Optical constants

Refractive index of H-LAF53 (CDGM)

H-LAF53: 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
1.7433
Extinction coefficient k
3.28468e-08
Permittivity ε1
3.03908
Permittivity ε2
1.14524e-07
Absorption coefficient α
0.0070246 cm⁻¹
Penetration depth δ = λ/(2πk)
2.84714e+09 nm
Abbe number Vd
49.222
Chromatic dispersion dn/dλ
-0.0776487 µm⁻¹
Group index ng
1.78892
Group velocity dispersion
139.895 fs²/mm
Dispersion parameter D
-763.203 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-LAF53 (CDGM): H-LAF53
cdgm_h_laf53 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-LAF53", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_laf53.range_nm)  # (302, 2325) nm
eps = cdgm_h_laf53.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=1.52005515λ2λ2−0.00746606502+1.09140777λ2λ2−81.9422153+0.452588708λ2λ2−0.0263954349

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C21.52005515
C30.00746606502
C41.09140777
C581.9422153
C60.452588708
C70.0263954349

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 8.12e-06 1.8e-08 -3.55e-11 6.59e-07 7e-10 0.185
nd
1.743300
Vd
49.221808
glass code
743492
density
value: 4160
thermal expansion
value: 5.5e-06, temperature range: 243 343; value: 7.3e-06, temperature range: 293 573
dPgF
-0.009
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 5.78e-06 K⁻¹ at 633 nm, dn/dT = 4.85e-06 K⁻¹ at 1310 nm, dn/dT = 4.77e-06 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-LAF53 (CDGM), H-LAF53: n and k versus wavelength
λ (µm)nk
0.3021.8141911.018328e-05
0.3035491.8130489.555454e-06
0.3051061.8119248.924408e-06
0.306671.8108168.290125e-06
0.3082431.8097257.652590e-06
0.3098241.808657.011785e-06
0.311.8085326.940400e-06
0.3114131.8075926.597350e-06
0.313011.8065496.209561e-06
0.3146151.8055225.819784e-06
0.3162291.804515.428008e-06
0.317851.8035135.034223e-06
0.3194811.802534.638418e-06
0.321.8022214.512300e-06
0.3211191.8015624.342193e-06
0.3227661.8006074.091853e-06
0.3244211.7996673.840230e-06
0.3260851.798743.587316e-06
0.3277571.7978263.333104e-06
0.3294381.7969253.077589e-06
0.331.7966282.992200e-06
0.3311281.7960372.866248e-06
0.3328261.7951612.676594e-06
0.3345331.7942972.485967e-06
0.3362491.7934462.294362e-06
0.3379731.7926072.101775e-06
0.3397061.7917791.908200e-06
0.341.791641.875400e-06
0.3414481.7909621.777540e-06
0.34321.7901571.659234e-06
0.344961.7893631.540321e-06
0.3467291.7885791.420799e-06
0.3485071.7878061.300663e-06
0.351.7871681.199800e-06
0.3502941.7870441.185434e-06
0.3520911.7862921.097763e-06
0.3538971.785551.009643e-06
0.3557121.7848189.210713e-07
0.3575361.7840958.320450e-07
0.3593691.7833827.425621e-07
0.361.783147.117900e-07
0.3612121.7826796.793310e-07
0.3630651.7819856.297382e-07
0.3649271.78135.798910e-07
0.3667981.7806245.297882e-07
0.368681.7799574.794284e-07
0.371.7794964.440800e-07
0.370571.7792984.350172e-07
0.3724711.7786484.048206e-07
0.3743811.7780063.744690e-07
0.3763011.7773733.439618e-07
0.3782311.7767483.132982e-07
0.381.7761842.851900e-07
0.3801711.7761312.835995e-07
0.382121.7755212.654360e-07
0.384081.7749192.471793e-07
0.386051.7743252.288290e-07
0.388031.7737392.103846e-07
0.391.7731651.920300e-07
0.390021.7731591.919334e-07
0.392021.7725871.821723e-07
0.394031.7720231.723612e-07
0.3960511.7714651.624997e-07
0.3980821.7709141.525877e-07
0.41.7704031.432300e-07
0.4001241.770371.429731e-07
0.4021761.7698331.387223e-07
0.4042391.7693021.344497e-07
