Optical constants

Refractive index of K-LCV93(M) (SUMITA)

K-LCV93(M): 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
1.66355
Extinction coefficient k
3.12046e-08
Permittivity ε1
2.76738
Permittivity ε2
1.03820e-07
Absorption coefficient α
0.00667338 cm⁻¹
Penetration depth δ = λ/(2πk)
2.99698e+09 nm
Abbe number Vd
47.19
Chromatic dispersion dn/dλ
-0.0721494 µm⁻¹
Group index ng
1.70594
Group velocity dispersion
131.872 fs²/mm
Dispersion parameter D
-719.433 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(M) (SUMITA): K-LCV93(M)
sumita_k_lcv93_m = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-LCV93(M)", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_lcv93_m.range_nm)  # (360, 1550) nm
eps = sumita_k_lcv93_m.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=2.710346−0.012314299⁢λ2.0+0.019185803⁢λ−2.0+0.00080136306⁢λ−4.0−5.2048587×10-5⁢λ−6.0+3.7543007×10-6⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C12.710346
C2-0.012314299
C32.0
C40.019185803
C5-2.0
C60.00080136306
C7-4.0
C8-5.2048587e-05
C9-6.0
C103.7543007e-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
1.66355
Vd
47.2
glass code
665473
density
value: 3640
thermal expansion
value: 3e-06, temperature range: 243 343; value: 4.6e-06, temperature range: 293 573
dPgF
-0.0078
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(M) (SUMITA), K-LCV93(M): n and k versus wavelength
λ (µm)nk
0.361.7011468.378400e-07
0.361321.7006617.842014e-07
0.3626441.7001817.303661e-07
0.3639731.6997076.763335e-07
0.3653081.6992376.221028e-07
0.3666471.6987725.676734e-07
0.3679911.6983125.130444e-07
0.369341.6978564.582152e-07
0.371.6976354.313700e-07
0.3706931.6974054.198712e-07
0.3720521.6969593.973379e-07
0.3734161.6965173.747220e-07
0.3747851.6960793.520232e-07
0.3761591.6956463.292412e-07
0.3775371.6952173.063757e-07
0.3789211.6947932.834263e-07
0.381.6944662.655400e-07
0.380311.6943722.621509e-07
0.3817041.6939562.469290e-07
0.3831041.6935442.316514e-07
0.3845081.6931352.163177e-07
0.3859171.6927312.009278e-07
0.3873321.692331.854816e-07
0.3887521.6919341.699786e-07
0.391.6915891.563500e-07
0.3901771.6915411.554709e-07
0.3916071.6911521.483611e-07
0.3930431.6907661.412254e-07
0.3944831.6903851.340634e-07
0.3959291.6900061.268752e-07
0.3973811.6896321.196607e-07
0.3988371.689261.124197e-07
0.41.6889681.066400e-07
0.4002991.6888931.058799e-07
0.4017671.6885281.021531e-07
0.4032391.6881679.841268e-08
0.4047171.687819.465855e-08
0.4062011.6874559.089066e-08
0.407691.6871048.710896e-08
0.4091841.6867568.331339e-08
0.4106841.6864127.950391e-08
0.412191.686077.568047e-08
0.4137011.6857317.184302e-08
0.4152171.6853966.799149e-08
0.4167391.6850636.412585e-08
0.4182671.6847346.024604e-08
0.41981.6844075.635200e-08
0.421.6843655.584400e-08
0.4213391.6840845.366991e-08
0.4228831.6837635.116185e-08
0.4244331.6834454.864460e-08
0.4259891.683134.611812e-08
0.4275511.6828174.358238e-08
0.4291181.6825074.103735e-08
0.4306911.68223.848298e-08
0.432271.6818963.591926e-08
0.4338541.6815943.334613e-08
0.4354451.6812953.076357e-08
0.4370411.6809992.817155e-08
0.4386431.6807052.557003e-08
0.441.6804592.336600e-08
0.4402511.6804142.337931e-08
0.4418641.6801252.346500e-08
0.4434841.6798392.355101e-08
0.445111.6795552.363733e-08
0.4467411.6792732.372397e-08
0.4483791.6789942.381092e-08
