Optical constants

Refractive index of K-PFK90(M) (SUMITA)

K-PFK90(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
1.45733
Extinction coefficient k
9.36134e-09
Permittivity ε1
2.1238
Permittivity ε2
2.72851e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
89.808
Chromatic dispersion dn/dλ
-0.0263751 µm⁻¹
Group index ng
1.47283
Group velocity dispersion
45.4949 fs²/mm
Dispersion parameter D
-248.199 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-PFK90(M) (SUMITA): K-PFK90(M)
sumita_k_pfk90_m = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-PFK90(M)", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_pfk90_m.range_nm)  # (360, 1550) nm
eps = sumita_k_pfk90_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=2.1052634−0.0048076047⁢λ2.0+0.0067206257⁢λ−2.0+8.8399512×10-5⁢λ−4.0−3.9955764×10-8⁢λ−6.0−6.7493689×10-8⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C12.1052634
C2-0.0048076047
C32.0
C40.0067206257
C5-2.0
C68.8399512e-05
C7-4.0
C8-3.9955764e-08
C9-6.0
C10-6.7493689e-08
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -2.23e-05 -2.13e-09 9.79e-11 2.57e-07 -1.68e-10 0.221
nd
1.45733
Vd
89.8
glass code
459900
density
value: 3720
thermal expansion
value: 1.37e-05, temperature range: 243 343; value: 1.65e-05, temperature range: 293 573
dPgF
0.0449
resistance
acid: 2.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -8.30e-06 K⁻¹ at 633 nm, dn/dT = -8.41e-06 K⁻¹ at 1310 nm, dn/dT = -8.40e-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-PFK90(M) (SUMITA), K-PFK90(M): n and k versus wavelength
λ (µm)nk
0.361.4702056.666000e-08
0.361321.4700516.137610e-08
0.3626441.4698995.607284e-08
0.3639731.4697485.075014e-08
0.3653081.4695974.540792e-08
0.3666471.4694494.004612e-08
0.3679911.4693013.466467e-08
0.369341.4691542.926349e-08
0.371.4690832.661900e-08
0.3706931.4690092.540321e-08
0.3720521.4688652.302072e-08
0.3734161.4687222.062950e-08
0.3747851.468581.822952e-08
0.3761591.4684391.582074e-08
0.3775371.4682991.340313e-08
0.3789211.4681611.097665e-08
0.381.4680549.085500e-09
0.380311.4680239.286366e-09
0.3817041.4678871.018854e-08
0.3831041.4677511.109402e-08
0.3845081.4676171.200282e-08
0.3859171.4674841.291495e-08
0.3873321.4673521.383042e-08
0.3887521.4672211.474925e-08
0.391.4671061.555700e-08
0.3901771.467091.539457e-08
0.3916071.4669611.408098e-08
0.3930431.4668331.276258e-08
0.3944831.4667061.143934e-08
0.3959291.466581.011126e-08
0.3973811.4664558.778302e-09
0.3988371.4663317.440462e-09
0.41.4662336.372600e-09
0.4002991.4662086.427511e-09
0.4017671.4660856.696725e-09
0.4032391.4659646.966925e-09
0.4047171.4658447.238116e-09
0.4062011.4657257.510300e-09
0.407691.4656067.783483e-09
0.4091841.4654898.057667e-09
0.4106841.4653728.332856e-09
0.412191.4652568.609053e-09
0.4137011.4651428.886264e-09
0.4152171.4650289.164490e-09
0.4167391.4649159.443736e-09
0.4182671.4648029.724006e-09
0.41981.4646911.000530e-08
0.421.4646771.004200e-08
0.4213391.4645819.839023e-09
0.4228831.4644719.604867e-09
0.4244331.4643629.369852e-09
0.4259891.4642559.133976e-09
0.4275511.4641488.897235e-09
0.4291181.4640418.659626e-09
0.4306911.4639368.421147e-09
0.432271.4638318.181793e-09
0.4338541.4637277.941562e-09
0.4354451.4636247.700450e-09
0.4370411.4635227.458454e-09
0.4386431.4634217.215571e-09
0.441.4633367.009800e-09
0.4402511.463327.013794e-09
0.4418641.463227.039510e-09
