Optical constants

Refractive index of H-LAK4L (CDGM)

H-LAK4L: n,k 0.302–2.325 µm

Data
formula 2 + tabulated k
Range
0.302–2.325 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.302–2.325 µm
Refractive index n
1.64
Extinction coefficient k
1.51379e-08
Permittivity ε1
2.68959
Permittivity ε2
4.96521e-08
Absorption coefficient α
0.00323737 cm⁻¹
Penetration depth δ = λ/(2πk)
6.17785e+09 nm
Abbe number Vd
60.203
Chromatic dispersion dn/dλ
-0.0551012 µm⁻¹
Group index ng
1.67238
Group velocity dispersion
93.4025 fs²/mm
Dispersion parameter D
-509.56 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

# H-LAK4L (CDGM): H-LAK4L
cdgm_h_lak4l = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-LAK4L", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_lak4l.range_nm)  # (302, 2325) nm
eps = cdgm_h_lak4l.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

Sellmeier (C in µm²) (formula 2), λ in µm
n2−1=0.402312889λ2λ2+0.00267679247+1.24575177λ2λ2−0.013171611+1.28904431λ2λ2−93.3654804

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.402312889
C3-0.00267679247
C41.24575177
C50.013171611
C61.28904431
C793.3654804

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 1.06e-06 1.84e-08 -7.4e-11 2.79e-07 6.19e-10 0.275
nd
1.640000
Vd
60.202769
glass code
640602
density
value: 2990
thermal expansion
value: 6e-06, temperature range: 243 343; value: 7.8e-06, temperature range: 293 573
dPgF
-0.006
resistance
climatic: 3.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 9.85e-07 K⁻¹ at 633 nm, dn/dT = 6.19e-07 K⁻¹ at 1310 nm, dn/dT = 5.91e-07 K⁻¹ at 1550 nm

