Optical constants

Refractive index of D-LAF50-25 (CDGM)

D-LAF50-25: 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
1.77288
Extinction coefficient k
1.87414e-08
Permittivity ε1
3.14309
Permittivity ε2
6.64525e-08
Absorption coefficient α
0.00400803 cm⁻¹
Penetration depth δ = λ/(2πk)
4.98998e+09 nm
Abbe number Vd
49.519
Chromatic dispersion dn/dλ
-0.0801601 µm⁻¹
Group index ng
1.81998
Group velocity dispersion
146.137 fs²/mm
Dispersion parameter D
-797.254 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

# D-LAF50-25 (CDGM): D-LAF50-25
cdgm_d_laf50_25 = ls.fetch_refractiveindex("specs", "CDGM-optical", "D-LAF50-25", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_d_laf50_25.range_nm)  # (302, 2325) nm
eps = cdgm_d_laf50_25.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=0.734700246λ2λ2−0.022666746+1.33716574λ2λ2−0.006016769+1.13513348λ2λ2−95.7512696

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.734700246
C30.022666746
C41.33716574
C50.006016769
C61.13513348
C795.7512696

Comments and conditions

anneal rate:25°C/h

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 1.53e-06 1.43e-08 -3.83e-11 5.87e-07 4.1e-10 0.222
nd
1.772880
Vd
49.519338
glass code
773495
glass status
standard
density
value: 4930
thermal expansion
value: 7.3e-06, temperature range: 243 343; value: 8.9e-06, temperature range: 293 573
dPgF
-0.0066
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.93e-06 K⁻¹ at 633 nm, dn/dT = 1.11e-06 K⁻¹ at 1310 nm, dn/dT = 1.05e-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
D-LAF50-25 (CDGM), D-LAF50-25: n and k versus wavelength
λ (µm)nk
0.3021.8461335.884780e-06
0.3035491.8449635.701850e-06
0.3051061.843815.517982e-06
0.306671.8426745.333170e-06
0.3082431.8415555.147411e-06
0.3098241.8404524.960699e-06
0.311.8403314.939900e-06
0.3114131.8393664.638670e-06
0.313011.8382954.298155e-06
0.3146151.8372393.955894e-06
0.3162291.8361993.611878e-06
0.317851.8351733.266097e-06
0.3194811.8341632.918544e-06
0.321.8338452.807800e-06
0.3211191.8331662.698469e-06
0.3227661.8321842.537570e-06
0.3244211.8312152.375846e-06
0.3260851.8302612.213293e-06
0.3277571.8293192.049906e-06
0.3294381.8283911.885682e-06
0.331.8280841.830800e-06
0.3311281.8274751.753433e-06
0.3328261.8265721.636937e-06
0.3345331.8256821.519844e-06
0.3362491.8248031.402150e-06
0.3379731.8239371.283852e-06
0.3397061.8230831.164948e-06
0.341.8229391.144800e-06
0.3414481.822241.078182e-06
0.34321.8214089.976465e-07
0.344961.8205889.166975e-07
0.3467291.8197798.353334e-07
0.3485071.818987.535520e-07
0.351.8183216.848900e-07
0.3502941.8181926.765696e-07
0.3520911.8174156.257937e-07
0.3538971.8166485.747572e-07
0.3557121.8158915.234591e-07
0.3575361.8151444.718979e-07
0.3593691.8144074.200722e-07
0.361.8141574.022500e-07
0.3612121.8136793.813107e-07
0.3630651.8129613.493183e-07
0.3649271.8122533.171618e-07
0.3667981.8115532.848404e-07
0.368681.8108622.523533e-07
0.371.8103852.295500e-07
0.370571.8101812.243983e-07
0.3724711.8095082.072332e-07
0.3743811.8088431.899801e-07
0.3763011.8081871.726385e-07
0.3782311.807541.552079e-07
0.381.8069561.392300e-07
0.3801711.8069011.384669e-07