0.4500231.6787172.389820e-08
0.4516721.6784432.398579e-08
0.4533281.6781712.407371e-08
0.454991.6779012.416194e-08
0.4566571.6776332.425051e-08
0.4583311.6773682.433939e-08
0.461.6771072.442800e-08
0.4600111.6771052.442860e-08
0.4616981.6768442.451814e-08
0.463391.6765852.460801e-08
0.4650891.6763292.469820e-08
0.4667931.6760752.478873e-08
0.4685051.6758222.487959e-08
0.4702221.6755722.497078e-08
0.4719461.6753242.506231e-08
0.4736751.6750782.515417e-08
0.4754121.6748342.524637e-08
0.4771541.6745912.533890e-08
0.4789041.6743512.543178e-08
0.481.6742022.549000e-08
0.4806591.6741132.552499e-08
0.4824211.6738772.561855e-08
0.4841891.6736432.571245e-08
0.4859641.673412.580670e-08
0.4877461.673182.590129e-08
0.4895331.6729512.599622e-08
0.4913281.6727242.609151e-08
0.4931291.6724992.618714e-08
0.4949361.6722762.628313e-08
0.4967511.6720552.637946e-08
0.4985721.6718352.647615e-08
0.51.6716652.655200e-08
0.5003991.6716172.657321e-08
0.5022331.6714012.667064e-08
0.5040741.6711872.676844e-08
0.5059221.6709742.686659e-08
0.5077771.6707632.696510e-08
0.5096381.6705542.706397e-08
0.5115061.6703462.716321e-08
0.5133811.670142.726281e-08
0.5152631.6699352.736277e-08
0.5171521.6697322.746310e-08
0.5190471.6695312.756380e-08
0.520951.6693312.766487e-08
0.522861.6691332.776631e-08
0.5247761.6689372.786812e-08
0.52671.6687422.797030e-08
0.5286311.6685482.807286e-08
0.5305681.6683562.817579e-08
0.5325131.6681652.827910e-08
0.5344651.6679762.838279e-08
0.5364241.6677892.848686e-08
0.5383911.6676022.859131e-08
0.5403641.6674182.869615e-08
0.5423451.6672342.880136e-08
0.5443331.6670522.890697e-08
0.5463281.6668722.901296e-08
0.5483311.6666922.911934e-08
0.551.6665452.920800e-08
0.5503411.6665142.922610e-08
0.5523581.6663382.933322e-08
0.5543831.6661632.944074e-08
0.5564151.6659892.954864e-08
0.5584551.6658162.965695e-08
0.5605021.6656452.976565e-08
0.5625561.6654752.987474e-08
0.5646191.6653062.998424e-08
0.5666881.6651393.009414e-08
0.5687651.6649733.020445e-08
0.570851.6648073.031515e-08
0.5729431.6646443.042626e-08
0.5750431.6644813.053778e-08
0.5771511.664323.064971e-08
0.5792671.664163.076205e-08
0.581391.6640013.087480e-08
0.5835211.6638433.098797e-08
0.585661.6636863.110155e-08
0.5878071.663533.121554e-08
0.5899611.6633763.132995e-08
0.5921241.6632233.144479e-08
0.5942951.663073.156004e-08
0.5964731.6629193.167572e-08
0.5986591.6627693.179182e-08
0.61.6626783.186300e-08
0.6008541.662623.190834e-08
0.6030561.6624723.202529e-08
0.6052671.6623253.214268e-08
0.6074861.662183.226049e-08
0.6097121.6620353.237873e-08
0.6119471.6618913.249741e-08
0.6141911.6617483.261652e-08
0.6164421.6616073.273607e-08
0.6187021.6614663.285606e-08
0.620971.6613263.297648e-08
0.6232461.6611873.309735e-08
0.625531.6610493.321866e-08
0.6278231.6609133.334042e-08
0.6301251.6607773.346262e-08
0.6324341.6606423.358527e-08
0.6347531.6605083.370837e-08
0.6370791.6603743.383192e-08
0.6394151.6602423.395592e-08
0.6417591.6601113.408038e-08
0.6441111.659983.420530e-08
0.6464721.6598513.433067e-08
0.6488421.6597223.445650e-08
0.651.659663.451800e-08
0.651221.6595943.458279e-08
0.6536071.6594673.470955e-08
0.6560031.6593413.483677e-08
0.6584081.6592163.496446e-08
0.6608211.6590913.509261e-08
0.6632441.6589683.522124e-08
0.6656751.6588453.535034e-08
0.6681151.6587233.547991e-08
0.6705641.6586023.560995e-08
