Optical constants

Refractive index of K-SK4 (SUMITA)

K-SK4: 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
1.61271
Extinction coefficient k
1.04495e-08
Permittivity ε1
2.60085
Permittivity ε2
3.37041e-08
Absorption coefficient α
0.00223472 cm⁻¹
Penetration depth δ = λ/(2πk)
8.94966e+09 nm
Abbe number Vd
58.555
Chromatic dispersion dn/dλ
-0.0540004 µm⁻¹
Group index ng
1.64444
Group velocity dispersion
95.3862 fs²/mm
Dispersion parameter D
-520.382 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-SK4 (SUMITA): K-SK4
sumita_k_sk4 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-SK4", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_sk4.range_nm)  # (360, 1550) nm
eps = sumita_k_sk4.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=2.5587726−0.0098095616⁢λ2.0+0.014840563⁢λ−2.0+0.0003193166⁢λ−4.0−1.016436×10-5⁢λ−6.0+6.6518794×10-7⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C12.5587726
C2-0.0098095616
C32.0
C40.014840563
C5-2.0
C60.0003193166
C7-4.0
C8-1.016436e-05
C9-6.0
C106.6518794e-07
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 4.04e-07 1.86e-08 -3.68e-10 4.13e-07 4.69e-10 0.197
nd
1.61272
Vd
58.6
glass code
613586
density
value: 3580
thermal expansion
value: 6.1e-06, temperature range: 243 343; value: 7.6e-06, temperature range: 293 573
dPgF
-0.0006
resistance
acid: 4.0; climatic: 3.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 7.65e-07 K⁻¹ at 633 nm, dn/dT = 3.16e-07 K⁻¹ at 1310 nm, dn/dT = 2.80e-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-SK4 (SUMITA), K-SK4: n and k versus wavelength
λ (µm)nk
0.361.6397291.020600e-07
0.361321.6393989.723533e-08
0.3626441.6390699.239298e-08
0.3639731.6387438.753288e-08
0.3653081.638428.265496e-08
0.3666471.63817.775916e-08
0.3679911.6377837.284541e-08
0.369341.6374696.791366e-08
0.371.6373166.549900e-08
0.3706931.6371576.412633e-08
0.3720521.6368486.143641e-08
0.3734161.6365425.873663e-08
0.3747851.6362385.602695e-08
0.3761591.6359375.330735e-08
0.3775371.6356385.057777e-08
0.3789211.6353424.783819e-08
0.381.6351144.570300e-08
0.380311.6350494.544740e-08
0.3817041.6347584.429938e-08
0.3831041.634474.314715e-08
0.3845081.6341844.199070e-08
0.3859171.63394.083002e-08
0.3873321.6336193.966507e-08
0.3887521.633343.849586e-08
0.391.6330983.746800e-08
0.3901771.6330643.731431e-08
0.3916071.632793.607144e-08
0.3930431.6325183.482400e-08
0.3944831.6322483.357200e-08
0.3959291.6319813.231540e-08
0.3973811.6317163.105420e-08
0.3988371.6314532.978838e-08
0.41.6312462.877800e-08
0.4002991.6311932.879952e-08
0.4017671.6309342.890502e-08
0.4032391.6306782.901091e-08
0.4047171.6304242.911719e-08
0.4062011.6301722.922385e-08
0.407691.6299222.933091e-08
0.4091841.6296742.943836e-08
0.4106841.6294282.954620e-08
0.412191.6291852.965444e-08
0.4137011.6289432.976308e-08
0.4152171.6287032.987211e-08
0.4167391.6284652.998155e-08
0.4182671.6282293.009138e-08
0.41981.6279953.020162e-08
0.421.6279653.021600e-08
0.4213391.6277633.031233e-08
0.4228831.6275333.042345e-08
0.4244331.6273053.053498e-08
0.4259891.6270783.064692e-08
0.4275511.6268533.075927e-08
0.4291181.6266313.087204e-08
0.4306911.6264093.098521e-08
0.432271.626193.109880e-08
0.4338541.6259733.121281e-08
0.4354451.6257573.132724e-08
0.4370411.6255433.144208e-08
0.4386431.6253313.155735e-08
0.441.6251533.165500e-08
0.4402511.625123.148824e-08
0.4418641.6249113.041459e-08
