Optical constants

Refractive index of K-LCV93 (SUMITA)

K-LCV93: 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
1.6652
Extinction coefficient k
3.12046e-08
Permittivity ε1
2.77288
Permittivity ε2
1.03923e-07
Absorption coefficient α
0.00667338 cm⁻¹
Penetration depth δ = λ/(2πk)
2.99698e+09 nm
Abbe number Vd
47.312
Chromatic dispersion dn/dλ
-0.0721329 µm⁻¹
Group index ng
1.70758
Group velocity dispersion
131.87 fs²/mm
Dispersion parameter D
-719.421 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-LCV93 (SUMITA): K-LCV93
sumita_k_lcv93 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-LCV93", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_lcv93.range_nm)  # (360, 1550) nm
eps = sumita_k_lcv93.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=2.7157014−0.012306139⁢λ2.0+0.019299156⁢λ−2.0+0.00076108019⁢λ−4.0−4.4909824×10-5⁢λ−6.0+3.3413499×10-6⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C12.7157014
C2-0.012306139
C32.0
C40.019299156
C5-2.0
C60.00076108019
C7-4.0
C8-4.4909824e-05
C9-6.0
C103.3413499e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 2.14e-05 1.46e-08 -1.89e-10 7.2e-07 9.27e-10 0.225
nd
1.66520
Vd
47.3
glass code
665473
density
value: 3640
thermal expansion
value: 3e-06, temperature range: 243 343; value: 4.6e-06, temperature range: 293 573
dPgF
-0.0076
resistance
acid: 4.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.24e-05 K⁻¹ at 633 nm, dn/dT = 1.13e-05 K⁻¹ at 1310 nm, dn/dT = 1.12e-05 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-LCV93 (SUMITA), K-LCV93: n and k versus wavelength
λ (µm)nk
0.361.7028058.378400e-07
0.361321.7023217.842014e-07
0.3626441.7018417.303661e-07
0.3639731.7013676.763335e-07
0.3653081.7008976.221028e-07
0.3666471.7004325.676734e-07
0.3679911.6999725.130444e-07
0.369341.6995174.582152e-07
0.371.6992964.313700e-07
0.3706931.6990664.198712e-07
0.3720521.698623.973379e-07
0.3734161.6981783.747220e-07
0.3747851.697743.520232e-07
0.3761591.6973073.292412e-07
0.3775371.6968783.063757e-07
0.3789211.6964542.834263e-07
0.381.6961262.655400e-07
0.380311.6960332.621509e-07
0.3817041.6956162.469290e-07
0.3831041.6952042.316514e-07
0.3845081.6947962.163177e-07
0.3859171.6943912.009278e-07
0.3873321.693991.854816e-07
0.3887521.6935941.699786e-07
0.391.6932491.563500e-07
0.3901771.6932011.554709e-07
0.3916071.6928111.483611e-07
0.3930431.6924261.412254e-07
0.3944831.6920441.340634e-07
0.3959291.6916651.268752e-07
0.3973811.691291.196607e-07
0.3988371.6909191.124197e-07
0.41.6906261.066400e-07
0.4002991.6905511.058799e-07
0.4017671.6901861.021531e-07
0.4032391.6898259.841268e-08
0.4047171.6894679.465855e-08
0.4062011.6891139.089066e-08
0.407691.6887618.710896e-08
0.4091841.6884138.331339e-08
0.4106841.6880687.950391e-08
0.412191.6877267.568047e-08
0.4137011.6873887.184302e-08
0.4152171.6870526.799149e-08
0.4167391.6867196.412585e-08
0.4182671.6863896.024604e-08
0.41981.6860635.635200e-08
0.421.686025.584400e-08
0.4213391.6857395.366991e-08
0.4228831.6854185.116185e-08
0.4244331.6850994.864460e-08
0.4259891.6847844.611812e-08
0.4275511.6844714.358238e-08
0.4291181.6841614.103735e-08
0.4306911.6838543.848298e-08
0.432271.683553.591926e-08
0.4338541.6832483.334613e-08
0.4354451.6829493.076357e-08
0.4370411.6826522.817155e-08
0.4386431.6823582.557003e-08
0.441.6821122.336600e-08
0.4402511.6820672.337931e-08
