Optical constants

Refractive index of K-SSK9 (SUMITA)

K-SSK9: 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
1.62012
Extinction coefficient k
2.45299e-08
Permittivity ε1
2.62478
Permittivity ε2
7.94827e-08
Absorption coefficient α
0.00524595 cm⁻¹
Penetration depth δ = λ/(2πk)
3.81246e+09 nm
Abbe number Vd
49.813
Chromatic dispersion dn/dλ
-0.063807 µm⁻¹
Group index ng
1.65761
Group velocity dispersion
117.03 fs²/mm
Dispersion parameter D
-638.462 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-SSK9 (SUMITA): K-SSK9
sumita_k_ssk9 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-SSK9", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_ssk9.range_nm)  # (360, 1550) nm
eps = sumita_k_ssk9.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=2.5737917−0.0093452955⁢λ2.0+0.017645209⁢λ−2.0+0.00035765081⁢λ−4.0+1.1614434×10-6⁢λ−6.0+1.16034×10-6⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C12.5737917
C2-0.0093452955
C32.0
C40.017645209
C5-2.0
C60.00035765081
C7-4.0
C81.1614434e-06
C9-6.0
C101.16034e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -3.89e-06 1.55e-08 -1.07e-10 6.07e-07 4.29e-10 0.203
nd
1.62012
Vd
49.8
glass code
620498
density
value: 3290
thermal expansion
value: 8.3e-06, temperature range: 243 343; value: 9.8e-06, temperature range: 293 573
dPgF
-0.0004
resistance
acid: 3.0; climatic: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -1.10e-06 K⁻¹ at 633 nm, dn/dT = -1.73e-06 K⁻¹ at 1310 nm, dn/dT = -1.77e-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-SSK9 (SUMITA), K-SSK9: n and k versus wavelength
λ (µm)nk
0.361.6536841.234100e-06
0.361321.6532491.142241e-06
0.3626441.6528171.050046e-06
0.3639731.652399.575121e-07
0.3653081.6519688.646394e-07
0.3666471.651557.714263e-07
0.3679911.6511366.778714e-07
0.369341.6507275.839737e-07
0.371.6505285.380000e-07
0.3706931.6503215.209310e-07
0.3720521.649924.874823e-07
0.3734161.6495234.539110e-07
0.3747851.6491294.202167e-07
0.3761591.648743.863988e-07
0.3775371.6483543.524569e-07
0.3789211.6479733.183907e-07
0.381.6476792.918400e-07
0.380311.6475952.884351e-07
0.3817041.6472212.731421e-07
0.3831041.646852.577931e-07
0.3845081.6464842.423878e-07
0.3859171.646122.269261e-07
0.3873321.6457612.114076e-07
0.3887521.6454051.958323e-07
0.391.6450951.821400e-07
0.3901771.6450521.809243e-07
0.3916071.6447021.710928e-07
0.3930431.6443571.612253e-07
0.3944831.6440141.513217e-07
0.3959291.6436741.413817e-07
0.3973811.6433381.314053e-07
0.3988371.6430051.213923e-07
0.41.6427431.134000e-07
0.4002991.6426761.126625e-07
0.4017671.6423491.090465e-07
0.4032391.6420251.054173e-07
0.4047171.6417051.017747e-07
0.4062011.6413879.811884e-08
0.407691.6410739.444955e-08
0.4091841.6407619.076682e-08
0.4106841.6404528.707058e-08
0.412191.6401468.336080e-08
0.4137011.6398437.963742e-08
0.4152171.6395437.590039e-08
0.4167391.6392457.214966e-08
0.4182671.638956.838518e-08
0.41981.6386586.460690e-08
0.421.638626.411400e-08
0.4213391.6383696.336460e-08
0.4228831.6380826.250009e-08
0.4244331.6377976.163240e-08
0.4259891.6375166.076154e-08
0.4275511.6372375.988748e-08
0.4291181.636965.901022e-08
0.4306911.6366865.812975e-08
0.432271.6364145.724604e-08
0.4338541.6361445.635910e-08
0.4354451.6358775.546891e-08
0.4370411.6356135.457545e-08
0.4386431.6353515.367872e-08
0.441.6351315.291900e-08
0.4402511.6350915.280963e-08
