Optical constants

Refractive index of K-PFK90 (SUMITA)

K-PFK90: 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
1.4588
Extinction coefficient k
9.36134e-09
Permittivity ε1
2.1281
Permittivity ε2
2.73127e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
89.955
Chromatic dispersion dn/dλ
-0.0264224 µm⁻¹
Group index ng
1.47433
Group velocity dispersion
45.5258 fs²/mm
Dispersion parameter D
-248.368 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 (SUMITA): K-PFK90
sumita_k_pfk90 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-PFK90", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_pfk90.range_nm)  # (360, 1550) nm
eps = sumita_k_pfk90.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=2.1094643−0.0048026812⁢λ2.0+0.0067645351⁢λ−2.0+8.3329962×10-5⁢λ−4.0+3.4196126×10-7⁢λ−6.0−8.4933854×10-8⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C12.1094643
C2-0.0048026812
C32.0
C40.0067645351
C5-2.0
C68.3329962e-05
C7-4.0
C83.4196126e-07
C9-6.0
C10-8.4933854e-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
1.45880
Vd
90.0
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
0.0442
resistance
acid: 2.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -8.32e-06 K⁻¹ at 633 nm, dn/dT = -8.43e-06 K⁻¹ at 1310 nm, dn/dT = -8.43e-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 (SUMITA), K-PFK90: n and k versus wavelength
λ (µm)nk
0.361.4716846.666000e-08
0.361321.4715316.137610e-08
0.3626441.4713785.607284e-08
0.3639731.4712275.075014e-08
0.3653081.4710774.540792e-08
0.3666471.4709294.004612e-08
0.3679911.4707813.466467e-08
0.369341.4706352.926349e-08
0.371.4705632.661900e-08
0.3706931.4704892.540321e-08
0.3720521.4703452.302072e-08
0.3734161.4702022.062950e-08
0.3747851.470061.822952e-08
0.3761591.4699191.582074e-08
0.3775371.469781.340313e-08
0.3789211.4696411.097665e-08
0.381.4695349.085500e-09
0.380311.4695049.286366e-09
0.3817041.4693671.018854e-08
0.3831041.4692321.109402e-08
0.3845081.4690981.200282e-08
0.3859171.4689651.291495e-08
0.3873321.4688321.383042e-08
0.3887521.4687011.474925e-08
0.391.4685871.555700e-08
0.3901771.4685711.539457e-08
0.3916071.4684421.408098e-08
0.3930431.4683141.276258e-08
0.3944831.4681871.143934e-08
0.3959291.4680611.011126e-08
0.3973811.4679368.778302e-09
0.3988371.4678127.440462e-09
0.41.4677146.372600e-09
0.4002991.4676886.427511e-09
0.4017671.4675666.696725e-09
0.4032391.4674456.966925e-09
0.4047171.4673257.238116e-09
0.4062011.4672057.510300e-09
0.407691.4670877.783483e-09
0.4091841.4669698.057667e-09
0.4106841.4668538.332856e-09
0.412191.4667378.609053e-09
0.4137011.4666228.886264e-09
0.4152171.4665089.164490e-09
0.4167391.4663959.443736e-09
0.4182671.4662839.724006e-09
0.41981.4661721.000530e-08
0.421.4661571.004200e-08
0.4213391.4660619.839023e-09
0.4228831.4659529.604867e-09
0.4244331.4658439.369852e-09
0.4259891.4657359.133976e-09
0.4275511.4656288.897235e-09
0.4291181.4655228.659626e-09
0.4306911.4654168.421147e-09
0.432271.4653128.181793e-09
0.4338541.4652087.941562e-09
0.4354451.4651057.700450e-09
0.4370411.4650027.458454e-09
0.4386431.4649017.215571e-09
0.441.4648167.009800e-09
0.4402511.46487.013794e-09
0.4418641.46477.039510e-09
0.4434841.4646017.065320e-09
0.445111.4645037.091224e-09
0.4467411.4644057.117224e-09
0.4483791.4643087.143319e-09
0.4500231.4642127.169509e-09
