Optical constants

Refractive index of K-LaFK60(M) (SUMITA)

K-LaFK60(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
1.62848
Extinction coefficient k
9.36134e-09
Permittivity ε1
2.65194
Permittivity ε2
3.04895e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
63.255
Chromatic dispersion dn/dλ
-0.0513537 µm⁻¹
Group index ng
1.65865
Group velocity dispersion
89.5286 fs²/mm
Dispersion parameter D
-488.426 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-LaFK60(M) (SUMITA): K-LaFK60(M)
mat = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-LaFK60(M)", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mat.range_nm)  # (360, 1550) nm
eps = mat.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=2.6117274−0.01021392⁢λ2.0+0.014472638⁢λ−2.0+0.00020938021⁢λ−4.0+2.8785693×10-6⁢λ−6.0−9.063171×10-8⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C12.6117274
C2-0.01021392
C32.0
C40.014472638
C5-2.0
C60.00020938021
C7-4.0
C82.8785693e-06
C9-6.0
C10-9.063171e-08
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -9.6e-06 1.03e-08 -7.48e-11 3.87e-07 1.56e-10 0.188
nd
1.62848
Vd
63.2
glass code
632638
density
value: 4290
thermal expansion
value: 9.3e-06, temperature range: 243 343; value: 1.14e-05, temperature range: 293 573
dPgF
0.0031
resistance
acid: 5.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -4.32e-06 K⁻¹ at 633 nm, dn/dT = -4.65e-06 K⁻¹ at 1310 nm, dn/dT = -4.67e-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-LaFK60(M) (SUMITA), K-LaFK60(M): n and k versus wavelength
λ (µm)nk
0.361.6539484.723300e-07
0.361321.6536384.596696e-07
0.3626441.6533314.469627e-07
0.3639731.6530264.342093e-07
0.3653081.6527244.214091e-07
0.3666471.6524254.085620e-07
0.3679911.6521283.956678e-07
0.369341.6518333.827263e-07
0.371.6516913.763900e-07
0.3706931.6515423.696057e-07
0.3720521.6512523.563110e-07
0.3734161.6509653.429676e-07
0.3747851.650683.295752e-07
0.3761591.6503983.161338e-07
0.3775371.6501183.026431e-07
0.3789211.6498412.891030e-07
0.381.6496272.785500e-07
0.380311.6495652.755576e-07
0.3817041.6492922.621173e-07
0.3831041.6490222.486278e-07
0.3845081.6487532.350889e-07
0.3859171.6484872.215003e-07
0.3873321.6482232.078619e-07
0.3887521.6479611.941735e-07
0.391.6477331.821400e-07
0.3901771.6477011.809243e-07
0.3916071.6474441.710928e-07
0.3930431.6471881.612253e-07
0.3944831.6469351.513217e-07
0.3959291.6466841.413817e-07
0.3973811.6464351.314053e-07
0.3988371.6461871.213923e-07
0.41.6459921.134000e-07
0.4002991.6459421.126115e-07
0.4017671.6456991.087457e-07
0.4032391.6454581.048657e-07
0.4047171.6452191.009716e-07
0.4062011.6449829.706311e-08
0.407691.6447469.314033e-08
0.4091841.6445138.920317e-08
0.4106841.6442828.525157e-08
0.412191.6440528.128549e-08
0.4137011.6438247.730488e-08
0.4152171.6435987.330967e-08
0.4167391.6433746.929981e-08
0.4182671.6431526.527526e-08
0.41981.6429316.123596e-08
0.421.6429036.070900e-08
0.4213391.6427135.876411e-08
0.4228831.6424965.652047e-08
0.4244331.642285.426860e-08
0.4259891.6420675.200847e-08
0.4275511.6418554.974007e-08
0.4291181.6416454.746334e-08
0.4306911.6414374.517827e-08
0.432271.641234.288483e-08
0.4338541.6410254.058297e-08
0.4354451.6408213.827268e-08
0.4370411.6406193.595392e-08
0.4386431.6404193.362667e-08
0.441.6402513.165500e-08
0.4402511.640223.148824e-08
0.4418641.6400233.041459e-08
0.4434841.6398282.933700e-08