0.4418641.6348335.210545e-08
0.4434841.6345785.139869e-08
0.445111.6343245.068934e-08
0.4467411.6340734.997739e-08
0.4483791.6338254.926284e-08
0.4500231.6335784.854566e-08
0.4516721.6333334.782585e-08
0.4533281.6330914.710340e-08
0.454991.6328514.637831e-08
0.4566571.6326124.565056e-08
0.4583311.6323764.492014e-08
0.461.6321444.419200e-08
0.4600111.6321424.418870e-08
0.4616981.631914.369945e-08
0.463391.631684.320839e-08
0.4650891.6314514.271554e-08
0.4667931.6312254.222089e-08
0.4685051.6310014.172441e-08
0.4702221.6307784.122612e-08
0.4719461.6305574.072600e-08
0.4736751.6303394.022405e-08
0.4754121.6301223.972026e-08
0.4771541.6299063.921463e-08
0.4789041.6296933.870713e-08
0.481.6295613.838900e-08
0.4806591.6294813.830936e-08
0.4824211.6292723.809643e-08
0.4841891.6290643.788272e-08
0.4859641.6288573.766823e-08
0.4877461.6286523.745295e-08
0.4895331.6284493.723689e-08
0.4913281.6282483.702003e-08
0.4931291.6280483.680238e-08
0.4949361.627853.658393e-08
0.4967511.6276543.636467e-08
0.4985721.6274593.614462e-08
0.51.6273083.597200e-08
0.5003991.6272663.589510e-08
0.5022331.6270743.554174e-08
0.5040741.6268843.518710e-08
0.5059221.6266953.483115e-08
0.5077771.6265083.447389e-08
0.5096381.6263223.411533e-08
0.5115061.6261383.375545e-08
0.5133811.6259553.339425e-08
0.5152631.6257743.303173e-08
0.5171521.6255943.266788e-08
0.5190471.6254163.230270e-08
0.520951.6252393.193618e-08
0.522861.6250633.156831e-08
0.5247761.6248893.119910e-08
0.52671.6247163.082853e-08
0.5286311.6245453.045660e-08
0.5305681.6243753.008331e-08
0.5325131.6242062.970866e-08
0.5344651.6240382.933263e-08
0.5364241.6238722.895522e-08
0.5383911.6237072.857642e-08
0.5403641.6235442.819624e-08
0.5423451.6233812.781467e-08
0.5443331.623222.743169e-08
0.5463281.623062.704732e-08
0.5483311.6229022.666153e-08
0.551.6227712.634000e-08
0.5503411.6227442.632359e-08
0.5523581.6225882.622647e-08
0.5543831.6224332.612900e-08
0.5564151.6222792.603118e-08
0.5584551.6221262.593299e-08
0.5605021.6219752.583444e-08
0.5625561.6218242.573554e-08
0.5646191.6216752.563626e-08
0.5666881.6215272.553663e-08
0.5687651.621382.543663e-08
0.570851.6212342.533627e-08
0.5729431.6210892.523553e-08
0.5750431.6209452.513443e-08
0.5771511.6208022.503296e-08
0.5792671.6206612.493111e-08
0.581391.620522.482889e-08
0.5835211.620382.472630e-08
0.585661.6202422.462333e-08
0.5878071.6201042.451998e-08
0.5899611.6199672.441625e-08
0.5921241.6198322.431215e-08
0.5942951.6196972.420766e-08
0.5964731.6195642.410279e-08
0.5986591.6194312.399753e-08
0.61.619352.393300e-08
0.6008541.6192992.378968e-08
0.6030561.6191682.342001e-08
0.6052671.6190392.304899e-08
0.6074861.618912.267661e-08
0.6097121.6187822.230286e-08
0.6119471.6186552.192774e-08
0.6141911.6185282.155125e-08
0.6164421.6184032.117338e-08
0.6187021.6182792.079412e-08
0.620971.6181552.041347e-08
0.6232461.6180332.003143e-08
0.625531.6179111.964799e-08
0.6278231.617791.926314e-08
0.6301251.617671.887688e-08
0.6324341.617551.848920e-08
0.6347531.6174321.810010e-08
0.6370791.6173141.770958e-08
0.6394151.6171971.731763e-08
0.6417591.6170811.692423e-08
0.6441111.6169661.652940e-08
0.6464721.6168511.613312e-08
0.6488421.6167381.573539e-08
0.651.6166831.554100e-08
0.651221.6166251.543389e-08
0.6536071.6165131.522435e-08
0.6560031.6164011.501404e-08
0.6584081.616291.480296e-08
0.6608211.616181.459110e-08
0.6632441.6160711.437847e-08