0.4434841.4631217.065320e-09
0.445111.4630237.091224e-09
0.4467411.4629257.117224e-09
0.4483791.4628287.143319e-09
0.4500231.4627327.169509e-09
0.4516721.4626377.195796e-09
0.4533281.4625427.222179e-09
0.454991.4624487.248658e-09
0.4566571.4623557.275235e-09
0.4583311.4622627.301909e-09
0.461.4621717.328500e-09
0.4600111.462177.328681e-09
0.4616981.4620797.355543e-09
0.463391.4619897.382503e-09
0.4650891.4618997.409561e-09
0.4667931.461817.436719e-09
0.4685051.4617217.463977e-09
0.4702221.4616337.491334e-09
0.4719461.4615467.518792e-09
0.4736751.461467.546351e-09
0.4754121.4613747.574010e-09
0.4771541.4612887.601771e-09
0.4789041.4612047.629634e-09
0.481.4611517.647100e-09
0.4806591.461127.657598e-09
0.4824211.4610377.685666e-09
0.4841891.4609547.713836e-09
0.4859641.4608727.742109e-09
0.4877461.460797.770486e-09
0.4895331.4607097.798967e-09
0.4913281.4606297.827553e-09
0.4931291.4605497.856243e-09
0.4949361.460477.885038e-09
0.4967511.4603917.913939e-09
0.4985721.4603137.942946e-09
0.51.4602537.965700e-09
0.5003991.4602367.972060e-09
0.5022331.4601598.001284e-09
0.5040741.4600838.030614e-09
0.5059221.4600078.060053e-09
0.5077771.4599328.089599e-09
0.5096381.4598578.119253e-09
0.5115061.4597838.149016e-09
0.5133811.459718.178889e-09
0.5152631.4596378.208870e-09
0.5171521.4595648.238962e-09
0.5190471.4594928.269164e-09
0.520951.4594218.299477e-09
0.522861.459358.329900e-09
0.5247761.4592798.360436e-09
0.52671.4592098.391083e-09
0.5286311.459148.421843e-09
0.5305681.4590718.452715e-09
0.5325131.4590028.483700e-09
0.5344651.4589348.514799e-09
0.5364241.4588678.546013e-09
0.5383911.45888.577340e-09
0.5403641.4587338.608782e-09
0.5423451.4586678.640340e-09
0.5443331.4586018.672013e-09
0.5463281.4585368.703803e-09
0.5483311.4584718.735708e-09
0.551.4584188.762300e-09
0.5503411.4584078.767731e-09
0.5523581.4583438.799871e-09
0.5543831.458288.832130e-09
0.5564151.4582178.864506e-09
0.5584551.4581548.897001e-09
0.5605021.4580928.929615e-09
0.5625561.458038.962348e-09
0.5646191.4579698.995202e-09
0.5666881.4579089.028176e-09
0.5687651.4578489.061271e-09
0.570851.4577889.094487e-09
0.5729431.4577289.127825e-09
0.5750431.4576699.161285e-09
0.5771511.457619.194868e-09
0.5792671.4575529.228574e-09
0.581391.4574949.262404e-09
0.5835211.4574369.296357e-09
0.585661.4573799.330435e-09
0.5878071.4573229.364638e-09
0.5899611.4572669.398966e-09
0.5921241.457219.433420e-09
0.5942951.4571549.468001e-09
0.5964731.4570999.502708e-09
0.5986591.4570439.537542e-09
0.61.457019.558900e-09
0.6008541.4569899.572496e-09
0.6030561.4569359.607564e-09
0.6052671.4568819.642761e-09
0.6074861.4568279.678087e-09
0.6097121.4567749.713542e-09
0.6119471.4567219.749127e-09
0.6141911.4566689.784843e-09
0.6164421.4566169.820689e-09
0.6187021.4565649.856667e-09
0.620971.4565139.892777e-09
0.6232461.4564619.929019e-09
0.625531.4564119.965394e-09
0.6278231.456361.000190e-08
0.6301251.456311.003854e-08
0.6324341.456261.007532e-08
0.6347531.456211.011223e-08
0.6370791.4561611.014928e-08
0.6394151.4561121.018646e-08
0.6417591.4560631.022378e-08
0.6441111.4560151.026124e-08
0.6464721.4559661.029883e-08
0.6488421.4559191.033656e-08
0.651.4558951.035500e-08
0.651221.4558711.037445e-08
0.6536071.4558241.041250e-08
0.6560031.4557771.045069e-08
0.6584081.455731.048902e-08
0.6608211.4556841.052749e-08
0.6632441.4556381.056610e-08