0.445111.6396342.825546e-08
0.4467411.6394412.716995e-08
0.4483791.639252.608047e-08
0.4500231.639062.498699e-08
0.4516721.6388722.388951e-08
0.4533281.6386862.278800e-08
0.454991.6385012.168245e-08
0.4566571.6383172.057286e-08
0.4583311.6381351.945919e-08
0.461.6379551.834900e-08
0.4600111.6379541.834510e-08
0.4616981.6377751.776563e-08
0.463391.6375971.718403e-08
0.4650891.637421.660030e-08
0.4667931.6372451.601444e-08
0.4685051.6370711.542642e-08
0.4702221.6368981.483625e-08
0.4719461.6367271.424392e-08
0.4736751.6365571.364941e-08
0.4754121.6363881.305273e-08
0.4771541.6362211.245386e-08
0.4789041.6360551.185279e-08
0.481.6359511.147600e-08
0.4806591.635891.136033e-08
0.4824211.6357261.105109e-08
0.4841891.6355641.074071e-08
0.4859641.6354031.042920e-08
0.4877461.6352431.011655e-08
0.4895331.6350849.802745e-09
0.4913281.6349279.487793e-09
0.4931291.634779.171688e-09
0.4949361.6346158.854423e-09
0.4967511.6344618.535996e-09
0.4985721.6343088.216401e-09
0.51.634197.965700e-09
0.5003991.6341577.972060e-09
0.5022331.6340068.001284e-09
0.5040741.6338578.030614e-09
0.5059221.6337088.060053e-09
0.5077771.6335618.089599e-09
0.5096381.6334158.119253e-09
0.5115061.633278.149016e-09
0.5133811.6331268.178889e-09
0.5152631.6329838.208870e-09
0.5171521.6328418.238962e-09
0.5190471.63278.269164e-09
0.520951.632568.299477e-09
0.522861.6324228.329900e-09
0.5247761.6322848.360436e-09
0.52671.6321478.391083e-09
0.5286311.6320118.421843e-09
0.5305681.6318778.452715e-09
0.5325131.6317438.483700e-09
0.5344651.631618.514799e-09
0.5364241.6314788.546013e-09
0.5383911.6313478.577340e-09
0.5403641.6312178.608782e-09
0.5423451.6310888.640340e-09
0.5443331.630968.672013e-09
0.5463281.6308328.703803e-09
0.5483311.6307068.735708e-09
0.551.6306028.762300e-09
0.5503411.6305818.767731e-09
0.5523581.6304568.799871e-09
0.5543831.6303328.832130e-09
0.5564151.630218.864506e-09
0.5584551.6300888.897001e-09
0.5605021.6299678.929615e-09
0.5625561.6298468.962348e-09
0.5646191.6297278.995202e-09
0.5666881.6296089.028176e-09
0.5687651.6294919.061271e-09
0.570851.6293749.094487e-09
0.5729431.6292579.127825e-09
0.5750431.6291429.161285e-09
0.5771511.6290279.194868e-09
0.5792671.6289149.228574e-09
0.581391.6288019.262404e-09
0.5835211.6286889.296357e-09
0.585661.6285779.330435e-09
0.5878071.6284669.364638e-09
0.5899611.6283569.398966e-09
0.5921241.6282479.433420e-09
0.5942951.6281399.468001e-09
0.5964731.6280319.502708e-09
0.5986591.6279249.537542e-09
0.61.6278599.558900e-09
0.6008541.6278179.572496e-09
0.6030561.6277129.607564e-09
0.6052671.6276079.642761e-09
0.6074861.6275039.678087e-09
0.6097121.6273999.713542e-09
0.6119471.6272969.749127e-09
0.6141911.6271949.784843e-09
0.6164421.6270939.820689e-09
0.6187021.6269929.856667e-09
0.620971.6268919.892777e-09
0.6232461.6267929.929019e-09
0.625531.6266939.965394e-09
0.6278231.6265951.000190e-08
0.6301251.6264971.003854e-08
0.6324341.62641.007532e-08
0.6347531.6263031.011223e-08
0.6370791.6262081.014928e-08
0.6394151.6261121.018646e-08
0.6417591.6260181.022378e-08
0.6441111.6259241.026124e-08
0.6464721.625831.029883e-08
0.6488421.6257371.033656e-08
0.651.6256921.035500e-08
0.651221.6256451.037445e-08
0.6536071.6255531.041250e-08
0.6560031.6254621.045069e-08
0.6584081.6253711.048902e-08
0.6608211.6252811.052749e-08
0.6632441.6251921.056610e-08
0.6656751.6251031.060486e-08