References

Cite

CDGM Zemax catalog 2022-06 (obtained from http://www.cdgmgd.com); See also CDGM optical glass data sheets; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 431 wavelengths, the same grid as the API and the library
H-LAK4L (CDGM), H-LAK4L: n and k versus wavelength
λ (µm)nk
0.3021.6868945.698000e-06
0.3035491.6861845.441130e-06
0.3051061.6854825.182942e-06
0.306671.684794.923430e-06
0.3082431.6841084.662587e-06
0.3098241.6834344.400407e-06
0.311.6833594.371200e-06
0.3114131.6827684.174986e-06
0.313011.6821123.953182e-06
0.3146151.6814643.730242e-06
0.3162291.6808243.506157e-06
0.317851.6801933.280924e-06
0.3194811.6795693.054536e-06
0.321.6793732.982400e-06
0.3211191.6789542.870529e-06
0.3227661.6783472.705892e-06
0.3244211.6777472.540410e-06
0.3260851.6771552.374080e-06
0.3277571.6765712.206897e-06
0.3294381.6759932.038857e-06
0.331.6758031.982700e-06
0.3311281.6754241.900078e-06
0.3328261.6748611.775668e-06
0.3345331.6743051.650620e-06
0.3362491.6737571.524931e-06
0.3379731.6732151.398598e-06
0.3397061.672681.271616e-06
0.341.672591.250100e-06
0.3414481.6721511.179741e-06
0.34321.6716291.094682e-06
0.344961.6711141.009187e-06
0.3467291.6706059.232527e-07
0.3485071.6701028.368783e-07
0.351.6696877.643600e-07
0.3502941.6696057.558627e-07
0.3520911.6691157.040070e-07
0.3538971.668636.518854e-07
0.3557121.6681515.994965e-07
0.3575361.6676795.468389e-07
0.3593691.6672114.939112e-07
0.361.6670534.757100e-07
0.3612121.666754.524852e-07
0.3630651.6662944.170008e-07
0.3649271.6658433.813345e-07
0.3667981.6653983.454853e-07
0.368681.6649583.094522e-07
0.371.6646542.841600e-07
0.370571.6645242.780746e-07
0.3724711.6640952.577984e-07
0.3743811.663672.374183e-07
0.3763011.6632512.169336e-07
0.3782311.6628371.963438e-07
0.381.6624631.774700e-07
0.3801711.6624271.764378e-07
0.382121.6620231.646498e-07
0.384081.6616231.528014e-07
0.386051.6612281.408922e-07
0.388031.6608371.289220e-07
0.391.6604551.170100e-07
0.390021.6604511.169444e-07
0.392021.660071.103126e-07
0.394031.6596931.036469e-07
0.3960511.659329.694697e-08
0.3980821.6589529.021267e-08
0.41.6586098.385500e-08
0.4001241.6585878.366931e-08
0.4021761.6582278.059669e-08
0.4042391.6578727.750830e-08
0.4063121.657527.440408e-08
0.4083961.6571727.128394e-08
0.410491.6568286.814779e-08
0.4125951.6564886.499557e-08
0.4147111.6561526.182717e-08
0.4168381.655825.864253e-08
0.4189761.6554915.544155e-08
0.421.6553365.390800e-08
0.4211251.6551665.325368e-08
0.4232841.6548455.199704e-08
0.4254551.6545275.073395e-08
0.4276371.6542134.946438e-08
0.429831.6539034.818830e-08
0.4320351.6535954.690567e-08
0.434251.6532924.561647e-08
0.4364771.6529914.432065e-08
0.4387161.6526944.301819e-08
0.441.6525264.227100e-08
0.4409661.65244.182785e-08
0.4432271.652114.079016e-08
0.44551.6518223.974715e-08
0.4477851.6515383.869879e-08
0.4500821.6512573.764505e-08
0.452391.6509783.658591e-08
0.454711.6507033.552134e-08
0.4570421.6504313.445130e-08
0.4593861.6501623.337578e-08
0.461.6500923.309400e-08
0.4617421.6498953.221375e-08
0.464111.6496323.101706e-08
0.466491.6493712.981423e-08
0.4688831.6491132.860523e-08
0.4712871.6488582.739003e-08
0.4737041.6486052.616859e-08
0.4761341.6483562.494090e-08
0.4785751.6481082.370690e-08
0.481.6479662.298700e-08
0.481031.6478642.283031e-08
0.4834971.6476222.245496e-08
0.4859761.6473822.207769e-08
0.4884691.6471452.169848e-08
0.4909741.646912.131733e-08
0.4934921.6466782.093422e-08
0.4960231.6464482.054914e-08
0.4985671.6462212.016210e-08
0.51.6460941.994400e-08
0.5011231.6459961.989003e-08
0.5036931.6457731.976656e-08
0.5062771.6455521.964247e-08
0.5088731.6453341.951773e-08
0.5114831.6451181.939236e-08
0.5141061.6449041.926634e-08
0.5167431.6446921.913968e-08
0.5193931.6444831.901237e-08
0.5220561.6442751.888441e-08
0.5247341.644071.875578e-08
0.5274251.6438661.862650e-08
0.530131.6436651.849656e-08
0.5328491.6434651.836595e-08
0.5355811.6432681.823467e-08
0.5383281.6430721.810272e-08
0.5410891.6428781.797009e-08
0.5438641.6426871.783678e-08
0.5466531.6424971.770278e-08
0.5494571.6423081.756810e-08
0.551.6422721.754200e-08
0.5522751.6421221.739656e-08
0.5551071.6419381.721546e-08
0.5579541.6417551.703344e-08