0.6656751.6159631.416506e-08
0.6681151.6158551.395087e-08
0.6705641.6157481.373589e-08
0.6730221.6156411.352012e-08
0.6754891.6155361.330357e-08
0.6779651.6154311.308622e-08
0.680451.6153261.286807e-08
0.6829451.6152231.264912e-08
0.6854481.615121.242937e-08
0.6879611.6150171.220882e-08
0.6904821.6149161.198745e-08
0.6930131.6148151.176528e-08
0.6955541.6147141.154229e-08
0.6981031.6146151.131848e-08
0.71.6145411.115200e-08
0.7006621.6145151.116255e-08
0.7032311.6144171.120347e-08
0.7058091.6143191.124453e-08
0.7083961.6142221.128574e-08
0.7109921.6141251.132711e-08
0.7135991.6140291.136863e-08
0.7162141.6139331.141030e-08
0.718841.6138381.145212e-08
0.7214751.6137441.149409e-08
0.7241191.613651.153622e-08
0.7267741.6135571.157851e-08
0.7294381.6134641.162095e-08
0.7321121.6133721.166354e-08
0.7347951.6132811.170629e-08
0.7374891.613191.174920e-08
0.7401921.6130991.179226e-08
0.7429051.6130091.183548e-08
0.7456291.612921.187886e-08
0.7483621.6128311.192240e-08
0.7511051.6127421.196610e-08
0.7538581.6126551.200996e-08
0.7566221.6125671.205398e-08
0.7593951.612481.209816e-08
0.7621791.6123941.214251e-08
0.7649731.6123081.218701e-08
0.7677771.6122221.223168e-08
0.7705911.6121371.227652e-08
0.7734161.6120531.232151e-08
0.7762511.6119691.236668e-08
0.7790961.6118851.241200e-08
0.7819521.6118021.245750e-08
0.7848181.6117191.250316e-08
0.7876951.6116371.254899e-08
0.7905831.6115551.259498e-08
0.7934811.6114741.264115e-08
0.7963891.6113931.268748e-08
0.7993091.6113121.273398e-08
0.81.6112931.274500e-08
0.8022381.6112321.278066e-08
0.8051791.6111521.282751e-08
0.8081311.6110731.287453e-08
0.8110931.6109941.292172e-08
0.8140661.6109161.296908e-08
0.817051.6108371.301662e-08
0.8200451.610761.306433e-08
0.8230511.6106821.311222e-08
0.8260681.6106051.316028e-08
0.8290961.6105291.320852e-08
0.8321351.6104531.325694e-08
0.8351861.6103771.330553e-08
0.8382471.6103011.335431e-08
0.841321.6102261.340326e-08
0.8444041.6101511.345239e-08
0.8474991.6100771.350169e-08
0.8506061.6100031.355119e-08
0.8537241.6099291.360086e-08
0.8568531.6098551.365071e-08
0.8599941.6097821.370075e-08
0.8631461.6097091.375097e-08
0.866311.6096371.380137e-08
0.8694861.6095651.385196e-08
0.8726731.6094931.390274e-08
0.8758721.6094211.395370e-08
0.8790821.609351.400484e-08
0.8823051.6092791.405618e-08
0.8855391.6092081.410770e-08
0.8887851.6091381.415941e-08
0.8920431.6090681.421132e-08
0.8953131.6089981.426341e-08
0.8985951.6089291.431569e-08
0.9018891.6088591.436817e-08
0.9051951.608791.442083e-08
0.9085131.6087221.447369e-08
0.9118431.6086531.452675e-08
0.9151861.6085851.457999e-08
0.918541.6085171.463344e-08
0.9219071.6084491.468708e-08
0.9252871.6083821.474091e-08
0.9286781.6083151.479494e-08
0.9320831.6082481.484918e-08
0.9354991.6081811.490361e-08
0.9389281.6081141.495824e-08
0.942371.6080481.501307e-08
0.9458241.6079821.506810e-08
0.9492911.6079161.512333e-08
0.9527711.6078511.517876e-08
0.9562641.6077851.523440e-08
0.9597691.607721.529024e-08
0.9632871.6076551.534629e-08
0.9668181.607591.540254e-08
0.9703621.6075251.545900e-08
0.9739191.6074611.551567e-08
0.9774891.6073971.557254e-08
0.9810721.6073331.562962e-08
0.9846681.6072691.568691e-08
0.9882781.6072051.574441e-08
0.9919011.6071411.580212e-08
0.9955361.6070781.586005e-08
0.9991861.6070151.591818e-08
1.002851.6069521.597653e-08
1.006521.6068891.603509e-08
1.010211.6068261.609387e-08
