Optical constants

Refractive index of K-PBK40(M) (SUMITA)

K-PBK40(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
1.51497
Extinction coefficient k
3.75584e-08
Permittivity ε1
2.29513
Permittivity ε2
1.13799e-07
Absorption coefficient α
0.00803221 cm⁻¹
Penetration depth δ = λ/(2πk)
2.48997e+09 nm
Abbe number Vd
63.388
Chromatic dispersion dn/dλ
-0.0421596 µm⁻¹
Group index ng
1.53974
Group velocity dispersion
70.9632 fs²/mm
Dispersion parameter D
-387.142 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-PBK40(M) (SUMITA): K-PBK40(M)
sumita_k_pbk40_m = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-PBK40(M)", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_pbk40_m.range_nm)  # (360, 1550) nm
eps = sumita_k_pbk40_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=2.2666695−0.010697246⁢λ2.0+0.010455014⁢λ−2.0+0.00024731938⁢λ−4.0−9.4216199×10-6⁢λ−6.0+3.3360125×10-7⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C12.2666695
C2-0.010697246
C32.0
C40.010455014
C5-2.0
C60.00024731938
C7-4.0
C8-9.4216199e-06
C9-6.0
C103.3360125e-07
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 4.91e-06 2.06e-08 1.52e-11 4.18e-07 1.61e-10 0.165
nd
1.51497
Vd
63.3
glass code
518635
density
value: 2390
thermal expansion
value: 5.4e-06, temperature range: 243 343; value: 7.3e-06, temperature range: 293 573
dPgF
-0.0035
resistance
acid: 1.0; climatic: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 2.57e-06 K⁻¹ at 633 nm, dn/dT = 2.15e-06 K⁻¹ at 1310 nm, dn/dT = 2.11e-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-PBK40(M) (SUMITA), K-PBK40(M): n and k versus wavelength
λ (µm)nk
0.361.5354266.372900e-08
0.361321.5351816.000991e-08
0.3626441.5349385.627719e-08
0.3639731.5346975.253079e-08
0.3653081.5344584.877065e-08
0.3666471.5342214.499673e-08
0.3679911.5339864.120897e-08
0.369341.5337523.740734e-08
0.371.5336393.554600e-08
0.3706931.5335213.561264e-08
0.3720521.5332913.574322e-08
0.3734161.5330643.587428e-08
0.3747851.5328383.600582e-08
0.3761591.5326143.613785e-08
0.3775371.5323923.627035e-08
0.3789211.5321713.640335e-08
0.381.5320013.650700e-08
0.380311.5319523.634200e-08
0.3817041.5317353.560091e-08
0.3831041.531523.485711e-08
0.3845081.5313073.411057e-08
0.3859171.5310953.336131e-08
0.3873321.5308853.260929e-08
0.3887521.5306773.185452e-08
0.391.5304963.119100e-08
0.3901771.530473.114832e-08
0.3916071.5302653.080321e-08
0.3930431.5300613.045683e-08
0.3944831.529863.010918e-08
0.3959291.5296592.976025e-08
0.3973811.5294612.941005e-08
0.3988371.5292642.905856e-08
0.41.5291082.877800e-08
0.4002991.5290682.879952e-08
0.4017671.5288742.890502e-08
0.4032391.5286822.901091e-08
0.4047171.5284912.911719e-08
0.4062011.5283022.922385e-08
0.407691.5281142.933091e-08
0.4091841.5279272.943836e-08
0.4106841.5277422.954620e-08
0.412191.5275592.965444e-08
0.4137011.5273762.976308e-08
0.4152171.5271962.987211e-08
0.4167391.5270172.998155e-08
0.4182671.5268393.009138e-08
0.41981.5266623.020162e-08
0.421.5266393.021600e-08
0.4213391.5264873.031233e-08
0.4228831.5263133.042345e-08
0.4244331.5261413.053498e-08
0.4259891.525973.064692e-08
0.4275511.52583.075927e-08
0.4291181.5256323.087204e-08
0.4306911.5254643.098521e-08
0.432271.5252983.109880e-08
0.4338541.5251343.121281e-08
0.4354451.5249713.132724e-08
0.4370411.5248083.144208e-08
0.4386431.5246483.155735e-08
0.441.5245133.165500e-08