0.4418641.6817772.346500e-08
0.4434841.6814912.355101e-08
0.445111.6812072.363733e-08
0.4467411.6809252.372397e-08
0.4483791.6806462.381092e-08
0.4500231.6803692.389820e-08
0.4516721.6800942.398579e-08
0.4533281.6798222.407371e-08
0.454991.6795522.416194e-08
0.4566571.6792852.425051e-08
0.4583311.6790192.433939e-08
0.461.6787582.442800e-08
0.4600111.6787562.442860e-08
0.4616981.6784952.451814e-08
0.463391.6782362.460801e-08
0.4650891.677982.469820e-08
0.4667931.6777252.478873e-08
0.4685051.6774732.487959e-08
0.4702221.6772222.497078e-08
0.4719461.6769742.506231e-08
0.4736751.6767282.515417e-08
0.4754121.6764842.524637e-08
0.4771541.6762422.533890e-08
0.4789041.6760012.543178e-08
0.481.6758522.549000e-08
0.4806591.6757632.552499e-08
0.4824211.6755272.561855e-08
0.4841891.6752932.571245e-08
0.4859641.675062.580670e-08
0.4877461.6748292.590129e-08
0.4895331.6746012.599622e-08
0.4913281.6743742.609151e-08
0.4931291.6741492.618714e-08
0.4949361.6739262.628313e-08
0.4967511.6737042.637946e-08
0.4985721.6734852.647615e-08
0.51.6733142.655200e-08
0.5003991.6732672.657321e-08
0.5022331.6730512.667064e-08
0.5040741.6728362.676844e-08
0.5059221.6726232.686659e-08
0.5077771.6724122.696510e-08
0.5096381.6722032.706397e-08
0.5115061.6719952.716321e-08
0.5133811.6717892.726281e-08
0.5152631.6715852.736277e-08
0.5171521.6713822.746310e-08
0.5190471.671182.756380e-08
0.520951.6709812.766487e-08
0.522861.6707832.776631e-08
0.5247761.6705862.786812e-08
0.52671.6703912.797030e-08
0.5286311.6701972.807286e-08
0.5305681.6700052.817579e-08
0.5325131.6698152.827910e-08
0.5344651.6696262.838279e-08
0.5364241.6694382.848686e-08
0.5383911.6692522.859131e-08
0.5403641.6690672.869615e-08
0.5423451.6688842.880136e-08
0.5443331.6687022.890697e-08
0.5463281.6685212.901296e-08
0.5483311.6683422.911934e-08
0.551.6681942.920800e-08
0.5503411.6681642.922610e-08
0.5523581.6679882.933322e-08
0.5543831.6678122.944074e-08
0.5564151.6676392.954864e-08
0.5584551.6674662.965695e-08
0.5605021.6672952.976565e-08
0.5625561.6671252.987474e-08
0.5646191.6669562.998424e-08
0.5666881.6667893.009414e-08
0.5687651.6666223.020445e-08
0.570851.6664573.031515e-08
0.5729431.6662943.042626e-08
0.5750431.6661313.053778e-08
0.5771511.665973.064971e-08
0.5792671.665813.076205e-08
0.581391.6656513.087480e-08
0.5835211.6654933.098797e-08
0.585661.6653363.110155e-08
0.5878071.6651813.121554e-08
0.5899611.6650263.132995e-08
0.5921241.6648733.144479e-08
0.5942951.6647213.156004e-08
0.5964731.664573.167572e-08
0.5986591.664423.179182e-08
0.61.6643283.186300e-08
0.6008541.6642713.190834e-08
0.6030561.6641233.202529e-08
0.6052671.6639763.214268e-08
0.6074861.663833.226049e-08
0.6097121.6636853.237873e-08
0.6119471.6635423.249741e-08
0.6141911.6633993.261652e-08
0.6164421.6632573.273607e-08
0.6187021.6631173.285606e-08
0.620971.6629773.297648e-08
0.6232461.6628383.309735e-08
0.625531.66273.321866e-08
0.6278231.6625633.334042e-08
0.6301251.6624273.346262e-08
0.6324341.6622933.358527e-08
0.6347531.6621583.370837e-08
0.6370791.6620253.383192e-08
0.6394151.6618933.395592e-08
0.6417591.6617623.408038e-08
0.6441111.6616313.420530e-08
0.6464721.6615023.433067e-08
0.6488421.6613733.445650e-08
0.651.6613113.451800e-08
0.651221.6612453.458279e-08
0.6536071.6611183.470955e-08
0.6560031.6609923.483677e-08
0.6584081.6608673.496446e-08
0.6608211.6607433.509261e-08
0.6632441.6606193.522124e-08
