Optical constants

Refractive index of K-PFK85 (SUMITA)

K-PFK85: 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
1.48563
Extinction coefficient k
9.36134e-09
Permittivity ε1
2.20709
Permittivity ε2
2.78150e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
85.188
Chromatic dispersion dn/dλ
-0.0295 µm⁻¹
Group index ng
1.50296
Group velocity dispersion
51.4669 fs²/mm
Dispersion parameter D
-280.779 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-PFK85 (SUMITA): K-PFK85
sumita_k_pfk85 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-PFK85", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_pfk85.range_nm)  # (360, 1550) nm
eps = sumita_k_pfk85.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=2.1858326−0.0050155632⁢λ2.0+0.0075107775⁢λ−2.0+0.00017770562⁢λ−4.0−1.2164148×10-5⁢λ−6.0+6.1341005×10-7⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C12.1858326
C2-0.0050155632
C32.0
C40.0075107775
C5-2.0
C60.00017770562
C7-4.0
C8-1.2164148e-05
C9-6.0
C106.1341005e-07
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -2.28e-05 -1.71e-09 6.72e-11 3.39e-07 4.74e-10 0.176
nd
1.48563
Vd
85.2
glass code
486852
density
value: 3970
thermal expansion
value: 1.29e-05, temperature range: 243 343; value: 1.63e-05, temperature range: 293 573
dPgF
0.0381
resistance
acid: 1.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -8.87e-06 K⁻¹ at 633 nm, dn/dT = -9.04e-06 K⁻¹ at 1310 nm, dn/dT = -9.04e-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-PFK85 (SUMITA), K-PFK85: n and k versus wavelength
λ (µm)nk
0.361.5001017.547000e-08
0.361321.4999277.415421e-08
0.3626441.4997547.283359e-08
0.3639731.4995837.150813e-08
0.3653081.4994137.017781e-08
0.3666471.4992456.884262e-08
0.3679911.4990786.750253e-08
0.369341.4989126.615753e-08
0.371.4988326.549900e-08
0.3706931.4987486.306464e-08
0.3720521.4985855.829424e-08
0.3734161.4984235.350635e-08
0.3747851.4982634.870090e-08
0.3761591.4981044.387784e-08
0.3775371.4979473.903710e-08
0.3789211.4977913.417862e-08
0.381.497673.039200e-08
0.380311.4976363.022241e-08
0.3817041.4974822.946068e-08
0.3831041.4973292.869617e-08
0.3845081.4971782.792886e-08
0.3859171.4970282.715873e-08
0.3873321.4968792.638578e-08
0.3887521.4967312.560999e-08
0.391.4966032.492800e-08
0.3901771.4965852.476931e-08
0.3916071.496442.348596e-08
0.3930431.4962962.219790e-08
0.3944831.4961532.090512e-08
0.3959291.4960111.960760e-08
0.3973811.495871.830533e-08
0.3988371.4957311.699828e-08
0.41.495621.595500e-08
0.4002991.4955921.596694e-08
0.4017671.4954551.602549e-08
0.4032391.4953191.608425e-08
0.4047171.4951831.614323e-08
0.4062011.4950491.620242e-08
0.407691.4949161.626183e-08
0.4091841.4947841.632146e-08
0.4106841.4946531.638131e-08
0.412191.4945231.644137e-08
0.4137011.4943941.650166e-08
0.4152171.4942661.656216e-08
0.4167391.4941391.662289e-08
0.4182671.4940131.668384e-08
0.41981.4938881.674502e-08
0.421.4938721.675300e-08
0.4213391.4937641.680642e-08
0.4228831.4936411.686804e-08
0.4244331.4935191.692989e-08
0.4259891.4933981.699197e-08
0.4275511.4932781.705427e-08
0.4291181.4931591.711681e-08
0.4306911.493041.717957e-08
0.432271.4929231.724256e-08
0.4338541.4928061.730578e-08
0.4354451.4926911.736924e-08
0.4370411.4925761.743293e-08
0.4386431.4924621.749685e-08
0.441.4923671.755100e-08
0.4402511.4923491.756100e-08
0.4418641.4922371.762539e-08
0.4434841.4921261.769002e-08
