Optical constants

Refractive index of K-PSK11(M) (SUMITA)

K-PSK11(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
1.55985
Extinction coefficient k
1.04495e-08
Permittivity ε1
2.43314
Permittivity ε2
3.25993e-08
Absorption coefficient α
0.00223472 cm⁻¹
Penetration depth δ = λ/(2πk)
8.94966e+09 nm
Abbe number Vd
61.041
Chromatic dispersion dn/dλ
-0.0473384 µm⁻¹
Group index ng
1.58767
Group velocity dispersion
83.1685 fs²/mm
Dispersion parameter D
-453.728 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(M) (SUMITA): K-PSK11(M)
sumita_k_psk11_m = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-PSK11(M)", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_psk11_m.range_nm)  # (360, 1550) nm
eps = sumita_k_psk11_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=2.3980346−0.0090774696⁢λ2.0+0.012465635⁢λ−2.0+0.00027492499⁢λ−4.0−9.3436202×10-6⁢λ−6.0+7.809668×10-7⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C12.3980346
C2-0.0090774696
C32.0
C40.012465635
C5-2.0
C60.00027492499
C7-4.0
C8-9.3436202e-06
C9-6.0
C107.809668e-07
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
1.55985
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 = 7.20e-07 K⁻¹ at 633 nm, dn/dT = 2.78e-07 K⁻¹ at 1310 nm, dn/dT = 2.43e-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(M) (SUMITA), K-PSK11(M): n and k versus wavelength
λ (µm)nk
0.361.5836318.430700e-08
0.361321.5833368.063502e-08
0.3626441.5830447.694958e-08
0.3639731.5827547.325064e-08
0.3653081.5824676.953813e-08
0.3666471.5821836.581201e-08
0.3679911.5819016.207224e-08
0.369341.5816225.831876e-08
0.371.5814865.648100e-08
0.3706931.5813455.573364e-08
0.3720521.5810715.426911e-08
0.3734161.5807995.279920e-08
0.3747851.580535.132391e-08
0.3761591.5802634.984321e-08
0.3775371.5799994.835708e-08
0.3789211.5797364.686551e-08
0.381.5795344.570300e-08
0.380311.5794774.544740e-08
0.3817041.5792194.429938e-08
0.3831041.5789644.314715e-08
0.3845081.5787114.199070e-08
0.3859171.578464.083002e-08
0.3873321.5782123.966507e-08
0.3887521.5779653.849586e-08
0.391.5777513.746800e-08
0.3901771.5777213.737114e-08
0.3916071.5774793.658779e-08
0.3930431.5772393.580158e-08
0.3944831.5770013.501249e-08
0.3959291.5767653.422050e-08
0.3973811.5765313.342561e-08
0.3988371.5762993.262781e-08
0.41.5761163.199100e-08
0.4002991.5760693.201494e-08
0.4017671.5758413.213233e-08
0.4032391.5756153.225015e-08
0.4047171.5753913.236840e-08
0.4062011.5751693.248708e-08
0.407691.5749493.260620e-08
0.4091841.5747313.272575e-08
0.4106841.5745143.284575e-08
0.412191.5742993.296618e-08
0.4137011.5740873.308705e-08
0.4152171.5738753.320837e-08
0.4167391.5736663.333013e-08
0.4182671.5734583.345234e-08
0.41981.5732533.357500e-08
0.421.5732263.359100e-08
0.4213391.5730483.369804e-08
0.4228831.5728463.382152e-08
0.4244331.5726453.394545e-08
0.4259891.5724463.406984e-08
0.4275511.5722483.419468e-08
0.4291181.5720533.431998e-08
0.4306911.5718583.444574e-08
0.432271.5716663.457196e-08
0.4338541.5714753.469864e-08
0.4354451.5712853.482579e-08
0.4370411.5710973.495341e-08
0.4386431.5709113.508149e-08
0.441.5707543.519000e-08
0.4402511.5707263.497894e-08
0.4418641.5705423.362005e-08
0.4434841.570363.225617e-08
0.445111.570183.088730e-08
0.4467411.5700012.951341e-08
0.4483791.5698232.813449e-08
0.4500231.5696472.675051e-08