0.4434841.6247042.933700e-08
0.445111.6244982.825546e-08
0.4467411.6242942.716995e-08
0.4483791.6240922.608047e-08
0.4500231.6238912.498699e-08
0.4516721.6236922.388951e-08
0.4533281.6234942.278800e-08
0.454991.6232982.168245e-08
0.4566571.6231042.057286e-08
0.4583311.6229111.945919e-08
0.461.6227211.834900e-08
0.4600111.6227191.834945e-08
0.4616981.6225291.841665e-08
0.463391.6223411.848409e-08
0.4650891.6221541.855178e-08
0.4667931.6219681.861972e-08
0.4685051.6217841.868791e-08
0.4702221.6216021.875634e-08
0.4719461.621421.882503e-08
0.4736751.6212411.889397e-08
0.4754121.6210621.896316e-08
0.4771541.6208851.903261e-08
0.4789041.6207091.910231e-08
0.481.62061.914600e-08
0.4806591.6205351.890905e-08
0.4824211.6203621.827555e-08
0.4841891.620191.763973e-08
0.4859641.620021.700159e-08
0.4877461.6198511.636110e-08
0.4895331.6196831.571826e-08
0.4913281.6195161.507307e-08
0.4931291.6193511.442552e-08
0.4949361.6191871.377559e-08
0.4967511.6190251.312327e-08
0.4985721.6188631.246857e-08
0.51.6187381.195500e-08
0.5003991.6187031.196454e-08
0.5022331.6185441.200838e-08
0.5040741.6183861.205238e-08
0.5059221.6182291.209654e-08
0.5077771.6180741.214086e-08
0.5096381.6179191.218535e-08
0.5115061.6177661.223000e-08
0.5133811.6176141.227481e-08
0.5152631.6174631.231979e-08
0.5171521.6173131.236493e-08
0.5190471.6171651.241023e-08
0.520951.6170171.245571e-08
0.522861.616871.250135e-08
0.5247761.6167251.254715e-08
0.52671.6165811.259313e-08
0.5286311.6164371.263927e-08
0.5305681.6162951.268558e-08
0.5325131.6161541.273207e-08
0.5344651.6160141.277872e-08
0.5364241.6158751.282554e-08
0.5383911.6157371.287254e-08
0.5403641.6155991.291970e-08
0.5423451.6154631.296704e-08
0.5443331.6153281.301456e-08
0.5463281.6151941.306225e-08
0.5483311.6150611.311011e-08
0.551.6149511.315000e-08
0.5503411.6149291.312552e-08
0.5523581.6147971.298063e-08
0.5543831.6146671.283521e-08
0.5564151.6145381.268925e-08
0.5584551.6144091.254276e-08
0.5605021.6142821.239574e-08
0.5625561.6141551.224817e-08
0.5646191.6140291.210007e-08
0.5666881.6139041.195142e-08
0.5687651.613781.180223e-08
0.570851.6136571.165249e-08
0.5729431.6135351.150220e-08
0.5750431.6134141.135136e-08
0.5771511.6132931.119997e-08
0.5792671.6131731.104802e-08
0.581391.6130541.089552e-08
0.5835211.6129361.074245e-08
0.585661.6128191.058883e-08
0.5878071.6127031.043464e-08
0.5899611.6125871.027989e-08
0.5921241.6124721.012457e-08
0.5942951.6123589.968677e-09
0.5964731.6122459.812216e-09
0.5986591.6121329.655181e-09
0.61.6120649.558900e-09
0.6008541.6120219.572496e-09
0.6030561.611919.607564e-09
0.6052671.61189.642761e-09
0.6074861.611699.678087e-09
0.6097121.6115819.713542e-09
0.6119471.6114739.749127e-09
0.6141911.6113669.784843e-09
0.6164421.6112599.820689e-09
0.6187021.6111549.856667e-09
0.620971.6110489.892777e-09
0.6232461.6109449.929019e-09
0.625531.610849.965394e-09
0.6278231.6107371.000190e-08
0.6301251.6106351.003854e-08
0.6324341.6105331.007532e-08
0.6347531.6104321.011223e-08
0.6370791.6103311.014928e-08
0.6394151.6102311.018646e-08
0.6417591.6101321.022378e-08
0.6441111.6100341.026124e-08
0.6464721.6099361.029883e-08
0.6488421.6098391.033656e-08
0.651.6097911.035500e-08
0.651221.6097421.037445e-08
0.6536071.6096461.041250e-08
0.6560031.6095511.045069e-08
0.6584081.6094561.048902e-08
0.6608211.6093611.052749e-08
0.6632441.6092681.056610e-08