0.5608151.6415741.685047e-08
0.5636911.6413941.666657e-08
0.5665821.6412171.648173e-08
0.5694881.6410411.629594e-08
0.5724091.6408661.610919e-08
0.5753441.6406931.592149e-08
0.5782951.6405221.573282e-08
0.5812611.6403531.554319e-08
0.5842421.6401841.535258e-08
0.5872381.6400181.516100e-08
0.590251.6398531.496844e-08
0.5932771.6396891.477488e-08
0.5963191.6395271.458034e-08
0.5993781.6393661.438479e-08
0.61.6393341.434500e-08
0.6024521.6392071.440364e-08
0.6055411.6390491.447755e-08
0.6086471.6388931.455183e-08
0.6117681.6387381.462650e-08
0.6149061.6385841.470154e-08
0.6180591.6384321.477698e-08
0.6212291.638281.485280e-08
0.6244151.6381311.492901e-08
0.6276171.6379821.500561e-08
0.6308361.6378351.508260e-08
0.6340711.6376891.515998e-08
0.6373231.6375441.523777e-08
0.6405921.63741.531595e-08
0.6438771.6372571.539454e-08
0.6471791.6371161.547352e-08
0.651.6369971.554100e-08
0.6504981.6369761.555291e-08
0.6538341.6368371.563264e-08
0.6571871.6366991.571278e-08
0.6605581.6365621.579333e-08
0.6639451.6364261.587430e-08
0.6673511.6362911.595568e-08
0.6707731.6361581.603748e-08
0.6742131.6360251.611969e-08
0.6776711.6358931.620233e-08
0.6811461.6357621.628540e-08
0.684641.6356331.636889e-08
0.6881511.6355041.645280e-08
0.691681.6353761.653715e-08
0.6952271.6352491.662193e-08
0.6987931.6351231.670715e-08
0.71.6350811.673600e-08
0.7023761.6349981.664115e-08
0.7059791.6348741.649739e-08
0.7095991.6347511.635289e-08
0.7132381.6346281.620765e-08
0.7168961.6345071.606167e-08
0.7205731.6343861.591494e-08
0.7242681.6342661.576745e-08
0.7279831.6341471.561921e-08
0.7317161.6340281.547020e-08
0.7354691.6339111.532044e-08
0.7392411.6337941.516990e-08
0.7430321.6336781.501859e-08
0.7468431.6335621.486651e-08
0.7506731.6334481.471365e-08
0.7545231.6333341.456000e-08
0.7583921.633221.440557e-08
0.7622821.6331081.425034e-08
0.7661911.6329961.409432e-08
0.770121.6328841.393749e-08
0.774071.6327741.377987e-08
0.778041.6326641.362143e-08
0.782031.6325541.346218e-08
0.7860411.6324451.330212e-08
0.7900721.6323371.314123e-08
0.7941241.6322291.297952e-08
0.7981961.6321221.281698e-08
0.81.6320751.274500e-08
0.802291.6320161.278150e-08
0.8064051.631911.284709e-08
0.810541.6318041.291301e-08
0.8146971.6316991.297927e-08
0.8188751.6315941.304587e-08
0.8230751.631491.311281e-08
0.8272961.6313871.318010e-08
0.8315391.6312841.324773e-08
0.8358031.6311811.331571e-08
0.840091.6310791.338403e-08
0.8443981.6309771.345271e-08
0.8487291.6308761.352174e-08
0.851.6308461.354200e-08
0.8530821.6307751.359106e-08
0.8574571.6306741.366071e-08
0.8618541.6305741.373072e-08
0.8662741.6304741.380108e-08
0.8707171.6303751.387181e-08
0.8751821.6302761.394290e-08
0.8796711.6301771.401436e-08
0.8841821.6300781.408618e-08
0.8887171.629981.415837e-08
0.8932741.6298821.423093e-08
0.8978561.6297851.430386e-08
0.91.6297391.433800e-08
0.902461.6296881.437722e-08
0.9070881.6295911.445099e-08
0.9117411.6294941.452514e-08
0.9164161.6293971.459968e-08
0.9211161.6293011.467459e-08
0.925841.6292051.474989e-08
0.9305881.6291091.482558e-08
0.9353611.6290141.490165e-08
0.9401581.6289181.497812e-08
0.944981.6288231.505497e-08
0.9498261.6287281.513222e-08
0.951.6287251.513500e-08
0.9546971.6286331.520978e-08
0.9595931.6285381.528772e-08
0.9645151.6284441.536607e-08
0.9694611.6283491.544482e-08
0.9744331.6282551.552397e-08
0.979431.628161.560353e-08
0.9844531.6280661.568350e-08
0.9895021.6279721.576387e-08
0.9945771.6278781.584466e-08
0.9996781.6277841.592587e-08
11.6277781.593100e-08
1.00481.627691.600755e-08
1.009961.6275971.608966e-08
1.015141.6275031.617219e-08
1.020341.6274091.625514e-08
1.025581.6273151.633851e-08
1.030841.6272211.642232e-08
1.036121.6271281.650655e-08
1.041441.6270341.659122e-08
1.046781.626941.667632e-08
1.052151.6268461.676185e-08
1.057541.6267521.684783e-08
1.061.6267091.688700e-08
1.062971.6266581.693425e-08
1.068421.6265641.702113e-08
1.07391.626471.710844e-08
1.07941.6263761.719621e-08
1.084941.6262811.728443e-08
1.09051.6261871.737309e-08
1.09611.6260921.746222e-08
1.101721.6259971.755180e-08
1.107371.6259031.764184e-08
1.113051.6258071.773234e-08
1.118761.6257121.782330e-08
1.124491.6256171.791474e-08