0.4402511.5244883.167303e-08
0.4418641.524333.178915e-08
0.4434841.5241723.190568e-08
0.445111.5240163.202265e-08
0.4467411.5238623.214004e-08
0.4483791.5237083.225787e-08
0.4500231.5235563.237612e-08
0.4516721.5234043.249481e-08
0.4533281.5232543.261394e-08
0.454991.5231053.273350e-08
0.4566571.5229573.285350e-08
0.4583311.522813.297394e-08
0.461.5226663.309400e-08
0.4600111.5226653.309482e-08
0.4616981.522523.321614e-08
0.463391.5223773.333791e-08
0.4650891.5222343.346012e-08
0.4667931.5220933.358279e-08
0.4685051.5219533.370590e-08
0.4702221.5218133.382946e-08
0.4719461.5216753.395348e-08
0.4736751.5215383.407795e-08
0.4754121.5214023.420288e-08
0.4771541.5212663.432827e-08
0.4789041.5211323.445411e-08
0.481.5210493.453300e-08
0.4806591.5209993.458042e-08
0.4824211.5208673.470719e-08
0.4841891.5207363.483442e-08
0.4859641.5206053.496212e-08
0.4877461.5204763.509029e-08
0.4895331.5203483.521893e-08
0.4913281.520223.534804e-08
0.4931291.5200943.547762e-08
0.4949361.5199683.560768e-08
0.4967511.5198433.573822e-08
0.4985721.5197193.586923e-08
0.51.5196233.597200e-08
0.5003991.5195973.596548e-08
0.5022331.5194743.593551e-08
0.5040741.5193533.590542e-08
0.5059221.5192333.587523e-08
0.5077771.5191143.584493e-08
0.5096381.5189953.581451e-08
0.5115061.5188773.578399e-08
0.5133811.518763.575335e-08
0.5152631.5186443.572260e-08
0.5171521.5185293.569174e-08
0.5190471.5184153.566076e-08
0.520951.5183013.562968e-08
0.522861.5181883.559847e-08
0.5247761.5180763.556716e-08
0.52671.5179653.553572e-08
0.5286311.5178553.550418e-08
0.5305681.5177453.547251e-08
0.5325131.5176363.544073e-08
0.5344651.5175283.540884e-08
0.5364241.5174213.537683e-08
0.5383911.5173143.534470e-08
0.5403641.5172083.531245e-08
0.5423451.5171033.528008e-08
0.5443331.5169983.524760e-08
0.5463281.5168943.521500e-08
0.5483311.5167913.518227e-08
0.551.5167063.515500e-08
0.5503411.5166893.517679e-08
0.5523581.5165873.530574e-08
0.5543831.5164863.543516e-08
0.5564151.5163863.556505e-08
0.5584551.5162863.569543e-08
0.5605021.5161873.582628e-08
0.5625561.5160893.595760e-08
0.5646191.5159913.608942e-08
0.5666881.5158943.622171e-08
0.5687651.5157983.635449e-08
0.570851.5157023.648775e-08
0.5729431.5156073.662151e-08
0.5750431.5155133.675575e-08
0.5771511.5154193.689049e-08
0.5792671.5153263.702572e-08
0.581391.5152333.716144e-08
0.5835211.5151413.729766e-08
0.585661.5150493.743439e-08
0.5878071.5149583.757161e-08
0.5899611.5148683.770934e-08
0.5921241.5147783.784757e-08
0.5942951.5146893.798631e-08
0.5964731.5146013.812555e-08
0.5986591.5145133.826531e-08
0.61.5144593.835100e-08
0.6008541.5144253.840558e-08
0.6030561.5143383.854637e-08
0.6052671.5142523.868766e-08
0.6074861.5141663.882948e-08
0.6097121.5140813.897182e-08
0.6119471.5139963.911468e-08
0.6141911.5139123.925806e-08
0.6164421.5138283.940197e-08
0.6187021.5137453.954641e-08
0.620971.5136623.969137e-08
0.6232461.513583.983687e-08
0.625531.5134983.998290e-08
0.6278231.5134174.012947e-08
0.6301251.5133364.027657e-08
0.6324341.5132554.042421e-08
0.6347531.5131764.057239e-08
0.6370791.5130964.072112e-08
0.6394151.5130174.087039e-08
0.6417591.5129394.102021e-08
0.6441111.5128614.117058e-08
0.6464721.5127834.132150e-08
0.6488421.5127064.147297e-08
0.651.5126694.154700e-08
0.651221.5126294.121448e-08
0.6536071.5125534.056399e-08
0.6560031.5124773.991112e-08
0.6584081.5124023.925585e-08
0.6608211.5123273.859818e-08