0.6730221.6584813.574047e-08
0.6754891.6583613.587147e-08
0.6779651.6582433.600295e-08
0.680451.6581243.613491e-08
0.6829451.6580073.626736e-08
0.6854481.657893.640029e-08
0.6879611.6577743.653371e-08
0.6904821.6576593.666762e-08
0.6930131.6575453.680201e-08
0.6955541.6574313.693691e-08
0.6981031.6573183.707229e-08
0.71.6572353.717300e-08
0.7006621.6572063.720818e-08
0.7032311.6570943.734458e-08
0.7058091.6569833.748149e-08
0.7083961.6568733.761890e-08
0.7109921.6567633.775681e-08
0.7135991.6566543.789523e-08
0.7162141.6565463.803415e-08
0.718841.6564393.817358e-08
0.7214751.6563323.831353e-08
0.7241191.6562253.845398e-08
0.7267741.656123.859496e-08
0.7294381.6560143.873644e-08
0.7321121.655913.887845e-08
0.7347951.6558063.902098e-08
0.7374891.6557033.916403e-08
0.7401921.65563.930761e-08
0.7429051.6554983.945171e-08
0.7456291.6553973.959634e-08
0.7483621.6552963.974150e-08
0.7511051.6551953.988719e-08
0.7538581.6550964.003341e-08
0.7566221.6549964.018018e-08
0.7593951.6548984.032748e-08
0.7621791.6547994.047531e-08
0.7649731.6547024.062370e-08
0.7677771.6546054.077262e-08
0.7705911.6545084.092209e-08
0.7734161.6544124.107211e-08
0.7762511.6543174.122268e-08
0.7790961.6542224.137380e-08
0.7819521.6541274.152548e-08
0.7848181.6540334.167771e-08
0.7876951.653944.183050e-08
0.7905831.6538474.198385e-08
0.7934811.6537544.213776e-08
0.7963891.6536624.229223e-08
0.7993091.653574.244728e-08
0.81.6535494.248400e-08
0.8022381.6534794.260287e-08
0.8051791.6533884.275903e-08
0.8081311.6532984.291577e-08
0.8110931.6532084.307308e-08
0.8140661.6531194.323096e-08
0.817051.653034.338943e-08
0.8200451.6529414.354847e-08
0.8230511.6528534.370810e-08
0.8260681.6527654.386832e-08
0.8290961.6526784.402912e-08
0.8321351.6525914.419051e-08
0.8351861.6525044.435249e-08
0.8382471.6524184.451507e-08
0.841321.6523334.467824e-08
0.8444041.6522474.484201e-08
0.8474991.6521624.500638e-08
0.8506061.6520784.517135e-08
0.8537241.6519934.533693e-08
0.8568531.6519094.550311e-08
0.8599941.6518264.566991e-08
0.8631461.6517434.583731e-08
0.866311.651664.600533e-08
0.8694861.6515774.617396e-08
0.8726731.6514954.634322e-08
0.8758721.6514134.651309e-08
0.8790821.6513324.668358e-08
0.8823051.651254.685470e-08
0.8855391.6511694.702645e-08
0.8887851.6510894.719883e-08
0.8920431.6510094.737184e-08
0.8953131.6509294.754548e-08
0.8985951.6508494.771976e-08
0.9018891.6507694.789468e-08
0.9051951.650694.807024e-08
0.9085131.6506114.824645e-08
0.9118431.6505334.842330e-08
0.9151861.6504544.860079e-08
0.918541.6503764.877894e-08
0.9219071.6502994.895774e-08
0.9252871.6502214.913720e-08
0.9286781.6501444.931731e-08
0.9320831.6500674.949809e-08
0.9354991.649994.967953e-08
0.9389281.6499134.986163e-08
0.942371.6498375.004440e-08
0.9458241.6497615.022784e-08
0.9492911.6496855.041195e-08
0.9527711.6496095.059674e-08
0.9562641.6495345.078220e-08
0.9597691.6494595.096835e-08
0.9632871.6493845.115518e-08
0.9668181.6493095.134269e-08
0.9703621.6492345.153089e-08
0.9739191.649165.171978e-08
0.9774891.6490855.190936e-08
0.9810721.6490115.209963e-08
0.9846681.6489375.229061e-08
0.9882781.6488635.248228e-08
0.9919011.648795.267466e-08
0.9955361.6487165.286774e-08
0.9991861.6486435.306153e-08
1.002851.648575.325603e-08
1.006521.6484975.345124e-08
1.010211.6484245.364717e-08
1.013921.6483525.384382e-08