0.445111.4920151.775488e-08
0.4467411.4919061.781998e-08
0.4483791.4917971.788532e-08
0.4500231.4916891.795090e-08
0.4516721.4915821.801672e-08
0.4533281.4914761.808278e-08
0.454991.491371.814908e-08
0.4566571.4912651.821563e-08
0.4583311.4911621.828242e-08
0.461.4910591.834900e-08
0.4600111.4910581.834510e-08
0.4616981.4909561.776563e-08
0.463391.4908551.718403e-08
0.4650891.4907541.660030e-08
0.4667931.4906541.601444e-08
0.4685051.4905541.542642e-08
0.4702221.4904561.483625e-08
0.4719461.4903581.424392e-08
0.4736751.4902611.364941e-08
0.4754121.4901651.305273e-08
0.4771541.4900691.245386e-08
0.4789041.4899741.185279e-08
0.481.4899151.147600e-08
0.4806591.489881.136033e-08
0.4824211.4897861.105109e-08
0.4841891.4896931.074071e-08
0.4859641.4896011.042920e-08
0.4877461.489511.011655e-08
0.4895331.4894199.802745e-09
0.4913281.4893299.487793e-09
0.4931291.4892399.171688e-09
0.4949361.4891518.854423e-09
0.4967511.4890628.535996e-09
0.4985721.4889758.216401e-09
0.51.4889077.965700e-09
0.5003991.4888887.972060e-09
0.5022331.4888028.001284e-09
0.5040741.4887168.030614e-09
0.5059221.4886318.060053e-09
0.5077771.4885478.089599e-09
0.5096381.4884638.119253e-09
0.5115061.488388.149016e-09
0.5133811.4882978.178889e-09
0.5152631.4882158.208870e-09
0.5171521.4881348.238962e-09
0.5190471.4880538.269164e-09
0.520951.4879738.299477e-09
0.522861.4878948.329900e-09
0.5247761.4878158.360436e-09
0.52671.4877368.391083e-09
0.5286311.4876588.421843e-09
0.5305681.4875818.452715e-09
0.5325131.4875048.483700e-09
0.5344651.4874288.514799e-09
0.5364241.4873528.546013e-09
0.5383911.4872778.577340e-09
0.5403641.4872028.608782e-09
0.5423451.4871288.640340e-09
0.5443331.4870558.672013e-09
0.5463281.4869828.703803e-09
0.5483311.4869098.735708e-09
0.551.4868498.762300e-09
0.5503411.4868378.767731e-09
0.5523581.4867658.799871e-09
0.5543831.4866948.832130e-09
0.5564151.4866248.864506e-09
0.5584551.4865548.897001e-09
0.5605021.4864848.929615e-09
0.5625561.4864158.962348e-09
0.5646191.4863478.995202e-09
0.5666881.4862789.028176e-09
0.5687651.4862119.061271e-09
0.570851.4861449.094487e-09
0.5729431.4860779.127825e-09
0.5750431.4860119.161285e-09
0.5771511.4859459.194868e-09
0.5792671.4858799.228574e-09
0.581391.4858159.262404e-09
0.5835211.485759.296357e-09
0.585661.4856869.330435e-09
0.5878071.4856229.364638e-09
0.5899611.4855599.398966e-09
0.5921241.4854979.433420e-09
0.5942951.4854349.468001e-09
0.5964731.4853729.502708e-09
0.5986591.4853119.537542e-09
0.61.4852739.558900e-09
0.6008541.485259.572496e-09
0.6030561.4851899.607564e-09
0.6052671.4851299.642761e-09
0.6074861.4850699.678087e-09
0.6097121.4850099.713542e-09
0.6119471.484959.749127e-09
0.6141911.4848929.784843e-09
0.6164421.4848339.820689e-09
0.6187021.4847759.856667e-09
0.620971.4847189.892777e-09
0.6232461.4846619.929019e-09
0.625531.4846049.965394e-09
0.6278231.4845481.000190e-08
0.6301251.4844911.003854e-08
0.6324341.4844361.007532e-08
0.6347531.484381.011223e-08
0.6370791.4843251.014928e-08
0.6394151.4842711.018646e-08
0.6417591.4842161.022378e-08
0.6441111.4841621.026124e-08
0.6464721.4841091.029883e-08
0.6488421.4840551.033656e-08
0.651.484031.035500e-08
0.651221.4840031.037445e-08
0.6536071.483951.041250e-08
0.6560031.4838981.045069e-08
0.6584081.4838461.048902e-08
0.6608211.4837941.052749e-08
0.6632441.4837431.056610e-08
0.6656751.4836921.060486e-08
