Optical constants

Refractive index of K-LaFK55 (SUMITA)

K-LaFK55: 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
1.69399
Extinction coefficient k
9.36134e-09
Permittivity ε1
2.86961
Permittivity ε2
3.17161e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
56.287
Chromatic dispersion dn/dλ
-0.0636403 µm⁻¹
Group index ng
1.73139
Group velocity dispersion
111.86 fs²/mm
Dispersion parameter D
-610.257 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-LaFK55 (SUMITA): K-LaFK55
sumita_k_lafk55 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-LaFK55", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_lafk55.range_nm)  # (360, 1550) nm
eps = sumita_k_lafk55.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=2.8185206−0.013230603⁢λ2.0+0.018037587⁢λ−2.0+0.00045589602⁢λ−4.0−2.131672×10-5⁢λ−6.0+1.5724724×10-6⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C12.8185206
C2-0.013230603
C32.0
C40.018037587
C5-2.0
C60.00045589602
C7-4.0
C8-2.131672e-05
C9-6.0
C101.5724724e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -2.43e-06 1.08e-08 -8.1e-11 5.36e-07 6.73e-10 0.111
nd
1.69400
Vd
56.3
glass code
694563
density
value: 4340
thermal expansion
value: 7.3e-06, temperature range: 243 343; value: 9.1e-06, temperature range: 293 573
dPgF
-0.0045
resistance
acid: 4.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -5.78e-07 K⁻¹ at 633 nm, dn/dT = -1.14e-06 K⁻¹ at 1310 nm, dn/dT = -1.18e-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-LaFK55 (SUMITA), K-LaFK55: n and k versus wavelength
λ (µm)nk
0.361.7259523.082100e-07
0.361321.7255552.899293e-07
0.3626441.7251612.715816e-07
0.3639731.7247722.531666e-07
0.3653081.7243862.346841e-07
0.3666471.7240042.161339e-07
0.3679911.7236251.975156e-07
0.369341.7232491.788292e-07
0.371.7230671.696800e-07
0.3706931.7228771.643010e-07
0.3720521.7225091.537602e-07
0.3734161.7221431.431808e-07
0.3747851.7217811.325626e-07
0.3761591.7214231.219055e-07
0.3775371.7210671.112094e-07
0.3789211.7207151.004740e-07
0.381.7204439.210700e-08
0.380311.7203669.099784e-08
0.3817041.720028.601612e-08
0.3831041.7196778.101615e-08
0.3845081.7193377.599785e-08
0.3859171.7197.096115e-08
0.3873321.7186666.590599e-08
0.3887521.7183356.083230e-08
0.391.7180475.637200e-08
0.3901771.7180065.588399e-08
0.3916071.7176815.193739e-08
0.3930431.7173594.797632e-08
0.3944831.7170394.400074e-08
0.3959291.7167224.001058e-08
0.3973811.7164083.600579e-08
0.3988371.7160963.198633e-08
0.41.715852.877800e-08
0.4002991.7157872.844748e-08
0.4017671.7154812.682703e-08
0.4032391.7151782.520065e-08
0.4047171.7148772.356830e-08
0.4062011.7145782.192997e-08
0.407691.7142822.028563e-08
0.4091841.7139891.863527e-08
0.4106841.7136981.697886e-08
0.412191.713411.531637e-08
0.4137011.7131241.364779e-08
0.4152171.712841.197310e-08
0.4167391.7125591.029226e-08
0.4182671.712288.605267e-09
0.41981.7120036.912087e-09
0.421.7119676.691200e-09
0.4213391.7117296.712527e-09
0.4228831.7114576.737131e-09
0.4244331.7111876.761824e-09
0.4259891.710926.786608e-09
0.4275511.7106546.811483e-09
0.4291181.7103916.836449e-09
0.4306911.710136.861507e-09
0.432271.7098716.886656e-09
0.4338541.7096146.911898e-09
0.4354451.709366.937232e-09
0.4370411.7091076.962659e-09
0.4386431.7088576.988179e-09
0.441.7086477.009800e-09
0.4402511.7086087.013794e-09
0.4418641.7083627.039510e-09
0.4434841.7081177.065320e-09
