Optical constants

Refractive index of K-LaFn11 (SUMITA)

K-LaFn11: 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
1.72014
Extinction coefficient k
2.34385e-08
Permittivity ε1
2.95886
Permittivity ε2
8.06347e-08
Absorption coefficient α
0.00501254 cm⁻¹
Penetration depth δ = λ/(2πk)
3.98999e+09 nm
Abbe number Vd
46.021
Chromatic dispersion dn/dλ
-0.0800686 µm⁻¹
Group index ng
1.76718
Group velocity dispersion
148.673 fs²/mm
Dispersion parameter D
-811.088 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-LaFn11 (SUMITA): K-LaFn11
sumita_k_lafn11 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-LaFn11", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_lafn11.range_nm)  # (360, 1550) nm
eps = sumita_k_lafn11.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=2.8917009−0.011920903⁢λ2.0+0.022558933⁢λ−2.0+0.00079204231⁢λ−4.0−4.0820426×10-5⁢λ−6.0+4.1373045×10-6⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C12.8917009
C2-0.011920903
C32.0
C40.022558933
C5-2.0
C60.00079204231
C7-4.0
C8-4.0820426e-05
C9-6.0
C104.1373045e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -5.4e-07 2.18e-08 -2.46e-10 5.35e-07 -3.35e-10 0.243
nd
1.72013
Vd
46.0
glass code
720460
density
value: 3880
thermal expansion
value: 8.1e-06, temperature range: 243 343; value: 8.2e-06, temperature range: 293 573
dPgF
-0.0028
resistance
acid: 4.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 5.82e-07 K⁻¹ at 633 nm, dn/dT = -1.20e-07 K⁻¹ at 1310 nm, dn/dT = -1.72e-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-LaFn11 (SUMITA), K-LaFn11: n and k versus wavelength
λ (µm)nk
0.361.7627511.319100e-06
0.361321.7621891.219304e-06
0.3626441.7616331.119141e-06
0.3639731.7610831.018612e-06
0.3653081.7605399.177143e-07
0.3666471.7600018.164466e-07
0.3679911.7594697.148077e-07
0.369341.7589436.127963e-07
0.371.7586885.628500e-07
0.3706931.7584225.438277e-07
0.3720521.7579075.065512e-07
0.3734161.7573974.691381e-07
0.3747851.7568934.315878e-07
0.3761591.7563943.938999e-07
0.3775371.75593.560738e-07
0.3789211.7554113.181091e-07
0.381.7550352.885200e-07
0.380311.7549282.852181e-07
0.3817041.7544492.703880e-07
0.3831041.7539752.555035e-07
0.3845081.7535062.405644e-07
0.3859171.7530422.255706e-07
0.3873321.7525832.105219e-07
0.3887521.7521281.954179e-07
0.391.7517341.821400e-07
0.3901771.7516781.811583e-07
0.3916071.7512321.732190e-07
0.3930431.7507911.652507e-07
0.3944831.7503541.572531e-07
0.3959291.7499221.492262e-07
0.3973811.7494931.411699e-07
0.3988371.7490691.330841e-07
0.41.7487351.266300e-07
0.4002991.7486491.260526e-07
0.4017671.7482331.232220e-07
0.4032391.7478211.203810e-07
0.4047171.7474141.175295e-07
0.4062011.747011.146676e-07
0.407691.746611.117952e-07
0.4091841.7462131.089123e-07
0.4106841.7458211.060188e-07
0.412191.7454321.031148e-07
0.4137011.7450471.002000e-07
0.4152171.7446669.727460e-08
0.4167391.7442889.433846e-08
0.4182671.7439139.139156e-08
0.41981.7435438.843385e-08
0.421.7434948.804800e-08
0.4213391.7431758.665022e-08
0.4228831.7428118.503772e-08
0.4244331.742458.341931e-08
0.4259891.7420938.179497e-08
0.4275511.7417398.016467e-08
0.4291181.7413887.852840e-08
0.4306911.7410417.688612e-08
0.432271.7406967.523783e-08
0.4338541.7403557.358350e-08
0.4354451.7400177.192310e-08
0.4370411.7396817.025662e-08
0.4386431.7393496.858403e-08
0.441.7390716.716700e-08
0.4402511.739026.701858e-08