0.4516721.4641167.195796e-09
0.4533281.4640217.222179e-09
0.454991.4639277.248658e-09
0.4566571.4638347.275235e-09
0.4583311.4637417.301909e-09
0.461.463657.328500e-09
0.4600111.4636497.328681e-09
0.4616981.4635587.355543e-09
0.463391.4634687.382503e-09
0.4650891.4633787.409561e-09
0.4667931.4632887.436719e-09
0.4685051.46327.463977e-09
0.4702221.4631127.491334e-09
0.4719461.4630257.518792e-09
0.4736751.4629387.546351e-09
0.4754121.4628527.574010e-09
0.4771541.4627677.601771e-09
0.4789041.4626827.629634e-09
0.481.462637.647100e-09
0.4806591.4625987.657598e-09
0.4824211.4625157.685666e-09
0.4841891.4624327.713836e-09
0.4859641.462357.742109e-09
0.4877461.4622687.770486e-09
0.4895331.4621877.798967e-09
0.4913281.4621077.827553e-09
0.4931291.4620277.856243e-09
0.4949361.4619487.885038e-09
0.4967511.4618697.913939e-09
0.4985721.4617917.942946e-09
0.51.461737.965700e-09
0.5003991.4617137.972060e-09
0.5022331.4616368.001284e-09
0.5040741.461568.030614e-09
0.5059221.4614848.060053e-09
0.5077771.4614098.089599e-09
0.5096381.4613348.119253e-09
0.5115061.461268.149016e-09
0.5133811.4611868.178889e-09
0.5152631.4611138.208870e-09
0.5171521.461048.238962e-09
0.5190471.4609688.269164e-09
0.520951.4608978.299477e-09
0.522861.4608268.329900e-09
0.5247761.4607558.360436e-09
0.52671.4606858.391083e-09
0.5286311.4606158.421843e-09
0.5305681.4605468.452715e-09
0.5325131.4604788.483700e-09
0.5344651.460418.514799e-09
0.5364241.4603428.546013e-09
0.5383911.4602758.577340e-09
0.5403641.4602088.608782e-09
0.5423451.4601428.640340e-09
0.5443331.4600768.672013e-09
0.5463281.4600118.703803e-09
0.5483311.4599468.735708e-09
0.551.4598938.762300e-09
0.5503411.4598828.767731e-09
0.5523581.4598188.799871e-09
0.5543831.4597548.832130e-09
0.5564151.4596918.864506e-09
0.5584551.4596298.897001e-09
0.5605021.4595668.929615e-09
0.5625561.4595058.962348e-09
0.5646191.4594438.995202e-09
0.5666881.4593829.028176e-09
0.5687651.4593229.061271e-09
0.570851.4592629.094487e-09
0.5729431.4592029.127825e-09
0.5750431.4591439.161285e-09
0.5771511.4590849.194868e-09
0.5792671.4590259.228574e-09
0.581391.4589679.262404e-09
0.5835211.4589099.296357e-09
0.585661.4588529.330435e-09
0.5878071.4587959.364638e-09
0.5899611.4587399.398966e-09
0.5921241.4586829.433420e-09
0.5942951.4586279.468001e-09
0.5964731.4585719.502708e-09
0.5986591.4585169.537542e-09
0.61.4584829.558900e-09
0.6008541.4584619.572496e-09
0.6030561.4584079.607564e-09
0.6052671.4583539.642761e-09
0.6074861.4582999.678087e-09
0.6097121.4582469.713542e-09
0.6119471.4581939.749127e-09
0.6141911.458149.784843e-09
0.6164421.4580889.820689e-09
0.6187021.4580369.856667e-09
0.620971.4579849.892777e-09
0.6232461.4579339.929019e-09
0.625531.4578829.965394e-09
0.6278231.4578311.000190e-08
0.6301251.4577811.003854e-08
0.6324341.4577311.007532e-08
0.6347531.4576811.011223e-08
0.6370791.4576321.014928e-08
0.6394151.4575821.018646e-08
0.6417591.4575341.022378e-08
0.6441111.4574851.026124e-08
0.6464721.4574371.029883e-08
0.6488421.4573891.033656e-08
0.651.4573661.035500e-08
0.651221.4573411.037445e-08
0.6536071.4572941.041250e-08
0.6560031.4572471.045069e-08
0.6584081.45721.048902e-08
0.6608211.4571541.052749e-08
0.6632441.4571071.056610e-08
0.6656751.4570611.060486e-08
0.6681151.4570161.064375e-08
0.6705641.456971.068279e-08
0.6730221.4569251.072197e-08