0.445111.7078757.091224e-09
0.4467411.7076347.117224e-09
0.4483791.7073957.143319e-09
0.4500231.7071597.169509e-09
0.4516721.7069247.195796e-09
0.4533281.7066917.222179e-09
0.454991.706467.248658e-09
0.4566571.706237.275235e-09
0.4583311.7060037.301909e-09
0.461.7057797.328500e-09
0.4600111.7057777.328681e-09
0.4616981.7055537.355543e-09
0.463391.7053317.382503e-09
0.4650891.7051117.409561e-09
0.4667931.7048927.436719e-09
0.4685051.7046757.463977e-09
0.4702221.704467.491334e-09
0.4719461.7042477.518792e-09
0.4736751.7040357.546351e-09
0.4754121.7038247.574010e-09
0.4771541.7036167.601771e-09
0.4789041.7034097.629634e-09
0.481.703287.647100e-09
0.4806591.7032037.657598e-09
0.4824211.7037.685666e-09
0.4841891.7027977.713836e-09
0.4859641.7025977.742109e-09
0.4877461.7023987.770486e-09
0.4895331.70227.798967e-09
0.4913281.7020047.827553e-09
0.4931291.7018097.856243e-09
0.4949361.7016167.885038e-09
0.4967511.7014257.913939e-09
0.4985721.7012347.942946e-09
0.51.7010877.965700e-09
0.5003991.7010467.972060e-09
0.5022331.7008588.001284e-09
0.5040741.7006728.030614e-09
0.5059221.7004888.060053e-09
0.5077771.7003058.089599e-09
0.5096381.7001238.119253e-09
0.5115061.6999438.149016e-09
0.5133811.6997648.178889e-09
0.5152631.6995868.208870e-09
0.5171521.699418.238962e-09
0.5190471.6992348.269164e-09
0.520951.6990618.299477e-09
0.522861.6988888.329900e-09
0.5247761.6987178.360436e-09
0.52671.6985478.391083e-09
0.5286311.6983788.421843e-09
0.5305681.6982118.452715e-09
0.5325131.6980458.483700e-09
0.5344651.697888.514799e-09
0.5364241.6977168.546013e-09
0.5383911.6975538.577340e-09
0.5403641.6973928.608782e-09
0.5423451.6972318.640340e-09
0.5443331.6970728.672013e-09
0.5463281.6969148.703803e-09
0.5483311.6967578.735708e-09
0.551.6966288.762300e-09
0.5503411.6966028.767731e-09
0.5523581.6964478.799871e-09
0.5543831.6962948.832130e-09
0.5564151.6961418.864506e-09
0.5584551.695998.897001e-09
0.5605021.695848.929615e-09
0.5625561.695698.962348e-09
0.5646191.6955428.995202e-09
0.5666881.6953959.028176e-09
0.5687651.6952499.061271e-09
0.570851.6951049.094487e-09
0.5729431.694969.127825e-09
0.5750431.6948179.161285e-09
0.5771511.6946759.194868e-09
0.5792671.6945349.228574e-09
0.581391.6943949.262404e-09
0.5835211.6942559.296357e-09
0.585661.6941179.330435e-09
0.5878071.6939799.364638e-09
0.5899611.6938439.398966e-09
0.5921241.6937089.433420e-09
0.5942951.6935739.468001e-09
0.5964731.693449.502708e-09
0.5986591.6933079.537542e-09
0.61.6932279.558900e-09
0.6008541.6931769.572496e-09
0.6030561.6930459.607564e-09
0.6052671.6929159.642761e-09
0.6074861.6927869.678087e-09
0.6097121.6926579.713542e-09
0.6119471.692539.749127e-09
0.6141911.6924049.784843e-09
0.6164421.6922789.820689e-09
0.6187021.6921539.856667e-09
0.620971.6920299.892777e-09
0.6232461.6919069.929019e-09
0.625531.6917839.965394e-09
0.6278231.6916621.000190e-08
0.6301251.6915411.003854e-08
0.6324341.6914211.007532e-08
0.6347531.6913011.011223e-08
0.6370791.6911831.014928e-08
0.6394151.6910651.018646e-08
0.6417591.6909481.022378e-08
0.6441111.6908321.026124e-08
0.6464721.6907161.029883e-08
0.6488421.6906011.033656e-08
0.651.6905451.035500e-08
0.651221.6904871.037445e-08
0.6536071.6903741.041250e-08
0.6560031.6902611.045069e-08
0.6584081.6901491.048902e-08
0.6608211.6900371.052749e-08
0.6632441.6899271.056610e-08
0.6656751.6898171.060486e-08