0.4063121.7687781.301552e-07
0.4083961.768261.258386e-07
0.410491.7677481.215000e-07
0.4125951.7672431.171390e-07
0.4147111.7667441.127557e-07
0.4168381.7662511.083500e-07
0.4189761.7657641.039216e-07
0.421.7655331.018000e-07
0.4211251.7652821.006571e-07
0.4232841.7648079.846201e-08
0.4254551.7643379.625570e-08
0.4276371.7638739.403807e-08
0.429831.7634149.180907e-08
0.4320351.7629618.956864e-08
0.434251.7625138.731672e-08
0.4364771.762078.505324e-08
0.4387161.7616338.277816e-08
0.441.7613858.147300e-08
0.4409661.76128.038986e-08
0.4432271.7607737.785359e-08
0.44551.7603517.530431e-08
0.4477851.7599347.274196e-08
0.4500821.7595217.016646e-08
0.452391.7591136.757776e-08
0.454711.758716.497578e-08
0.4570421.7583126.236046e-08
0.4593861.7579185.973172e-08
0.461.7578165.904300e-08
0.4617421.7575295.825385e-08
0.464111.7571445.718101e-08
0.466491.7567635.610266e-08
0.4688831.7563875.501878e-08
0.4712871.7560155.392934e-08
0.4737041.7556475.283432e-08
0.4761341.7552845.173368e-08
0.4785751.7549245.062740e-08
0.481.7547174.998200e-08
0.481031.7545694.946745e-08
0.4834971.7542174.823483e-08
0.4859761.7538694.699589e-08
0.4884691.7535264.575059e-08
0.4909741.7531864.449891e-08
0.4934921.752854.324081e-08
0.4960231.7525174.197625e-08
0.4985671.7521884.070521e-08
0.51.7520053.998900e-08
0.5011231.7518633.978129e-08
0.5036931.7515413.930615e-08
0.5062771.7512233.882856e-08
0.5088731.7509083.834853e-08
0.5114831.7505973.786604e-08
0.5141061.7502893.738107e-08
0.5167431.7499853.689362e-08
0.5193931.7496833.640366e-08
0.5220561.7493853.591120e-08
0.5247341.749093.541620e-08
0.5274251.7487983.491867e-08
0.530131.748513.441859e-08
0.5328491.7482243.391594e-08
0.5355811.7479413.341071e-08
0.5383281.7476623.290290e-08
0.5410891.7473853.239248e-08
0.5438641.7471113.187944e-08
0.5466531.746843.136377e-08
0.5494571.7465723.084545e-08
0.551.746523.074500e-08
0.5522751.7463063.087215e-08
0.5551071.7460443.103048e-08
0.5579541.7457843.118962e-08
0.5608151.7455273.134957e-08
0.5636911.7452723.151035e-08
0.5665821.745023.167195e-08
0.5694881.744773.183438e-08
0.5724091.7445233.199764e-08
0.5753441.7442793.216174e-08
0.5782951.7440373.232669e-08
0.5812611.7437973.249247e-08
0.5842421.743563.265911e-08
0.5872381.7433253.282661e-08
0.590251.7430933.299496e-08
0.5932771.7428623.316417e-08
0.5963191.7426343.333426e-08
0.5993781.7424093.350521e-08
0.61.7423633.354000e-08
0.6024521.7421853.367704e-08
0.6055411.7419643.384976e-08
0.6086471.7417453.402335e-08
0.6117681.7415283.419784e-08
0.6149061.7413133.437323e-08
0.6180591.74113.454951e-08
0.6212291.7408893.472670e-08
0.6244151.740683.490480e-08
0.6276171.7404733.508381e-08
0.6308361.7402683.526373e-08
0.6340711.7400653.544458e-08
0.6373231.7398643.562636e-08
0.6405921.7396643.580907e-08
0.6438771.7394673.599272e-08
0.6471791.7392713.617731e-08
0.651.7391063.633500e-08
0.6504981.7390773.630699e-08
0.6538341.7388853.611936e-08
0.6571871.7386953.593078e-08
0.6605581.7385063.574123e-08
0.6639451.738323.555071e-08
0.6673511.7381343.535921e-08
0.6707731.7379513.516672e-08
0.6742131.7377693.497325e-08
0.6776711.7375883.477879e-08
0.6811461.7374093.458333e-08
0.684641.7372323.438687e-08
0.6881511.7370563.418940e-08
0.691681.7368823.399092e-08
0.6952271.736713.379142e-08
0.6987931.7365383.359090e-08
0.71.7364813.352300e-08
0.7023761.7363683.348469e-08
0.7059791.73623.342662e-08
0.7095991.7360333.336826e-08
0.7132381.7358673.330960e-08