0.6754891.456881.076130e-08
0.6779651.4568361.080077e-08
0.680451.4567911.084038e-08
0.6829451.4567471.088014e-08
0.6854481.4567031.092004e-08
0.6879611.456661.096009e-08
0.6904821.4566161.100029e-08
0.6930131.4565731.104063e-08
0.6955541.456531.108113e-08
0.6981031.4564881.112177e-08
0.71.4564561.115200e-08
0.7006621.4564451.116255e-08
0.7032311.4564031.120347e-08
0.7058091.4563611.124453e-08
0.7083961.4563191.128574e-08
0.7109921.4562781.132711e-08
0.7135991.4562371.136863e-08
0.7162141.4561961.141030e-08
0.718841.4561551.145212e-08
0.7214751.4561141.149409e-08
0.7241191.4560741.153622e-08
0.7267741.4560341.157851e-08
0.7294381.4559941.162095e-08
0.7321121.4559541.166354e-08
0.7347951.4559141.170629e-08
0.7374891.4558751.174920e-08
0.7401921.4558361.179226e-08
0.7429051.4557971.183548e-08
0.7456291.4557581.187886e-08
0.7483621.455721.192240e-08
0.7511051.4556811.196610e-08
0.7538581.4556431.200996e-08
0.7566221.4556051.205398e-08
0.7593951.4555671.209816e-08
0.7621791.455531.214251e-08
0.7649731.4554921.218701e-08
0.7677771.4554551.223168e-08
0.7705911.4554181.227652e-08
0.7734161.4553811.232151e-08
0.7762511.4553441.236668e-08
0.7790961.4553081.241200e-08
0.7819521.4552711.245750e-08
0.7848181.4552351.250316e-08
0.7876951.4551991.254899e-08
0.7905831.4551631.259498e-08
0.7934811.4551271.264115e-08
0.7963891.4550921.268748e-08
0.7993091.4550561.273398e-08
0.81.4550481.274500e-08
0.8022381.4550211.278066e-08
0.8051791.4549861.282751e-08
0.8081311.4549511.287453e-08
0.8110931.4549161.292172e-08
0.8140661.4548811.296908e-08
0.817051.4548471.301662e-08
0.8200451.4548121.306433e-08
0.8230511.4547781.311222e-08
0.8260681.4547441.316028e-08
0.8290961.454711.320852e-08
0.8321351.4546761.325694e-08
0.8351861.4546421.330553e-08
0.8382471.4546091.335431e-08
0.841321.4545751.340326e-08
0.8444041.4545421.345239e-08
0.8474991.4545081.350169e-08
0.8506061.4544751.355119e-08
0.8537241.4544421.360086e-08
0.8568531.4544091.365071e-08
0.8599941.4543771.370075e-08
0.8631461.4543441.375097e-08
0.866311.4543111.380137e-08
0.8694861.4542791.385196e-08
0.8726731.4542471.390274e-08
0.8758721.4542141.395370e-08
0.8790821.4541821.400484e-08
0.8823051.454151.405618e-08
0.8855391.4541181.410770e-08
0.8887851.4540871.415941e-08
0.8920431.4540551.421132e-08
0.8953131.4540231.426341e-08
0.8985951.4539921.431569e-08
0.9018891.453961.436817e-08
0.9051951.4539291.442083e-08
0.9085131.4538981.447369e-08
0.9118431.4538661.452675e-08
0.9151861.4538351.457999e-08
0.918541.4538041.463344e-08
0.9219071.4537731.468708e-08
0.9252871.4537431.474091e-08
0.9286781.4537121.479494e-08
0.9320831.4536811.484918e-08
0.9354991.4536511.490361e-08
0.9389281.453621.495824e-08
0.942371.4535891.501307e-08
0.9458241.4535591.506810e-08
0.9492911.4535291.512333e-08
0.9527711.4534981.517876e-08
0.9562641.4534681.523440e-08
0.9597691.4534381.529024e-08
0.9632871.4534081.534629e-08
0.9668181.4533781.540254e-08
0.9703621.4533481.545900e-08
0.9739191.4533181.551567e-08
0.9774891.4532881.557254e-08
0.9810721.4532581.562962e-08
0.9846681.4532291.568691e-08
0.9882781.4531991.574441e-08
0.9919011.4531691.580212e-08
0.9955361.453141.586005e-08
0.9991861.453111.591818e-08
1.002851.4530811.597653e-08
1.006521.4530511.603509e-08
1.010211.4530221.609387e-08
1.013921.4529921.615286e-08
1.017631.4529631.621207e-08