0.6681151.4836411.064375e-08
0.6705641.4835911.068279e-08
0.6730221.483541.072197e-08
0.6754891.4834911.076130e-08
0.6779651.4834411.080077e-08
0.680451.4833921.084038e-08
0.6829451.4833431.088014e-08
0.6854481.4832941.092004e-08
0.6879611.4832461.096009e-08
0.6904821.4831981.100029e-08
0.6930131.483151.104063e-08
0.6955541.4831031.108113e-08
0.6981031.4830561.112177e-08
0.71.4830211.115200e-08
0.7006621.4830091.116255e-08
0.7032311.4829621.120347e-08
0.7058091.4829161.124453e-08
0.7083961.4828691.128574e-08
0.7109921.4828241.132711e-08
0.7135991.4827781.136863e-08
0.7162141.4827331.141030e-08
0.718841.4826871.145212e-08
0.7214751.4826431.149409e-08
0.7241191.4825981.153622e-08
0.7267741.4825541.157851e-08
0.7294381.4825091.162095e-08
0.7321121.4824661.166354e-08
0.7347951.4824221.170629e-08
0.7374891.4823791.174920e-08
0.7401921.4823351.179226e-08
0.7429051.4822921.183548e-08
0.7456291.482251.187886e-08
0.7483621.4822071.192240e-08
0.7511051.4821651.196610e-08
0.7538581.4821231.200996e-08
0.7566221.4820811.205398e-08
0.7593951.4820391.209816e-08
0.7621791.4819981.214251e-08
0.7649731.4819571.218701e-08
0.7677771.4819161.223168e-08
0.7705911.4818751.227652e-08
0.7734161.4818341.232151e-08
0.7762511.4817941.236668e-08
0.7790961.4817541.241200e-08
0.7819521.4817141.245750e-08
0.7848181.4816741.250316e-08
0.7876951.4816341.254899e-08
0.7905831.4815951.259498e-08
0.7934811.4815561.264115e-08
0.7963891.4815171.268748e-08
0.7993091.4814781.273398e-08
0.81.4814691.274500e-08
0.8022381.4814391.278066e-08
0.8051791.4814011.282751e-08
0.8081311.4813621.287453e-08
0.8110931.4813241.292172e-08
0.8140661.4812861.296908e-08
0.817051.4812481.301662e-08
0.8200451.4812111.306433e-08
0.8230511.4811731.311222e-08
0.8260681.4811361.316028e-08
0.8290961.4810981.320852e-08
0.8321351.4810611.325694e-08
0.8351861.4810251.330553e-08
0.8382471.4809881.335431e-08
0.841321.4809511.340326e-08
0.8444041.4809151.345239e-08
0.8474991.4808781.350169e-08
0.8506061.4808421.355119e-08
0.8537241.4808061.360086e-08
0.8568531.480771.365071e-08
0.8599941.4807351.370075e-08
0.8631461.4806991.375097e-08
0.866311.4806641.380137e-08
0.8694861.4806281.385196e-08
0.8726731.4805931.390274e-08
0.8758721.4805581.395370e-08
0.8790821.4805231.400484e-08
0.8823051.4804881.405618e-08
0.8855391.4804541.410770e-08
0.8887851.4804191.415941e-08
0.8920431.4803851.421132e-08
0.8953131.480351.426341e-08
0.8985951.4803161.431569e-08
0.9018891.4802821.436817e-08
0.9051951.4802481.442083e-08
0.9085131.4802141.447369e-08
0.9118431.480181.452675e-08
0.9151861.4801461.457999e-08
0.918541.4801131.463344e-08
0.9219071.4800791.468708e-08
0.9252871.4800461.474091e-08
0.9286781.4800121.479494e-08
0.9320831.4799791.484918e-08
0.9354991.4799461.490361e-08
0.9389281.4799131.495824e-08
0.942371.479881.501307e-08
0.9458241.4798471.506810e-08
0.9492911.4798141.512333e-08
0.9527711.4797821.517876e-08
0.9562641.4797491.523440e-08
0.9597691.4797161.529024e-08
0.9632871.4796841.534629e-08
0.9668181.4796521.540254e-08
0.9703621.4796191.545900e-08
0.9739191.4795871.551567e-08
0.9774891.4795551.557254e-08
0.9810721.4795231.562962e-08
0.9846681.4794911.568691e-08
0.9882781.4794591.574441e-08
0.9919011.4794271.580212e-08
0.9955361.4793951.586005e-08
0.9991861.4793631.591818e-08
1.002851.4793311.597653e-08
1.006521.47931.603509e-08
1.010211.4792681.609387e-08
