Optical constants

Refractive index of K-LaKn14 (SUMITA)

K-LaKn14: 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
1.741
Extinction coefficient k
9.36134e-09
Permittivity ε1
3.03107
Permittivity ε2
3.25962e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
52.673
Chromatic dispersion dn/dλ
-0.0725697 µm⁻¹
Group index ng
1.78364
Group velocity dispersion
128.336 fs²/mm
Dispersion parameter D
-700.14 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-LaKn14 (SUMITA): K-LaKn14
sumita_k_lakn14 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-LaKn14", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_lakn14.range_nm)  # (360, 1550) nm
eps = sumita_k_lakn14.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=2.9713549−0.015047149⁢λ2.0+0.020748381⁢λ−2.0+0.00068239287⁢λ−4.0−4.5897244×10-5⁢λ−6.0+3.0151479×10-6⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C12.9713549
C2-0.015047149
C32.0
C40.020748381
C5-2.0
C60.00068239287
C7-4.0
C8-4.5897244e-05
C9-6.0
C103.0151479e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 1.61e-06 1.71e-08 -9.82e-11 5.38e-07 2.35e-11 0.138
nd
1.74100
Vd
52.7
glass code
741527
density
value: 4310
thermal expansion
value: 5.8e-06, temperature range: 243 343; value: 7.4e-06, temperature range: 293 573
dPgF
-0.0095
resistance
acid: 4.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.76e-06 K⁻¹ at 633 nm, dn/dT = 1.10e-06 K⁻¹ at 1310 nm, dn/dT = 1.04e-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-LaKn14 (SUMITA), K-LaKn14: n and k versus wavelength
λ (µm)nk
0.361.7775633.402900e-07
0.361321.7771073.231640e-07
0.3626441.7766553.059751e-07
0.3639731.7762072.887233e-07
0.3653081.7757642.714082e-07
0.3666471.7753242.540297e-07
0.3679911.7748892.365875e-07
0.369341.7744582.190813e-07
0.371.7742492.105100e-07
0.3706931.7740312.053483e-07
0.3720521.7736081.952332e-07
0.3734161.7731891.850811e-07
0.3747851.7727731.748917e-07
0.3761591.7723621.646650e-07
0.3775371.7719541.544009e-07
0.3789211.771551.440991e-07
0.381.7712391.360700e-07
0.380311.771151.346814e-07
0.3817041.7707531.284448e-07
0.3831041.770361.221853e-07
0.3845081.769971.159028e-07
0.3859171.7695841.095973e-07
0.3873321.7692011.032687e-07
0.3887521.7688229.691689e-08
0.391.7684939.133300e-08
0.3901771.7684469.085503e-08
0.3916071.7680748.698967e-08
0.3930431.7677048.311014e-08
0.3944831.7673387.921639e-08
0.3959291.7669757.530836e-08
0.3973811.7666157.138601e-08
0.3988371.7662596.744929e-08
0.41.7659776.430700e-08
0.4002991.7659056.394849e-08
0.4017671.7655556.219083e-08
0.4032391.7652076.042674e-08
0.4047171.7648635.865617e-08
0.4062011.7645225.687911e-08
0.407691.7641835.509554e-08
0.4091841.7638475.330543e-08
0.4106841.7635145.150876e-08
0.412191.7631844.970551e-08
0.4137011.7628574.789564e-08
0.4152171.7625334.607914e-08
0.4167391.7622114.425598e-08
0.4182671.7618924.242614e-08
0.41981.7615764.058959e-08
0.421.7615354.035000e-08
0.4213391.7612623.953159e-08
0.4228831.7609513.858745e-08
0.4244331.7606423.763986e-08
0.4259891.7603363.668880e-08
0.4275511.7600333.573424e-08
0.4291181.7597323.477619e-08
0.4306911.7594333.381463e-08
0.432271.7591373.284954e-08
0.4338541.7588443.188091e-08
0.4354451.7585533.090874e-08
0.4370411.7582642.993300e-08
0.4386431.7579772.895368e-08
0.441.7577372.812400e-08
0.4402511.7576932.804763e-08
0.4418641.7574112.755590e-08
0.4434841.7571322.706238e-08