0.6632441.5122523.793810e-08
0.6656751.5121783.727560e-08
0.6681151.5121053.661067e-08
0.6705641.5120313.594330e-08
0.6730221.5119583.527349e-08
0.6754891.5118863.460122e-08
0.6779651.5118133.392649e-08
0.680451.5117423.324928e-08
0.6829451.511673.256959e-08
0.6854481.5115993.188741e-08
0.6879611.5115293.120273e-08
0.6904821.5114583.051554e-08
0.6930131.5113882.982583e-08
0.6955541.5113192.913360e-08
0.6981031.5112492.843882e-08
0.71.5111982.792200e-08
0.7006621.5111812.782147e-08
0.7032311.5111122.743167e-08
0.7058091.5110442.704044e-08
0.7083961.5109762.664778e-08
0.7109921.5109082.625368e-08
0.7135991.5108412.585813e-08
0.7162141.5107742.546113e-08
0.718841.5107082.506268e-08
0.7214751.5106412.466277e-08
0.7241191.5105752.426139e-08
0.7267741.510512.385854e-08
0.7294381.5104442.345422e-08
0.7321121.5103792.304841e-08
0.7347951.5103152.264111e-08
0.7374891.510252.223232e-08
0.7401921.5101862.182203e-08
0.7429051.5101222.141024e-08
0.7456291.5100582.099694e-08
0.7483621.5099952.058213e-08
0.7511051.5099322.016579e-08
0.7538581.5098691.974793e-08
0.7566221.5098071.932853e-08
0.7593951.5097441.890760e-08
0.7621791.5096821.848513e-08
0.7649731.509621.806110e-08
0.7677771.5095591.763553e-08
0.7705911.5094981.720839e-08
0.7734161.5094371.677969e-08
0.7762511.5093761.634941e-08
0.7790961.5093151.591756e-08
0.7819521.5092551.548412e-08
0.7848181.5091951.504910e-08
0.7876951.5091351.461248e-08
0.7905831.5090751.417426e-08
0.7934811.5090161.373444e-08
0.7963891.5089561.329300e-08
0.7993091.5088971.284995e-08
0.81.5088831.274500e-08
0.8022381.5088381.278066e-08
0.8051791.508781.282751e-08
0.8081311.5087211.287453e-08
0.8110931.5086631.292172e-08
0.8140661.5086051.296908e-08
0.817051.5085471.301662e-08
0.8200451.5084891.306433e-08
0.8230511.5084321.311222e-08
0.8260681.5083751.316028e-08
0.8290961.5083171.320852e-08
0.8321351.508261.325694e-08
0.8351861.5082041.330553e-08
0.8382471.5081471.335431e-08
0.841321.508091.340326e-08
0.8444041.5080341.345239e-08
0.8474991.5079781.350169e-08
0.8506061.5079221.355119e-08
0.8537241.5078661.360086e-08
0.8568531.507811.365071e-08
0.8599941.5077551.370075e-08
0.8631461.5076991.375097e-08
0.866311.5076441.380137e-08
0.8694861.5075891.385196e-08
0.8726731.5075341.390274e-08
0.8758721.5074791.395370e-08
0.8790821.5074241.400484e-08
0.8823051.5073691.405618e-08
0.8855391.5073141.410770e-08
0.8887851.507261.415941e-08
0.8920431.5072061.421132e-08
0.8953131.5071511.426341e-08
0.8985951.5070971.431569e-08
0.9018891.5070431.436817e-08
0.9051951.5069891.442083e-08
0.9085131.5069351.447369e-08
0.9118431.5068811.452675e-08
0.9151861.5068281.457999e-08
0.918541.5067741.463344e-08
0.9219071.5067211.468708e-08
0.9252871.5066671.474091e-08
0.9286781.5066141.479494e-08
0.9320831.506561.484918e-08
0.9354991.5065071.490361e-08
0.9389281.5064541.495824e-08
0.942371.5064011.501307e-08
0.9458241.5063481.506810e-08
0.9492911.5062951.512333e-08
0.9527711.5062421.517876e-08
0.9562641.5061891.523440e-08
0.9597691.5061361.529024e-08
0.9632871.5060831.534629e-08
0.9668181.506031.540254e-08
0.9703621.5059781.545900e-08
0.9739191.5059251.551567e-08
0.9774891.5058721.557254e-08
0.9810721.505821.562962e-08
0.9846681.5057671.568691e-08
0.9882781.5057141.574441e-08
0.9919011.5056621.580212e-08
0.9955361.5056091.586005e-08
0.9991861.5055571.591818e-08
1.002851.5055041.597653e-08
1.006521.5054521.603509e-08