0.4516721.5694722.536145e-08
0.4533281.5692992.396731e-08
0.454991.5691272.256805e-08
0.4566571.5689562.116367e-08
0.4583311.5687871.975413e-08
0.461.568621.834900e-08
0.4600111.5686191.834945e-08
0.4616981.5684521.841665e-08
0.463391.5682871.848409e-08
0.4650891.5681231.855178e-08
0.4667931.567961.861972e-08
0.4685051.5677991.868791e-08
0.4702221.5676391.875634e-08
0.4719461.567481.882503e-08
0.4736751.5673221.889397e-08
0.4754121.5671661.896316e-08
0.4771541.5670111.903261e-08
0.4789041.5668571.910231e-08
0.481.5667611.914600e-08
0.4806591.5667041.890905e-08
0.4824211.5665521.827555e-08
0.4841891.5664021.763973e-08
0.4859641.5662521.700159e-08
0.4877461.5661041.636110e-08
0.4895331.5659571.571826e-08
0.4913281.5658111.507307e-08
0.4931291.5656671.442552e-08
0.4949361.5655231.377559e-08
0.4967511.565381.312327e-08
0.4985721.5652391.246857e-08
0.51.5651291.195500e-08
0.5003991.5650981.196454e-08
0.5022331.5649591.200838e-08
0.5040741.5648211.205238e-08
0.5059221.5646831.209654e-08
0.5077771.5645471.214086e-08
0.5096381.5644121.218535e-08
0.5115061.5642781.223000e-08
0.5133811.5641451.227481e-08
0.5152631.5640121.231979e-08
0.5171521.5638811.236493e-08
0.5190471.5637511.241023e-08
0.520951.5636221.245571e-08
0.522861.5634931.250135e-08
0.5247761.5633661.254715e-08
0.52671.563241.259313e-08
0.5286311.5631141.263927e-08
0.5305681.562991.268558e-08
0.5325131.5628661.273207e-08
0.5344651.5627431.277872e-08
0.5364241.5626211.282554e-08
0.5383911.56251.287254e-08
0.5403641.562381.291970e-08
0.5423451.5622611.296704e-08
0.5443331.5621431.301456e-08
0.5463281.5620251.306225e-08
0.5483311.5619091.311011e-08
0.551.5618121.315000e-08
0.5503411.5617931.312552e-08
0.5523581.5616781.298063e-08
0.5543831.5615641.283521e-08
0.5564151.561451.268925e-08
0.5584551.5613381.254276e-08
0.5605021.5612261.239574e-08
0.5625561.5611151.224817e-08
0.5646191.5610051.210007e-08
0.5666881.5608951.195142e-08
0.5687651.5607871.180223e-08
0.570851.5606791.165249e-08
0.5729431.5605721.150220e-08
0.5750431.5604651.135136e-08
0.5771511.560361.119997e-08
0.5792671.5602551.104802e-08
0.581391.560151.089552e-08
0.5835211.5600471.074245e-08
0.585661.5599441.058883e-08
0.5878071.5598421.043464e-08
0.5899611.5597411.027989e-08
0.5921241.559641.012457e-08
0.5942951.559549.968677e-09
0.5964731.5594419.812216e-09
0.5986591.5593429.655181e-09
0.61.5592829.558900e-09
0.6008541.5592449.572496e-09
0.6030561.5591479.607564e-09
0.6052671.559059.642761e-09
0.6074861.5589549.678087e-09
0.6097121.5588599.713542e-09
0.6119471.5587649.749127e-09
0.6141911.558679.784843e-09
0.6164421.5585769.820689e-09
0.6187021.5584849.856667e-09
0.620971.5583919.892777e-09
0.6232461.55839.929019e-09
0.625531.5582089.965394e-09
0.6278231.5581181.000190e-08
0.6301251.5580281.003854e-08
0.6324341.5579391.007532e-08
0.6347531.557851.011223e-08
0.6370791.5577621.014928e-08
0.6394151.5576741.018646e-08
0.6417591.5575871.022378e-08
0.6441111.55751.026124e-08
0.6464721.5574141.029883e-08
0.6488421.5573291.033656e-08
0.651.5572881.035500e-08
0.651221.5572441.037445e-08
0.6536071.557161.041250e-08
0.6560031.5570761.045069e-08
0.6584081.5569921.048902e-08
0.6608211.556911.052749e-08
0.6632441.5568271.056610e-08
0.6656751.5567451.060486e-08
0.6681151.5566641.064375e-08
0.6705641.5565831.068279e-08
0.6730221.5565031.072197e-08
