713
Extinction coefficient k
4.91903e-08
Permittivity ε1
2.93437
Permittivity ε2
1.68526e-07
Absorption coefficient α
0.0105198 cm⁻¹
Penetration depth δ = λ/(2πk)
1.90118e+09 nm
Abbe number Vd
53.903
Chromatic dispersion dn/dλ
-0.0682284 µm⁻¹
Group index ng
1.75309
Group velocity dispersion
120.152 fs²/mm
Dispersion parameter D
-655.491 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-LaK8 (SUMITA): K-LaK8
sumita_k_lak8 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-LaK8", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_lak8.range_nm)  # (360, 1550) nm
eps = sumita_k_lak8.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=2.8797142−0.015009518⁢λ2.0+0.01933782⁢λ−2.0+0.00048379963⁢λ−4.0−1.1367908×10-5⁢λ−6.0+7.0484275×10-7⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C12.8797142
C2-0.015009518
C32.0
C40.01933782
C5-2.0
C60.00048379963
C7-4.0
C8-1.1367908e-05
C9-6.0
C107.0484275e-07
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 9.91e-07 1.3e-08 -2.26e-10 5.21e-07 4.99e-10 0.162
nd
1.71300
Vd
53.9
glass code
713539
density
value: 3790
thermal expansion
value: 4.9e-06, temperature range: 243 343; value: 7.5e-06, temperature range: 293 573
dPgF
-0.0065
resistance
acid: 4.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.34e-06 K⁻¹ at 633 nm, dn/dT = 7.16e-07 K⁻¹ at 1310 nm, dn/dT = 6.64e-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-LaK8 (SUMITA), K-LaK8: n and k versus wavelength
λ (µm)nk
0.361.7473018.510100e-07
0.361321.7468788.087729e-07
0.3626441.7464587.663809e-07
0.3639731.7460427.238336e-07
0.3653081.745636.811303e-07
0.3666471.7452216.382705e-07
0.3679911.7448165.952535e-07
0.369341.7444155.520789e-07
0.371.744225.309400e-07
0.3706931.7440175.176189e-07
0.3720521.7436234.915146e-07
0.3734161.7432324.653147e-07
0.3747851.7428444.390187e-07
0.3761591.742464.126263e-07
0.3775371.742083.861371e-07
0.3789211.7417023.595509e-07
0.381.7414113.388300e-07
0.380311.7413283.354074e-07
0.3817041.7409573.200350e-07
0.3831041.7405893.046062e-07
0.3845081.7402252.891209e-07
0.3859171.7398632.735788e-07
0.3873321.7395052.579797e-07
0.3887521.739152.423235e-07
0.391.7388412.285600e-07
0.3901771.7387982.275240e-07
0.3916071.7384492.191456e-07
0.3930431.7381022.107366e-07
0.3944831.7377592.022967e-07
0.3959291.7374191.938259e-07
0.3973811.7370821.853241e-07
0.3988371.7367471.767910e-07
0.41.7364831.699800e-07
0.4002991.7364151.691147e-07
0.4017671.7360861.648727e-07
0.4032391.735761.606150e-07
0.4047171.7354371.563418e-07
0.4062011.7351161.520529e-07
0.407691.7347981.477482e-07
0.4091841.7344831.434278e-07
0.4106841.734171.390916e-07
0.412191.733861.347394e-07
0.4137011.7335531.303713e-07
0.4152171.7332481.259872e-07
0.4167391.7329451.215871e-07
0.4182671.7326451.171707e-07
0.41981.7323481.127383e-07
0.421.7323091.121600e-07
0.4213391.7320531.108266e-07
0.4228831.7317611.092884e-07
0.4244331.731471.077446e-07
0.4259891.7311831.061950e-07
0.4275511.7308971.046399e-07
0.4291181.7306141.030790e-07
0.4306911.7303341.015124e-07
0.432271.7300559.994001e-08
0.4338541.7297799.836189e-08
0.4354451.7295059.677799e-08
0.4370411.7292349.518828e-08
0.4386431.7289649.359275e-08
0.441.7287389.224100e-08
0.4402511.7286979.215246e-08
0.4418641.7284329.158239e-08
0.4434841.7281699.101022e-08
0.445111.7279089.043597e-08
0.4467411.7276498.985960e-08
