Optical constants

Refractive index of K-PBK50(M) (SUMITA)

K-PBK50(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
1.52025
Extinction coefficient k
1.04495e-08
Permittivity ε1
2.31115
Permittivity ε2
3.17716e-08
Absorption coefficient α
0.00223472 cm⁻¹
Penetration depth δ = λ/(2πk)
8.94966e+09 nm
Abbe number Vd
62.144
Chromatic dispersion dn/dλ
-0.0434226 µm⁻¹
Group index ng
1.54576
Group velocity dispersion
73.4279 fs²/mm
Dispersion parameter D
-400.588 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-PBK50(M) (SUMITA): K-PBK50(M)
sumita_k_pbk50_m = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-PBK50(M)", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_pbk50_m.range_nm)  # (360, 1550) nm
eps = sumita_k_pbk50_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=2.2812358−0.010469171⁢λ2.0+0.010938493⁢λ−2.0+0.00025045867⁢λ−4.0−1.2796276×10-5⁢λ−6.0+7.9827772×10-7⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C12.2812358
C2-0.010469171
C32.0
C40.010938493
C5-2.0
C60.00025045867
C7-4.0
C8-1.2796276e-05
C9-6.0
C107.9827772e-07
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 5.1e-08 2.09e-08 -1.11e-11 4.38e-07 5.79e-10 0.176
nd
1.52025
Vd
62.2
glass code
523623
density
value: 2430
thermal expansion
value: 6.7e-06, temperature range: 243 343; value: 9.2e-06, temperature range: 293 573
dPgF
-0.0046
resistance
acid: 4.0; climatic: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 5.31e-07 K⁻¹ at 633 nm, dn/dT = 1.31e-07 K⁻¹ at 1310 nm, dn/dT = 9.88e-08 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-PBK50(M) (SUMITA), K-PBK50(M): n and k versus wavelength
λ (µm)nk
0.361.5414758.135900e-08
0.361321.5412167.768016e-08
0.3626441.540967.398783e-08
0.3639731.5407077.028197e-08
0.3653081.5404556.656253e-08
0.3666471.5402066.282945e-08
0.3679911.5399595.908269e-08
0.369341.5397145.532219e-08
0.371.5395955.348100e-08
0.3706931.5394715.230401e-08
0.3720521.539234.999755e-08
0.3734161.5389924.768263e-08
0.3747851.5387554.535923e-08
0.3761591.538524.302731e-08
0.3775371.5382884.068685e-08
0.3789211.5380573.833781e-08
0.381.5378793.650700e-08
0.380311.5378293.605055e-08
0.3817041.5376023.400043e-08
0.3831041.5373773.194279e-08
0.3845081.5371542.987761e-08
0.3859171.5369332.780486e-08
0.3873321.5367142.572452e-08
0.3887521.5364972.363654e-08
0.391.5363082.180100e-08
0.3901771.5362812.181089e-08
0.3916071.5360672.189084e-08
0.3930431.5358552.197108e-08
0.3944831.5356452.205162e-08
0.3959291.5354372.213245e-08
0.3973811.535232.221358e-08
0.3988371.5350252.229501e-08
0.41.5348632.236000e-08
0.4002991.5348212.237673e-08
0.4017671.534622.245875e-08
0.4032391.534422.254108e-08
0.4047171.5342212.262371e-08
0.4062011.5340242.270664e-08
0.407691.5338292.278987e-08
0.4091841.5336352.287341e-08
0.4106841.5334432.295725e-08
0.412191.5332532.304141e-08
0.4137011.5330642.312587e-08
0.4152171.5328762.321064e-08
0.4167391.532692.329572e-08
0.4182671.5325062.338111e-08
0.41981.5323232.346682e-08
0.421.5322992.347800e-08
0.4213391.5321412.355284e-08
0.4228831.5319612.363917e-08
0.4244331.5317832.372583e-08
0.4259891.5316052.381280e-08
0.4275511.5314292.390009e-08
0.4291181.5312552.398769e-08
0.4306911.5310822.407562e-08
0.432271.530912.416388e-08
0.4338541.530742.425245e-08
0.4354451.5305712.434135e-08
0.4370411.5304032.443058e-08
0.4386431.5302362.452013e-08
0.441.5300972.459600e-08
