Optical constants

Refractive index of H-LAK51A (CDGM)

H-LAK51A: 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
1.6968
Extinction coefficient k
2.34385e-08
Permittivity ε1
2.87912
Permittivity ε2
7.95407e-08
Absorption coefficient α
0.00501254 cm⁻¹
Penetration depth δ = λ/(2πk)
3.98999e+09 nm
Abbe number Vd
55.526
Chromatic dispersion dn/dλ
-0.0648077 µm⁻¹
Group index ng
1.73488
Group velocity dispersion
113.106 fs²/mm
Dispersion parameter D
-617.052 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-LAK51A (CDGM): H-LAK51A
cdgm_h_lak51a = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-LAK51A", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_lak51a.range_nm)  # (302, 2325) nm
eps = cdgm_h_lak51a.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=0.639398694λ2λ2−5.67124825×10-5+1.18748481λ2λ2−0.0158001968+1.26545352λ2λ2−91.097053

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.639398694
C35.67124825e-05
C41.18748481
C50.0158001968
C61.26545352
C791.097053

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 8.08e-08 1.25e-08 -7.7e-12 4.99e-07 6.1e-10 0.161
nd
1.696800
Vd
55.526357
glass code
697555
glass status
standard
density
value: 3560
thermal expansion
value: 6.3e-06, temperature range: 243 343; value: 8.1e-06, temperature range: 293 573
dPgF
-0.007
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 7.79e-07 K⁻¹ at 633 nm, dn/dT = 2.03e-07 K⁻¹ at 1310 nm, dn/dT = 1.56e-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-LAK51A (CDGM), H-LAK51A: n and k versus wavelength
λ (µm)nk
0.3021.7535222.646640e-06
0.3035491.7526452.542901e-06
0.3051061.7517812.438629e-06
0.306671.7509282.333823e-06
0.3082431.7500872.228479e-06
0.3098241.7492572.122595e-06
0.311.7491662.110800e-06
0.3114131.7484392.025705e-06
0.313011.7476311.929513e-06
0.3146151.7468351.832827e-06
0.3162291.7460491.735645e-06
0.317851.7452741.637965e-06
0.3194811.7445091.539784e-06
0.321.7442681.508500e-06
0.3211191.7437541.455200e-06
0.3227661.7430091.376759e-06
0.3244211.7422751.297917e-06
0.3260851.741551.218670e-06
0.3277571.7408341.139017e-06
0.3294381.7401281.058955e-06
0.331.7398951.032200e-06
0.3311281.7394319.916051e-07
0.3328261.7387439.304786e-07
0.3345331.7380648.690386e-07
0.3362491.7373948.072835e-07
0.3379731.7367327.452117e-07
0.3397061.7360796.828216e-07
0.341.735976.722500e-07
0.3414481.7354356.352541e-07
0.34321.7347985.905286e-07
0.344961.734175.455738e-07
0.3467291.733555.003884e-07
0.3485071.7329374.549713e-07
0.351.7324324.168400e-07
0.3502941.7323334.122450e-07
0.3520911.7317363.842036e-07
0.3538971.7311463.560184e-07
0.3557121.7305643.276886e-07
0.3575361.729992.992136e-07
0.3593691.7294222.705925e-07
0.361.7292292.607500e-07
0.3612121.7288612.493298e-07
0.3630651.7283082.318812e-07
0.3649271.7277612.143432e-07
0.3667981.7272211.967152e-07
0.368681.7266881.789968e-07
0.371.7263191.665600e-07
0.370571.7261611.630259e-07
0.3724711.7256411.512506e-07
0.3743811.7251271.394148e-07
0.3763011.7246191.275184e-07
0.3782311.7241181.155609e-07
0.381.7236661.046000e-07
0.3801711.7236231.041557e-07
0.382121.7231339.908135e-08
0.384081.722659.398100e-08
0.386051.7221728.885450e-08
0.388031.72178.370171e-08
0.391.7212387.857400e-08
0.390021.7212347.854577e-08
0.392021.7207737.569205e-08
0.394031.7203187.282370e-08
0.3960511.7198686.994063e-08
0.3980821.7194246.704278e-08
0.41.7190116.430700e-08
0.4001241.7189846.422148e-08
0.4021761.718556.280628e-08