0.382121.8062691.297519e-07
0.384081.8056461.209921e-07
0.386051.8050311.121875e-07
0.388031.8044231.033377e-07
0.391.8038289.453100e-08
0.390021.8038239.447762e-08
0.392021.803238.908222e-08
0.394031.8026448.365915e-08
0.3960511.8020667.820827e-08
0.3980821.8014957.272943e-08
0.41.8009656.755700e-08
0.4001241.8009316.740928e-08
0.4021761.8003746.496499e-08
0.4042391.7998246.250817e-08
0.4063121.7992816.003874e-08
0.4083961.7987445.755665e-08
0.410491.7982145.506183e-08
0.4125951.797695.255422e-08
0.4147111.7971725.003375e-08
0.4168381.7966614.750034e-08
0.4189761.7961564.495395e-08
0.421.7959174.373400e-08
0.4211251.7956564.325359e-08
0.4232841.7951634.233095e-08
0.4254551.7946764.140358e-08
0.4276371.7941944.047145e-08
0.429831.7937193.953454e-08
0.4320351.7932493.859282e-08
0.434251.7927843.764628e-08
0.4364771.7923253.669488e-08
0.4387161.7918713.573860e-08
0.441.7916143.519000e-08
0.4409661.7914233.473241e-08
0.4432271.790983.366091e-08
0.44551.7905423.258392e-08
0.4477851.7901093.150140e-08
0.4500821.7896813.041333e-08
0.452391.7892582.931968e-08
0.454711.788842.822042e-08
0.4570421.7884272.711553e-08
0.4593861.7880182.600496e-08
0.461.7879122.571400e-08
0.4617421.7876142.514197e-08
0.464111.7872152.436431e-08
0.466491.7868212.358265e-08
0.4688831.786432.279699e-08
0.4712871.7860452.200729e-08
0.4737041.7856632.121355e-08
0.4761341.7852862.041573e-08
0.4785751.7849141.961383e-08
0.481.7846991.914600e-08
0.481031.7845451.898128e-08
0.4834971.7841811.858669e-08
0.4859761.783821.819007e-08
0.4884691.7834641.779142e-08
0.4909741.7831111.739073e-08
0.4934921.7827631.698798e-08
0.4960231.7824181.658317e-08
0.4985671.7820781.617628e-08
0.51.7818881.594700e-08
0.5011231.7817411.598284e-08
0.5036931.7814071.606482e-08
0.5062771.7810771.614723e-08
0.5088731.7807511.623005e-08
0.5114831.7804291.631330e-08
0.5141061.780111.639698e-08
0.5167431.7797941.648109e-08
0.5193931.7794821.656563e-08
0.5220561.7791731.665060e-08
0.5247341.7788681.673601e-08
0.5274251.7785661.682186e-08
0.530131.7782671.690814e-08
0.5328491.7779711.699487e-08
0.5355811.7776791.708205e-08
0.5383281.7773891.716967e-08
0.5410891.7771031.725774e-08
0.5438641.7768191.734626e-08
0.5466531.7765391.743524e-08
0.5494571.7762621.752467e-08
0.551.7762081.754200e-08
0.5522751.7759871.761456e-08
0.5551071.7757151.770491e-08
0.5579541.7754471.779573e-08
0.5608151.7751811.788701e-08
0.5636911.7749171.797876e-08
0.5665821.7746571.807098e-08
0.5694881.7743991.816367e-08
0.5724091.7741441.825684e-08
0.5753441.7738911.835048e-08
0.5782951.7736411.844461e-08
0.5812611.7733941.853922e-08
0.5842421.7731491.863431e-08
0.5872381.7729061.872989e-08
0.590251.7726661.882596e-08
0.5932771.7724291.892253e-08
0.5963191.7721931.901959e-08
0.5993781.7719611.911715e-08
0.61.7719141.913700e-08
0.6024521.771731.896068e-08
0.6055411.7715021.873847e-08
0.6086471.7712761.851512e-08
0.6117681.7710521.829063e-08
0.6149061.770831.806498e-08
0.6180591.7706111.783818e-08
0.6212291.7703941.761021e-08
0.6244151.7701781.738108e-08
0.6276171.7699651.715077e-08
0.6308361.7697541.691927e-08
0.6340711.7695451.668659e-08
0.6373231.7693381.645272e-08