0.4483791.7273938.928113e-08
0.4500231.7271388.870053e-08
0.4516721.7268868.811781e-08
0.4533281.7266358.753295e-08
0.454991.7263878.694594e-08
0.4566571.726148.635679e-08
0.4583311.7258968.576547e-08
0.461.7256558.517600e-08
0.4600111.7256538.516703e-08
0.4616981.7254128.383533e-08
0.463391.7251738.249876e-08
0.4650891.7249378.115728e-08
0.4667931.7247017.981089e-08
0.4685051.7244687.845956e-08
0.4702221.7242377.710327e-08
0.4719461.7240077.574202e-08
0.4736751.723787.437577e-08
0.4754121.7235547.300452e-08
0.4771541.723337.162824e-08
0.4789041.7231077.024692e-08
0.481.7229696.938100e-08
0.4806591.7228866.907633e-08
0.4824211.7226676.826180e-08
0.4841891.722456.744428e-08
0.4859641.7222346.662377e-08
0.4877461.7220216.580025e-08
0.4895331.7218086.497371e-08
0.4913281.7215986.414414e-08
0.4931291.7213896.331153e-08
0.4949361.7211816.247586e-08
0.4967511.7209756.163714e-08
0.4985721.7207716.079534e-08
0.51.7206126.013500e-08
0.5003991.7205686.007675e-08
0.5022331.7203675.980909e-08
0.5040741.7201675.954045e-08
0.5059221.7199695.927083e-08
0.5077771.7197735.900022e-08
0.5096381.7195775.872862e-08
0.5115061.7193845.845602e-08
0.5133811.7191925.818242e-08
0.5152631.7190015.790782e-08
0.5171521.7188115.763221e-08
0.5190471.7186245.735560e-08
0.520951.7184375.707796e-08
0.522861.7182525.679932e-08
0.5247761.7180685.651964e-08
0.52671.7178865.623895e-08
0.5286311.7177055.595722e-08
0.5305681.7175255.567447e-08
0.5325131.7173475.539067e-08
0.5344651.7171695.510584e-08
0.5364241.7169945.481996e-08
0.5383911.7168195.453303e-08
0.5403641.7166465.424506e-08
0.5423451.7164745.395602e-08
0.5443331.7163035.366593e-08
0.5463281.7161345.337477e-08
0.5483311.7159655.308255e-08
0.551.7158275.283900e-08
0.5503411.7157985.280592e-08
0.5523581.7156335.261016e-08
0.5543831.7154685.241368e-08
0.5564151.7153045.221648e-08
0.5584551.7151425.201855e-08
0.5605021.7149815.181990e-08
0.5625561.7148215.162053e-08
0.5646191.7146625.142042e-08
0.5666881.7145045.121958e-08
0.5687651.7143485.101800e-08
0.570851.7141925.081569e-08
0.5729431.7140385.061263e-08
0.5750431.7138845.040883e-08
0.5771511.7137325.020428e-08
0.5792671.7135814.999898e-08
0.581391.7134314.979293e-08
0.5835211.7132824.958612e-08
0.585661.7131334.937855e-08
0.5878071.7129864.917023e-08
0.5899611.712844.896114e-08
0.5921241.7126954.875128e-08
0.5942951.7125514.854066e-08
0.5964731.7124084.832926e-08
0.5986591.7122664.811709e-08
0.61.7121794.798700e-08
0.6008541.7121254.796611e-08
0.6030561.7119844.791224e-08
0.6052671.7118454.785817e-08
0.6074861.7117074.780390e-08
0.6097121.7115694.774943e-08
0.6119471.7114334.769477e-08
0.6141911.7112974.763990e-08
0.6164421.7111624.758483e-08
0.6187021.7110284.752956e-08
0.620971.7108954.747409e-08
0.6232461.7107634.741841e-08
0.625531.7106324.736253e-08
0.6278231.7105024.730644e-08
0.6301251.7103724.725015e-08
0.6324341.7102434.719365e-08
0.6347531.7101164.713695e-08
0.6370791.7099884.708004e-08
0.6394151.7098624.702291e-08
0.6417591.7097374.696558e-08
0.6441111.7096124.690804e-08
0.6464721.7094884.685029e-08
0.6488421.7093654.679233e-08
0.651.7093054.676400e-08
0.651221.7092434.630417e-08
0.6536071.7091214.540460e-08
0.6560031.7094.450174e-08
0.6584081.708884.359557e-08
0.6608211.7087614.268608e-08
0.6632441.7086424.177325e-08
0.6656751.7085244.085708e-08
0.6681151.7084073.993755e-08