0.4042391.7181216.138384e-08
0.4063121.7176985.995409e-08
0.4083961.7172795.851702e-08
0.410491.7168655.707257e-08
0.4125951.7164555.562072e-08
0.4147111.7160515.416142e-08
0.4168381.7156515.269463e-08
0.4189761.7152565.122033e-08
0.421.7150695.051400e-08
0.4211251.7148655.024990e-08
0.4232841.7144794.974268e-08
0.4254551.7140984.923287e-08
0.4276371.713724.872044e-08
0.429831.7133474.820538e-08
0.4320351.7129794.768768e-08
0.434251.7126144.716732e-08
0.4364771.7122544.664429e-08
0.4387161.7118974.611859e-08
0.441.7116964.581700e-08
0.4409661.7115454.538109e-08
0.4432271.7111974.436036e-08
0.44551.7108524.333440e-08
0.4477851.7105124.230317e-08
0.4500821.7101754.126666e-08
0.452391.7098424.022483e-08
0.454711.7095133.917766e-08
0.4570421.7091873.812512e-08
0.4593861.7088653.706718e-08
0.461.7087813.679000e-08
0.4617421.7085463.558786e-08
0.464111.7082313.395355e-08
0.466491.707923.231086e-08
0.4688831.7076123.065974e-08
0.4712871.7073072.900016e-08
0.4737041.7070052.733206e-08
0.4761341.7067072.565541e-08
0.4785751.7064122.397016e-08
0.481.7062422.298700e-08
0.481031.706122.303633e-08
0.4834971.7058322.315450e-08
0.4859761.7055462.327327e-08
0.4884691.7052642.339265e-08
0.4909741.7049842.351265e-08
0.4934921.7047082.363326e-08
0.4960231.7044342.375449e-08
0.4985671.7041632.387634e-08
0.51.7040132.394500e-08
0.5011231.7038962.389993e-08
0.5036931.7036312.379682e-08
0.5062771.7033682.369318e-08
0.5088731.7031092.358901e-08
0.5114831.7028522.348431e-08
0.5141061.7025982.337906e-08
0.5167431.7023472.327328e-08
0.5193931.7020982.316696e-08
0.5220561.7018512.306009e-08
0.5247341.7016082.295268e-08
0.5274251.7013662.284471e-08
0.530131.7011282.273619e-08
0.5328491.7008912.262711e-08
0.5355811.7006572.251747e-08
0.5383281.7004262.240728e-08
0.5410891.7001962.229651e-08
0.5438641.6999692.218518e-08
0.5466531.6997452.207328e-08
0.5494571.6995222.196080e-08
0.551.6994792.193900e-08
0.5522751.6993022.202971e-08
0.5551071.6990842.214266e-08
0.5579541.6988682.225620e-08
0.5608151.6986542.237031e-08
0.5636911.6984422.248501e-08
0.5665821.6982332.260030e-08
0.5694881.6980252.271618e-08
0.5724091.697822.283266e-08
0.5753441.6976162.294973e-08
0.5782951.6974142.306740e-08
0.5812611.6972152.318568e-08
0.5842421.6970172.330456e-08
0.5872381.6968212.342405e-08
0.590251.6966272.354416e-08
0.5932771.6964342.366488e-08
0.5963191.6962442.378622e-08
0.5993781.6960552.390818e-08
0.61.6960172.393300e-08
0.6024521.6958682.403082e-08
0.6055411.6956832.415410e-08
0.6086471.6954992.427801e-08
0.6117681.6953182.440255e-08
0.6149061.6951372.452774e-08
0.6180591.6949592.465356e-08
0.6212291.6947822.478004e-08
0.6244151.6946072.490716e-08
0.6276171.6944332.503493e-08
0.6308361.6942612.516336e-08
0.6340711.694092.529244e-08
0.6373231.6939212.542219e-08
0.6405921.6937532.555261e-08
0.6438771.6935872.568369e-08
0.6471791.6934222.581544e-08
0.651.6932832.592800e-08
0.6504981.6932582.605952e-08
0.6538341.6930962.694038e-08
0.6571871.6929362.782576e-08
0.6605581.6927762.871568e-08
0.6639451.6926182.961017e-08
0.6673511.6924623.050924e-08
0.6707731.6923063.141292e-08
0.6742131.6921523.232123e-08
0.6776711.6919993.323421e-08
0.6811461.6918483.415187e-08
0.684641.6916983.507423e-08
0.6881511.6915483.600132e-08
0.691681.69143.693317e-08
0.6952271.6912543.786980e-08
0.6987931.6911083.881123e-08
0.71.6910593.913000e-08
0.7023761.6909633.926284e-08
0.7059791.690823.946420e-08
0.7095991.6906783.966660e-08