0.6405921.7691331.621765e-08
0.6438771.768931.598137e-08
0.6471791.7687291.574388e-08
0.651.768561.554100e-08
0.6504981.768531.555291e-08
0.6538341.7683321.563264e-08
0.6571871.7681371.571278e-08
0.6605581.7679431.579333e-08
0.6639451.7677511.587430e-08
0.6673511.7675611.595568e-08
0.6707731.7673731.603748e-08
0.6742131.7671861.611969e-08
0.6776711.7670011.620233e-08
0.6811461.7668181.628540e-08
0.684641.7666361.636889e-08
0.6881511.7664561.645280e-08
0.691681.7662781.653715e-08
0.6952271.7661011.662193e-08
0.6987931.7659251.670715e-08
0.71.7658671.673600e-08
0.7023761.7657521.664115e-08
0.7059791.765581.649739e-08
0.7095991.7654091.635289e-08
0.7132381.765241.620765e-08
0.7168961.7650721.606167e-08
0.7205731.7649051.591494e-08
0.7242681.764741.576745e-08
0.7279831.7645771.561921e-08
0.7317161.7644151.547020e-08
0.7354691.7642541.532044e-08
0.7392411.7640941.516990e-08
0.7430321.7639361.501859e-08
0.7468431.7637791.486651e-08
0.7506731.7636241.471365e-08
0.7545231.7634691.456000e-08
0.7583921.7633161.440557e-08
0.7622821.7631641.425034e-08
0.7661911.7630141.409432e-08
0.770121.7628641.393749e-08
0.774071.7627161.377987e-08
0.778041.7625691.362143e-08
0.782031.7624231.346218e-08
0.7860411.7622781.330212e-08
0.7900721.7621341.314123e-08
0.7941241.7619911.297952e-08
0.7981961.7618491.281698e-08
0.81.7617871.274500e-08
0.802291.7617091.278150e-08
0.8064051.7615691.284709e-08
0.810541.761431.291301e-08
0.8146971.7612931.297927e-08
0.8188751.7611561.304587e-08
0.8230751.761021.311281e-08
0.8272961.7608861.318010e-08
0.8315391.7607521.324773e-08
0.8358031.7606191.331571e-08
0.840091.7604871.338403e-08
0.8443981.7603561.345271e-08
0.8487291.7602261.352174e-08
0.851.7601881.354200e-08
0.8530821.7600961.359106e-08
0.8574571.7599681.366071e-08
0.8618541.759841.373072e-08
0.8662741.7597131.380108e-08
0.8707171.7595871.387181e-08
0.8751821.7594611.394290e-08
0.8796711.7593371.401436e-08
0.8841821.7592131.408618e-08
0.8887171.759091.415837e-08
0.8932741.7589681.423093e-08
0.8978561.7588461.430386e-08
0.91.7587891.433800e-08
0.902461.7587251.437722e-08
0.9070881.7586051.445099e-08
0.9117411.7584851.452514e-08
0.9164161.7583661.459968e-08
0.9211161.7582471.467459e-08
0.925841.758131.474989e-08
0.9305881.7580131.482558e-08
0.9353611.7578961.490165e-08
0.9401581.757781.497812e-08
0.944981.7576651.505497e-08
0.9498261.757551.513222e-08
0.951.7575461.513500e-08
0.9546971.7574361.520978e-08
0.9595931.7573221.528772e-08
0.9645151.7572091.536607e-08
0.9694611.7570961.544482e-08
0.9744331.7569841.552397e-08
0.979431.7568721.560353e-08
0.9844531.7567611.568350e-08
0.9895021.756651.576387e-08
0.9945771.7565391.584466e-08
0.9996781.7564291.592587e-08
11.7564221.593100e-08
1.00481.756321.600755e-08
1.009961.7562111.608966e-08
1.015141.7561021.617219e-08
1.020341.7559931.625514e-08
1.025581.7558851.633851e-08
1.030841.7557781.642232e-08
1.036121.755671.650655e-08
1.041441.7555631.659122e-08
1.046781.7554571.667632e-08
1.052151.755351.676185e-08
1.057541.7552441.684783e-08
1.061.7551961.688700e-08
1.062971.7551381.693425e-08
1.068421.7550331.702113e-08
1.07391.7549271.710844e-08