0.4402511.5300712.451771e-08
0.4418641.5299072.401364e-08
0.4434841.5297452.350773e-08
0.445111.5295832.299996e-08
0.4467411.5294232.249033e-08
0.4483791.5292652.197883e-08
0.4500231.5291072.146545e-08
0.4516721.5289512.095020e-08
0.4533281.5287952.043305e-08
0.454991.5286411.991401e-08
0.4566571.5284881.939307e-08
0.4583311.5283371.887022e-08
0.461.5281871.834900e-08
0.4600111.5281861.834945e-08
0.4616981.5280371.841665e-08
0.463391.5278891.848409e-08
0.4650891.5277411.855178e-08
0.4667931.5275951.861972e-08
0.4685051.527451.868791e-08
0.4702221.5273071.875634e-08
0.4719461.5271641.882503e-08
0.4736751.5270221.889397e-08
0.4754121.5268811.896316e-08
0.4771541.5267421.903261e-08
0.4789041.5266031.910231e-08
0.481.5265171.914600e-08
0.4806591.5264661.904059e-08
0.4824211.5263291.875877e-08
0.4841891.5261941.847592e-08
0.4859641.5260591.819203e-08
0.4877461.5259261.790710e-08
0.4895331.5257931.762113e-08
0.4913281.5256621.733411e-08
0.4931291.5255311.704604e-08
0.4949361.5254021.675691e-08
0.4967511.5252731.646672e-08
0.4985721.5251451.617547e-08
0.51.5250461.594700e-08
0.5003991.5250181.592467e-08
0.5022331.5248921.582206e-08
0.5040741.5247681.571907e-08
0.5059221.5246431.561571e-08
0.5077771.524521.551197e-08
0.5096381.5243981.540785e-08
0.5115061.5242771.530334e-08
0.5133811.5241561.519846e-08
0.5152631.5240361.509319e-08
0.5171521.5239171.498753e-08
0.5190471.5237991.488149e-08
0.520951.5236821.477505e-08
0.522861.5235661.466823e-08
0.5247761.523451.456101e-08
0.52671.5233361.445341e-08
0.5286311.5232221.434540e-08
0.5305681.5231091.423701e-08
0.5325131.5229961.412821e-08
0.5344651.5228851.401902e-08
0.5364241.5227741.390942e-08
0.5383911.5226641.379943e-08
0.5403641.5225551.368903e-08
0.5423451.5224471.357822e-08
0.5443331.5223391.346701e-08
0.5463281.5222321.335539e-08
0.5483311.5221261.324337e-08
0.551.5220381.315000e-08
0.5503411.522021.312552e-08
0.5523581.5219151.298063e-08
0.5543831.5218111.283521e-08
0.5564151.5217081.268925e-08
0.5584551.5216051.254276e-08
0.5605021.5215031.239574e-08
0.5625561.5214021.224817e-08
0.5646191.5213011.210007e-08
0.5666881.5212011.195142e-08
0.5687651.5211021.180223e-08
0.570851.5210031.165249e-08
0.5729431.5209051.150220e-08
0.5750431.5208081.135136e-08
0.5771511.5207111.119997e-08
0.5792671.5206151.104802e-08
0.581391.520521.089552e-08
0.5835211.5204251.074245e-08
0.585661.5203311.058883e-08
0.5878071.5202371.043464e-08
0.5899611.5201441.027989e-08
0.5921241.5200521.012457e-08
0.5942951.519969.968677e-09
0.5964731.5198699.812216e-09
0.5986591.5197789.655181e-09
0.61.5197239.558900e-09
0.6008541.5196889.572496e-09
0.6030561.5195989.607564e-09
0.6052671.5195099.642761e-09
0.6074861.5194219.678087e-09
0.6097121.5193339.713542e-09
0.6119471.5192469.749127e-09
0.6141911.5191599.784843e-09
0.6164421.5190739.820689e-09
0.6187021.5189879.856667e-09
0.620971.5189029.892777e-09
0.6232461.5188179.929019e-09
0.625531.5187339.965394e-09
0.6278231.518651.000190e-08
0.6301251.5185661.003854e-08
0.6324341.5184841.007532e-08
0.6347531.5184021.011223e-08
0.6370791.518321.014928e-08
0.6394151.5182391.018646e-08
0.6417591.5181581.022378e-08
0.6441111.5180781.026124e-08
0.6464721.5179981.029883e-08
0.6488421.5179191.033656e-08
0.651.517881.035500e-08
0.651221.517841.037445e-08
0.6536071.5177621.041250e-08
0.6560031.5176841.045069e-08
0.6584081.5176061.048902e-08
0.6608211.5175291.052749e-08