1.021361.4529331.627150e-08
1.025111.4529041.633114e-08
1.028871.4528751.639100e-08
1.032641.4528461.645108e-08
1.036421.4528161.651139e-08
1.040221.4527871.657191e-08
1.044031.4527581.663265e-08
1.047861.4527291.669362e-08
1.05171.45271.675481e-08
1.055561.4526711.681623e-08
1.059431.4526411.687787e-08
1.061.4526371.688700e-08
1.063311.4526121.693974e-08
1.067211.4525831.700184e-08
1.071121.4525541.706416e-08
1.075051.4525251.712671e-08
1.078991.4524961.718950e-08
1.082941.4524671.725251e-08
1.086911.4524381.731575e-08
1.09091.4524091.737923e-08
1.094891.452381.744294e-08
1.098911.4523511.750688e-08
1.102941.4523221.757105e-08
1.106981.4522931.763547e-08
1.111041.4522641.770011e-08
1.115111.4522351.776500e-08
1.11921.4522061.783012e-08
1.12331.4521771.789548e-08
1.127421.4521481.796108e-08
1.131551.4521191.802692e-08
1.13571.452091.809301e-08
1.139861.4520611.815933e-08
1.144041.4520321.822590e-08
1.148231.4520021.829271e-08
1.152441.4519731.835977e-08
1.156671.4519441.842707e-08
1.160911.4519151.849462e-08
1.165161.4518861.856241e-08
1.169431.4518571.863046e-08
1.173721.4518271.869875e-08
1.178021.4517981.876730e-08
1.182341.4517691.883610e-08
1.186671.4517391.890514e-08
1.191021.451711.897445e-08
1.195391.4516811.904400e-08
1.199771.4516511.911381e-08
1.204171.4516221.918388e-08
1.208581.4515921.925420e-08
1.213011.4515621.932478e-08
1.217461.4515331.939562e-08
1.221921.4515031.946672e-08
1.22641.4514731.953808e-08
1.23091.4514441.960970e-08
1.235411.4514141.968159e-08
1.239941.4513841.975374e-08
1.244481.4513541.982615e-08
1.249041.4513241.989883e-08
1.253621.4512941.997177e-08
1.258221.4512642.004498e-08
1.262831.4512342.011846e-08
1.267461.4512042.019221e-08
1.272111.4511732.026623e-08
1.276771.4511432.034052e-08
1.281451.4511132.041509e-08
1.286151.4510822.048992e-08
1.290861.4510522.056503e-08
1.295591.4510212.064042e-08
1.300341.450992.071608e-08
1.305111.450962.079202e-08
1.309891.4509292.086824e-08
1.314691.4508982.094474e-08
1.319511.4508672.102151e-08
1.324351.4508362.109857e-08
1.32921.4508052.117592e-08
1.334081.4507742.125354e-08
1.338971.4507422.133145e-08
1.343881.4507112.140965e-08
1.34881.4506792.148813e-08
1.353751.4506482.156690e-08
1.358711.4506162.164596e-08
1.363691.4505842.172531e-08
1.368691.4505522.180495e-08
1.37371.450522.188488e-08
1.378741.4504882.196510e-08
1.383791.4504562.204562e-08
1.388871.4504242.212643e-08
1.393961.4503922.220754e-08
1.399071.4503592.228895e-08
1.40421.4503262.237065e-08
1.409341.4502942.245266e-08
1.414511.4502612.253496e-08
1.419691.4502282.261757e-08
1.42491.4501952.270048e-08
1.430121.4501622.278370e-08
1.435361.4501282.286721e-08
1.440621.4500952.295104e-08
1.445911.4500612.303517e-08
1.451211.4500282.311961e-08
1.456521.4499942.320436e-08
1.461861.449962.328942e-08
1.467221.4499262.337480e-08
1.47261.4498922.346048e-08
1.4781.4498582.354648e-08
1.483421.4498232.363280e-08
1.488851.4497892.371943e-08
1.494311.4497542.380638e-08
1.499791.4497192.389365e-08
1.51.4497182.389700e-08
1.505291.4496842.398123e-08
1.51081.4496492.406914e-08
1.516341.4496142.415738e-08
1.52191.4495782.424593e-08
1.527481.4495422.433481e-08
1.533081.4495072.442402e-08
1.53871.4494712.451355e-08
1.544341.4494352.460341e-08
1.551.4493982.469360e-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
—