0.6681151.6250141.064375e-08
0.6705641.6249261.068279e-08
0.6730221.6248391.072197e-08
0.6754891.6247521.076130e-08
0.6779651.6246661.080077e-08
0.680451.624581.084038e-08
0.6829451.6244941.088014e-08
0.6854481.624411.092004e-08
0.6879611.6243251.096009e-08
0.6904821.6242411.100029e-08
0.6930131.6241581.104063e-08
0.6955541.6240751.108113e-08
0.6981031.6239921.112177e-08
0.71.6239321.115200e-08
0.7006621.623911.116255e-08
0.7032311.6238291.120347e-08
0.7058091.6237481.124453e-08
0.7083961.6236671.128574e-08
0.7109921.6235871.132711e-08
0.7135991.6235071.136863e-08
0.7162141.6234281.141030e-08
0.718841.6233491.145212e-08
0.7214751.623271.149409e-08
0.7241191.6231921.153622e-08
0.7267741.6231151.157851e-08
0.7294381.6230371.162095e-08
0.7321121.6229611.166354e-08
0.7347951.6228841.170629e-08
0.7374891.6228081.174920e-08
0.7401921.6227331.179226e-08
0.7429051.6226571.183548e-08
0.7456291.6225821.187886e-08
0.7483621.6225081.192240e-08
0.7511051.6224341.196610e-08
0.7538581.622361.200996e-08
0.7566221.6222871.205398e-08
0.7593951.6222141.209816e-08
0.7621791.6221411.214251e-08
0.7649731.6220691.218701e-08
0.7677771.6219971.223168e-08
0.7705911.6219251.227652e-08
0.7734161.6218541.232151e-08
0.7762511.6217831.236668e-08
0.7790961.6217121.241200e-08
0.7819521.6216421.245750e-08
0.7848181.6215721.250316e-08
0.7876951.6215031.254899e-08
0.7905831.6214331.259498e-08
0.7934811.6213641.264115e-08
0.7963891.6212961.268748e-08
0.7993091.6212271.273398e-08
0.81.6212111.274500e-08
0.8022381.6211591.278066e-08
0.8051791.6210911.282751e-08
0.8081311.6210241.287453e-08
0.8110931.6209571.292172e-08
0.8140661.620891.296908e-08
0.817051.6208231.301662e-08
0.8200451.6207571.306433e-08
0.8230511.6206911.311222e-08
0.8260681.6206251.316028e-08
0.8290961.6205591.320852e-08
0.8321351.6204941.325694e-08
0.8351861.6204291.330553e-08
0.8382471.6203641.335431e-08
0.841321.6202991.340326e-08
0.8444041.6202351.345239e-08
0.8474991.6201711.350169e-08
0.8506061.6201071.355119e-08
0.8537241.6200441.360086e-08
0.8568531.619981.365071e-08
0.8599941.6199171.370075e-08
0.8631461.6198541.375097e-08
0.866311.6197911.380137e-08
0.8694861.6197291.385196e-08
0.8726731.6196671.390274e-08
0.8758721.6196051.395370e-08
0.8790821.6195431.400484e-08
0.8823051.6194811.405618e-08
0.8855391.619421.410770e-08
0.8887851.6193581.415941e-08
0.8920431.6192971.421132e-08
0.8953131.6192361.426341e-08
0.8985951.6191761.431569e-08
0.9018891.6191151.436817e-08
0.9051951.6190551.442083e-08
0.9085131.6189951.447369e-08
0.9118431.6189351.452675e-08
0.9151861.6188751.457999e-08
0.918541.6188151.463344e-08
0.9219071.6187551.468708e-08
0.9252871.6186961.474091e-08
0.9286781.6186371.479494e-08
0.9320831.6185781.484918e-08
0.9354991.6185191.490361e-08
0.9389281.618461.495824e-08
0.942371.6184011.501307e-08
0.9458241.6183431.506810e-08
0.9492911.6182851.512333e-08
0.9527711.6182261.517876e-08
0.9562641.6181681.523440e-08
0.9597691.618111.529024e-08
0.9632871.6180521.534629e-08
0.9668181.6179951.540254e-08
0.9703621.6179371.545900e-08
0.9739191.6178791.551567e-08
0.9774891.6178221.557254e-08
0.9810721.6177651.562962e-08
0.9846681.6177071.568691e-08
0.9882781.617651.574441e-08
0.9919011.6175931.580212e-08
0.9955361.6175361.586005e-08
0.9991861.6174791.591818e-08
1.002851.6174221.597653e-08
1.006521.6173661.603509e-08
1.010211.6173091.609387e-08