0.7132381.6905363.987003e-08
0.7168961.6903964.007450e-08
0.7205731.6902574.028003e-08
0.7242681.6901194.048660e-08
0.7279831.6899824.069424e-08
0.7317161.6898464.090294e-08
0.7354691.6897114.111271e-08
0.7392411.6895764.132356e-08
0.7430321.6894434.153549e-08
0.7468431.6893114.174850e-08
0.7506731.689184.196261e-08
0.7545231.6890494.217782e-08
0.7583921.6889194.239412e-08
0.7622821.6887914.261154e-08
0.7661911.6886634.283008e-08
0.770121.6885364.304973e-08
0.774071.688414.327051e-08
0.778041.6882844.349243e-08
0.782031.688164.371548e-08
0.7860411.6880364.393967e-08
0.7900721.6879134.416502e-08
0.7941241.687794.439152e-08
0.7981961.6876694.461918e-08
0.81.6876154.472000e-08
0.802291.6875484.329202e-08
0.8064051.6874284.072635e-08
0.810541.6873083.814752e-08
0.8146971.6871893.555546e-08
0.8188751.6870713.295011e-08
0.8230751.6869543.033140e-08
0.8272961.6868372.769926e-08
0.8315391.6867212.505362e-08
0.8358031.6866052.239441e-08
0.840091.686491.972156e-08
0.8443981.6863761.703501e-08
0.8487291.6862621.433467e-08
0.851.6862281.354200e-08
0.8530821.6861481.359106e-08
0.8574571.6860361.366071e-08
0.8618541.6859231.373072e-08
0.8662741.6858121.380108e-08
0.8707171.68571.387181e-08
0.8751821.685591.394290e-08
0.8796711.6854791.401436e-08
0.8841821.685371.408618e-08
0.8887171.685261.415837e-08
0.8932741.6851511.423093e-08
0.8978561.6850431.430386e-08
0.91.6849931.433800e-08
0.902461.6849351.437722e-08
0.9070881.6848271.445099e-08
0.9117411.684721.452514e-08
0.9164161.6846131.459968e-08
0.9211161.6845071.467459e-08
0.925841.6844011.474989e-08
0.9305881.6842951.482558e-08
0.9353611.6841891.490165e-08
0.9401581.6840841.497812e-08
0.944981.6839791.505497e-08
0.9498261.6838751.513222e-08
0.951.6838711.513500e-08
0.9546971.683771.520978e-08
0.9595931.6836661.528772e-08
0.9645151.6835631.536607e-08
0.9694611.6834591.544482e-08
0.9744331.6833561.552397e-08
0.979431.6832531.560353e-08
0.9844531.683151.568350e-08
0.9895021.6830471.576387e-08
0.9945771.6829451.584466e-08
0.9996781.6828431.592587e-08
11.6828361.593100e-08
1.00481.6827411.600755e-08
1.009961.6826391.608966e-08
1.015141.6825371.617219e-08
1.020341.6824351.625514e-08
1.025581.6823341.633851e-08
1.030841.6822321.642232e-08
1.036121.6821311.650655e-08
1.041441.682031.659122e-08
1.046781.6819291.667632e-08
1.052151.6818271.676185e-08
1.057541.6817261.684783e-08
1.061.6816811.688700e-08
1.062971.6816251.693425e-08
1.068421.6815241.702113e-08
1.07391.6814231.710844e-08
1.07941.6813221.719621e-08
1.084941.6812211.728443e-08
1.09051.681121.737309e-08
1.09611.6810191.746222e-08
1.101721.6809181.755180e-08
1.107371.6808171.764184e-08
1.113051.6807161.773234e-08
1.118761.6806151.782330e-08
1.124491.6805131.791474e-08
1.130261.6804121.800664e-08
1.136061.680311.809901e-08
1.141881.6802091.819185e-08
1.147741.6801071.828518e-08
1.153621.6800051.837898e-08
1.159541.6799031.847326e-08
1.165491.6798011.856802e-08
1.171471.6796981.866328e-08
1.177471.6795961.875902e-08
1.183511.6794931.885525e-08
1.189581.679391.895197e-08
1.195681.6792861.904919e-08
1.21.6792141.911800e-08
1.201811.6791831.934963e-08
1.207981.6790792.013655e-08
1.214171.6789752.092752e-08
1.22041.6788712.172254e-08
1.226661.6787662.252164e-08
1.232951.6786612.332483e-08
1.239271.6785562.413215e-08
1.245631.6784512.494360e-08
1.252021.6783452.575922e-08
1.258441.6782392.657902e-08
1.264891.6781322.740302e-08
1.271381.6780252.823125e-08
1.27791.6779182.906373e-08
