Optical constants

Refractive index of K-PSK11 (SUMITA)

K-PSK11: 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
1.5658
Extinction coefficient k
1.04495e-08
Permittivity ε1
2.45173
Permittivity ε2
3.27236e-08
Absorption coefficient α
0.00223472 cm⁻¹
Penetration depth δ = λ/(2πk)
8.94966e+09 nm
Abbe number Vd
61.074
Chromatic dispersion dn/dλ
-0.0478194 µm⁻¹
Group index ng
1.5939
Group velocity dispersion
83.8741 fs²/mm
Dispersion parameter D
-457.577 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-PSK11 (SUMITA): K-PSK11
sumita_k_psk11 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-PSK11", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_psk11.range_nm)  # (360, 1550) nm
eps = sumita_k_psk11.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=2.4158701−0.0091407676⁢λ2.0+0.012869238⁢λ−2.0+0.0001991764⁢λ−4.0+2.7958423×10-6⁢λ−6.0+8.1672946×10-8⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C12.4158701
C2-0.0091407676
C32.0
C40.012869238
C5-2.0
C60.0001991764
C7-4.0
C82.7958423e-06
C9-6.0
C108.1672946e-08
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 3.62e-07 2e-08 -2.86e-11 4.27e-07 1.78e-10 0.218
nd
1.56580
Vd
61.0
glass code
566610
density
value: 3080
thermal expansion
value: 8.2e-06, temperature range: 243 343; value: 9.3e-06, temperature range: 293 573
dPgF
0.0036
resistance
acid: 5.0; climatic: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 7.26e-07 K⁻¹ at 633 nm, dn/dT = 2.80e-07 K⁻¹ at 1310 nm, dn/dT = 2.45e-07 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-PSK11 (SUMITA), K-PSK11: n and k versus wavelength
λ (µm)nk
0.361.5897858.430700e-08
0.361321.5894898.063502e-08
0.3626441.5891967.694958e-08
0.3639731.5889057.325064e-08
0.3653081.5886176.953813e-08
0.3666471.5883316.581201e-08
0.3679911.5880486.207224e-08
0.369341.5877675.831876e-08
0.371.5876315.648100e-08
0.3706931.5874895.573364e-08
0.3720521.5872145.426911e-08
0.3734161.586945.279920e-08
0.3747851.5866695.132391e-08
0.3761591.5864014.984321e-08
0.3775371.5861354.835708e-08
0.3789211.5858714.686551e-08
0.381.5856674.570300e-08
0.380311.5856094.544740e-08
0.3817041.585354.429938e-08
0.3831041.5850934.314715e-08
0.3845081.5848384.199070e-08
0.3859171.5845854.083002e-08
0.3873321.5843353.966507e-08
0.3887521.5840873.849586e-08
0.391.5838713.746800e-08
0.3901771.583843.737114e-08
0.3916071.5835963.658779e-08
0.3930431.5833543.580158e-08
0.3944831.5831153.501249e-08
0.3959291.5828773.422050e-08
0.3973811.5826413.342561e-08
0.3988371.5824073.262781e-08
0.41.5822223.199100e-08
0.4002991.5821753.201494e-08
0.4017671.5819453.213233e-08
0.4032391.5817173.225015e-08
0.4047171.5814913.236840e-08
0.4062011.5812673.248708e-08
0.407691.5810453.260620e-08
0.4091841.5808253.272575e-08
0.4106841.5806063.284575e-08
0.412191.5803893.296618e-08
0.4137011.5801753.308705e-08
0.4152171.5799623.320837e-08
0.4167391.579753.333013e-08
0.4182671.5795413.345234e-08
0.41981.5793333.357500e-08
0.421.5793063.359100e-08
0.4213391.5791273.369804e-08
0.4228831.5789223.382152e-08
0.4244331.578723.394545e-08
0.4259891.5785193.406984e-08
0.4275511.5783193.419468e-08
0.4291181.5781213.431998e-08
0.4306911.5779253.444574e-08
0.432271.5777313.457196e-08
0.4338541.5775383.469864e-08
0.4354451.5773463.482579e-08
0.4370411.5771573.495341e-08
0.4386431.5769683.508149e-08
0.441.576813.519000e-08
0.4402511.5767823.497894e-08