0.6632441.5174531.056610e-08
0.6656751.5173761.060486e-08
0.6681151.5173011.064375e-08
0.6705641.5172251.068279e-08
0.6730221.517151.072197e-08
0.6754891.5170761.076130e-08
0.6779651.5170011.080077e-08
0.680451.5169281.084038e-08
0.6829451.5168541.088014e-08
0.6854481.5167811.092004e-08
0.6879611.5167091.096009e-08
0.6904821.5166371.100029e-08
0.6930131.5165651.104063e-08
0.6955541.5164931.108113e-08
0.6981031.5164221.112177e-08
0.71.516371.115200e-08
0.7006621.5163521.116255e-08
0.7032311.5162811.120347e-08
0.7058091.5162111.124453e-08
0.7083961.5161421.128574e-08
0.7109921.5160721.132711e-08
0.7135991.5160031.136863e-08
0.7162141.5159351.141030e-08
0.718841.5158661.145212e-08
0.7214751.5157991.149409e-08
0.7241191.5157311.153622e-08
0.7267741.5156641.157851e-08
0.7294381.5155971.162095e-08
0.7321121.515531.166354e-08
0.7347951.5154641.170629e-08
0.7374891.5153981.174920e-08
0.7401921.5153321.179226e-08
0.7429051.5152661.183548e-08
0.7456291.5152011.187886e-08
0.7483621.5151361.192240e-08
0.7511051.5150721.196610e-08
0.7538581.5150071.200996e-08
0.7566221.5149431.205398e-08
0.7593951.514881.209816e-08
0.7621791.5148161.214251e-08
0.7649731.5147531.218701e-08
0.7677771.514691.223168e-08
0.7705911.5146271.227652e-08
0.7734161.5145651.232151e-08
0.7762511.5145031.236668e-08
0.7790961.5144411.241200e-08
0.7819521.5143791.245750e-08
0.7848181.5143171.250316e-08
0.7876951.5142561.254899e-08
0.7905831.5141951.259498e-08
0.7934811.5141351.264115e-08
0.7963891.5140741.268748e-08
0.7993091.5140141.273398e-08
0.81.5139991.274500e-08
0.8022381.5139541.278066e-08
0.8051791.5138941.282751e-08
0.8081311.5138341.287453e-08
0.8110931.5137751.292172e-08
0.8140661.5137151.296908e-08
0.817051.5136561.301662e-08
0.8200451.5135971.306433e-08
0.8230511.5135391.311222e-08
0.8260681.513481.316028e-08
0.8290961.5134221.320852e-08
0.8321351.5133641.325694e-08
0.8351861.5133061.330553e-08
0.8382471.5132481.335431e-08
0.841321.5131911.340326e-08
0.8444041.5131331.345239e-08
0.8474991.5130761.350169e-08
0.8506061.5130191.355119e-08
0.8537241.5129621.360086e-08
0.8568531.5129051.365071e-08
0.8599941.5128491.370075e-08
0.8631461.5127921.375097e-08
0.866311.5127361.380137e-08
0.8694861.512681.385196e-08
0.8726731.5126241.390274e-08
0.8758721.5125681.395370e-08
0.8790821.5125121.400484e-08
0.8823051.5124571.405618e-08
0.8855391.5124011.410770e-08
0.8887851.5123461.415941e-08
0.8920431.5122911.421132e-08
0.8953131.5122361.426341e-08
0.8985951.5121811.431569e-08
0.9018891.5121261.436817e-08
0.9051951.5120711.442083e-08
0.9085131.5120161.447369e-08
0.9118431.5119621.452675e-08
0.9151861.5119071.457999e-08
0.918541.5118531.463344e-08
0.9219071.5117991.468708e-08
0.9252871.5117451.474091e-08
0.9286781.511691.479494e-08
0.9320831.5116361.484918e-08
0.9354991.5115831.490361e-08
0.9389281.5115291.495824e-08
0.942371.5114751.501307e-08
0.9458241.5114211.506810e-08
0.9492911.5113681.512333e-08
0.9527711.5113141.517876e-08
0.9562641.511261.523440e-08
0.9597691.5112071.529024e-08
0.9632871.5111541.534629e-08
0.9668181.51111.540254e-08
0.9703621.5110471.545900e-08
0.9739191.5109941.551567e-08
0.9774891.5109411.557254e-08
0.9810721.5108871.562962e-08
0.9846681.5108341.568691e-08
0.9882781.5107811.574441e-08
0.9919011.5107281.580212e-08
0.9955361.5106751.586005e-08
0.9991861.5106221.591818e-08
1.002851.5105691.597653e-08
1.006521.5105161.603509e-08