0.6656751.6604963.535034e-08
0.6681151.6603743.547991e-08
0.6705641.6602533.560995e-08
0.6730221.6601323.574047e-08
0.6754891.6600133.587147e-08
0.6779651.6598943.600295e-08
0.680451.6597763.613491e-08
0.6829451.6596583.626736e-08
0.6854481.6595423.640029e-08
0.6879611.6594263.653371e-08
0.6904821.6593113.666762e-08
0.6930131.6591963.680201e-08
0.6955541.6590833.693691e-08
0.6981031.658973.707229e-08
0.71.6588863.717300e-08
0.7006621.6588573.720818e-08
0.7032311.6587463.734458e-08
0.7058091.6586353.748149e-08
0.7083961.6585243.761890e-08
0.7109921.6584153.775681e-08
0.7135991.6583063.789523e-08
0.7162141.6581983.803415e-08
0.718841.658093.817358e-08
0.7214751.6579833.831353e-08
0.7241191.6578773.845398e-08
0.7267741.6577713.859496e-08
0.7294381.6576663.873644e-08
0.7321121.6575623.887845e-08
0.7347951.6574583.902098e-08
0.7374891.6573543.916403e-08
0.7401921.6572523.930761e-08
0.7429051.657153.945171e-08
0.7456291.6570483.959634e-08
0.7483621.6569473.974150e-08
0.7511051.6568473.988719e-08
0.7538581.6567474.003341e-08
0.7566221.6566484.018018e-08
0.7593951.6565494.032748e-08
0.7621791.6564514.047531e-08
0.7649731.6563534.062370e-08
0.7677771.6562564.077262e-08
0.7705911.656164.092209e-08
0.7734161.6560644.107211e-08
0.7762511.6559684.122268e-08
0.7790961.6558734.137380e-08
0.7819521.6557794.152548e-08
0.7848181.6556854.167771e-08
0.7876951.6555914.183050e-08
0.7905831.6554984.198385e-08
0.7934811.6554054.213776e-08
0.7963891.6553134.229223e-08
0.7993091.6552224.244728e-08
0.81.65524.248400e-08
0.8022381.655134.260287e-08
0.8051791.655044.275903e-08
0.8081311.6549494.291577e-08
0.8110931.6548594.307308e-08
0.8140661.654774.323096e-08
0.817051.6546814.338943e-08
0.8200451.6545924.354847e-08
0.8230511.6545044.370810e-08
0.8260681.6544174.386832e-08
0.8290961.6543294.402912e-08
0.8321351.6542424.419051e-08
0.8351861.6541564.435249e-08
0.8382471.654074.451507e-08
0.841321.6539844.467824e-08
0.8444041.6538984.484201e-08
0.8474991.6538134.500638e-08
0.8506061.6537294.517135e-08
0.8537241.6536444.533693e-08
0.8568531.653564.550311e-08
0.8599941.6534774.566991e-08
0.8631461.6533944.583731e-08
0.866311.6533114.600533e-08
0.8694861.6532284.617396e-08
0.8726731.6531464.634322e-08
0.8758721.6530644.651309e-08
0.8790821.6529834.668358e-08
0.8823051.6529014.685470e-08
0.8855391.652824.702645e-08
0.8887851.652744.719883e-08
0.8920431.6526594.737184e-08
0.8953131.6525794.754548e-08
0.8985951.65254.771976e-08
0.9018891.652424.789468e-08
0.9051951.6523414.807024e-08
0.9085131.6522624.824645e-08
0.9118431.6521844.842330e-08
0.9151861.6521054.860079e-08
0.918541.6520274.877894e-08
0.9219071.6519494.895774e-08
0.9252871.6518724.913720e-08
0.9286781.6517944.931731e-08
0.9320831.6517174.949809e-08
0.9354991.651644.967953e-08
0.9389281.6515644.986163e-08
0.942371.6514875.004440e-08
0.9458241.6514115.022784e-08
0.9492911.6513355.041195e-08
0.9527711.651265.059674e-08
0.9562641.6511845.078220e-08
0.9597691.6511095.096835e-08
0.9632871.6510345.115518e-08
0.9668181.6509595.134269e-08
0.9703621.6508845.153089e-08
0.9739191.650815.171978e-08
0.9774891.6507355.190936e-08
0.9810721.6506615.209963e-08
0.9846681.6505875.229061e-08
0.9882781.6505145.248228e-08
0.9919011.650445.267466e-08
0.9955361.6503675.286774e-08
0.9991861.6502935.306153e-08
1.002851.650225.325603e-08
1.006521.6501475.345124e-08
1.010211.6500745.364717e-08