0.4418641.7386946.606297e-08
0.4434841.738376.510386e-08
0.445111.738056.414124e-08
0.4467411.7377326.317509e-08
0.4483791.7374176.220539e-08
0.4500231.7371056.123214e-08
0.4516721.7367966.025533e-08
0.4533281.7364895.927493e-08
0.454991.7361855.829094e-08
0.4566571.7358845.730334e-08
0.4583311.7355855.631212e-08
0.461.7352915.532400e-08
0.4600111.7352895.531877e-08
0.4616981.7349955.454226e-08
0.463391.7347045.376291e-08
0.4650891.7344165.298070e-08
0.4667931.734135.219562e-08
0.4685051.7338465.140767e-08
0.4702221.7335655.061683e-08
0.4719461.7332864.982308e-08
0.4736751.733014.902643e-08
0.4754121.7327364.822686e-08
0.4771541.7324644.742436e-08
0.4789041.7321944.661891e-08
0.481.7320274.611400e-08
0.4806591.7319274.591217e-08
0.4824211.7316624.537259e-08
0.4841891.7313994.483102e-08
0.4859641.7311394.428748e-08
0.4877461.730884.374194e-08
0.4895331.7306244.319440e-08
0.4913281.730374.264485e-08
0.4931291.7301184.209329e-08
0.4949361.7298684.153970e-08
0.4967511.729624.098409e-08
0.4985721.7293744.042644e-08
0.51.7291843.998900e-08
0.5003991.7291313.984489e-08
0.5022331.7288893.918272e-08
0.5040741.7286493.851812e-08
0.5059221.7284113.785108e-08
0.5077771.7281753.718160e-08
0.5096381.7279413.650967e-08
0.5115061.7277093.583527e-08
0.5133811.7274793.515840e-08
0.5152631.727253.447905e-08
0.5171521.7270243.379721e-08
0.5190471.7267993.311287e-08
0.520951.7265763.242602e-08
0.522861.7263553.173666e-08
0.5247761.7261353.104476e-08
0.52671.7259183.035033e-08
0.5286311.7257022.965336e-08
0.5305681.7254872.895383e-08
0.5325131.7252752.825173e-08
0.5344651.7250642.754707e-08
0.5364241.7248552.683981e-08
0.5383911.7246472.612997e-08
0.5403641.7244412.541753e-08
0.5423451.7242372.470247e-08
0.5443331.7240342.398479e-08
0.5463281.7238332.326448e-08
0.5483311.7236332.254153e-08
0.551.7234692.193900e-08
0.5503411.7234352.195260e-08
0.5523581.7232392.203305e-08
0.5543831.7230442.211379e-08
0.5564151.722852.219484e-08
0.5584551.7226582.227617e-08
0.5605021.7224682.235781e-08
0.5625561.7222792.243975e-08
0.5646191.7220912.252199e-08
0.5666881.7219052.260452e-08
0.5687651.721722.268737e-08
0.570851.7215372.277051e-08
0.5729431.7213552.285396e-08
0.5750431.7211742.293772e-08
0.5771511.7209952.302178e-08
0.5792671.7208172.310615e-08
0.581391.720642.319083e-08
0.5835211.7204652.327582e-08
0.585661.7202912.336112e-08
0.5878071.7201182.344674e-08
0.5899611.7199472.353266e-08
0.5921241.7197772.361891e-08
0.5942951.7196082.370547e-08
0.5964731.7194412.379234e-08
0.5986591.7192742.387954e-08
0.61.7191732.393300e-08
0.6008541.7191092.378968e-08
0.6030561.7189452.342001e-08
0.6052671.7187822.304899e-08
0.6074861.7186212.267661e-08
0.6097121.718462.230286e-08
0.6119471.7183012.192774e-08
0.6141911.7181432.155125e-08
0.6164421.7179862.117338e-08
0.6187021.717832.079412e-08
0.620971.7176752.041347e-08
0.6232461.7175222.003143e-08
0.625531.7173691.964799e-08
0.6278231.7172181.926314e-08
0.6301251.7170681.887688e-08
0.6324341.7169181.848920e-08
0.6347531.716771.810010e-08
0.6370791.7166231.770958e-08
0.6394151.7164771.731763e-08
0.6417591.7163321.692423e-08
0.6441111.7161871.652940e-08
0.6464721.7160441.613312e-08
0.6488421.7159021.573539e-08
0.651.7158331.554100e-08
0.651221.7157611.543389e-08
0.6536071.7156211.522435e-08
0.6560031.7154821.501404e-08
0.6584081.7153431.480296e-08
0.6608211.7152061.459110e-08