1.010211.5104631.609387e-08
1.013921.510411.615286e-08
1.017631.5103571.621207e-08
1.021361.5103051.627150e-08
1.025111.5102521.633114e-08
1.028871.5101991.639100e-08
1.032641.5101461.645108e-08
1.036421.5100931.651139e-08
1.040221.510041.657191e-08
1.044031.5099871.663265e-08
1.047861.5099341.669362e-08
1.05171.5098811.675481e-08
1.055561.5098281.681623e-08
1.059431.5097751.687787e-08
1.061.5097671.688700e-08
1.063311.5097221.721010e-08
1.067211.5096691.759053e-08
1.071121.5096161.797235e-08
1.075051.5095631.835558e-08
1.078991.509511.874021e-08
1.082941.5094571.912625e-08
1.086911.5094041.951371e-08
1.09091.509351.990258e-08
1.094891.5092972.029288e-08
1.098911.5092442.068462e-08
1.102941.509192.107778e-08
1.106981.5091372.147239e-08
1.111041.5090832.186845e-08
1.115111.509032.226596e-08
1.11921.5089762.266492e-08
1.12331.5089222.306535e-08
1.127421.5088682.346724e-08
1.131551.5088142.387061e-08
1.13571.508762.427546e-08
1.139861.5087062.468179e-08
1.144041.5086522.508961e-08
1.148231.5085982.549892e-08
1.152441.5085442.590974e-08
1.156671.5084892.632206e-08
1.160911.5084352.673589e-08
1.165161.508382.715124e-08
1.169431.5083262.756812e-08
1.173721.5082712.798652e-08
1.178021.5082162.840645e-08
1.182341.5081612.882792e-08
1.186671.5081062.925094e-08
1.191021.508052.967551e-08
1.195391.5079953.010164e-08
1.199771.507943.052932e-08
1.204171.5078843.095858e-08
1.208581.5078283.138941e-08
1.213011.5077723.182182e-08
1.217461.5077163.225581e-08
1.221921.507663.269139e-08
1.22641.5076043.312857e-08
1.23091.5075473.356735e-08
1.235411.5074913.400775e-08
1.239941.5074343.444975e-08
1.244481.5073773.489338e-08
1.249041.507323.533863e-08
1.253621.5072633.578551e-08
1.258221.5072053.623404e-08
1.262831.5071483.668420e-08
1.267461.507093.713602e-08
1.272111.5070323.758949e-08
1.276771.5069743.804463e-08
1.281451.5069163.850143e-08
1.286151.5068573.895991e-08
1.290861.5067993.942006e-08
1.295591.506743.988191e-08
1.300341.5066814.034545e-08
1.305111.5066224.081069e-08
1.309891.5065624.127763e-08
1.314691.5065034.174628e-08
1.319511.5064434.221665e-08
1.324351.5063834.268875e-08
1.32921.5063234.316258e-08
1.334081.5062624.363814e-08
1.338971.5062024.411545e-08
1.343881.5061414.459450e-08
1.34881.506084.507532e-08
1.353751.5060184.555789e-08
1.358711.5059574.604224e-08
1.363691.5058954.652835e-08
1.368691.5058334.701626e-08
1.37371.5057714.750595e-08
1.378741.5057084.799743e-08
1.383791.5056454.849072e-08
1.388871.5055824.898581e-08
1.393961.5055194.948272e-08
1.399071.5054554.998145e-08
1.40421.5053915.048201e-08
1.409341.5053275.098440e-08
1.414511.5052635.148864e-08
1.419691.5051985.199472e-08
1.42491.5051335.250266e-08
1.430121.5050685.301246e-08
1.435361.5050035.352413e-08
1.440621.5049375.403768e-08
1.445911.5048715.455311e-08
1.451211.5048055.507042e-08
1.456521.5047385.558964e-08
1.461861.5046715.611075e-08
1.467221.5046045.663378e-08
1.47261.5045365.715872e-08
1.4781.5044685.768559e-08
1.483421.50445.821439e-08
1.488851.5043325.874513e-08
1.494311.5042635.927781e-08
1.499791.5041945.981245e-08
1.51.5041915.983300e-08
1.505291.5041246.537065e-08
1.51081.5040547.114997e-08
1.516341.5039847.695046e-08
1.52191.5039138.277222e-08
1.527481.5038438.861533e-08
1.533081.5037719.447984e-08
1.53871.50371.003659e-07
1.544341.5036281.062735e-07
1.551.5035551.122027e-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
—