0.4418641.5765963.362005e-08
0.4434841.5764133.225617e-08
0.445111.576233.088730e-08
0.4467411.5760492.951341e-08
0.4483791.575872.813449e-08
0.4500231.5756922.675051e-08
0.4516721.5755162.536145e-08
0.4533281.5753412.396731e-08
0.454991.5751672.256805e-08
0.4566571.5749952.116367e-08
0.4583311.5748241.975413e-08
0.461.5746551.834900e-08
0.4600111.5746541.834945e-08
0.4616981.5744861.841665e-08
0.463391.5743191.848409e-08
0.4650891.5741531.855178e-08
0.4667931.5739891.861972e-08
0.4685051.5738261.868791e-08
0.4702221.5736641.875634e-08
0.4719461.5735041.882503e-08
0.4736751.5733451.889397e-08
0.4754121.5731871.896316e-08
0.4771541.573031.903261e-08
0.4789041.5728741.910231e-08
0.481.5727781.914600e-08
0.4806591.572721.890905e-08
0.4824211.5725671.827555e-08
0.4841891.5724151.763973e-08
0.4859641.5722641.700159e-08
0.4877461.5721151.636110e-08
0.4895331.5719661.571826e-08
0.4913281.5718191.507307e-08
0.4931291.5716731.442552e-08
0.4949361.5715281.377559e-08
0.4967511.5713841.312327e-08
0.4985721.5712411.246857e-08
0.51.571131.195500e-08
0.5003991.5710991.196454e-08
0.5022331.5709581.200838e-08
0.5040741.5708181.205238e-08
0.5059221.570681.209654e-08
0.5077771.5705421.214086e-08
0.5096381.5704061.218535e-08
0.5115061.570271.223000e-08
0.5133811.5701361.227481e-08
0.5152631.5700021.231979e-08
0.5171521.569871.236493e-08
0.5190471.5697381.241023e-08
0.520951.5696081.245571e-08
0.522861.5694781.250135e-08
0.5247761.569351.254715e-08
0.52671.5692221.259313e-08
0.5286311.5690951.263927e-08
0.5305681.5689691.268558e-08
0.5325131.5688451.273207e-08
0.5344651.5687211.277872e-08
0.5364241.5685971.282554e-08
0.5383911.5684751.287254e-08
0.5403641.5683541.291970e-08
0.5423451.5682341.296704e-08
0.5443331.5681141.301456e-08
0.5463281.5679951.306225e-08
0.5483311.5678781.311011e-08
0.551.567781.315000e-08
0.5503411.5677611.312552e-08
0.5523581.5676441.298063e-08
0.5543831.5675291.283521e-08
0.5564151.5674151.268925e-08
0.5584551.5673011.254276e-08
0.5605021.5671881.239574e-08
0.5625561.5670761.224817e-08
0.5646191.5669651.210007e-08
0.5666881.5668541.195142e-08
0.5687651.5667451.180223e-08
0.570851.5666361.165249e-08
0.5729431.5665271.150220e-08
0.5750431.566421.135136e-08
0.5771511.5663131.119997e-08
0.5792671.5662071.104802e-08
0.581391.5661021.089552e-08
0.5835211.5659971.074245e-08
0.585661.5658941.058883e-08
0.5878071.5657911.043464e-08
0.5899611.5656881.027989e-08
0.5921241.5655861.012457e-08
0.5942951.5654859.968677e-09
0.5964731.5653859.812216e-09
0.5986591.5652859.655181e-09
0.61.5652259.558900e-09
0.6008541.5651869.572496e-09
0.6030561.5650889.607564e-09
0.6052671.5649919.642761e-09
0.6074861.5648939.678087e-09
0.6097121.5647979.713542e-09
0.6119471.5647019.749127e-09
0.6141911.5646069.784843e-09
0.6164421.5645129.820689e-09
0.6187021.5644189.856667e-09
0.620971.5643259.892777e-09
0.6232461.5642329.929019e-09
0.625531.564149.965394e-09
0.6278231.5640491.000190e-08
0.6301251.5639581.003854e-08
0.6324341.5638671.007532e-08
0.6347531.5637781.011223e-08
0.6370791.5636891.014928e-08
0.6394151.56361.018646e-08
0.6417591.5635121.022378e-08
0.6441111.5634241.026124e-08
0.6464721.5633381.029883e-08
0.6488421.5632511.033656e-08
0.651.5632091.035500e-08
0.651221.5631651.037445e-08
0.6536071.563081.041250e-08
0.6560031.5629951.045069e-08
0.6584081.5629111.048902e-08
0.6608211.5628271.052749e-08
0.6632441.5627441.056610e-08