0.7168961.7357033.325063e-08
0.7205731.735543.319136e-08
0.7242681.7353793.313179e-08
0.7279831.7352193.307192e-08
0.7317161.735063.301173e-08
0.7354691.7349023.295124e-08
0.7392411.7347453.289044e-08
0.7430321.734593.282932e-08
0.7468431.7344363.276790e-08
0.7506731.7342833.270615e-08
0.7545231.7341313.264410e-08
0.7583921.7339813.258172e-08
0.7622821.7338313.251902e-08
0.7661911.7336833.245600e-08
0.770121.7335363.239266e-08
0.774071.733393.232899e-08
0.778041.7332453.226500e-08
0.782031.7331013.220068e-08
0.7860411.7329583.213602e-08
0.7900721.7328163.207104e-08
0.7941241.7326753.200572e-08
0.7981961.7325353.194007e-08
0.81.7324733.191100e-08
0.802291.7323963.169116e-08
0.8064051.7322573.129616e-08
0.810541.732123.089914e-08
0.8146971.7319843.050008e-08
0.8188751.7318493.009897e-08
0.8230751.7317142.969581e-08
0.8272961.731582.929058e-08
0.8315391.7314482.888327e-08
0.8358031.7313162.847387e-08
0.840091.7311842.806237e-08
0.8443981.7310542.764876e-08
0.8487291.7309242.723304e-08
0.851.7308872.711100e-08
0.8530821.7307962.676630e-08
0.8574571.7306672.627691e-08
0.8618541.730542.578501e-08
0.8662741.7304142.529058e-08
0.8707171.7302882.479362e-08
0.8751821.7301622.429411e-08
0.8796711.7300382.379204e-08
0.8841821.7299142.328740e-08
0.8887171.7297912.278016e-08
0.8932741.7296682.227033e-08
0.8978561.7295462.175788e-08
0.91.729492.151800e-08
0.902461.7294252.120393e-08
0.9070881.7293042.061308e-08
0.9117411.7291842.001921e-08
0.9164161.7290641.942228e-08
0.9211161.7289451.882230e-08
0.925841.7288271.821924e-08
0.9305881.7287091.761309e-08
0.9353611.7285911.700382e-08
0.9401581.7284741.639144e-08
0.944981.7283581.577591e-08
0.9498261.7282421.515723e-08
0.951.7282371.513500e-08
0.9546971.7281261.520978e-08
0.9595931.7280111.528772e-08
0.9645151.7278961.536607e-08
0.9694611.7277821.544482e-08
0.9744331.7276681.552397e-08
0.979431.7275551.560353e-08
0.9844531.7274411.568350e-08
0.9895021.7273291.576387e-08
0.9945771.7272161.584466e-08
0.9996781.7271041.592587e-08
11.7270971.593100e-08
1.00481.7269921.600755e-08
1.009961.7268811.608966e-08
1.015141.726771.617219e-08
1.020341.7266591.625514e-08
1.025581.7265481.633851e-08
1.030841.7264381.642232e-08
1.036121.7263281.650655e-08
1.041441.7262181.659122e-08
1.046781.7261091.667632e-08
1.052151.7259991.676185e-08
1.057541.725891.684783e-08
1.061.7258411.688700e-08
1.062971.7257811.713701e-08
1.068421.7256721.759665e-08
1.07391.7255641.805864e-08
1.07941.7254551.852300e-08
1.084941.7253471.898974e-08
1.09051.7252391.945888e-08
1.09611.7251311.993042e-08
1.101721.7250232.040438e-08
1.107371.7249152.088077e-08
1.113051.7248072.135960e-08
1.118761.7246992.184089e-08
1.124491.7245912.232465e-08
1.130261.7244842.281089e-08
1.136061.7243762.329962e-08
1.141881.7242682.379086e-08
1.147741.7241612.428462e-08
1.153621.7240532.478091e-08
1.159541.7239452.527974e-08
1.165491.7238382.578114e-08
1.171471.723732.628510e-08
1.177471.7236222.679165e-08
1.183511.7235142.730080e-08
1.189581.7234062.781256e-08
1.195681.7232982.832694e-08
1.21.7232222.869100e-08
1.201811.723192.883579e-08
1.207981.7230822.932770e-08
1.214171.7229732.982213e-08
1.22041.7228653.031910e-08
1.226661.7227563.081862e-08
1.232951.7226473.132070e-08
1.239271.7225383.182536e-08
1.245631.7224293.233260e-08
1.252021.7223193.284244e-08
1.258441.722213.335490e-08
1.264891.72213.386999e-08
1.271381.721993.438772e-08
1.27791.7218793.490810e-08