0.6632441.715071.437847e-08
0.6656751.7149341.416506e-08
0.6681151.71481.395087e-08
0.6705641.7146661.373589e-08
0.6730221.7145331.352012e-08
0.6754891.7144011.330357e-08
0.6779651.714271.308622e-08
0.680451.714141.286807e-08
0.6829451.7140111.264912e-08
0.6854481.7138831.242937e-08
0.6879611.7137551.220882e-08
0.6904821.7136281.198745e-08
0.6930131.7135021.176528e-08
0.6955541.7133771.154229e-08
0.6981031.7132531.131848e-08
0.71.7131611.115200e-08
0.7006621.713131.116255e-08
0.7032311.7130071.120347e-08
0.7058091.7128851.124453e-08
0.7083961.7127641.128574e-08
0.7109921.7126431.132711e-08
0.7135991.7125241.136863e-08
0.7162141.7124051.141030e-08
0.718841.7122871.145212e-08
0.7214751.712171.149409e-08
0.7241191.7120531.153622e-08
0.7267741.7119371.157851e-08
0.7294381.7118221.162095e-08
0.7321121.7117071.166354e-08
0.7347951.7115941.170629e-08
0.7374891.711481.174920e-08
0.7401921.7113681.179226e-08
0.7429051.7112561.183548e-08
0.7456291.7111451.187886e-08
0.7483621.7110351.192240e-08
0.7511051.7109251.196610e-08
0.7538581.7108161.200996e-08
0.7566221.7107071.205398e-08
0.7593951.71061.209816e-08
0.7621791.7104921.214251e-08
0.7649731.7103861.218701e-08
0.7677771.710281.223168e-08
0.7705911.7101741.227652e-08
0.7734161.710071.232151e-08
0.7762511.7099661.236668e-08
0.7790961.7098621.241200e-08
0.7819521.7097591.245750e-08
0.7848181.7096561.250316e-08
0.7876951.7095551.254899e-08
0.7905831.7094531.259498e-08
0.7934811.7093531.264115e-08
0.7963891.7092521.268748e-08
0.7993091.7091531.273398e-08
0.81.7091291.274500e-08
0.8022381.7090531.278066e-08
0.8051791.7089551.282751e-08
0.8081311.7088571.287453e-08
0.8110931.7087591.292172e-08
0.8140661.7086621.296908e-08
0.817051.7085661.301662e-08
0.8200451.7084691.306433e-08
0.8230511.7083741.311222e-08
0.8260681.7082791.316028e-08
0.8290961.7081841.320852e-08
0.8321351.708091.325694e-08
0.8351861.7079961.330553e-08
0.8382471.7079031.335431e-08
0.841321.707811.340326e-08
0.8444041.7077181.345239e-08
0.8474991.7076261.350169e-08
0.8506061.7075351.355119e-08
0.8537241.7074441.360086e-08
0.8568531.7073531.365071e-08
0.8599941.7072631.370075e-08
0.8631461.7071731.375097e-08
0.866311.7070841.380137e-08
0.8694861.7069951.385196e-08
0.8726731.7069071.390274e-08
0.8758721.7068181.395370e-08
0.8790821.7067311.400484e-08
0.8823051.7066431.405618e-08
0.8855391.7065561.410770e-08
0.8887851.706471.415941e-08
0.8920431.7063841.421132e-08
0.8953131.7062981.426341e-08
0.8985951.7062121.431569e-08
0.9018891.7061271.436817e-08
0.9051951.7060421.442083e-08
0.9085131.7059581.447369e-08
0.9118431.7058731.452675e-08
0.9151861.705791.457999e-08
0.918541.7057061.463344e-08
0.9219071.7056231.468708e-08
0.9252871.705541.474091e-08
0.9286781.7054581.479494e-08
0.9320831.7053751.484918e-08
0.9354991.7052931.490361e-08
0.9389281.7052121.495824e-08
0.942371.705131.501307e-08
0.9458241.7050491.506810e-08
0.9492911.7049681.512333e-08
0.9527711.7048881.517876e-08
0.9562641.7048081.523440e-08
0.9597691.7047281.529024e-08
0.9632871.7046481.534629e-08
0.9668181.7045691.540254e-08
0.9703621.7044891.545900e-08
0.9739191.704411.551567e-08
0.9774891.7043321.557254e-08
0.9810721.7042531.562962e-08
0.9846681.7041751.568691e-08
0.9882781.7040971.574441e-08
0.9919011.7040191.580212e-08
0.9955361.7039411.586005e-08
0.9991861.7038641.591818e-08
1.002851.7037871.597653e-08
1.006521.703711.603509e-08