0.6705641.708293.901465e-08
0.6730221.7081753.808837e-08
0.6754891.7080593.715869e-08
0.6779651.7079453.622560e-08
0.680451.7078313.528909e-08
0.6829451.7077183.434915e-08
0.6854481.7076063.340577e-08
0.6879611.7074943.245892e-08
0.6904821.7073833.150861e-08
0.6930131.7072723.055481e-08
0.6955541.7071622.959752e-08
0.6981031.7070532.863671e-08
0.71.7069722.792200e-08
0.7006621.7069442.782147e-08
0.7032311.7068362.743167e-08
0.7058091.7067292.704044e-08
0.7083961.7066222.664778e-08
0.7109921.7065162.625368e-08
0.7135991.706412.585813e-08
0.7162141.7063052.546113e-08
0.718841.7062012.506268e-08
0.7214751.7060972.466277e-08
0.7241191.7059932.426139e-08
0.7267741.7058912.385854e-08
0.7294381.7057882.345422e-08
0.7321121.7056872.304841e-08
0.7347951.7055852.264111e-08
0.7374891.7054852.223232e-08
0.7401921.7053852.182203e-08
0.7429051.7052852.141024e-08
0.7456291.7051862.099694e-08
0.7483621.7050872.058213e-08
0.7511051.7049892.016579e-08
0.7538581.7048911.974793e-08
0.7566221.7047941.932853e-08
0.7593951.7046971.890760e-08
0.7621791.7046011.848513e-08
0.7649731.7045051.806110e-08
0.7677771.704411.763553e-08
0.7705911.7043151.720839e-08
0.7734161.7042211.677969e-08
0.7762511.7041271.634941e-08
0.7790961.7040331.591756e-08
0.7819521.703941.548412e-08
0.7848181.7038481.504910e-08
0.7876951.7037551.461248e-08
0.7905831.7036631.417426e-08
0.7934811.7035721.373444e-08
0.7963891.7034811.329300e-08
0.7993091.703391.284995e-08
0.81.7033691.274500e-08
0.8022381.70331.278066e-08
0.8051791.703211.282751e-08
0.8081311.7031211.287453e-08
0.8110931.7030311.292172e-08
0.8140661.7029431.296908e-08
0.817051.7028541.301662e-08
0.8200451.7027661.306433e-08
0.8230511.7026791.311222e-08
0.8260681.7025911.316028e-08
0.8290961.7025041.320852e-08
0.8321351.7024181.325694e-08
0.8351861.7023311.330553e-08
0.8382471.7022451.335431e-08
0.841321.7021591.340326e-08
0.8444041.7020741.345239e-08
0.8474991.7019891.350169e-08
0.8506061.7019041.355119e-08
0.8537241.701821.360086e-08
0.8568531.7017361.365071e-08
0.8599941.7016521.370075e-08
0.8631461.7015681.375097e-08
0.866311.7014851.380137e-08
0.8694861.7014021.385196e-08
0.8726731.7013191.390274e-08
0.8758721.7012371.395370e-08
0.8790821.7011541.400484e-08
0.8823051.7010721.405618e-08
0.8855391.7009911.410770e-08
0.8887851.7009091.415941e-08
0.8920431.7008281.421132e-08
0.8953131.7007471.426341e-08
0.8985951.7006661.431569e-08
0.9018891.7005861.436817e-08
0.9051951.7005051.442083e-08
0.9085131.7004251.447369e-08
0.9118431.7003451.452675e-08
0.9151861.7002651.457999e-08
0.918541.7001861.463344e-08
0.9219071.7001071.468708e-08
0.9252871.7000281.474091e-08
0.9286781.6999491.479494e-08
0.9320831.699871.484918e-08
0.9354991.6997911.490361e-08
0.9389281.6997131.495824e-08
0.942371.6996351.501307e-08
0.9458241.6995571.506810e-08
0.9492911.6994791.512333e-08
0.9527711.6994011.517876e-08
0.9562641.6993241.523440e-08
0.9597691.6992461.529024e-08
0.9632871.6991691.534629e-08
0.9668181.6990921.540254e-08
0.9703621.6990151.545900e-08
0.9739191.6989381.551567e-08
0.9774891.6988611.557254e-08
0.9810721.6987851.562962e-08
0.9846681.6987081.568691e-08
0.9882781.6986321.574441e-08
0.9919011.6985551.580212e-08
0.9955361.6984791.586005e-08
0.9991861.6984031.591818e-08
1.002851.6983271.597653e-08
1.006521.6982511.603509e-08
1.010211.6981751.609387e-08
1.013921.69811.615286e-08