0.6681151.6897081.064375e-08
0.6705641.6895991.068279e-08
0.6730221.6894911.072197e-08
0.6754891.6893841.076130e-08
0.6779651.6892771.080077e-08
0.680451.6891711.084038e-08
0.6829451.6890651.088014e-08
0.6854481.688961.092004e-08
0.6879611.6888561.096009e-08
0.6904821.6887531.100029e-08
0.6930131.688651.104063e-08
0.6955541.6885471.108113e-08
0.6981031.6884451.112177e-08
0.71.688371.115200e-08
0.7006621.6883441.120482e-08
0.7032311.6882431.140965e-08
0.7058091.6881431.161523e-08
0.7083961.6880441.182156e-08
0.7109921.6879451.202865e-08
0.7135991.6878461.223649e-08
0.7162141.6877481.244510e-08
0.718841.6876511.265447e-08
0.7214751.6875541.286462e-08
0.7241191.6874581.307553e-08
0.7267741.6873621.328721e-08
0.7294381.6872671.349967e-08
0.7321121.6871721.371291e-08
0.7347951.6870781.392693e-08
0.7374891.6869841.414173e-08
0.7401921.6868911.435733e-08
0.7429051.6867981.457371e-08
0.7456291.6867061.479088e-08
0.7483621.6866141.500886e-08
0.7511051.6865231.522763e-08
0.7538581.6864321.544720e-08
0.7566221.6863411.566758e-08
0.7593951.6862511.588876e-08
0.7621791.6861621.611076e-08
0.7649731.6860721.633357e-08
0.7677771.6859841.655719e-08
0.7705911.6858961.678164e-08
0.7734161.6858081.700691e-08
0.7762511.685721.723300e-08
0.7790961.6856331.745993e-08
0.7819521.6855471.768768e-08
0.7848181.6854611.791627e-08
0.7876951.6853751.814570e-08
0.7905831.6852891.837597e-08
0.7934811.6852041.860708e-08
0.7963891.685121.883904e-08
0.7993091.6850361.907185e-08
0.81.6850161.912700e-08
0.8022381.6849521.932635e-08
0.8051791.6848681.958825e-08
0.8081311.6847851.985110e-08
0.8110931.6847022.011491e-08
0.8140661.684622.037969e-08
0.817051.6845382.064545e-08
0.8200451.6844562.091217e-08
0.8230511.6843752.117988e-08
0.8260681.6842932.144857e-08
0.8290961.6842132.171824e-08
0.8321351.6841322.198890e-08
0.8351861.6840522.226055e-08
0.8382471.6839722.253319e-08
0.841321.6838932.280684e-08
0.8444041.6838142.308149e-08
0.8474991.6837352.335715e-08
0.8506061.6836562.363381e-08
0.8537241.6835782.391150e-08
0.8568531.68352.419019e-08
0.8599941.6834222.446992e-08
0.8631461.6833452.475066e-08
0.866311.6832672.503244e-08
0.8694861.6831912.531524e-08
0.8726731.6831142.559909e-08
0.8758721.6830372.588397e-08
0.8790821.6829612.616990e-08
0.8823051.6828852.645688e-08
0.8855391.682812.674491e-08
0.8887851.6827342.703400e-08
0.8920431.6826592.732414e-08
0.8953131.6825842.761535e-08
0.8985951.6825092.790763e-08
0.9018891.6824352.820097e-08
0.9051951.6823612.849540e-08
0.9085131.6822872.879090e-08
0.9118431.6822132.908748e-08
0.9151861.6821392.938515e-08
0.918541.6820662.968392e-08
0.9219071.6819922.998378e-08
0.9252871.6819193.028473e-08
0.9286781.6818463.058680e-08
0.9320831.6817743.088996e-08
0.9354991.6817013.119424e-08
0.9389281.6816293.149964e-08
0.942371.6815573.180615e-08
0.9458241.6814853.211379e-08
0.9492911.6814133.242256e-08
0.9527711.6813413.273245e-08
0.9562641.6812693.304349e-08
0.9597691.6811983.335566e-08
0.9632871.6811273.366898e-08
0.9668181.6810563.398344e-08
0.9703621.6809853.429906e-08
0.9739191.6809143.461584e-08
0.9774891.6808433.493378e-08
0.9810721.6807733.525288e-08
0.9846681.6807023.557315e-08
0.9882781.6806323.589460e-08
0.9919011.6805623.621722e-08
0.9955361.6804913.654103e-08
0.9991861.6804213.686602e-08
1.002851.6803513.719221e-08
1.006521.6802823.751959e-08
1.010211.6802123.784817e-08