0.445111.7568552.656705e-08
0.4467411.756582.606990e-08
0.4483791.7563072.557093e-08
0.4500231.7560362.507013e-08
0.4516721.7557682.456749e-08
0.4533281.7555012.406301e-08
0.454991.7552372.355668e-08
0.4566571.7549752.304850e-08
0.4583311.7547152.253845e-08
0.461.7544592.203000e-08
0.4600111.7544572.202618e-08
0.4616981.7542012.145961e-08
0.463391.7539472.089096e-08
0.4650891.7536952.032023e-08
0.4667931.7534461.974741e-08
0.4685051.7531981.917248e-08
0.4702221.7529521.859545e-08
0.4719461.7527081.801630e-08
0.4736751.7524651.743503e-08
0.4754121.7522251.685163e-08
0.4771541.7519871.626609e-08
0.4789041.751751.567841e-08
0.481.7516031.531000e-08
0.4806591.7515151.519945e-08
0.4824211.7512831.490389e-08
0.4841891.7510511.460724e-08
0.4859641.7508221.430951e-08
0.4877461.7505951.401069e-08
0.4895331.7503691.371077e-08
0.4913281.7501451.340975e-08
0.4931291.7499221.310763e-08
0.4949361.7497021.280440e-08
0.4967511.7494831.250006e-08
0.4985721.7492651.219461e-08
0.51.7490971.195500e-08
0.5003991.749051.192951e-08
0.5022331.7488361.181238e-08
0.5040741.7486231.169483e-08
0.5059221.7484131.157684e-08
0.5077771.7482031.145843e-08
0.5096381.7479961.133957e-08
0.5115061.747791.122028e-08
0.5133811.7475851.110056e-08
0.5152631.7473821.098040e-08
0.5171521.7471811.085979e-08
0.5190471.7469811.073874e-08
0.520951.7467821.061725e-08
0.522861.7465851.049532e-08
0.5247761.746391.037294e-08
0.52671.7461961.025010e-08
0.5286311.7460031.012682e-08
0.5305681.7458121.000309e-08
0.5325131.7456229.878902e-09
0.5344651.7454349.754260e-09
0.5364241.7452469.629160e-09
0.5383911.7450619.503603e-09
0.5403641.7448769.377585e-09
0.5423451.7446939.251105e-09
0.5443331.7445129.124161e-09
0.5463281.7443318.996753e-09
0.5483311.7441528.868877e-09
0.551.7440058.762300e-09
0.5503411.7439758.767731e-09
0.5523581.7437988.799871e-09
0.5543831.7436238.832130e-09
0.5564151.7434498.864506e-09
0.5584551.7432768.897001e-09
0.5605021.7431058.929615e-09
0.5625561.7429358.962348e-09
0.5646191.7427668.995202e-09
0.5666881.7425989.028176e-09
0.5687651.7424319.061271e-09
0.570851.7422669.094487e-09
0.5729431.7421019.127825e-09
0.5750431.7419389.161285e-09
0.5771511.7417769.194868e-09
0.5792671.7416159.228574e-09
0.581391.7414559.262404e-09
0.5835211.7412979.296357e-09
0.585661.7411399.330435e-09
0.5878071.7409839.364638e-09
0.5899611.7408279.398966e-09
0.5921241.7406739.433420e-09
0.5942951.740529.468001e-09
0.5964731.7403689.502708e-09
0.5986591.7402169.537542e-09
0.61.7401259.558900e-09
0.6008541.7400669.572496e-09
0.6030561.7399179.607564e-09
0.6052671.7397699.642761e-09
0.6074861.7396229.678087e-09
0.6097121.7394769.713542e-09
0.6119471.7393319.749127e-09
0.6141911.7391879.784843e-09
0.6164421.7390439.820689e-09
0.6187021.7389019.856667e-09
0.620971.738769.892777e-09
0.6232461.7386199.929019e-09
0.625531.738489.965394e-09
0.6278231.7383411.000190e-08
0.6301251.7382041.003854e-08
0.6324341.7380671.007532e-08
0.6347531.7379311.011223e-08
0.6370791.7377961.014928e-08
0.6394151.7376621.018646e-08
0.6417591.7375291.022378e-08
0.6441111.7373961.026124e-08
0.6464721.7372651.029883e-08
0.6488421.7371341.033656e-08
0.651.7370711.035500e-08
0.651221.7370041.037445e-08
0.6536071.7368751.041250e-08
0.6560031.7367471.045069e-08
0.6584081.736621.048902e-08
0.6608211.7364931.052749e-08
0.6632441.7363671.056610e-08
0.6656751.7362421.060486e-08