0.6656751.6091751.060486e-08
0.6681151.6090821.064375e-08
0.6705641.608991.068279e-08
0.6730221.6088991.072197e-08
0.6754891.6088081.076130e-08
0.6779651.6087181.080077e-08
0.680451.6086281.084038e-08
0.6829451.6085391.088014e-08
0.6854481.608451.092004e-08
0.6879611.6083621.096009e-08
0.6904821.6082751.100029e-08
0.6930131.6081881.104063e-08
0.6955541.6081011.108113e-08
0.6981031.6080151.112177e-08
0.71.6079511.115200e-08
0.7006621.6079291.116255e-08
0.7032311.6078441.120347e-08
0.7058091.607761.124453e-08
0.7083961.6076761.128574e-08
0.7109921.6075921.132711e-08
0.7135991.6075091.136863e-08
0.7162141.6074261.141030e-08
0.718841.6073441.145212e-08
0.7214751.6072621.149409e-08
0.7241191.6071811.153622e-08
0.7267741.60711.157851e-08
0.7294381.607021.162095e-08
0.7321121.606941.166354e-08
0.7347951.6068611.170629e-08
0.7374891.6067821.174920e-08
0.7401921.6067031.179226e-08
0.7429051.6066251.183548e-08
0.7456291.6065471.187886e-08
0.7483621.606471.192240e-08
0.7511051.6063931.196610e-08
0.7538581.6063161.200996e-08
0.7566221.606241.205398e-08
0.7593951.6061641.209816e-08
0.7621791.6060891.214251e-08
0.7649731.6060141.218701e-08
0.7677771.6059391.223168e-08
0.7705911.6058651.227652e-08
0.7734161.6057911.232151e-08
0.7762511.6057181.236668e-08
0.7790961.6056441.241200e-08
0.7819521.6055721.245750e-08
0.7848181.6054991.250316e-08
0.7876951.6054271.254899e-08
0.7905831.6053551.259498e-08
0.7934811.6052841.264115e-08
0.7963891.6052131.268748e-08
0.7993091.6051421.273398e-08
0.81.6051251.274500e-08
0.8022381.6050721.278066e-08
0.8051791.6050021.282751e-08
0.8081311.6049321.287453e-08
0.8110931.6048621.292172e-08
0.8140661.6047931.296908e-08
0.817051.6047241.301662e-08
0.8200451.6046561.306433e-08
0.8230511.6045881.311222e-08
0.8260681.604521.316028e-08
0.8290961.6044521.320852e-08
0.8321351.6043851.325694e-08
0.8351861.6043181.330553e-08
0.8382471.6042511.335431e-08
0.841321.6041841.340326e-08
0.8444041.6041181.345239e-08
0.8474991.6040521.350169e-08
0.8506061.6039861.355119e-08
0.8537241.6039211.360086e-08
0.8568531.6038561.365071e-08
0.8599941.6037911.370075e-08
0.8631461.6037261.375097e-08
0.866311.6036611.380137e-08
0.8694861.6035971.385196e-08
0.8726731.6035331.390274e-08
0.8758721.6034691.395370e-08
0.8790821.6034061.400484e-08
0.8823051.6033431.405618e-08
0.8855391.6032791.410770e-08
0.8887851.6032171.415941e-08
0.8920431.6031541.421132e-08
0.8953131.6030911.426341e-08
0.8985951.6030291.431569e-08
0.9018891.6029671.436817e-08
0.9051951.6029051.442083e-08
0.9085131.6028441.447369e-08
0.9118431.6027821.452675e-08
0.9151861.6027211.457999e-08
0.918541.602661.463344e-08
0.9219071.6025991.468708e-08
0.9252871.6025381.474091e-08
0.9286781.6024781.479494e-08
0.9320831.6024171.484918e-08
0.9354991.6023571.490361e-08
0.9389281.6022971.495824e-08
0.942371.6022371.501307e-08
0.9458241.6021771.506810e-08
0.9492911.6021181.512333e-08
0.9527711.6020581.517876e-08
0.9562641.6019991.523440e-08
0.9597691.601941.529024e-08
0.9632871.6018811.534629e-08
0.9668181.6018221.540254e-08
0.9703621.6017631.545900e-08
0.9739191.6017051.551567e-08
0.9774891.6016461.557254e-08
0.9810721.6015881.562962e-08
0.9846681.601531.568691e-08
0.9882781.6014711.574441e-08
0.9919011.6014131.580212e-08
0.9955361.6013561.586005e-08
0.9991861.6012981.591818e-08
1.002851.601241.597653e-08
1.006521.6011821.603509e-08
1.010211.6011251.609387e-08