1.130261.6255211.800664e-08
1.136061.6254251.809901e-08
1.141881.625331.819185e-08
1.147741.6252331.828518e-08
1.153621.6251371.837898e-08
1.159541.625041.847326e-08
1.165491.6249431.856802e-08
1.171471.6248461.866328e-08
1.177471.6247481.875902e-08
1.183511.6246511.885525e-08
1.189581.6245531.895197e-08
1.195681.6244541.904919e-08
1.21.6243851.911800e-08
1.201811.6243551.934963e-08
1.207981.6242562.013655e-08
1.214171.6241572.092752e-08
1.22041.6240572.172254e-08
1.226661.6239572.252164e-08
1.232951.6238572.332483e-08
1.239271.6237562.413215e-08
1.245631.6236542.494360e-08
1.252021.6235532.575922e-08
1.258441.6234512.657902e-08
1.264891.6233482.740302e-08
1.271381.6232452.823125e-08
1.27791.6231412.906373e-08
1.284451.6230382.990047e-08
1.291041.6229333.074151e-08
1.297661.6228283.158686e-08
1.304321.6227233.243655e-08
1.311011.6226173.329059e-08
1.317731.622513.414902e-08
1.324491.6224033.501184e-08
1.331281.6222963.587910e-08
1.338111.6221873.675080e-08
1.344971.6220793.762697e-08
1.351871.6219693.850763e-08
1.35881.6218593.939281e-08
1.365771.6217494.028253e-08
1.372771.6216374.117681e-08
1.379811.6215264.207568e-08
1.386891.6214134.297916e-08
1.3941.62134.388727e-08
1.41.6212044.465300e-08
1.401151.6211864.505872e-08
1.408341.6210714.759018e-08
1.415561.6209565.013462e-08
1.422821.620845.269211e-08
1.430121.6207235.526272e-08
1.437451.6206065.784651e-08
1.444821.6204876.044355e-08
1.452231.6203686.305391e-08
1.459681.6202486.567766e-08
1.467171.6201286.831486e-08
1.474691.6200067.096559e-08
1.482251.6198847.362991e-08
1.489861.6197617.630790e-08
1.49751.6196377.899962e-08
1.505181.6195128.170515e-08
1.51291.6193868.442455e-08
1.520651.6192598.715790e-08
1.528451.6191318.990526e-08
1.536291.6190039.266672e-08
1.544171.6188739.544234e-08
1.552091.6187429.823219e-08
1.560051.6186111.010363e-07
1.568051.6184781.038549e-07
1.576091.6183441.066879e-07
1.584181.618211.095354e-07
1.59231.6180741.123975e-07
1.61.6179451.151100e-07
1.600471.6179371.155165e-07
1.608671.6177991.226686e-07
1.616921.617661.298573e-07
1.625221.617521.370829e-07
1.633551.6173791.443456e-07
1.641931.6172371.516455e-07
1.650351.6170931.589828e-07
1.658811.6169481.663578e-07
1.667321.6168021.737706e-07
1.675871.6166551.812214e-07
1.684471.6165061.887104e-07
1.693111.6163571.962378e-07
1.701791.6162052.038039e-07
1.710521.6160532.114087e-07
1.719291.6158992.190526e-07
1.728111.6157442.267356e-07
1.736971.6155882.344580e-07
1.745881.615432.422201e-07
1.754831.6152712.500220e-07
1.763831.615112.578638e-07
1.772881.6149482.657459e-07
1.781971.6147852.736684e-07
1.791111.614622.816316e-07
1.81.6144592.893800e-07
1.800291.6144532.901282e-07
1.809531.6142853.136825e-07
1.818811.6141163.373576e-07
1.828131.6139443.611542e-07
1.837511.6137723.850728e-07
1.846931.6135974.091140e-07
1.856411.6134214.332786e-07
1.865931.6132444.575671e-07
1.87551.6130644.819801e-07
1.885111.6128835.065184e-07
1.894781.61275.311825e-07
1.90451.6125165.559731e-07
1.914271.6123295.808908e-07
1.924081.6121416.059363e-07
1.933951.6119516.311103e-07
1.943871.6117596.564134e-07
1.953841.6115656.818462e-07
1.963861.611377.074095e-07
1.973931.6111727.331039e-07
1.984051.6109737.589300e-07
1.994231.6107717.848886e-07
21.6106567.996100e-07
2.004461.6105678.488857e-07
2.014741.6103629.625396e-07
2.025071.6101541.076776e-06
2.035461.6099441.191599e-06
2.045891.6097321.307011e-06
2.056391.6095181.423014e-06
2.066931.6093021.539612e-06
2.077531.6090841.656809e-06
2.088191.6088631.774606e-06
2.09891.608641.893008e-06
2.109661.6084142.012016e-06
2.120481.6081872.131635e-06
2.131361.6079572.251868e-06
2.142291.6077242.372717e-06
2.153271.6074892.494186e-06
2.164321.6072522.616278e-06
2.175421.6070122.738996e-06
2.186571.606772.862343e-06
2.197791.6065252.986323e-06
2.21.6064763.010800e-06
2.209061.6062773.345619e-06
2.220391.6060273.764414e-06
2.231771.6057744.185356e-06
2.243221.6055184.608457e-06
2.254721.605265.033728e-06
2.266291.6049985.461181e-06
2.277911.6047345.890825e-06
2.289591.6044676.322673e-06
2.301331.6041976.756735e-06
2.313141.6039257.193024e-06
2.3251.6036497.631550e-06

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
—