0.6754891.5564231.076130e-08
0.6779651.5563441.080077e-08
0.680451.5562651.084038e-08
0.6829451.5561861.088014e-08
0.6854481.5561081.092004e-08
0.6879611.5560311.096009e-08
0.6904821.5559541.100029e-08
0.6930131.5558771.104063e-08
0.6955541.5558011.108113e-08
0.6981031.5557251.112177e-08
0.71.5556691.115200e-08
0.7006621.555651.116255e-08
0.7032311.5555751.120347e-08
0.7058091.55551.124453e-08
0.7083961.5554261.128574e-08
0.7109921.5553521.132711e-08
0.7135991.5552791.136863e-08
0.7162141.5552061.141030e-08
0.718841.5551341.145212e-08
0.7214751.5550621.149409e-08
0.7241191.554991.153622e-08
0.7267741.5549191.157851e-08
0.7294381.5548481.162095e-08
0.7321121.5547771.166354e-08
0.7347951.5547071.170629e-08
0.7374891.5546371.174920e-08
0.7401921.5545681.179226e-08
0.7429051.5544991.183548e-08
0.7456291.554431.187886e-08
0.7483621.5543621.192240e-08
0.7511051.5542941.196610e-08
0.7538581.5542261.200996e-08
0.7566221.5541591.205398e-08
0.7593951.5540921.209816e-08
0.7621791.5540251.214251e-08
0.7649731.5539591.218701e-08
0.7677771.5538931.223168e-08
0.7705911.5538271.227652e-08
0.7734161.5537621.232151e-08
0.7762511.5536971.236668e-08
0.7790961.5536321.241200e-08
0.7819521.5535671.245750e-08
0.7848181.5535031.250316e-08
0.7876951.5534391.254899e-08
0.7905831.5533761.259498e-08
0.7934811.5533121.264115e-08
0.7963891.5532491.268748e-08
0.7993091.5531871.273398e-08
0.81.5531721.274500e-08
0.8022381.5531241.278066e-08
0.8051791.5530621.282751e-08
0.8081311.5531.287453e-08
0.8110931.5529381.292172e-08
0.8140661.5528771.296908e-08
0.817051.5528161.301662e-08
0.8200451.5527551.306433e-08
0.8230511.5526941.311222e-08
0.8260681.5526341.316028e-08
0.8290961.5525741.320852e-08
0.8321351.5525141.325694e-08
0.8351861.5524541.330553e-08
0.8382471.5523951.335431e-08
0.841321.5523361.340326e-08
0.8444041.5522771.345239e-08
0.8474991.5522181.350169e-08
0.8506061.5521591.355119e-08
0.8537241.5521011.360086e-08
0.8568531.5520431.365071e-08
0.8599941.5519851.370075e-08
0.8631461.5519271.375097e-08
0.866311.551871.380137e-08
0.8694861.5518131.385196e-08
0.8726731.5517561.390274e-08
0.8758721.5516991.395370e-08
0.8790821.5516421.400484e-08
0.8823051.5515851.405618e-08
0.8855391.5515291.410770e-08
0.8887851.5514731.415941e-08
0.8920431.5514171.421132e-08
0.8953131.5513611.426341e-08
0.8985951.5513051.431569e-08
0.9018891.551251.436817e-08
0.9051951.5511951.442083e-08
0.9085131.5511391.447369e-08
0.9118431.5510841.452675e-08
0.9151861.5510291.457999e-08
0.918541.5509751.463344e-08
0.9219071.550921.468708e-08
0.9252871.5508661.474091e-08
0.9286781.5508111.479494e-08
0.9320831.5507571.484918e-08
0.9354991.5507031.490361e-08
0.9389281.5506491.495824e-08
0.942371.5505961.501307e-08
0.9458241.5505421.506810e-08
0.9492911.5504881.512333e-08
0.9527711.5504351.517876e-08
0.9562641.5503821.523440e-08
0.9597691.5503291.529024e-08
0.9632871.5502751.534629e-08
0.9668181.5502221.540254e-08
0.9703621.550171.545900e-08
0.9739191.5501171.551567e-08
0.9774891.5500641.557254e-08
0.9810721.5500121.562962e-08
0.9846681.5499591.568691e-08
0.9882781.5499071.574441e-08
0.9919011.5498541.580212e-08
0.9955361.5498021.586005e-08
0.9991861.549751.591818e-08
1.002851.5496981.597653e-08
1.006521.5496461.603509e-08
1.010211.5495941.609387e-08
1.013921.5495421.615286e-08
1.017631.549491.621207e-08
