Optical constants

Refractive index of K-LaFK65 (SUMITA)

K-LaFK65: 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
1.6567
Extinction coefficient k
3.12046e-08
Permittivity ε1
2.74466
Permittivity ε2
1.03393e-07
Absorption coefficient α
0.00667338 cm⁻¹
Penetration depth δ = λ/(2πk)
2.99698e+09 nm
Abbe number Vd
62.286
Chromatic dispersion dn/dλ
-0.0544951 µm⁻¹
Group index ng
1.68872
Group velocity dispersion
94.7055 fs²/mm
Dispersion parameter D
-516.669 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-LaFK65 (SUMITA): K-LaFK65
sumita_k_lafk65 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-LaFK65", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_lafk65.range_nm)  # (360, 1550) nm
eps = sumita_k_lafk65.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=2.7016579−0.011617767⁢λ2.0+0.015597681⁢λ−2.0+0.00019111207⁢λ−4.0+1.132323×10-5⁢λ−6.0−5.9630893×10-7⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C12.7016579
C2-0.011617767
C32.0
C40.015597681
C5-2.0
C60.00019111207
C7-4.0
C81.132323e-05
C9-6.0
C10-5.9630893e-07
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -7.58e-06 9.42e-09 -3.47e-11 3.97e-07 4.24e-10 0.182
nd
1.65670
Vd
62.3
glass code
657623
density
value: 4360
thermal expansion
value: 8.1e-06, temperature range: 243 343; value: 1.03e-05, temperature range: 293 573
dPgF
0.0026
resistance
acid: 5.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -3.41e-06 K⁻¹ at 633 nm, dn/dT = -3.79e-06 K⁻¹ at 1310 nm, dn/dT = -3.80e-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-LaFK65 (SUMITA), K-LaFK65: n and k versus wavelength
λ (µm)nk
0.361.6837372.319800e-07
0.361321.6834092.209414e-07
0.3626441.6830832.098623e-07
0.3639731.682761.987426e-07
0.3653081.682441.875821e-07
0.3666471.6821221.763807e-07
0.3679911.6818071.651383e-07
0.369341.6814951.538546e-07
0.371.6813431.483300e-07
0.3706931.6811851.436587e-07
0.3720521.6808781.345047e-07
0.3734161.6805731.253172e-07
0.3747851.6802711.160960e-07
0.3761591.6799711.068411e-07
0.3775371.6796749.755214e-08
0.3789211.6793798.822917e-08
0.381.6791528.096300e-08
0.380311.6790878.070560e-08
0.3817041.6787977.954949e-08
0.3831041.678517.838915e-08
0.3845081.6782257.722456e-08
0.3859171.6779427.605569e-08
0.3873321.6776627.488255e-08
0.3887521.6773847.370510e-08
0.391.6771427.267000e-08
0.3901771.6771087.232540e-08
0.3916071.6768346.953858e-08
0.3930431.6765636.674154e-08
0.3944831.6762946.393426e-08
0.3959291.6760276.111668e-08
0.3973811.6757625.828877e-08
0.3988371.67555.545050e-08
0.41.6752925.318500e-08
0.4002991.6752395.289002e-08
0.4017671.6749815.144380e-08
0.4032391.6747254.999229e-08
0.4047171.6744714.853545e-08
0.4062011.6742194.707328e-08
0.407691.6739694.560574e-08
0.4091841.6737214.413283e-08
0.4106841.6734754.265451e-08
0.412191.6732314.117078e-08
0.4137011.6729893.968161e-08
0.4152171.6727493.818698e-08
0.4167391.6725113.668687e-08
0.4182671.6722753.518126e-08
0.41981.6720413.367014e-08
0.421.6720113.347300e-08
0.4213391.6718093.279643e-08
0.4228831.6715783.201594e-08
0.4244331.671353.123258e-08
0.4259891.6711233.044635e-08
0.4275511.6708982.965724e-08
0.4291181.6706752.886524e-08
0.4306911.6704532.807033e-08
0.432271.6702342.727251e-08
0.4338541.6700162.647177e-08
0.4354451.66982.566809e-08
0.4370411.6695852.486146e-08
0.4386431.6693732.405188e-08
0.441.6691942.336600e-08
0.4402511.6691622.337931e-08