1.017631.6482795.404118e-08
1.021361.6482075.423927e-08
1.025111.6481345.443809e-08
1.028871.6480625.463764e-08
1.032641.647995.483791e-08
1.036421.6479185.503892e-08
1.040221.6478465.524067e-08
1.044031.6477755.544316e-08
1.047861.6477035.564639e-08
1.05171.6476325.585037e-08
1.055561.647565.605509e-08
1.059431.6474895.626056e-08
1.061.6474785.629100e-08
1.063311.6474185.646679e-08
1.067211.6473475.667377e-08
1.071121.6472765.688152e-08
1.075051.6472055.709002e-08
1.078991.6471345.729929e-08
1.082941.6470635.750933e-08
1.086911.6469925.772013e-08
1.09091.6469215.793171e-08
1.094891.6468515.814407e-08
1.098911.646785.835720e-08
1.102941.6467095.857112e-08
1.106981.6466395.878581e-08
1.111041.6465685.900130e-08
1.115111.6464985.921758e-08
1.11921.6464285.943464e-08
1.12331.6463575.965251e-08
1.127421.6462875.987117e-08
1.131551.6462166.009063e-08
1.13571.6461466.031090e-08
1.139861.6460766.053198e-08
1.144041.6460056.075386e-08
1.148231.6459356.097656e-08
1.152441.6458656.120008e-08
1.156671.6457946.142442e-08
1.160911.6457246.164957e-08
1.165161.6456536.187556e-08
1.169431.6455836.210237e-08
1.173721.6455136.233001e-08
1.178021.6454426.255849e-08
1.182341.6453726.278780e-08
1.186671.6453016.301796e-08
1.191021.6452316.324896e-08
1.195391.645166.348080e-08
1.199771.6450896.371350e-08
1.204171.6450196.394705e-08
1.208581.6449486.418145e-08
1.213011.6448776.441671e-08
1.217461.6448066.465284e-08
1.221921.6447356.488983e-08
1.22641.6446646.512769e-08
1.23091.6445936.536642e-08
1.235411.6445226.560603e-08
1.239941.6444516.584652e-08
1.244481.6443796.608788e-08
1.249041.6443086.633014e-08
1.253621.6442366.657328e-08
1.258221.6441656.681731e-08
1.262831.6440936.706223e-08
1.267461.6440216.730806e-08
1.272111.6439496.755478e-08
1.276771.6438776.780241e-08
1.281451.6438056.805095e-08
1.286151.6437326.830040e-08
1.290861.643666.855076e-08
1.295591.6435876.880204e-08
1.300341.6435156.905424e-08
1.305111.6434426.930737e-08
1.309891.6433696.956142e-08
1.314691.6432966.981640e-08
1.319511.6432227.007232e-08
1.324351.6431497.032918e-08
1.32921.6430757.058698e-08
1.334081.6430017.084572e-08
1.338971.6429277.110542e-08
1.343881.6428537.136606e-08
1.34881.6427797.162766e-08
1.353751.6427047.189022e-08
1.358711.642637.215374e-08
1.363691.6425557.241823e-08
1.368691.642487.268368e-08
1.37371.6424057.295011e-08
1.378741.6423297.321752e-08
1.383791.6422537.348591e-08
1.388871.6421787.375528e-08
1.393961.6421017.402563e-08
1.399071.6420257.429698e-08
1.40421.6419497.456933e-08
1.409341.6418727.484267e-08
1.414511.6417957.511701e-08
1.419691.6417177.539236e-08
1.42491.641647.566872e-08
1.430121.6415627.594609e-08
1.435361.6414847.622448e-08
1.440621.6414067.650389e-08
1.445911.6413287.678432e-08
1.451211.6412497.706578e-08
1.456521.641177.734828e-08
1.461861.641097.763180e-08
1.467221.6410117.791637e-08
1.47261.6409317.820198e-08
1.4781.6408517.848864e-08
1.483421.640777.877635e-08
1.488851.640697.906511e-08
1.494311.6406097.935493e-08
1.499791.6405277.964582e-08
1.51.6405247.965700e-08
1.505291.6404468.445273e-08
1.51081.6403648.945774e-08
1.516341.6402829.448110e-08
1.52191.6401999.952287e-08
1.527481.6401161.045831e-07
1.533081.6400331.096619e-07
1.53871.6399491.147593e-07
1.544341.6398651.198754e-07
1.551.6397811.250103e-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
—