Optical constants

Refractive index of K-PFK85(M) (SUMITA)

K-PFK85(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
1.48375
Extinction coefficient k
9.36134e-09
Permittivity ε1
2.2015
Permittivity ε2
2.77797e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
85.076
Chromatic dispersion dn/dλ
-0.0294144 µm⁻¹
Group index ng
1.50103
Group velocity dispersion
51.4273 fs²/mm
Dispersion parameter D
-280.563 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(M) (SUMITA): K-PFK85(M)
sumita_k_pfk85_m = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-PFK85(M)", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_pfk85_m.range_nm)  # (360, 1550) nm
eps = sumita_k_pfk85_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=2.180434−0.0050369414⁢λ2.0+0.007415342⁢λ−2.0+0.000191031⁢λ−4.0−1.3017551×10-5⁢λ−6.0+6.1457339×10-7⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C12.180434
C2-0.0050369414
C32.0
C40.007415342
C5-2.0
C60.000191031
C7-4.0
C8-1.3017551e-05
C9-6.0
C106.1457339e-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
1.48375
Vd
85.0
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
0.0388
resistance
acid: 1.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -8.84e-06 K⁻¹ at 633 nm, dn/dT = -9.01e-06 K⁻¹ at 1310 nm, dn/dT = -9.01e-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(M) (SUMITA), K-PFK85(M): n and k versus wavelength
λ (µm)nk
0.361.4981897.547000e-08
0.361321.4980157.415421e-08
0.3626441.4978437.283359e-08
0.3639731.4976727.150813e-08
0.3653081.4975037.017781e-08
0.3666471.4973356.884262e-08
0.3679911.4971696.750253e-08
0.369341.4970036.615753e-08
0.371.4969236.549900e-08
0.3706931.496846.306464e-08
0.3720521.4966775.829424e-08
0.3734161.4965165.350635e-08
0.3747851.4963564.870090e-08
0.3761591.4961984.387784e-08
0.3775371.4960413.903710e-08
0.3789211.4958853.417862e-08
0.381.4957643.039200e-08
0.380311.495733.022241e-08
0.3817041.4955772.946068e-08
0.3831041.4954242.869617e-08
0.3845081.4952732.792886e-08
0.3859171.4951242.715873e-08
0.3873321.4949752.638578e-08
0.3887521.4948282.560999e-08
0.391.49472.492800e-08
0.3901771.4946822.476931e-08
0.3916071.4945372.348596e-08
0.3930431.4943932.219790e-08
0.3944831.494252.090512e-08
0.3959291.4941091.960760e-08
0.3973811.4939681.830533e-08
0.3988371.4938291.699828e-08
0.41.4937191.595500e-08
0.4002991.4936911.596694e-08
0.4017671.4935531.602549e-08
0.4032391.4934171.608425e-08
0.4047171.4932821.614323e-08
0.4062011.4931491.620242e-08
0.407691.4930161.626183e-08
0.4091841.4928841.632146e-08
0.4106841.4927531.638131e-08
0.412191.4926231.644137e-08
0.4137011.4924951.650166e-08
0.4152171.4923671.656216e-08
0.4167391.492241.662289e-08
0.4182671.4921141.668384e-08
0.41981.491991.674502e-08
0.421.4919731.675300e-08
0.4213391.4918661.680642e-08
0.4228831.4917431.686804e-08
0.4244331.4916211.692989e-08
0.4259891.49151.699197e-08
0.4275511.491381.705427e-08
0.4291181.4912611.711681e-08
0.4306911.4911431.717957e-08
0.432271.4910261.724256e-08
0.4338541.4909091.730578e-08
0.4354451.4907941.736924e-08
0.4370411.4906791.743293e-08
0.4386431.4905661.749685e-08
0.441.490471.755100e-08
0.4402511.4904531.756100e-08
0.4418641.4903411.762539e-08
0.4434841.490231.769002e-08
0.445111.4901191.775488e-08
0.4467411.490011.781998e-08
0.4483791.4899011.788532e-08
0.4500231.4897941.795090e-08