1.013921.6172531.615286e-08
1.017631.6171961.621207e-08
1.021361.617141.627150e-08
1.025111.6170831.633114e-08
1.028871.6170271.639100e-08
1.032641.6169711.645108e-08
1.036421.6169151.651139e-08
1.040221.6168591.657191e-08
1.044031.6168021.663265e-08
1.047861.6167461.669362e-08
1.05171.616691.675481e-08
1.055561.6166341.681623e-08
1.059431.6165791.687787e-08
1.061.616571.688700e-08
1.063311.6165231.721010e-08
1.067211.6164671.759053e-08
1.071121.6164111.797235e-08
1.075051.6163551.835558e-08
1.078991.6162991.874021e-08
1.082941.6162441.912625e-08
1.086911.6161881.951371e-08
1.09091.6161321.990258e-08
1.094891.6160762.029288e-08
1.098911.6160212.068462e-08
1.102941.6159652.107778e-08
1.106981.6159092.147239e-08
1.111041.6158542.186845e-08
1.115111.6157982.226596e-08
1.11921.6157422.266492e-08
1.12331.6156862.306535e-08
1.127421.6156312.346724e-08
1.131551.6155752.387061e-08
1.13571.6155192.427546e-08
1.139861.6154632.468179e-08
1.144041.6154072.508961e-08
1.148231.6153512.549892e-08
1.152441.6152952.590974e-08
1.156671.6152392.632206e-08
1.160911.6151832.673589e-08
1.165161.6151272.715124e-08
1.169431.6150712.756812e-08
1.173721.6150152.798652e-08
1.178021.6149592.840645e-08
1.182341.6149032.882792e-08
1.186671.6148462.925094e-08
1.191021.614792.967551e-08
1.195391.6147333.010164e-08
1.199771.6146773.052932e-08
1.204171.614623.095858e-08
1.208581.6145643.138941e-08
1.213011.6145073.182182e-08
1.217461.614453.225581e-08
1.221921.6143933.269139e-08
1.22641.6143363.312857e-08
1.23091.6142793.356735e-08
1.235411.6142223.400775e-08
1.239941.6141643.444975e-08
1.244481.6141073.489338e-08
1.249041.614053.533863e-08
1.253621.6139923.578551e-08
1.258221.6139343.623404e-08
1.262831.6138763.668420e-08
1.267461.6138183.713602e-08
1.272111.613763.758949e-08
1.276771.6137023.804463e-08
1.281451.6136443.850143e-08
1.286151.6135853.895991e-08
1.290861.6135273.942006e-08
1.295591.6134683.988191e-08
1.300341.6134094.034545e-08
1.305111.613354.081069e-08
1.309891.6132914.127763e-08
1.314691.6132324.174628e-08
1.319511.6131734.221665e-08
1.324351.6131134.268875e-08
1.32921.6130534.316258e-08
1.334081.6129934.363814e-08
1.338971.6129334.411545e-08
1.343881.6128734.459450e-08
1.34881.6128134.507532e-08
1.353751.6127524.555789e-08
1.358711.6126914.604224e-08
1.363691.612634.652835e-08
1.368691.6125694.701626e-08
1.37371.6125084.750595e-08
1.378741.6124464.799743e-08
1.383791.6123854.849072e-08
1.388871.6123234.898581e-08
1.393961.6122614.948272e-08
1.399071.6121984.998145e-08
1.40421.6121365.048201e-08
1.409341.6120735.098440e-08
1.414511.612015.148864e-08
1.419691.6119475.199472e-08
1.42491.6118845.250266e-08
1.430121.611825.301246e-08
1.435361.6117565.352413e-08
1.440621.6116925.403768e-08
1.445911.6116285.455311e-08
1.451211.6115635.507042e-08
1.456521.6114995.558964e-08
1.461861.6114345.611075e-08
1.467221.6113685.663378e-08
1.47261.6113035.715872e-08
1.4781.6112375.768559e-08
1.483421.6111715.821439e-08
1.488851.6111055.874513e-08
1.494311.6110385.927781e-08
1.499791.6109715.981245e-08
1.51.6109695.983300e-08
1.505291.6109046.311624e-08
1.51081.6108376.654277e-08
1.516341.6107696.998185e-08
1.52191.6107017.343354e-08
1.527481.6106337.689788e-08
1.533081.6105648.037492e-08
1.53871.6104958.386470e-08
1.544341.6104268.736728e-08
1.551.6103579.088270e-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
—