1.284451.677812.990047e-08
1.291041.6777023.074151e-08
1.297661.6775943.158686e-08
1.304321.6774853.243655e-08
1.311011.6773753.329059e-08
1.317731.6772653.414902e-08
1.324491.6771553.501184e-08
1.331281.6770443.587910e-08
1.338111.6769333.675080e-08
1.344971.6768213.762697e-08
1.351871.6767093.850763e-08
1.35881.6765963.939281e-08
1.365771.6764834.028253e-08
1.372771.6763694.117681e-08
1.379811.6762544.207568e-08
1.386891.6761394.297916e-08
1.3941.6760234.388727e-08
1.41.6759264.465300e-08
1.401151.6759074.476338e-08
1.408341.675794.545211e-08
1.415561.6756724.614437e-08
1.422821.6755544.684017e-08
1.430121.6754354.753955e-08
1.437451.6753164.824251e-08
1.444821.6751954.894908e-08
1.452231.6750744.965927e-08
1.459681.6749525.037311e-08
1.467171.674835.109060e-08
1.474691.6747075.181178e-08
1.482251.6745835.253665e-08
1.489861.6744585.326524e-08
1.49751.6743325.399757e-08
1.505181.6742065.473365e-08
1.51291.6740795.547351e-08
1.520651.673955.621716e-08
1.528451.6738225.696463e-08
1.536291.6736925.771593e-08
1.544171.6735615.847108e-08
1.552091.6734295.923011e-08
1.560051.6732975.999303e-08
1.568051.6731636.075986e-08
1.576091.6730296.153062e-08
1.584181.6728936.230534e-08
1.59231.6727576.308403e-08
1.61.6726276.382200e-08
1.600471.672626.411033e-08
1.608671.6724816.918321e-08
1.616921.6723427.428211e-08
1.625221.6722017.940716e-08
1.633551.6720598.455849e-08
1.641931.6719178.973624e-08
1.650351.6717739.494055e-08
1.658811.6716281.001715e-07
1.667321.6714821.054294e-07
1.675871.6713351.107142e-07
1.684471.6711861.160260e-07
1.693111.6710371.213652e-07
1.701791.6708861.267317e-07
1.710521.6707341.321257e-07
1.719291.670581.375474e-07
1.728111.6704261.429969e-07
1.736971.670271.484744e-07
1.745881.6701121.539799e-07
1.754831.6699541.595137e-07
1.763831.6697941.650759e-07
1.772881.6696331.706666e-07
1.781971.669471.762859e-07
1.791111.6693061.819341e-07
1.81.6691451.874300e-07
1.800291.669141.880350e-07
1.809531.6689732.070828e-07
1.818811.6688052.262283e-07
1.828131.6686352.454720e-07
1.837511.6684632.648143e-07
1.846931.668292.842559e-07
1.856411.6681153.037971e-07
1.865931.6679393.234386e-07
1.87551.6677613.431808e-07
1.885111.6675823.630243e-07
1.894781.66743.829695e-07
1.90451.6672184.030170e-07
1.914271.6670334.231674e-07
1.924081.6668474.434210e-07
1.933951.6666594.637786e-07
1.943871.6664694.842405e-07
1.953841.6662775.048074e-07
1.963861.6660845.254798e-07
1.973931.6658885.462582e-07
1.984051.6656915.671431e-07
1.994231.6654925.881352e-07
21.6653786.000400e-07
2.004461.6652916.312577e-07
2.014741.6650877.032611e-07
2.025071.6648827.756338e-07
2.035461.6646758.483777e-07
2.045891.6644669.214946e-07
2.056391.6642559.949865e-07
2.066931.6640411.068855e-06
2.077531.6638261.143103e-06
2.088191.6636081.217731e-06
2.09891.6633881.292743e-06
2.109661.6631661.368138e-06
2.120481.6629421.443921e-06
2.131361.6627151.520092e-06
2.142291.6624861.596654e-06
2.153271.6622541.673608e-06
2.164321.6620211.750958e-06
2.175421.6617841.828703e-06
2.186571.6615461.906848e-06
2.197791.6613051.985393e-06
2.21.6612572.000900e-06
2.209061.6610612.305802e-06
2.220391.6608142.687176e-06
2.231771.6605663.070507e-06
2.243221.6603143.455803e-06
2.254721.660063.843075e-06
2.266291.6598034.232333e-06
2.277911.6595434.623588e-06
2.289591.6592815.016849e-06
2.301331.6590155.412127e-06
2.313141.6587475.809432e-06
2.3251.6584766.208775e-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
—