1.013921.6801423.817795e-08
1.017631.6800733.850895e-08
1.021361.6800033.884116e-08
1.025111.6799343.917458e-08
1.028871.6798653.950923e-08
1.032641.6797953.984510e-08
1.036421.6797264.018221e-08
1.040221.6796574.052055e-08
1.044031.6795884.086013e-08
1.047861.6795194.120096e-08
1.05171.679454.154303e-08
1.055561.6793814.188636e-08
1.059431.6793124.223095e-08
1.061.6793024.228200e-08
1.063311.6792434.268521e-08
1.067211.6791754.315998e-08
1.071121.6791064.363648e-08
1.075051.6790374.411473e-08
1.078991.6789684.459474e-08
1.082941.67894.507650e-08
1.086911.6788314.556003e-08
1.09091.6787624.604533e-08
1.094891.6786944.653242e-08
1.098911.6786254.702128e-08
1.102941.6785564.751194e-08
1.106981.6784874.800440e-08
1.111041.6784194.849866e-08
1.115111.678354.899474e-08
1.11921.6782814.949263e-08
1.12331.6782134.999235e-08
1.127421.6781445.049390e-08
1.131551.6780755.099729e-08
1.13571.6780065.150252e-08
1.139861.6779375.200961e-08
1.144041.6778695.251855e-08
1.148231.67785.302936e-08
1.152441.6777315.354204e-08
1.156671.6776625.405660e-08
1.160911.6775925.457305e-08
1.165161.6775235.509139e-08
1.169431.6774545.561163e-08
1.173721.6773855.613378e-08
1.178021.6773155.665784e-08
1.182341.6772465.718383e-08
1.186671.6771775.771174e-08
1.191021.6771075.824158e-08
1.195391.6770375.877337e-08
1.199771.6769675.930711e-08
1.204171.6768985.984280e-08
1.208581.6768286.038046e-08
1.213011.6767586.092009e-08
1.217461.6766876.146170e-08
1.221921.6766176.200529e-08
1.22641.6765476.255087e-08
1.23091.6764766.309846e-08
1.235411.6764066.364805e-08
1.239941.6763356.419966e-08
1.244481.6762646.475328e-08
1.249041.6761936.530894e-08
1.253621.6761226.586664e-08
1.258221.6760516.642638e-08
1.262831.6759796.698817e-08
1.267461.6759086.755202e-08
1.272111.6758366.811793e-08
1.276771.6757646.868592e-08
1.281451.6756926.925600e-08
1.286151.675626.982816e-08
1.290861.6755477.040242e-08
1.295591.6754757.097879e-08
1.300341.6754027.155726e-08
1.305111.6753297.213786e-08
1.309891.6752567.272059e-08
1.314691.6751837.330545e-08
1.319511.6751097.389246e-08
1.324351.6750367.448162e-08
1.32921.6749627.507294e-08
1.334081.6748887.566642e-08
1.338971.6748137.626208e-08
1.343881.6747397.685993e-08
1.34881.6746647.745996e-08
1.353751.6745897.806220e-08
1.358711.6745147.866664e-08
1.363691.6744397.927330e-08
1.368691.6743637.988218e-08
1.37371.6742878.049330e-08
1.378741.6742118.110665e-08
1.383791.6741358.172226e-08
1.388871.6740588.234011e-08
1.393961.6739818.296024e-08
1.399071.6739048.358264e-08
1.40421.6738278.420732e-08
1.409341.6737498.483428e-08
1.414511.6736718.546355e-08
1.419691.6735938.609512e-08
1.42491.6735148.672901e-08
1.430121.6734368.736523e-08
1.435361.6733578.800377e-08
1.440621.6732778.864466e-08
1.445911.6731988.928789e-08
1.451211.6731188.993348e-08
1.456521.6730379.058144e-08
1.461861.6729579.123177e-08
1.467221.6728769.188449e-08
1.47261.6727959.253960e-08
1.4781.6727139.319711e-08
1.483421.6726319.385704e-08
1.488851.6725499.451938e-08
1.494311.6724679.518415e-08
1.499791.6723849.585135e-08
1.51.6723819.587700e-08
1.505291.6723011.005105e-07
1.51081.6722171.053462e-07
1.516341.6721331.101997e-07
1.52191.6720491.150709e-07
1.527481.6719641.199600e-07
1.533081.6718791.248671e-07
1.53871.6717941.297921e-07
1.544341.6717081.347351e-07
1.551.6716221.396963e-07

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
—