0.4418641.6689522.346500e-08
0.4434841.6687452.355101e-08
0.445111.6685392.363733e-08
0.4467411.6683342.372397e-08
0.4483791.6681312.381092e-08
0.4500231.667932.389820e-08
0.4516721.6677312.398579e-08
0.4533281.6675332.407371e-08
0.454991.6673362.416194e-08
0.4566571.6671412.425051e-08
0.4583311.6669482.433939e-08
0.461.6667572.442800e-08
0.4600111.6667562.442860e-08
0.4616981.6665652.451814e-08
0.463391.6663762.460801e-08
0.4650891.6661892.469820e-08
0.4667931.6660032.478873e-08
0.4685051.6658182.487959e-08
0.4702221.6656352.497078e-08
0.4719461.6654532.506231e-08
0.4736751.6652732.515417e-08
0.4754121.6650942.524637e-08
0.4771541.6649162.533890e-08
0.4789041.664742.543178e-08
0.481.664632.549000e-08
0.4806591.6645652.552499e-08
0.4824211.6643912.561855e-08
0.4841891.6642192.571245e-08
0.4859641.6640482.580670e-08
0.4877461.6638782.590129e-08
0.4895331.663712.599622e-08
0.4913281.6635432.609151e-08
0.4931291.6633772.618714e-08
0.4949361.6632122.628313e-08
0.4967511.6630492.637946e-08
0.4985721.6628872.647615e-08
0.51.6627612.655200e-08
0.5003991.6627262.657321e-08
0.5022331.6625662.667064e-08
0.5040741.6624082.676844e-08
0.5059221.662252.686659e-08
0.5077771.6620942.696510e-08
0.5096381.6619392.706397e-08
0.5115061.6617852.716321e-08
0.5133811.6616332.726281e-08
0.5152631.6614812.736277e-08
0.5171521.661332.746310e-08
0.5190471.6611812.756380e-08
0.520951.6610332.766487e-08
0.522861.6608862.776631e-08
0.5247761.6607392.786812e-08
0.52671.6605942.797030e-08
0.5286311.660452.807286e-08
0.5305681.6603072.817579e-08
0.5325131.6601652.827910e-08
0.5344651.6600242.838279e-08
0.5364241.6598852.848686e-08
0.5383911.6597462.859131e-08
0.5403641.6596082.869615e-08
0.5423451.6594712.880136e-08
0.5443331.6593352.890697e-08
0.5463281.65922.901296e-08
0.5483311.6590662.911934e-08
0.551.6589552.920800e-08
0.5503411.6589332.922610e-08
0.5523581.6588012.933322e-08
0.5543831.6586692.944074e-08
0.5564151.6585392.954864e-08
0.5584551.658412.965695e-08
0.5605021.6582812.976565e-08
0.5625561.6581542.987474e-08
0.5646191.6580272.998424e-08
0.5666881.6579013.009414e-08
0.5687651.6577763.020445e-08
0.570851.6576523.031515e-08
0.5729431.6575293.042626e-08
0.5750431.6574073.053778e-08
0.5771511.6572853.064971e-08
0.5792671.6571643.076205e-08
0.581391.6570443.087480e-08
0.5835211.6569253.098797e-08
0.585661.6568073.110155e-08
0.5878071.656693.121554e-08
0.5899611.6565733.132995e-08
0.5921241.6564573.144479e-08
0.5942951.6563423.156004e-08
0.5964731.6562273.167572e-08
0.5986591.6561143.179182e-08
0.61.6560453.186300e-08
0.6008541.6560013.190834e-08
0.6030561.6558893.202529e-08
0.6052671.6557773.214268e-08
0.6074861.6556673.226049e-08
0.6097121.6555573.237873e-08
0.6119471.6554483.249741e-08
0.6141911.6553393.261652e-08
0.6164421.6552313.273607e-08
0.6187021.6551243.285606e-08
0.620971.6550183.297648e-08
0.6232461.6549123.309735e-08
0.625531.6548073.321866e-08
0.6278231.6547033.334042e-08
0.6301251.6545993.346262e-08
0.6324341.6544963.358527e-08
0.6347531.6543933.370837e-08
0.6370791.6542913.383192e-08
0.6394151.654193.395592e-08
0.6417591.654093.408038e-08
0.6441111.653993.420530e-08
0.6464721.6538913.433067e-08
0.6488421.6537923.445650e-08
0.651.6537443.451800e-08
0.651221.6536943.458279e-08
0.6536071.6535963.470955e-08
0.6560031.6534993.483677e-08
0.6584081.6534033.496446e-08
0.6608211.6533073.509261e-08
0.6632441.6532123.522124e-08