1.013921.6067641.615286e-08
1.017631.6067011.621207e-08
1.021361.6066391.627150e-08
1.025111.6065771.633114e-08
1.028871.6065151.639100e-08
1.032641.6064531.645108e-08
1.036421.6063911.651139e-08
1.040221.6063291.657191e-08
1.044031.6062681.663265e-08
1.047861.6062061.669362e-08
1.05171.6061451.675481e-08
1.055561.6060841.681623e-08
1.059431.6060231.687787e-08
1.061.6060141.688700e-08
1.063311.6059621.693974e-08
1.067211.6059011.700184e-08
1.071121.605841.706416e-08
1.075051.605781.712671e-08
1.078991.6057191.718950e-08
1.082941.6056581.725251e-08
1.086911.6055981.731575e-08
1.09091.6055381.737923e-08
1.094891.6054771.744294e-08
1.098911.6054171.750688e-08
1.102941.6053571.757105e-08
1.106981.6052971.763547e-08
1.111041.6052371.770011e-08
1.115111.6051771.776500e-08
1.11921.6051171.783012e-08
1.12331.6050581.789548e-08
1.127421.6049981.796108e-08
1.131551.6049381.802692e-08
1.13571.6048781.809301e-08
1.139861.6048191.815933e-08
1.144041.6047591.822590e-08
1.148231.60471.829271e-08
1.152441.604641.835977e-08
1.156671.604581.842707e-08
1.160911.6045211.849462e-08
1.165161.6044621.856241e-08
1.169431.6044021.863046e-08
1.173721.6043431.869875e-08
1.178021.6042831.876730e-08
1.182341.6042241.883610e-08
1.186671.6041641.890514e-08
1.191021.6041051.897445e-08
1.195391.6040451.904400e-08
1.199771.6039861.911381e-08
1.204171.6039271.918388e-08
1.208581.6038671.925420e-08
1.213011.6038081.932478e-08
1.217461.6037481.939562e-08
1.221921.6036891.946672e-08
1.22641.6036291.953808e-08
1.23091.6035691.960970e-08
1.235411.603511.968159e-08
1.239941.603451.975374e-08
1.244481.6033911.982615e-08
1.249041.6033311.989883e-08
1.253621.6032711.997177e-08
1.258221.6032112.004498e-08
1.262831.6031512.011846e-08
1.267461.6030912.019221e-08
1.272111.6030312.026623e-08
1.276771.6029712.034052e-08
1.281451.6029112.041509e-08
1.286151.6028512.048992e-08
1.290861.6027912.056503e-08
1.295591.602732.064042e-08
1.300341.602672.071608e-08
1.305111.6026092.079202e-08
1.309891.6025492.086824e-08
1.314691.6024882.094474e-08
1.319511.6024272.102151e-08
1.324351.6023662.109857e-08
1.32921.6023052.117592e-08
1.334081.6022442.125354e-08
1.338971.6021832.133145e-08
1.343881.6021222.140965e-08
1.34881.602062.148813e-08
1.353751.6019992.156690e-08
1.358711.6019372.164596e-08
1.363691.6018752.172531e-08
1.368691.6018142.180495e-08
1.37371.6017512.188488e-08
1.378741.6016892.196510e-08
1.383791.6016272.204562e-08
1.388871.6015652.212643e-08
1.393961.6015022.220754e-08
1.399071.6014392.228895e-08
1.40421.6013762.237065e-08
1.409341.6013132.245266e-08
1.414511.601252.253496e-08
1.419691.6011872.261757e-08
1.42491.6011232.270048e-08
1.430121.6010592.278370e-08
1.435361.6009962.286721e-08
1.440621.6009322.295104e-08
1.445911.6008672.303517e-08
1.451211.6008032.311961e-08
1.456521.6007382.320436e-08
1.461861.6006742.328942e-08
1.467221.6006092.337480e-08
1.47261.6005432.346048e-08
1.4781.6004782.354648e-08
1.483421.6004122.363280e-08
1.488851.6003472.371943e-08
1.494311.6002812.380638e-08
1.499791.6002142.389365e-08
1.51.6002122.389700e-08
1.505291.6001482.687260e-08
1.51081.6000812.997805e-08
1.516341.6000143.309489e-08
1.52191.5999473.622315e-08
1.527481.599883.936288e-08
1.533081.5998124.251411e-08
1.53871.5997454.567690e-08
1.544341.5996764.885128e-08
1.551.5996085.203730e-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
—