0.6656751.4555921.060486e-08
0.6681151.4555461.064375e-08
0.6705641.4555011.068279e-08
0.6730221.4554561.072197e-08
0.6754891.4554111.076130e-08
0.6779651.4553671.080077e-08
0.680451.4553221.084038e-08
0.6829451.4552781.088014e-08
0.6854481.4552341.092004e-08
0.6879611.4551911.096009e-08
0.6904821.4551481.100029e-08
0.6930131.4551051.104063e-08
0.6955541.4550621.108113e-08
0.6981031.4550191.112177e-08
0.71.4549881.115200e-08
0.7006621.4549771.116255e-08
0.7032311.4549351.120347e-08
0.7058091.4548931.124453e-08
0.7083961.4548511.128574e-08
0.7109921.454811.132711e-08
0.7135991.4547691.136863e-08
0.7162141.4547281.141030e-08
0.718841.4546871.145212e-08
0.7214751.4546471.149409e-08
0.7241191.4546061.153622e-08
0.7267741.4545661.157851e-08
0.7294381.4545271.162095e-08
0.7321121.4544871.166354e-08
0.7347951.4544471.170629e-08
0.7374891.4544081.174920e-08
0.7401921.4543691.179226e-08
0.7429051.454331.183548e-08
0.7456291.4542921.187886e-08
0.7483621.4542531.192240e-08
0.7511051.4542151.196610e-08
0.7538581.4541771.200996e-08
0.7566221.4541391.205398e-08
0.7593951.4541011.209816e-08
0.7621791.4540641.214251e-08
0.7649731.4540261.218701e-08
0.7677771.4539891.223168e-08
0.7705911.4539521.227652e-08
0.7734161.4539151.232151e-08
0.7762511.4538781.236668e-08
0.7790961.4538421.241200e-08
0.7819521.4538061.245750e-08
0.7848181.4537691.250316e-08
0.7876951.4537331.254899e-08
0.7905831.4536981.259498e-08
0.7934811.4536621.264115e-08
0.7963891.4536261.268748e-08
0.7993091.4535911.273398e-08
0.81.4535831.274500e-08
0.8022381.4535561.278066e-08
0.8051791.4535211.282751e-08
0.8081311.4534861.287453e-08
0.8110931.4534511.292172e-08
0.8140661.4534161.296908e-08
0.817051.4533821.301662e-08
0.8200451.4533481.306433e-08
0.8230511.4533131.311222e-08
0.8260681.4532791.316028e-08
0.8290961.4532451.320852e-08
0.8321351.4532121.325694e-08
0.8351861.4531781.330553e-08
0.8382471.4531441.335431e-08
0.841321.4531111.340326e-08
0.8444041.4530781.345239e-08
0.8474991.4530441.350169e-08
0.8506061.4530111.355119e-08
0.8537241.4529781.360086e-08
0.8568531.4529461.365071e-08
0.8599941.4529131.370075e-08
0.8631461.452881.375097e-08
0.866311.4528481.380137e-08
0.8694861.4528151.385196e-08
0.8726731.4527831.390274e-08
0.8758721.4527511.395370e-08
0.8790821.4527191.400484e-08
0.8823051.4526871.405618e-08
0.8855391.4526551.410770e-08
0.8887851.4526231.415941e-08
0.8920431.4525921.421132e-08
0.8953131.452561.426341e-08
0.8985951.4525291.431569e-08
0.9018891.4524971.436817e-08
0.9051951.4524661.442083e-08
0.9085131.4524351.447369e-08
0.9118431.4524041.452675e-08
0.9151861.4523731.457999e-08
0.918541.4523421.463344e-08
0.9219071.4523111.468708e-08
0.9252871.452281.474091e-08
0.9286781.4522491.479494e-08
0.9320831.4522191.484918e-08
0.9354991.4521881.490361e-08
0.9389281.4521581.495824e-08
0.942371.4521271.501307e-08
0.9458241.4520971.506810e-08
0.9492911.4520671.512333e-08
0.9527711.4520361.517876e-08
0.9562641.4520061.523440e-08
0.9597691.4519761.529024e-08
0.9632871.4519461.534629e-08
0.9668181.4519161.540254e-08
0.9703621.4518861.545900e-08
0.9739191.4518561.551567e-08
0.9774891.4518271.557254e-08
0.9810721.4517971.562962e-08
0.9846681.4517671.568691e-08
0.9882781.4517371.574441e-08
0.9919011.4517081.580212e-08
0.9955361.4516781.586005e-08
0.9991861.4516491.591818e-08
1.002851.4516191.597653e-08
1.006521.451591.603509e-08
1.010211.451561.609387e-08