0.4516721.4896871.801672e-08
0.4533281.4895811.808278e-08
0.454991.4894751.814908e-08
0.4566571.4893711.821563e-08
0.4583311.4892671.828242e-08
0.461.4891651.834900e-08
0.4600111.4891641.834510e-08
0.4616981.4890621.776563e-08
0.463391.488961.718403e-08
0.4650891.488861.660030e-08
0.4667931.488761.601444e-08
0.4685051.4886611.542642e-08
0.4702221.4885621.483625e-08
0.4719461.4884651.424392e-08
0.4736751.4883681.364941e-08
0.4754121.4882721.305273e-08
0.4771541.4881761.245386e-08
0.4789041.4880811.185279e-08
0.481.4880221.147600e-08
0.4806591.4879871.136033e-08
0.4824211.4878941.105109e-08
0.4841891.4878011.074071e-08
0.4859641.4877091.042920e-08
0.4877461.4876181.011655e-08
0.4895331.4875279.802745e-09
0.4913281.4874379.487793e-09
0.4931291.4873489.171688e-09
0.4949361.4872598.854423e-09
0.4967511.4871718.535996e-09
0.4985721.4870848.216401e-09
0.51.4870167.965700e-09
0.5003991.4869977.972060e-09
0.5022331.4869118.001284e-09
0.5040741.4868268.030614e-09
0.5059221.4867418.060053e-09
0.5077771.4866578.089599e-09
0.5096381.4865738.119253e-09
0.5115061.486498.149016e-09
0.5133811.4864088.178889e-09
0.5152631.4863268.208870e-09
0.5171521.4862458.238962e-09
0.5190471.4861648.269164e-09
0.520951.4860848.299477e-09
0.522861.4860058.329900e-09
0.5247761.4859268.360436e-09
0.52671.4858488.391083e-09
0.5286311.485778.421843e-09
0.5305681.4856938.452715e-09
0.5325131.4856168.483700e-09
0.5344651.485548.514799e-09
0.5364241.4854658.546013e-09
0.5383911.485398.577340e-09
0.5403641.4853158.608782e-09
0.5423451.4852418.640340e-09
0.5443331.4851688.672013e-09
0.5463281.4850958.703803e-09
0.5483311.4850238.735708e-09
0.551.4849638.762300e-09
0.5503411.4849518.767731e-09
0.5523581.4848798.799871e-09
0.5543831.4848088.832130e-09
0.5564151.4847388.864506e-09
0.5584551.4846688.897001e-09
0.5605021.4845998.929615e-09
0.5625561.484538.962348e-09
0.5646191.4844628.995202e-09
0.5666881.4843949.028176e-09
0.5687651.4843269.061271e-09
0.570851.4842599.094487e-09
0.5729431.4841939.127825e-09
0.5750431.4841279.161285e-09
0.5771511.4840619.194868e-09
0.5792671.4839969.228574e-09
0.581391.4839319.262404e-09
0.5835211.4838679.296357e-09
0.585661.4838039.330435e-09
0.5878071.483749.364638e-09
0.5899611.4836779.398966e-09
0.5921241.4836149.433420e-09
0.5942951.4835529.468001e-09
0.5964731.483499.502708e-09
0.5986591.4834299.537542e-09
0.61.4833929.558900e-09
0.6008541.4833689.572496e-09
0.6030561.4833079.607564e-09
0.6052671.4832479.642761e-09
0.6074861.4831889.678087e-09
0.6097121.4831289.713542e-09
0.6119471.4830699.749127e-09
0.6141911.4830119.784843e-09
0.6164421.4829539.820689e-09
0.6187021.4828959.856667e-09
0.620971.4828389.892777e-09
0.6232461.4827819.929019e-09
0.625531.4827249.965394e-09
0.6278231.4826681.000190e-08
0.6301251.4826121.003854e-08
0.6324341.4825561.007532e-08
0.6347531.4825011.011223e-08
0.6370791.4824461.014928e-08
0.6394151.4823921.018646e-08
0.6417591.4823381.022378e-08
0.6441111.4822841.026124e-08
0.6464721.4822311.029883e-08
0.6488421.4821781.033656e-08
0.651.4821521.035500e-08
0.651221.4821251.037445e-08
0.6536071.4820721.041250e-08
0.6560031.482021.045069e-08
0.6584081.4819681.048902e-08
0.6608211.4819171.052749e-08
0.6632441.4818661.056610e-08
0.6656751.4818151.060486e-08
0.6681151.4817641.064375e-08
0.6705641.4817141.068279e-08