1.013921.6500025.384382e-08
1.017631.6499295.404118e-08
1.021361.6498575.423927e-08
1.025111.6497845.443809e-08
1.028871.6497125.463764e-08
1.032641.649645.483791e-08
1.036421.6495685.503892e-08
1.040221.6494965.524067e-08
1.044031.6494255.544316e-08
1.047861.6493535.564639e-08
1.05171.6492815.585037e-08
1.055561.649215.605509e-08
1.059431.6491395.626056e-08
1.061.6491285.629100e-08
1.063311.6490675.646679e-08
1.067211.6489965.667377e-08
1.071121.6489255.688152e-08
1.075051.6488545.709002e-08
1.078991.6487835.729929e-08
1.082941.6487125.750933e-08
1.086911.6486425.772013e-08
1.09091.6485715.793171e-08
1.094891.64855.814407e-08
1.098911.648435.835720e-08
1.102941.6483595.857112e-08
1.106981.6482885.878581e-08
1.111041.6482185.900130e-08
1.115111.6481475.921758e-08
1.11921.6480775.943464e-08
1.12331.6480065.965251e-08
1.127421.6479365.987117e-08
1.131551.6478666.009063e-08
1.13571.6477956.031090e-08
1.139861.6477256.053198e-08
1.144041.6476556.075386e-08
1.148231.6475846.097656e-08
1.152441.6475146.120008e-08
1.156671.6474436.142442e-08
1.160911.6473736.164957e-08
1.165161.6473036.187556e-08
1.169431.6472326.210237e-08
1.173721.6471626.233001e-08
1.178021.6470916.255849e-08
1.182341.6470216.278780e-08
1.186671.646956.301796e-08
1.191021.646886.324896e-08
1.195391.6468096.348080e-08
1.199771.6467386.371350e-08
1.204171.6466686.394705e-08
1.208581.6465976.418145e-08
1.213011.6465266.441671e-08
1.217461.6464556.465284e-08
1.221921.6463846.488983e-08
1.22641.6463136.512769e-08
1.23091.6462426.536642e-08
1.235411.6461716.560603e-08
1.239941.64616.584652e-08
1.244481.6460286.608788e-08
1.249041.6459576.633014e-08
1.253621.6458856.657328e-08
1.258221.6458146.681731e-08
1.262831.6457426.706223e-08
1.267461.645676.730806e-08
1.272111.6455986.755478e-08
1.276771.6455266.780241e-08
1.281451.6454546.805095e-08
1.286151.6453826.830040e-08
1.290861.6453096.855076e-08
1.295591.6452376.880204e-08
1.300341.6451646.905424e-08
1.305111.6450916.930737e-08
1.309891.6450186.956142e-08
1.314691.6449456.981640e-08
1.319511.6448727.007232e-08
1.324351.6447987.032918e-08
1.32921.6447247.058698e-08
1.334081.6446517.084572e-08
1.338971.6445777.110542e-08
1.343881.6445037.136606e-08
1.34881.6444287.162766e-08
1.353751.6443547.189022e-08
1.358711.6442797.215374e-08
1.363691.6442047.241823e-08
1.368691.6441297.268368e-08
1.37371.6440547.295011e-08
1.378741.6439787.321752e-08
1.383791.6439037.348591e-08
1.388871.6438277.375528e-08
1.393961.6437517.402563e-08
1.399071.6436757.429698e-08
1.40421.6435987.456933e-08
1.409341.6435217.484267e-08
1.414511.6434447.511701e-08
1.419691.6433677.539236e-08
1.42491.643297.566872e-08
1.430121.6432127.594609e-08
1.435361.6431347.622448e-08
1.440621.6430567.650389e-08
1.445911.6429777.678432e-08
1.451211.6428997.706578e-08
1.456521.642827.734828e-08
1.461861.642747.763180e-08
1.467221.6426617.791637e-08
1.47261.6425817.820198e-08
1.4781.6425017.848864e-08
1.483421.642427.877635e-08
1.488851.642347.906511e-08
1.494311.6422597.935493e-08
1.499791.6421777.964582e-08
1.51.6421747.965700e-08
1.505291.6420968.445273e-08
1.51081.6420148.945774e-08
1.516341.6419329.448110e-08
1.52191.6418499.952287e-08
1.527481.6417661.045831e-07
1.533081.6416831.096619e-07
1.53871.64161.147593e-07
1.544341.6415161.198754e-07
1.551.6414321.250103e-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
—