0.6656751.6531173.535034e-08
0.6681151.6530233.547991e-08
0.6705641.652933.560995e-08
0.6730221.6528373.574047e-08
0.6754891.6527443.587147e-08
0.6779651.6526533.600295e-08
0.680451.6525613.613491e-08
0.6829451.652473.626736e-08
0.6854481.652383.640029e-08
0.6879611.652293.653371e-08
0.6904821.6522013.666762e-08
0.6930131.6521123.680201e-08
0.6955541.6520243.693691e-08
0.6981031.6519363.707229e-08
0.71.6518713.717300e-08
0.7006621.6518493.720818e-08
0.7032311.6517623.734458e-08
0.7058091.6516763.748149e-08
0.7083961.651593.761890e-08
0.7109921.6515043.775681e-08
0.7135991.6514193.789523e-08
0.7162141.6513353.803415e-08
0.718841.6512513.817358e-08
0.7214751.6511673.831353e-08
0.7241191.6510843.845398e-08
0.7267741.6510013.859496e-08
0.7294381.6509193.873644e-08
0.7321121.6508373.887845e-08
0.7347951.6507563.902098e-08
0.7374891.6506753.916403e-08
0.7401921.6505943.930761e-08
0.7429051.6505143.945171e-08
0.7456291.6504343.959634e-08
0.7483621.6503543.974150e-08
0.7511051.6502753.988719e-08
0.7538581.6501974.003341e-08
0.7566221.6501184.018018e-08
0.7593951.6500414.032748e-08
0.7621791.6499634.047531e-08
0.7649731.6498864.062370e-08
0.7677771.6498094.077262e-08
0.7705911.6497334.092209e-08
0.7734161.6496564.107211e-08
0.7762511.6495814.122268e-08
0.7790961.6495054.137380e-08
0.7819521.649434.152548e-08
0.7848181.6493554.167771e-08
0.7876951.6492814.183050e-08
0.7905831.6492074.198385e-08
0.7934811.6491334.213776e-08
0.7963891.649064.229223e-08
0.7993091.6489874.244728e-08
0.81.6489694.248400e-08
0.8022381.6489144.260287e-08
0.8051791.6488414.275903e-08
0.8081311.6487694.291577e-08
0.8110931.6486974.307308e-08
0.8140661.6486264.323096e-08
0.817051.6485544.338943e-08
0.8200451.6484834.354847e-08
0.8230511.6484124.370810e-08
0.8260681.6483424.386832e-08
0.8290961.6482724.402912e-08
0.8321351.6482024.419051e-08
0.8351861.6481324.435249e-08
0.8382471.6480624.451507e-08
0.841321.6479934.467824e-08
0.8444041.6479244.484201e-08
0.8474991.6478564.500638e-08
0.8506061.6477874.517135e-08
0.8537241.6477194.533693e-08
0.8568531.6476514.550311e-08
0.8599941.6475834.566991e-08
0.8631461.6475164.583731e-08
0.866311.6474484.600533e-08
0.8694861.6473814.617396e-08
0.8726731.6473144.634322e-08
0.8758721.6472484.651309e-08
0.8790821.6471814.668358e-08
0.8823051.6471154.685470e-08
0.8855391.6470494.702645e-08
0.8887851.6469834.719883e-08
0.8920431.6469184.737184e-08
0.8953131.6468524.754548e-08
0.8985951.6467874.771976e-08
0.9018891.6467224.789468e-08
0.9051951.6466574.807024e-08
0.9085131.6465924.824645e-08
0.9118431.6465274.842330e-08
0.9151861.6464634.860079e-08
0.918541.6463994.877894e-08
0.9219071.6463354.895774e-08
0.9252871.6462714.913720e-08
0.9286781.6462074.931731e-08
0.9320831.6461434.949809e-08
0.9354991.646084.967953e-08
0.9389281.6460164.986163e-08
0.942371.6459535.004440e-08
0.9458241.645895.022784e-08
0.9492911.6458275.041195e-08
0.9527711.6457645.059674e-08
0.9562641.6457025.078220e-08
0.9597691.6456395.096835e-08
0.9632871.6455775.115518e-08
0.9668181.6455145.134269e-08
0.9703621.6454525.153089e-08
0.9739191.645395.171978e-08
0.9774891.6453285.190936e-08
0.9810721.6452665.209963e-08
0.9846681.6452045.229061e-08
0.9882781.6451425.248228e-08
0.9919011.645085.267466e-08
0.9955361.6450195.286774e-08
0.9991861.6449575.306153e-08
1.002851.6448965.325603e-08
1.006521.6448355.345124e-08