1.013921.6010681.615286e-08
1.017631.601011.621207e-08
1.021361.6009531.627150e-08
1.025111.6008961.633114e-08
1.028871.6008391.639100e-08
1.032641.6007821.645108e-08
1.036421.6007251.651139e-08
1.040221.6006681.657191e-08
1.044031.6006111.663265e-08
1.047861.6005551.669362e-08
1.05171.6004981.675481e-08
1.055561.6004411.681623e-08
1.059431.6003851.687787e-08
1.061.6003761.688700e-08
1.063311.6003281.693974e-08
1.067211.6002721.700184e-08
1.071121.6002151.706416e-08
1.075051.6001591.712671e-08
1.078991.6001031.718950e-08
1.082941.6000471.725251e-08
1.086911.599991.731575e-08
1.09091.5999341.737923e-08
1.094891.5998781.744294e-08
1.098911.5998221.750688e-08
1.102941.5997661.757105e-08
1.106981.5997091.763547e-08
1.111041.5996531.770011e-08
1.115111.5995971.776500e-08
1.11921.5995411.783012e-08
1.12331.5994851.789548e-08
1.127421.5994291.796108e-08
1.131551.5993731.802692e-08
1.13571.5993171.809301e-08
1.139861.599261.815933e-08
1.144041.5992041.822590e-08
1.148231.5991481.829271e-08
1.152441.5990921.835977e-08
1.156671.5990361.842707e-08
1.160911.598981.849462e-08
1.165161.5989231.856241e-08
1.169431.5988671.863046e-08
1.173721.5988111.869875e-08
1.178021.5987541.876730e-08
1.182341.5986981.883610e-08
1.186671.5986421.890514e-08
1.191021.5985851.897445e-08
1.195391.5985291.904400e-08
1.199771.5984721.911381e-08
1.204171.5984151.918388e-08
1.208581.5983591.925420e-08
1.213011.5983021.932478e-08
1.217461.5982451.939562e-08
1.221921.5981881.946672e-08
1.22641.5981311.953808e-08
1.23091.5980741.960970e-08
1.235411.5980171.968159e-08
1.239941.597961.975374e-08
1.244481.5979031.982615e-08
1.249041.5978451.989883e-08
1.253621.5977881.997177e-08
1.258221.597732.004498e-08
1.262831.5976732.011846e-08
1.267461.5976152.019221e-08
1.272111.5975572.026623e-08
1.276771.5974992.034052e-08
1.281451.5974412.041509e-08
1.286151.5973832.048992e-08
1.290861.5973252.056503e-08
1.295591.5972662.064042e-08
1.300341.5972082.071608e-08
1.305111.5971492.079202e-08
1.309891.597092.086824e-08
1.314691.5970312.094474e-08
1.319511.5969722.102151e-08
1.324351.5969132.109857e-08
1.32921.5968542.117592e-08
1.334081.5967942.125354e-08
1.338971.5967342.133145e-08
1.343881.5966752.140965e-08
1.34881.5966152.148813e-08
1.353751.5965552.156690e-08
1.358711.5964942.164596e-08
1.363691.5964342.172531e-08
1.368691.5963732.180495e-08
1.37371.5963132.188488e-08
1.378741.5962522.196510e-08
1.383791.5961912.204562e-08
1.388871.5961292.212643e-08
1.393961.5960682.220754e-08
1.399071.5960062.228895e-08
1.40421.5959442.237065e-08
1.409341.5958822.245266e-08
1.414511.595822.253496e-08
1.419691.5957572.261757e-08
1.42491.5956952.270048e-08
1.430121.5956322.278370e-08
1.435361.5955692.286721e-08
1.440621.5955052.295104e-08
1.445911.5954422.303517e-08
1.451211.5953782.311961e-08
1.456521.5953142.320436e-08
1.461861.595252.328942e-08
1.467221.5951862.337480e-08
1.47261.5951212.346048e-08
1.4781.5950562.354648e-08
1.483421.5949912.363280e-08
1.488851.5949252.371943e-08
1.494311.594862.380638e-08
1.499791.5947942.389365e-08
1.51.5947912.389700e-08
1.505291.5947282.859693e-08
1.51081.5946613.350195e-08
1.516341.5945943.842496e-08
1.52191.5945274.336602e-08
1.527481.594464.832518e-08
1.533081.5943935.330253e-08
1.53871.5943255.829812e-08
1.544341.5942576.331202e-08
1.551.5941886.834430e-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
—