1.017631.6980241.621207e-08
1.021361.6979481.627150e-08
1.025111.6978731.633114e-08
1.028871.6977981.639100e-08
1.032641.6977221.645108e-08
1.036421.6976471.651139e-08
1.040221.6975721.657191e-08
1.044031.6974961.663265e-08
1.047861.6974211.669362e-08
1.05171.6973461.675481e-08
1.055561.6972711.681623e-08
1.059431.6971961.687787e-08
1.061.6971851.688700e-08
1.063311.6971211.693974e-08
1.067211.6970461.700184e-08
1.071121.6969711.706416e-08
1.075051.6968961.712671e-08
1.078991.6968211.718950e-08
1.082941.6967461.725251e-08
1.086911.6966711.731575e-08
1.09091.6965961.737923e-08
1.094891.6965211.744294e-08
1.098911.6964461.750688e-08
1.102941.6963711.757105e-08
1.106981.6962961.763547e-08
1.111041.696221.770011e-08
1.115111.6961451.776500e-08
1.11921.696071.783012e-08
1.12331.6959951.789548e-08
1.127421.695921.796108e-08
1.131551.6958451.802692e-08
1.13571.6957691.809301e-08
1.139861.6956941.815933e-08
1.144041.6956181.822590e-08
1.148231.6955431.829271e-08
1.152441.6954671.835977e-08
1.156671.6953921.842707e-08
1.160911.6953161.849462e-08
1.165161.695241.856241e-08
1.169431.6951641.863046e-08
1.173721.6950881.869875e-08
1.178021.6950121.876730e-08
1.182341.6949361.883610e-08
1.186671.694861.890514e-08
1.191021.6947841.897445e-08
1.195391.6947071.904400e-08
1.199771.6946311.911381e-08
1.204171.6945541.918388e-08
1.208581.6944771.925420e-08
1.213011.69441.932478e-08
1.217461.6943231.939562e-08
1.221921.6942461.946672e-08
1.22641.6941681.953808e-08
1.23091.6940911.960970e-08
1.235411.6940131.968159e-08
1.239941.6939351.975374e-08
1.244481.6938581.982615e-08
1.249041.6937791.989883e-08
1.253621.6937011.997177e-08
1.258221.6936232.004498e-08
1.262831.6935442.011846e-08
1.267461.6934652.019221e-08
1.272111.6933862.026623e-08
1.276771.6933072.034052e-08
1.281451.6932282.041509e-08
1.286151.6931482.048992e-08
1.290861.6930682.056503e-08
1.295591.6929882.064042e-08
1.300341.6929082.071608e-08
1.305111.6928282.079202e-08
1.309891.6927472.086824e-08
1.314691.6926662.094474e-08
1.319511.6925852.102151e-08
1.324351.6925042.109857e-08
1.32921.6924222.117592e-08
1.334081.6923412.125354e-08
1.338971.6922592.133145e-08
1.343881.6921762.140965e-08
1.34881.6920942.148813e-08
1.353751.6920112.156690e-08
1.358711.6919282.164596e-08
1.363691.6918452.172531e-08
1.368691.6917612.180495e-08
1.37371.6916772.188488e-08
1.378741.6915932.196510e-08
1.383791.6915092.204562e-08
1.388871.6914242.212643e-08
1.393961.6913392.220754e-08
1.399071.6912542.228895e-08
1.40421.6911682.237065e-08
1.409341.6910822.245266e-08
1.414511.6909962.253496e-08
1.419691.6909092.261757e-08
1.42491.6908222.270048e-08
1.430121.6907352.278370e-08
1.435361.6906482.286721e-08
1.440621.690562.295104e-08
1.445911.6904712.303517e-08
1.451211.6903832.311961e-08
1.456521.6902942.320436e-08
1.461861.6902052.328942e-08
1.467221.6901152.337480e-08
1.47261.6900252.346048e-08
1.4781.6899352.354648e-08
1.483421.6898442.363280e-08
1.488851.6897532.371943e-08
1.494311.6896612.380638e-08
1.499791.6895692.389365e-08
1.51.6895662.389700e-08
1.505291.6894772.859693e-08
1.51081.6893843.350195e-08
1.516341.6892913.842496e-08
1.52191.6891974.336602e-08
1.527481.6891034.832518e-08
1.533081.6890095.330253e-08
1.53871.6889145.829812e-08
1.544341.6888196.331202e-08
1.551.6887236.834430e-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
—