1.013921.4792361.615286e-08
1.017631.4792051.621207e-08
1.021361.4791731.627150e-08
1.025111.4791421.633114e-08
1.028871.479111.639100e-08
1.032641.4790791.645108e-08
1.036421.4790481.651139e-08
1.040221.4790161.657191e-08
1.044031.4789851.663265e-08
1.047861.4789541.669362e-08
1.05171.4789231.675481e-08
1.055561.4788911.681623e-08
1.059431.478861.687787e-08
1.061.4788561.688700e-08
1.063311.4788291.693974e-08
1.067211.4787981.700184e-08
1.071121.4787671.706416e-08
1.075051.4787361.712671e-08
1.078991.4787051.718950e-08
1.082941.4786741.725251e-08
1.086911.4786431.731575e-08
1.09091.4786121.737923e-08
1.094891.4785811.744294e-08
1.098911.478551.750688e-08
1.102941.4785191.757105e-08
1.106981.4784881.763547e-08
1.111041.4784571.770011e-08
1.115111.4784271.776500e-08
1.11921.4783961.783012e-08
1.12331.4783651.789548e-08
1.127421.4783341.796108e-08
1.131551.4783031.802692e-08
1.13571.4782721.809301e-08
1.139861.4782411.815933e-08
1.144041.478211.822590e-08
1.148231.4781791.829271e-08
1.152441.4781481.835977e-08
1.156671.4781171.842707e-08
1.160911.4780861.849462e-08
1.165161.4780551.856241e-08
1.169431.4780241.863046e-08
1.173721.4779931.869875e-08
1.178021.4779621.876730e-08
1.182341.4779311.883610e-08
1.186671.47791.890514e-08
1.191021.4778691.897445e-08
1.195391.4778381.904400e-08
1.199771.4778071.911381e-08
1.204171.4777751.918388e-08
1.208581.4777441.925420e-08
1.213011.4777131.932478e-08
1.217461.4776821.939562e-08
1.221921.477651.946672e-08
1.22641.4776191.953808e-08
1.23091.4775871.960970e-08
1.235411.4775561.968159e-08
1.239941.4775241.975374e-08
1.244481.4774931.982615e-08
1.249041.4774611.989883e-08
1.253621.477431.997177e-08
1.258221.4773982.004498e-08
1.262831.4773662.011846e-08
1.267461.4773342.019221e-08
1.272111.4773022.026623e-08
1.276771.4772712.034052e-08
1.281451.4772382.041509e-08
1.286151.4772062.048992e-08
1.290861.4771742.056503e-08
1.295591.4771422.064042e-08
1.300341.477112.071608e-08
1.305111.4770772.079202e-08
1.309891.4770452.086824e-08
1.314691.4770132.094474e-08
1.319511.476982.102151e-08
1.324351.4769472.109857e-08
1.32921.4769152.117592e-08
1.334081.4768822.125354e-08
1.338971.4768492.133145e-08
1.343881.4768162.140965e-08
1.34881.4767832.148813e-08
1.353751.476752.156690e-08
1.358711.4767172.164596e-08
1.363691.4766832.172531e-08
1.368691.476652.180495e-08
1.37371.4766162.188488e-08
1.378741.4765832.196510e-08
1.383791.4765492.204562e-08
1.388871.4765152.212643e-08
1.393961.4764812.220754e-08
1.399071.4764472.228895e-08
1.40421.4764132.237065e-08
1.409341.4763792.245266e-08
1.414511.4763452.253496e-08
1.419691.476312.261757e-08
1.42491.4762762.270048e-08
1.430121.4762412.278370e-08
1.435361.4762062.286721e-08
1.440621.4761712.295104e-08
1.445911.4761362.303517e-08
1.451211.4761012.311961e-08
1.456521.4760662.320436e-08
1.461861.4760312.328942e-08
1.467221.4759952.337480e-08
1.47261.4759592.346048e-08
1.4781.4759242.354648e-08
1.483421.4758882.363280e-08
1.488851.4758522.371943e-08
1.494311.4758152.380638e-08
1.499791.4757792.389365e-08
1.51.4757782.389700e-08
1.505291.4757432.398123e-08
1.51081.4757062.406914e-08
1.516341.4756692.415738e-08
1.52191.4756322.424593e-08
1.527481.4755952.433481e-08
1.533081.4755582.442402e-08
1.53871.4755212.451355e-08
1.544341.4754832.460341e-08
1.551.4754452.469360e-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
—