1.013921.4515311.615286e-08
1.017631.4515021.621207e-08
1.021361.4514721.627150e-08
1.025111.4514431.633114e-08
1.028871.4514141.639100e-08
1.032641.4513851.645108e-08
1.036421.4513551.651139e-08
1.040221.4513261.657191e-08
1.044031.4512971.663265e-08
1.047861.4512681.669362e-08
1.05171.4512391.675481e-08
1.055561.451211.681623e-08
1.059431.4511811.687787e-08
1.061.4511761.688700e-08
1.063311.4511521.693974e-08
1.067211.4511231.700184e-08
1.071121.4510941.706416e-08
1.075051.4510651.712671e-08
1.078991.4510361.718950e-08
1.082941.4510071.725251e-08
1.086911.4509781.731575e-08
1.09091.4509491.737923e-08
1.094891.450921.744294e-08
1.098911.4508911.750688e-08
1.102941.4508621.757105e-08
1.106981.4508331.763547e-08
1.111041.4508041.770011e-08
1.115111.4507751.776500e-08
1.11921.4507461.783012e-08
1.12331.4507171.789548e-08
1.127421.4506881.796108e-08
1.131551.4506591.802692e-08
1.13571.450631.809301e-08
1.139861.4506011.815933e-08
1.144041.4505711.822590e-08
1.148231.4505421.829271e-08
1.152441.4505131.835977e-08
1.156671.4504841.842707e-08
1.160911.4504551.849462e-08
1.165161.4504261.856241e-08
1.169431.4503971.863046e-08
1.173721.4503671.869875e-08
1.178021.4503381.876730e-08
1.182341.4503091.883610e-08
1.186671.4502791.890514e-08
1.191021.450251.897445e-08
1.195391.4502211.904400e-08
1.199771.4501911.911381e-08
1.204171.4501621.918388e-08
1.208581.4501321.925420e-08
1.213011.4501031.932478e-08
1.217461.4500731.939562e-08
1.221921.4500431.946672e-08
1.22641.4500141.953808e-08
1.23091.4499841.960970e-08
1.235411.4499541.968159e-08
1.239941.4499241.975374e-08
1.244481.4498941.982615e-08
1.249041.4498651.989883e-08
1.253621.4498341.997177e-08
1.258221.4498042.004498e-08
1.262831.4497742.011846e-08
1.267461.4497442.019221e-08
1.272111.4497142.026623e-08
1.276771.4496842.034052e-08
1.281451.4496532.041509e-08
1.286151.4496232.048992e-08
1.290861.4495922.056503e-08
1.295591.4495622.064042e-08
1.300341.4495312.071608e-08
1.305111.44952.079202e-08
1.309891.4494692.086824e-08
1.314691.4494382.094474e-08
1.319511.4494072.102151e-08
1.324351.4493762.109857e-08
1.32921.4493452.117592e-08
1.334081.4493142.125354e-08
1.338971.4492832.133145e-08
1.343881.4492512.140965e-08
1.34881.449222.148813e-08
1.353751.4491882.156690e-08
1.358711.4491562.164596e-08
1.363691.4491252.172531e-08
1.368691.4490932.180495e-08
1.37371.4490612.188488e-08
1.378741.4490292.196510e-08
1.383791.4489972.204562e-08
1.388871.4489642.212643e-08
1.393961.4489322.220754e-08
1.399071.4488992.228895e-08
1.40421.4488672.237065e-08
1.409341.4488342.245266e-08
1.414511.4488012.253496e-08
1.419691.4487682.261757e-08
1.42491.4487352.270048e-08
1.430121.4487022.278370e-08
1.435361.4486692.286721e-08
1.440621.4486352.295104e-08
1.445911.4486022.303517e-08
1.451211.4485682.311961e-08
1.456521.4485342.320436e-08
1.461861.44852.328942e-08
1.467221.4484662.337480e-08
1.47261.4484322.346048e-08
1.4781.4483982.354648e-08
1.483421.4483632.363280e-08
1.488851.4483292.371943e-08
1.494311.4482942.380638e-08
1.499791.4482592.389365e-08
1.51.4482582.389700e-08
1.505291.4482242.398123e-08
1.51081.4481892.406914e-08
1.516341.4481542.415738e-08
1.52191.4481182.424593e-08
1.527481.4480832.433481e-08
1.533081.4480472.442402e-08
1.53871.4480112.451355e-08
1.544341.4479752.460341e-08
1.551.4479382.469360e-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
—