1.284451.7217693.543115e-08
1.291041.7216583.595689e-08
1.297661.7215463.648532e-08
1.304321.7214353.701646e-08
1.311011.7213233.755033e-08
1.317731.7212113.808693e-08
1.324491.7210983.862629e-08
1.331281.7209853.916841e-08
1.338111.7208723.971331e-08
1.344971.7207584.026101e-08
1.351871.7206444.081151e-08
1.35881.7205294.136484e-08
1.365771.7204144.192101e-08
1.372771.7202994.248002e-08
1.379811.7201834.304191e-08
1.386891.7200674.360668e-08
1.3941.719954.417434e-08
1.41.7198514.465300e-08
1.401151.7198334.498478e-08
1.408341.7197154.705491e-08
1.415561.7195964.913565e-08
1.422821.7194785.122707e-08
1.430121.7193585.332921e-08
1.437451.7192385.544214e-08
1.444821.7191185.756590e-08
1.452231.7189965.970055e-08
1.459681.7188756.184615e-08
1.467171.7187526.400275e-08
1.474691.7186296.617042e-08
1.482251.7185056.834920e-08
1.489861.7183817.053915e-08
1.49751.7182567.274033e-08
1.505181.718137.495281e-08
1.51291.7180047.717663e-08
1.520651.7178777.941185e-08
1.528451.7177498.165854e-08
1.536291.717628.391675e-08
1.544171.717498.618655e-08
1.552091.717368.846798e-08
1.560051.7172299.076111e-08
1.568051.7170979.306601e-08
1.576091.7169649.538272e-08
1.584181.7168319.771132e-08
1.59231.7166961.000519e-07
1.61.7165691.022700e-07
1.600471.7165611.027406e-07
1.608671.7164251.110200e-07
1.616921.7162881.193419e-07
1.625221.7161491.277065e-07
1.633551.716011.361139e-07
1.641931.715871.445645e-07
1.650351.7157291.530584e-07
1.658811.7155871.615959e-07
1.667321.7154441.701772e-07
1.675871.71531.788025e-07
1.684471.7151551.874720e-07
1.693111.7150081.961859e-07
1.701791.7148612.049446e-07
1.710521.7147132.137482e-07
1.719291.7145632.225969e-07
1.728111.7144122.314910e-07
1.736971.714262.404308e-07
1.745881.7141072.494163e-07
1.754831.7139532.584480e-07
1.763831.7137972.675260e-07
1.772881.713642.766505e-07
1.781971.7134822.858218e-07
1.791111.7133232.950402e-07
1.81.7131673.040100e-07
1.800291.7131623.047122e-07
1.809531.7133.268193e-07
1.818811.7128363.490397e-07
1.828131.7126713.713742e-07
1.837511.7125053.938231e-07
1.846931.7123384.163872e-07
1.856411.7121684.390671e-07
1.865931.7119984.618632e-07
1.87551.7118264.847762e-07
1.885111.7116525.078068e-07
1.894781.7114775.309555e-07
1.90451.71135.542228e-07
1.914271.7111225.776096e-07
1.924081.7109426.011162e-07
1.933951.7107616.247434e-07
1.943871.7105786.484918e-07
1.953841.7103936.723620e-07
1.963861.7102066.963545e-07
1.973931.7100187.204702e-07
1.984051.7098287.447095e-07
1.994231.7096367.690731e-07
21.7095277.828900e-07
2.004461.7094428.148732e-07
2.014741.7092478.886422e-07
2.025071.7090499.627895e-07
2.035461.708851.037317e-06
2.045891.7086491.112227e-06
2.056391.7084461.187521e-06
2.066931.7082411.263201e-06
2.077531.7080341.339269e-06
2.088191.7078241.415728e-06
2.09891.7076131.492578e-06
2.109661.70741.569823e-06
2.120481.7071841.647463e-06
2.131361.7069671.725502e-06
2.142291.7067471.803942e-06
2.153271.7065251.882783e-06
2.164321.7063011.962029e-06
2.175421.7060742.041681e-06
2.186571.7058452.121742e-06
2.197791.7056142.202213e-06
2.21.7055682.218100e-06
2.209061.705382.503655e-06
2.220391.7051442.860830e-06
2.231771.7049063.219837e-06
2.243221.7046653.580686e-06
2.254721.7044213.943384e-06
2.266291.7041754.307943e-06
2.277911.7039264.674372e-06
2.289591.7036755.042680e-06
2.301331.7034215.412876e-06
2.313141.7031645.784971e-06
2.3251.7029046.158975e-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
—