1.010211.7036331.609387e-08
1.013921.7035571.615286e-08
1.017631.703481.621207e-08
1.021361.7034041.627150e-08
1.025111.7033281.633114e-08
1.028871.7032521.639100e-08
1.032641.7031771.645108e-08
1.036421.7031011.651139e-08
1.040221.7030261.657191e-08
1.044031.7029511.663265e-08
1.047861.7028761.669362e-08
1.05171.7028011.675481e-08
1.055561.7027261.681623e-08
1.059431.7026521.687787e-08
1.061.7026411.688700e-08
1.063311.7025771.702977e-08
1.067211.7025031.719788e-08
1.071121.7024291.736660e-08
1.075051.7023551.753594e-08
1.078991.7022811.770590e-08
1.082941.7022071.787648e-08
1.086911.7021331.804769e-08
1.09091.702061.821953e-08
1.094891.7019861.839199e-08
1.098911.7019131.856509e-08
1.102941.701841.873883e-08
1.106981.7017671.891320e-08
1.111041.7016931.908821e-08
1.115111.701621.926386e-08
1.11921.7015481.944015e-08
1.12331.7014751.961709e-08
1.127421.7014021.979468e-08
1.131551.7013291.997292e-08
1.13571.7012572.015182e-08
1.139861.7011842.033137e-08
1.144041.7011112.051157e-08
1.148231.7010392.069244e-08
1.152441.7009662.087397e-08
1.156671.7008942.105617e-08
1.160911.7008222.123903e-08
1.165161.7007492.142257e-08
1.169431.7006772.160678e-08
1.173721.7006052.179166e-08
1.178021.7005332.197722e-08
1.182341.700462.216346e-08
1.186671.7003882.235039e-08
1.191021.7003162.253799e-08
1.195391.7002442.272629e-08
1.199771.7001712.291528e-08
1.204171.7000992.310496e-08
1.208581.7000272.329533e-08
1.213011.6999552.348640e-08
1.217461.6998822.367818e-08
1.221921.699812.387065e-08
1.22641.6997382.406383e-08
1.23091.6996662.425772e-08
1.235411.6995932.445232e-08
1.239941.6995212.464764e-08
1.244481.6994482.484367e-08
1.249041.6993762.504042e-08
1.253621.6993032.523788e-08
1.258221.6992312.543608e-08
1.262831.6991582.563500e-08
1.267461.6990852.583465e-08
1.272111.6990132.603503e-08
1.276771.698942.623614e-08
1.281451.6988672.643799e-08
1.286151.6987942.664059e-08
1.290861.6987212.684392e-08
1.295591.6986482.704800e-08
1.300341.6985742.725283e-08
1.305111.6985012.745841e-08
1.309891.6984272.766474e-08
1.314691.6983542.787183e-08
1.319511.698282.807968e-08
1.324351.6982062.828829e-08
1.32921.6981332.849767e-08
1.334081.6980592.870781e-08
1.338971.6979842.891872e-08
1.343881.697912.913041e-08
1.34881.6978362.934287e-08
1.353751.6977612.955611e-08
1.358711.6976872.977013e-08
1.363691.6976122.998494e-08
1.368691.6975373.020053e-08
1.37371.6974623.041692e-08
1.378741.6973873.063409e-08
1.383791.6973113.085207e-08
1.388871.6972363.107084e-08
1.393961.697163.129041e-08
1.399071.6970843.151079e-08
1.40421.6970083.173198e-08
1.409341.6969313.195398e-08
1.414511.6968553.217679e-08
1.419691.6967783.240042e-08
1.42491.6967013.262487e-08
1.430121.6966243.285014e-08
1.435361.6965473.307623e-08
1.440621.696473.330316e-08
1.445911.6963923.353092e-08
1.451211.6963143.375951e-08
1.456521.6962363.398894e-08
1.461861.6961583.421921e-08
1.467221.6960793.445033e-08
1.47261.6963.468229e-08
1.4781.6959213.491510e-08
1.483421.6958423.514877e-08
1.488851.6957633.538329e-08
1.494311.6956833.561867e-08
1.499791.6956033.585492e-08
1.51.69563.586400e-08
1.505291.6955223.922855e-08
1.51081.6954424.273992e-08
1.516341.6953614.626417e-08
1.52191.695284.980133e-08
1.527481.6951995.335146e-08
1.533081.6951175.691461e-08
1.53871.6950356.049081e-08
1.544341.6949536.408013e-08
1.551.694876.768260e-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
—