0.6681151.7361181.064375e-08
0.6705641.7359941.068279e-08
0.6730221.7358711.072197e-08
0.6754891.7357491.076130e-08
0.6779651.7356281.080077e-08
0.680451.7355071.084038e-08
0.6829451.7353881.088014e-08
0.6854481.7352681.092004e-08
0.6879611.735151.096009e-08
0.6904821.7350321.100029e-08
0.6930131.7349151.104063e-08
0.6955541.7347991.108113e-08
0.6981031.7346831.112177e-08
0.71.7345981.115200e-08
0.7006621.7345681.116255e-08
0.7032311.7344541.120347e-08
0.7058091.734341.124453e-08
0.7083961.7342271.128574e-08
0.7109921.7341151.132711e-08
0.7135991.7340031.136863e-08
0.7162141.7338921.141030e-08
0.718841.7337811.145212e-08
0.7214751.7336721.149409e-08
0.7241191.7335621.153622e-08
0.7267741.7334541.157851e-08
0.7294381.7333461.162095e-08
0.7321121.7332381.166354e-08
0.7347951.7331311.170629e-08
0.7374891.7330251.174920e-08
0.7401921.7329191.179226e-08
0.7429051.7328141.183548e-08
0.7456291.7327091.187886e-08
0.7483621.7326051.192240e-08
0.7511051.7325021.196610e-08
0.7538581.7323991.200996e-08
0.7566221.7322961.205398e-08
0.7593951.7321941.209816e-08
0.7621791.7320931.214251e-08
0.7649731.7319921.218701e-08
0.7677771.7318911.223168e-08
0.7705911.7317911.227652e-08
0.7734161.7316921.232151e-08
0.7762511.7315931.236668e-08
0.7790961.7314941.241200e-08
0.7819521.7313961.245750e-08
0.7848181.7312991.250316e-08
0.7876951.7312021.254899e-08
0.7905831.7311051.259498e-08
0.7934811.7310091.264115e-08
0.7963891.7309131.268748e-08
0.7993091.7308181.273398e-08
0.81.7307951.274500e-08
0.8022381.7307231.278066e-08
0.8051791.7306291.282751e-08
0.8081311.7305351.287453e-08
0.8110931.7304411.292172e-08
0.8140661.7303481.296908e-08
0.817051.7302551.301662e-08
0.8200451.7301631.306433e-08
0.8230511.7300711.311222e-08
0.8260681.7299791.316028e-08
0.8290961.7298881.320852e-08
0.8321351.7297971.325694e-08
0.8351861.7297061.330553e-08
0.8382471.7296161.335431e-08
0.841321.7295271.340326e-08
0.8444041.7294371.345239e-08
0.8474991.7293481.350169e-08
0.8506061.7292591.355119e-08
0.8537241.7291711.360086e-08
0.8568531.7290831.365071e-08
0.8599941.7289951.370075e-08
0.8631461.7289081.375097e-08
0.866311.7288211.380137e-08
0.8694861.7287341.385196e-08
0.8726731.7286471.390274e-08
0.8758721.7285611.395370e-08
0.8790821.7284751.400484e-08
0.8823051.728391.405618e-08
0.8855391.7283041.410770e-08
0.8887851.7282191.415941e-08
0.8920431.7281351.421132e-08
0.8953131.728051.426341e-08
0.8985951.7279661.431569e-08
0.9018891.7278821.436817e-08
0.9051951.7277981.442083e-08
0.9085131.7277151.447369e-08
0.9118431.7276321.452675e-08
0.9151861.7275491.457999e-08
0.918541.7274661.463344e-08
0.9219071.7273841.468708e-08
0.9252871.7273011.474091e-08
0.9286781.7272191.479494e-08
0.9320831.7271371.484918e-08
0.9354991.7270561.490361e-08
0.9389281.7269741.495824e-08
0.942371.7268931.501307e-08
0.9458241.7268121.506810e-08
0.9492911.7267311.512333e-08
0.9527711.7266511.517876e-08
0.9562641.726571.523440e-08
0.9597691.726491.529024e-08
0.9632871.726411.534629e-08
0.9668181.726331.540254e-08
0.9703621.726251.545900e-08
0.9739191.7261711.551567e-08
0.9774891.7260911.557254e-08
0.9810721.7260121.562962e-08
0.9846681.7259331.568691e-08
0.9882781.7258541.574441e-08
0.9919011.7257751.580212e-08
0.9955361.7256961.586005e-08
0.9991861.7256181.591818e-08
1.002851.7255391.597653e-08
1.006521.7254611.603509e-08
1.010211.7253821.609387e-08