0.6730221.4816641.072197e-08
0.6754891.4816151.076130e-08
0.6779651.4815651.080077e-08
0.680451.4815161.084038e-08
0.6829451.4814681.088014e-08
0.6854481.4814191.092004e-08
0.6879611.4813711.096009e-08
0.6904821.4813231.100029e-08
0.6930131.4812761.104063e-08
0.6955541.4812281.108113e-08
0.6981031.4811811.112177e-08
0.71.4811461.115200e-08
0.7006621.4811341.116255e-08
0.7032311.4810881.120347e-08
0.7058091.4810421.124453e-08
0.7083961.4809961.128574e-08
0.7109921.480951.132711e-08
0.7135991.4809051.136863e-08
0.7162141.4808591.141030e-08
0.718841.4808141.145212e-08
0.7214751.480771.149409e-08
0.7241191.4807251.153622e-08
0.7267741.4806811.157851e-08
0.7294381.4806371.162095e-08
0.7321121.4805931.166354e-08
0.7347951.480551.170629e-08
0.7374891.4805071.174920e-08
0.7401921.4804641.179226e-08
0.7429051.4804211.183548e-08
0.7456291.4803781.187886e-08
0.7483621.4803361.192240e-08
0.7511051.4802941.196610e-08
0.7538581.4802521.200996e-08
0.7566221.480211.205398e-08
0.7593951.4801691.209816e-08
0.7621791.4801281.214251e-08
0.7649731.4800871.218701e-08
0.7677771.4800461.223168e-08
0.7705911.4800051.227652e-08
0.7734161.4799651.232151e-08
0.7762511.4799241.236668e-08
0.7790961.4798841.241200e-08
0.7819521.4798451.245750e-08
0.7848181.4798051.250316e-08
0.7876951.4797651.254899e-08
0.7905831.4797261.259498e-08
0.7934811.4796871.264115e-08
0.7963891.4796481.268748e-08
0.7993091.4796091.273398e-08
0.81.47961.274500e-08
0.8022381.4795711.278066e-08
0.8051791.4795331.282751e-08
0.8081311.4794941.287453e-08
0.8110931.4794561.292172e-08
0.8140661.4794181.296908e-08
0.817051.4793811.301662e-08
0.8200451.4793431.306433e-08
0.8230511.4793061.311222e-08
0.8260681.4792691.316028e-08
0.8290961.4792321.320852e-08
0.8321351.4791951.325694e-08
0.8351861.4791581.330553e-08
0.8382471.4791211.335431e-08
0.841321.4790851.340326e-08
0.8444041.4790491.345239e-08
0.8474991.4790121.350169e-08
0.8506061.4789761.355119e-08
0.8537241.4789411.360086e-08
0.8568531.4789051.365071e-08
0.8599941.4788691.370075e-08
0.8631461.4788341.375097e-08
0.866311.4787981.380137e-08
0.8694861.4787631.385196e-08
0.8726731.4787281.390274e-08
0.8758721.4786931.395370e-08
0.8790821.4786581.400484e-08
0.8823051.4786241.405618e-08
0.8855391.4785891.410770e-08
0.8887851.4785551.415941e-08
0.8920431.478521.421132e-08
0.8953131.4784861.426341e-08
0.8985951.4784521.431569e-08
0.9018891.4784181.436817e-08
0.9051951.4783841.442083e-08
0.9085131.478351.447369e-08
0.9118431.4783161.452675e-08
0.9151861.4782831.457999e-08
0.918541.4782491.463344e-08
0.9219071.4782161.468708e-08
0.9252871.4781831.474091e-08
0.9286781.4781491.479494e-08
0.9320831.4781161.484918e-08
0.9354991.4780831.490361e-08
0.9389281.478051.495824e-08
0.942371.4780171.501307e-08
0.9458241.4779851.506810e-08
0.9492911.4779521.512333e-08
0.9527711.4779191.517876e-08
0.9562641.4778871.523440e-08
0.9597691.4778541.529024e-08
0.9632871.4778221.534629e-08
0.9668181.477791.540254e-08
0.9703621.4777571.545900e-08
0.9739191.4777251.551567e-08
0.9774891.4776931.557254e-08
0.9810721.4776611.562962e-08
0.9846681.4776291.568691e-08
0.9882781.4775971.574441e-08
0.9919011.4775651.580212e-08
0.9955361.4775341.586005e-08
0.9991861.4775021.591818e-08
1.002851.477471.597653e-08
1.006521.4774391.603509e-08
1.010211.4774071.609387e-08
1.013921.4773761.615286e-08