0.6656751.5626611.060486e-08
0.6681151.5625791.064375e-08
0.6705641.5624971.068279e-08
0.6730221.5624161.072197e-08
0.6754891.5623351.076130e-08
0.6779651.5622551.080077e-08
0.680451.5621751.084038e-08
0.6829451.5620961.088014e-08
0.6854481.5620171.092004e-08
0.6879611.5619391.096009e-08
0.6904821.5618611.100029e-08
0.6930131.5617831.104063e-08
0.6955541.5617061.108113e-08
0.6981031.5616291.112177e-08
0.71.5615731.115200e-08
0.7006621.5615531.116255e-08
0.7032311.5614771.120347e-08
0.7058091.5614021.124453e-08
0.7083961.5613271.128574e-08
0.7109921.5612531.132711e-08
0.7135991.5611781.136863e-08
0.7162141.5611051.141030e-08
0.718841.5610311.145212e-08
0.7214751.5609591.149409e-08
0.7241191.5608861.153622e-08
0.7267741.5608141.157851e-08
0.7294381.5607421.162095e-08
0.7321121.5606711.166354e-08
0.7347951.56061.170629e-08
0.7374891.5605291.174920e-08
0.7401921.5604591.179226e-08
0.7429051.5603891.183548e-08
0.7456291.560321.187886e-08
0.7483621.560251.192240e-08
0.7511051.5601821.196610e-08
0.7538581.5601131.200996e-08
0.7566221.5600451.205398e-08
0.7593951.5599771.209816e-08
0.7621791.559911.214251e-08
0.7649731.5598431.218701e-08
0.7677771.5597761.223168e-08
0.7705911.5597091.227652e-08
0.7734161.5596431.232151e-08
0.7762511.5595771.236668e-08
0.7790961.5595121.241200e-08
0.7819521.5594471.245750e-08
0.7848181.5593821.250316e-08
0.7876951.5593171.254899e-08
0.7905831.5592531.259498e-08
0.7934811.5591891.264115e-08
0.7963891.5591251.268748e-08
0.7993091.5590611.273398e-08
0.81.5590461.274500e-08
0.8022381.5589981.278066e-08
0.8051791.5589351.282751e-08
0.8081311.5588731.287453e-08
0.8110931.558811.292172e-08
0.8140661.5587481.296908e-08
0.817051.5586861.301662e-08
0.8200451.5586251.306433e-08
0.8230511.5585631.311222e-08
0.8260681.5585021.316028e-08
0.8290961.5584411.320852e-08
0.8321351.5583811.325694e-08
0.8351861.558321.330553e-08
0.8382471.558261.335431e-08
0.841321.55821.340326e-08
0.8444041.558141.345239e-08
0.8474991.5580811.350169e-08
0.8506061.5580221.355119e-08
0.8537241.5579631.360086e-08
0.8568531.5579041.365071e-08
0.8599941.5578451.370075e-08
0.8631461.5577871.375097e-08
0.866311.5577291.380137e-08
0.8694861.5576711.385196e-08
0.8726731.5576131.390274e-08
0.8758721.5575551.395370e-08
0.8790821.5574981.400484e-08
0.8823051.557441.405618e-08
0.8855391.5573831.410770e-08
0.8887851.5573271.415941e-08
0.8920431.557271.421132e-08
0.8953131.5572131.426341e-08
0.8985951.5571571.431569e-08
0.9018891.5571011.436817e-08
0.9051951.5570451.442083e-08
0.9085131.5569891.447369e-08
0.9118431.5569331.452675e-08
0.9151861.5568781.457999e-08
0.918541.5568221.463344e-08
0.9219071.5567671.468708e-08
0.9252871.5567121.474091e-08
0.9286781.5566571.479494e-08
0.9320831.5566021.484918e-08
0.9354991.5565471.490361e-08
0.9389281.5564931.495824e-08
0.942371.5564381.501307e-08
0.9458241.5563841.506810e-08
0.9492911.556331.512333e-08
0.9527711.5562761.517876e-08
0.9562641.5562221.523440e-08
0.9597691.5561681.529024e-08
0.9632871.5561141.534629e-08
0.9668181.5560611.540254e-08
0.9703621.5560071.545900e-08
0.9739191.5559541.551567e-08
0.9774891.5559011.557254e-08
0.9810721.5558471.562962e-08
0.9846681.5557941.568691e-08
0.9882781.5557411.574441e-08
0.9919011.5556881.580212e-08
0.9955361.5556351.586005e-08
0.9991861.5555831.591818e-08
1.002851.555531.597653e-08
1.006521.5554771.603509e-08
1.010211.5554251.609387e-08