1.010211.5053991.609387e-08
1.013921.5053461.615286e-08
1.017631.5052941.621207e-08
1.021361.5052411.627150e-08
1.025111.5051891.633114e-08
1.028871.5051361.639100e-08
1.032641.5050841.645108e-08
1.036421.5050311.651139e-08
1.040221.5049791.657191e-08
1.044031.5049261.663265e-08
1.047861.5048731.669362e-08
1.05171.5048211.675481e-08
1.055561.5047681.681623e-08
1.059431.5047151.687787e-08
1.061.5047071.688700e-08
1.063311.5046621.693974e-08
1.067211.504611.700184e-08
1.071121.5045571.706416e-08
1.075051.5045041.712671e-08
1.078991.5044511.718950e-08
1.082941.5043981.725251e-08
1.086911.5043451.731575e-08
1.09091.5042921.737923e-08
1.094891.5042391.744294e-08
1.098911.5041851.750688e-08
1.102941.5041321.757105e-08
1.106981.5040791.763547e-08
1.111041.5040251.770011e-08
1.115111.5039721.776500e-08
1.11921.5039181.783012e-08
1.12331.5038641.789548e-08
1.127421.5038111.796108e-08
1.131551.5037571.802692e-08
1.13571.5037031.809301e-08
1.139861.5036491.815933e-08
1.144041.5035951.822590e-08
1.148231.503541.829271e-08
1.152441.5034861.835977e-08
1.156671.5034321.842707e-08
1.160911.5033771.849462e-08
1.165161.5033221.856241e-08
1.169431.5032681.863046e-08
1.173721.5032131.869875e-08
1.178021.5031581.876730e-08
1.182341.5031031.883610e-08
1.186671.5030471.890514e-08
1.191021.5029921.897445e-08
1.195391.5029361.904400e-08
1.199771.5028811.911381e-08
1.204171.5028251.918388e-08
1.208581.5027691.925420e-08
1.213011.5027131.932478e-08
1.217461.5026571.939562e-08
1.221921.50261.946672e-08
1.22641.5025441.953808e-08
1.23091.5024871.960970e-08
1.235411.502431.968159e-08
1.239941.5023731.975374e-08
1.244481.5023161.982615e-08
1.249041.5022591.989883e-08
1.253621.5022011.997177e-08
1.258221.5021432.004498e-08
1.262831.5020862.011846e-08
1.267461.5020272.019221e-08
1.272111.5019692.026623e-08
1.276771.5019112.034052e-08
1.281451.5018522.041509e-08
1.286151.5017932.048992e-08
1.290861.5017342.056503e-08
1.295591.5016752.064042e-08
1.300341.5016162.071608e-08
1.305111.5015562.079202e-08
1.309891.5014962.086824e-08
1.314691.5014362.094474e-08
1.319511.5013762.102151e-08
1.324351.5013152.109857e-08
1.32921.5012542.117592e-08
1.334081.5011932.125354e-08
1.338971.5011322.133145e-08
1.343881.5010712.140965e-08
1.34881.5010092.148813e-08
1.353751.5009472.156690e-08
1.358711.5008852.164596e-08
1.363691.5008232.172531e-08
1.368691.500762.180495e-08
1.37371.5006972.188488e-08
1.378741.5006342.196510e-08
1.383791.500572.204562e-08
1.388871.5005072.212643e-08
1.393961.5004432.220754e-08
1.399071.5003782.228895e-08
1.40421.5003142.237065e-08
1.409341.5002492.245266e-08
1.414511.5001842.253496e-08
1.419691.5001192.261757e-08
1.42491.5000532.270048e-08
1.430121.4999872.278370e-08
1.435361.4999212.286721e-08
1.440621.4998542.295104e-08
1.445911.4997872.303517e-08
1.451211.499722.311961e-08
1.456521.4996532.320436e-08
1.461861.4995852.328942e-08
1.467221.4995172.337480e-08
1.47261.4994482.346048e-08
1.4781.4993792.354648e-08
1.483421.499312.363280e-08
1.488851.4992412.371943e-08
1.494311.4991712.380638e-08
1.499791.4991012.389365e-08
1.51.4990982.389700e-08
1.505291.499032.398123e-08
1.51081.498962.406914e-08
1.516341.4988882.415738e-08
1.52191.4988172.424593e-08
1.527481.4987452.433481e-08
1.533081.4986732.442402e-08
1.53871.49862.451355e-08
1.544341.4985272.460341e-08
1.551.4984542.469360e-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
—