1.021361.5494391.627150e-08
1.025111.5493871.633114e-08
1.028871.5493351.639100e-08
1.032641.5492841.645108e-08
1.036421.5492321.651139e-08
1.040221.5491811.657191e-08
1.044031.5491291.663265e-08
1.047861.5490781.669362e-08
1.05171.5490261.675481e-08
1.055561.5489751.681623e-08
1.059431.5489241.687787e-08
1.061.5489161.688700e-08
1.063311.5488721.757187e-08
1.067211.5488211.837827e-08
1.071121.548771.918763e-08
1.075051.5487191.999996e-08
1.078991.5486682.081527e-08
1.082941.5486162.163356e-08
1.086911.5485652.245485e-08
1.09091.5485142.327916e-08
1.094891.5484632.410648e-08
1.098911.5484122.493684e-08
1.102941.5483612.577024e-08
1.106981.5483092.660670e-08
1.111041.5482582.744622e-08
1.115111.5482072.828882e-08
1.11921.5481562.913451e-08
1.12331.5481052.998330e-08
1.127421.5480533.083520e-08
1.131551.5480023.169022e-08
1.13571.5479513.254838e-08
1.139861.54793.340968e-08
1.144041.5478483.427414e-08
1.148231.5477973.514177e-08
1.152441.5477463.601258e-08
1.156671.5476943.688658e-08
1.160911.5476433.776379e-08
1.165161.5475913.864421e-08
1.169431.547543.952785e-08
1.173721.5474884.041474e-08
1.178021.5474364.130488e-08
1.182341.5473854.219828e-08
1.186671.5473334.309495e-08
1.191021.5472814.399492e-08
1.195391.5472294.489818e-08
1.199771.5471774.580475e-08
1.204171.5471254.671465e-08
1.208581.5470734.762788e-08
1.213011.5470214.854445e-08
1.217461.5469694.946439e-08
1.221921.5469165.038770e-08
1.22641.5468645.131440e-08
1.23091.5468125.224449e-08
1.235411.5467595.317799e-08
1.239941.5467065.411491e-08
1.244481.5466545.505527e-08
1.249041.5466015.599908e-08
1.253621.5465485.694634e-08
1.258221.5464955.789708e-08
1.262831.5464415.885130e-08
1.267461.5463885.980902e-08
1.272111.5463356.077025e-08
1.276771.5462816.173500e-08
1.281451.5462286.270329e-08
1.286151.5461746.367513e-08
1.290861.546126.465053e-08
1.295591.5460666.562951e-08
1.300341.5460126.661207e-08
1.305111.5459576.759824e-08
1.309891.5459036.858802e-08
1.314691.5458486.958143e-08
1.319511.5457947.057848e-08
1.324351.5457397.157919e-08
1.32921.5456847.258356e-08
1.334081.5456297.359162e-08
1.338971.5455737.460337e-08
1.343881.5455187.561883e-08
1.34881.5454627.663801e-08
1.353751.5454077.766093e-08
1.358711.5453517.868760e-08
1.363691.5452947.971803e-08
1.368691.5452388.075224e-08
1.37371.5451828.179024e-08
1.378741.5451258.283204e-08
1.383791.5450688.387767e-08
1.388871.5450118.492712e-08
1.393961.5449548.598043e-08
1.399071.5448978.703759e-08
1.40421.5448398.809863e-08
1.409341.5447818.916356e-08
1.414511.5447239.023239e-08
1.419691.5446659.130514e-08
1.42491.5446079.238182e-08
1.430121.5445489.346245e-08
1.435361.5444899.454704e-08
1.440621.544439.563561e-08
1.445911.5443719.672816e-08
1.451211.5443119.782472e-08
1.456521.5442529.892530e-08
1.461861.5441921.000299e-07
1.467221.5441321.011386e-07
1.47261.5440711.022513e-07
1.4781.544011.033681e-07
1.483421.543951.044890e-07
1.488851.5438881.056140e-07
1.494311.5438271.067432e-07
1.499791.5437651.078764e-07
1.51.5437631.079200e-07
1.505291.5437031.237641e-07
1.51081.5436411.402996e-07
1.516341.5435791.568958e-07
1.52191.5435161.735528e-07
1.527481.5434531.902708e-07
1.533081.543392.070501e-07
1.53871.5433262.238909e-07
1.544341.5432632.407935e-07
1.551.5431982.577580e-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
—