1.010211.6447735.364717e-08
1.013921.6447125.384382e-08
1.017631.6446515.404118e-08
1.021361.644595.423927e-08
1.025111.6445295.443809e-08
1.028871.6444685.463764e-08
1.032641.6444075.483791e-08
1.036421.6443465.503892e-08
1.040221.6442855.524067e-08
1.044031.6442245.544316e-08
1.047861.6441635.564639e-08
1.05171.6441035.585037e-08
1.055561.6440425.605509e-08
1.059431.6439815.626056e-08
1.061.6439725.629100e-08
1.063311.6439215.646679e-08
1.067211.643865.667377e-08
1.071121.6437995.688152e-08
1.075051.6437395.709002e-08
1.078991.6436785.729929e-08
1.082941.6436185.750933e-08
1.086911.6435575.772013e-08
1.09091.6434965.793171e-08
1.094891.6434365.814407e-08
1.098911.6433755.835720e-08
1.102941.6433145.857112e-08
1.106981.6432545.878581e-08
1.111041.6431935.900130e-08
1.115111.6431335.921758e-08
1.11921.6430725.943464e-08
1.12331.6430115.965251e-08
1.127421.642955.987117e-08
1.131551.642896.009063e-08
1.13571.6428296.031090e-08
1.139861.6427686.053198e-08
1.144041.6427076.075386e-08
1.148231.6426466.097656e-08
1.152441.6425856.120008e-08
1.156671.6425246.142442e-08
1.160911.6424636.164957e-08
1.165161.6424026.187556e-08
1.169431.642346.210237e-08
1.173721.6422796.233001e-08
1.178021.6422186.255849e-08
1.182341.6421566.278780e-08
1.186671.6420956.301796e-08
1.191021.6420336.324896e-08
1.195391.6419716.348080e-08
1.199771.6419096.371350e-08
1.204171.6418476.394705e-08
1.208581.6417856.418145e-08
1.213011.6417236.441671e-08
1.217461.6416616.465284e-08
1.221921.6415996.488983e-08
1.22641.6415376.512769e-08
1.23091.6414746.536642e-08
1.235411.6414116.560603e-08
1.239941.6413496.584652e-08
1.244481.6412866.608788e-08
1.249041.6412236.633014e-08
1.253621.641166.657328e-08
1.258221.6410966.681731e-08
1.262831.6410336.706223e-08
1.267461.6409696.730806e-08
1.272111.6409066.755478e-08
1.276771.6408426.780241e-08
1.281451.6407786.805095e-08
1.286151.6407146.830040e-08
1.290861.6406496.855076e-08
1.295591.6405856.880204e-08
1.300341.640526.905424e-08
1.305111.6404566.930737e-08
1.309891.6403916.956142e-08
1.314691.6403266.981640e-08
1.319511.640267.007232e-08
1.324351.6401957.032918e-08
1.32921.6401297.058698e-08
1.334081.6400637.084572e-08
1.338971.6399977.110542e-08
1.343881.6399317.136606e-08
1.34881.6398647.162766e-08
1.353751.6397987.189022e-08
1.358711.6397317.215374e-08
1.363691.6396647.241823e-08
1.368691.6395977.268368e-08
1.37371.6395297.295011e-08
1.378741.6394617.321752e-08
1.383791.6393937.348591e-08
1.388871.6393257.375528e-08
1.393961.6392577.402563e-08
1.399071.6391887.429698e-08
1.40421.6391197.456933e-08
1.409341.639057.484267e-08
1.414511.6389817.511701e-08
1.419691.6389117.539236e-08
1.42491.6388417.566872e-08
1.430121.6387717.594609e-08
1.435361.63877.622448e-08
1.440621.638637.650389e-08
1.445911.6385597.678432e-08
1.451211.6384887.706578e-08
1.456521.6384167.734828e-08
1.461861.6383447.763180e-08
1.467221.6382727.791637e-08
1.47261.63827.820198e-08
1.4781.6381277.848864e-08
1.483421.6380547.877635e-08
1.488851.6379817.906511e-08
1.494311.6379077.935493e-08
1.499791.6378337.964582e-08
1.51.6378317.965700e-08
1.505291.6377598.275536e-08
1.51081.6376858.598894e-08
1.516341.637618.923437e-08
1.52191.6375359.249169e-08
1.527481.6374599.576096e-08
1.533081.6373839.904221e-08
1.53871.6373071.023355e-07
1.544341.6372311.056408e-07
1.551.6371541.089583e-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
—