1.013921.7253041.615286e-08
1.017631.7252261.621207e-08
1.021361.7251481.627150e-08
1.025111.725071.633114e-08
1.028871.7249931.639100e-08
1.032641.7249151.645108e-08
1.036421.7248371.651139e-08
1.040221.724761.657191e-08
1.044031.7246821.663265e-08
1.047861.7246051.669362e-08
1.05171.7245281.675481e-08
1.055561.7244511.681623e-08
1.059431.7243731.687787e-08
1.061.7243621.688700e-08
1.063311.7242961.693974e-08
1.067211.7242191.700184e-08
1.071121.7241421.706416e-08
1.075051.7240651.712671e-08
1.078991.7239881.718950e-08
1.082941.7239111.725251e-08
1.086911.7238341.731575e-08
1.09091.7237571.737923e-08
1.094891.723681.744294e-08
1.098911.7236031.750688e-08
1.102941.7235271.757105e-08
1.106981.723451.763547e-08
1.111041.7233731.770011e-08
1.115111.7232961.776500e-08
1.11921.7232191.783012e-08
1.12331.7231421.789548e-08
1.127421.7230651.796108e-08
1.131551.7229881.802692e-08
1.13571.7229111.809301e-08
1.139861.7228341.815933e-08
1.144041.7227571.822590e-08
1.148231.722681.829271e-08
1.152441.7226031.835977e-08
1.156671.7225261.842707e-08
1.160911.7224491.849462e-08
1.165161.7223711.856241e-08
1.169431.7222941.863046e-08
1.173721.7222161.869875e-08
1.178021.7221391.876730e-08
1.182341.7220611.883610e-08
1.186671.7219841.890514e-08
1.191021.7219061.897445e-08
1.195391.7218281.904400e-08
1.199771.721751.911381e-08
1.204171.7216721.918388e-08
1.208581.7215941.925420e-08
1.213011.7215161.932478e-08
1.217461.7214381.939562e-08
1.221921.7213591.946672e-08
1.22641.7212811.953808e-08
1.23091.7212021.960970e-08
1.235411.7211231.968159e-08
1.239941.7210441.975374e-08
1.244481.7209651.982615e-08
1.249041.7208861.989883e-08
1.253621.7208061.997177e-08
1.258221.7207272.004498e-08
1.262831.7206472.011846e-08
1.267461.7205672.019221e-08
1.272111.7204872.026623e-08
1.276771.7204072.034052e-08
1.281451.7203272.041509e-08
1.286151.7202462.048992e-08
1.290861.7201662.056503e-08
1.295591.7200852.064042e-08
1.300341.7200042.071608e-08
1.305111.7199222.079202e-08
1.309891.7198412.086824e-08
1.314691.7197592.094474e-08
1.319511.7196772.102151e-08
1.324351.7195952.109857e-08
1.32921.7195132.117592e-08
1.334081.719432.125354e-08
1.338971.7193472.133145e-08
1.343881.7192642.140965e-08
1.34881.7191812.148813e-08
1.353751.7190982.156690e-08
1.358711.7190142.164596e-08
1.363691.718932.172531e-08
1.368691.7188462.180495e-08
1.37371.7187612.188488e-08
1.378741.7186762.196510e-08
1.383791.7185912.204562e-08
1.388871.7185062.212643e-08
1.393961.7184212.220754e-08
1.399071.7183352.228895e-08
1.40421.7182492.237065e-08
1.409341.7181622.245266e-08
1.414511.7180752.253496e-08
1.419691.7179882.261757e-08
1.42491.7179012.270048e-08
1.430121.7178132.278370e-08
1.435361.7177252.286721e-08
1.440621.7176372.295104e-08
1.445911.7175482.303517e-08
1.451211.7174592.311961e-08
1.456521.717372.320436e-08
1.461861.717282.328942e-08
1.467221.717192.337480e-08
1.47261.71712.346048e-08
1.4781.7170092.354648e-08
1.483421.7169182.363280e-08
1.488851.7168272.371943e-08
1.494311.7167352.380638e-08
1.499791.7166432.389365e-08
1.51.716642.389700e-08
1.505291.7165512.911770e-08
1.51081.7164583.456624e-08
1.516341.7163644.003474e-08
1.52191.7162714.552329e-08
1.527481.7161765.103196e-08
1.533081.7160825.656082e-08
1.53871.7159876.210995e-08
1.544341.7158926.767942e-08
1.551.7157967.326930e-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
—