1.017631.4773441.621207e-08
1.021361.4773131.627150e-08
1.025111.4772811.633114e-08
1.028871.477251.639100e-08
1.032641.4772191.645108e-08
1.036421.4771871.651139e-08
1.040221.4771561.657191e-08
1.044031.4771251.663265e-08
1.047861.4770941.669362e-08
1.05171.4770631.675481e-08
1.055561.4770311.681623e-08
1.059431.4771.687787e-08
1.061.4769961.688700e-08
1.063311.4769691.693974e-08
1.067211.4769381.700184e-08
1.071121.4769071.706416e-08
1.075051.4768761.712671e-08
1.078991.4768451.718950e-08
1.082941.4768141.725251e-08
1.086911.4767841.731575e-08
1.09091.4767531.737923e-08
1.094891.4767221.744294e-08
1.098911.4766911.750688e-08
1.102941.476661.757105e-08
1.106981.4766291.763547e-08
1.111041.4765981.770011e-08
1.115111.4765671.776500e-08
1.11921.4765371.783012e-08
1.12331.4765061.789548e-08
1.127421.4764751.796108e-08
1.131551.4764441.802692e-08
1.13571.4764131.809301e-08
1.139861.4763821.815933e-08
1.144041.4763511.822590e-08
1.148231.476321.829271e-08
1.152441.4762891.835977e-08
1.156671.4762591.842707e-08
1.160911.4762281.849462e-08
1.165161.4761971.856241e-08
1.169431.4761661.863046e-08
1.173721.4761351.869875e-08
1.178021.4761041.876730e-08
1.182341.4760731.883610e-08
1.186671.4760421.890514e-08
1.191021.476011.897445e-08
1.195391.4759791.904400e-08
1.199771.4759481.911381e-08
1.204171.4759171.918388e-08
1.208581.4758861.925420e-08
1.213011.4758551.932478e-08
1.217461.4758231.939562e-08
1.221921.4757921.946672e-08
1.22641.4757611.953808e-08
1.23091.4757291.960970e-08
1.235411.4756981.968159e-08
1.239941.4756661.975374e-08
1.244481.4756351.982615e-08
1.249041.4756031.989883e-08
1.253621.4755711.997177e-08
1.258221.475542.004498e-08
1.262831.4755082.011846e-08
1.267461.4754762.019221e-08
1.272111.4754442.026623e-08
1.276771.4754122.034052e-08
1.281451.475382.041509e-08
1.286151.4753482.048992e-08
1.290861.4753162.056503e-08
1.295591.4752842.064042e-08
1.300341.4752512.071608e-08
1.305111.4752192.079202e-08
1.309891.4751872.086824e-08
1.314691.4751542.094474e-08
1.319511.4751222.102151e-08
1.324351.4750892.109857e-08
1.32921.4750562.117592e-08
1.334081.4750232.125354e-08
1.338971.474992.133145e-08
1.343881.4749582.140965e-08
1.34881.4749242.148813e-08
1.353751.4748912.156690e-08
1.358711.4748582.164596e-08
1.363691.4748252.172531e-08
1.368691.4747912.180495e-08
1.37371.4747582.188488e-08
1.378741.4747242.196510e-08
1.383791.474692.204562e-08
1.388871.4746572.212643e-08
1.393961.4746232.220754e-08
1.399071.4745892.228895e-08
1.40421.4745542.237065e-08
1.409341.474522.245266e-08
1.414511.4744862.253496e-08
1.419691.4744512.261757e-08
1.42491.4744172.270048e-08
1.430121.4743822.278370e-08
1.435361.4743472.286721e-08
1.440621.4743122.295104e-08
1.445911.4742772.303517e-08
1.451211.4742422.311961e-08
1.456521.4742072.320436e-08
1.461861.4741712.328942e-08
1.467221.4741352.337480e-08
1.47261.47412.346048e-08
1.4781.4740642.354648e-08
1.483421.4740282.363280e-08
1.488851.4739922.371943e-08
1.494311.4739552.380638e-08
1.499791.4739192.389365e-08
1.51.4739182.389700e-08
1.505291.4738822.398123e-08
1.51081.4738462.406914e-08
1.516341.4738092.415738e-08
1.52191.4737722.424593e-08
1.527481.4737352.433481e-08
1.533081.4736972.442402e-08
1.53871.473662.451355e-08
1.544341.4736222.460341e-08
1.551.4735852.469360e-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
—