1.013921.5553721.615286e-08
1.017631.555321.621207e-08
1.021361.5552671.627150e-08
1.025111.5552151.633114e-08
1.028871.5551631.639100e-08
1.032641.5551111.645108e-08
1.036421.5550581.651139e-08
1.040221.5550061.657191e-08
1.044031.5549541.663265e-08
1.047861.5549021.669362e-08
1.05171.554851.675481e-08
1.055561.5547981.681623e-08
1.059431.5547471.687787e-08
1.061.5547391.688700e-08
1.063311.5546951.757187e-08
1.067211.5546431.837827e-08
1.071121.5545911.918763e-08
1.075051.5545391.999996e-08
1.078991.5544872.081527e-08
1.082941.5544362.163356e-08
1.086911.5543842.245485e-08
1.09091.5543322.327916e-08
1.094891.554282.410648e-08
1.098911.5542292.493684e-08
1.102941.5541772.577024e-08
1.106981.5541252.660670e-08
1.111041.5540732.744622e-08
1.115111.5540222.828882e-08
1.11921.553972.913451e-08
1.12331.5539182.998330e-08
1.127421.5538663.083520e-08
1.131551.5538153.169022e-08
1.13571.5537633.254838e-08
1.139861.5537113.340968e-08
1.144041.5536593.427414e-08
1.148231.5536073.514177e-08
1.152441.5535553.601258e-08
1.156671.5535033.688658e-08
1.160911.5534513.776379e-08
1.165161.5533993.864421e-08
1.169431.5533473.952785e-08
1.173721.5532954.041474e-08
1.178021.5532434.130488e-08
1.182341.5531914.219828e-08
1.186671.5531384.309495e-08
1.191021.5530864.399492e-08
1.195391.5530334.489818e-08
1.199771.5529814.580475e-08
1.204171.5529284.671465e-08
1.208581.5528764.762788e-08
1.213011.5528234.854445e-08
1.217461.552774.946439e-08
1.221921.5527175.038770e-08
1.22641.5526645.131440e-08
1.23091.5526115.224449e-08
1.235411.5525585.317799e-08
1.239941.5525055.411491e-08
1.244481.5524525.505527e-08
1.249041.5523985.599908e-08
1.253621.5523455.694634e-08
1.258221.5522915.789708e-08
1.262831.5522385.885130e-08
1.267461.5521845.980902e-08
1.272111.552136.077025e-08
1.276771.5520766.173500e-08
1.281451.5520226.270329e-08
1.286151.5519676.367513e-08
1.290861.5519136.465053e-08
1.295591.5518596.562951e-08
1.300341.5518046.661207e-08
1.305111.5517496.759824e-08
1.309891.5516946.858802e-08
1.314691.5516396.958143e-08
1.319511.5515847.057848e-08
1.324351.5515297.157919e-08
1.32921.5514737.258356e-08
1.334081.5514177.359162e-08
1.338971.5513627.460337e-08
1.343881.5513067.561883e-08
1.34881.551257.663801e-08
1.353751.5511937.766093e-08
1.358711.5511377.868760e-08
1.363691.551087.971803e-08
1.368691.5510238.075224e-08
1.37371.5509668.179024e-08
1.378741.5509098.283204e-08
1.383791.5508528.387767e-08
1.388871.5507958.492712e-08
1.393961.5507378.598043e-08
1.399071.5506798.703759e-08
1.40421.5506218.809863e-08
1.409341.5505638.916356e-08
1.414511.5505049.023239e-08
1.419691.5504459.130514e-08
1.42491.5503879.238182e-08
1.430121.5503279.346245e-08
1.435361.5502689.454704e-08
1.440621.5502099.563561e-08
1.445911.5501499.672816e-08
1.451211.5500899.782472e-08
1.456521.5500299.892530e-08
1.461861.5499681.000299e-07
1.467221.5499081.011386e-07
1.47261.5498471.022513e-07
1.4781.5497861.033681e-07
1.483421.5497241.044890e-07
1.488851.5496631.056140e-07
1.494311.5496011.067432e-07
1.499791.5495391.078764e-07
1.51.5495361.079200e-07
1.505291.5494761.237641e-07
1.51081.5494141.402996e-07
1.516341.5493511.568958e-07
1.52191.5492881.735528e-07
1.527481.5492241.902708e-07
1.533081.549162.070501e-07
1.53871.5490962.238909e-07
1.544341.5490322.407935e-07
1.551.5489682.577580e-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
—