1.07941.7548221.719621e-08
1.084941.7547181.728443e-08
1.09051.7546131.737309e-08
1.09611.7545091.746222e-08
1.101721.7544041.755180e-08
1.107371.75431.764184e-08
1.113051.7541961.773234e-08
1.118761.7540931.782330e-08
1.124491.7539891.791474e-08
1.130261.7538861.800664e-08
1.136061.7537831.809901e-08
1.141881.7536791.819185e-08
1.147741.7535761.828518e-08
1.153621.7534731.837898e-08
1.159541.7533711.847326e-08
1.165491.7532681.856802e-08
1.171471.7531651.866328e-08
1.177471.7530621.875902e-08
1.183511.752961.885525e-08
1.189581.7528571.895197e-08
1.195681.7527541.904919e-08
1.21.7526821.911800e-08
1.201811.7526521.914690e-08
1.207981.7525491.924509e-08
1.214171.7524461.934377e-08
1.22041.7523441.944297e-08
1.226661.7522411.954267e-08
1.232951.7521381.964289e-08
1.239271.7520351.974361e-08
1.245631.7519321.984486e-08
1.252021.7518291.994662e-08
1.258441.7517262.004891e-08
1.264891.7516232.015172e-08
1.271381.7515192.025506e-08
1.27791.7514162.035893e-08
1.284451.7513122.046333e-08
1.291041.7512082.056826e-08
1.297661.7511042.067374e-08
1.304321.7512.077975e-08
1.311011.7508952.088631e-08
1.317731.7507912.099342e-08
1.324491.7506862.110107e-08
1.331281.7505812.120928e-08
1.338111.7504752.131804e-08
1.344971.7503692.142736e-08
1.351871.7502642.153724e-08
1.35881.7501572.164769e-08
1.365771.7500512.175870e-08
1.372771.7499442.187028e-08
1.379811.7498372.198243e-08
1.386891.7497292.209515e-08
1.3941.7496222.220846e-08
1.41.7495312.230400e-08
1.401151.7495132.239585e-08
1.408341.7494052.296896e-08
1.415561.7492962.354500e-08
1.422821.7491872.412400e-08
1.430121.7490772.470597e-08
1.437451.7489672.529092e-08
1.444821.7488562.587888e-08
1.452231.7487452.646984e-08
1.459681.7486332.706384e-08
1.467171.7485212.766089e-08
1.474691.7484092.826100e-08
1.482251.7482962.886418e-08
1.489861.7481822.947046e-08
1.49751.7480683.007985e-08
1.505181.7479543.069236e-08
1.51291.7478393.130802e-08
1.520651.7477233.192683e-08
1.528451.7476073.254881e-08
1.536291.747493.317399e-08
1.544171.7473723.380237e-08
1.552091.7472543.443397e-08
1.560051.7471353.506882e-08
1.568051.7470163.570692e-08
1.576091.7468963.634829e-08
1.584181.7467753.699295e-08
1.59231.7466543.764092e-08
1.61.7465393.825500e-08
1.600471.7465323.840047e-08
1.608671.7464094.095994e-08
1.616921.7462854.353253e-08
1.625221.7461614.611831e-08
1.633551.7460364.871736e-08
1.641931.745915.132973e-08
1.650351.7457835.395551e-08
1.658811.7456555.659475e-08
1.667321.7455275.924752e-08
1.675871.7453986.191390e-08
1.684471.7452686.459395e-08
1.693111.7451376.728775e-08
1.701791.7450056.999537e-08
1.710521.7448727.271687e-08
1.719291.7447387.545232e-08
1.728111.7446047.820181e-08
1.736971.7444688.096540e-08
1.745881.7443318.374316e-08
1.754831.7441948.653516e-08
1.763831.7440558.934149e-08
1.772881.7439169.216220e-08
1.781971.7437759.499739e-08
1.791111.7436339.784711e-08
1.81.7434951.006200e-07
1.800291.743491.010394e-07
1.809531.7433461.142428e-07
1.818811.7432011.275139e-07
1.828131.7430551.408531e-07
1.837511.7429081.542607e-07
1.846931.7427591.677371e-07
1.856411.742611.812825e-07
1.865931.7424591.948975e-07
1.87551.7423072.085822e-07
1.885111.7421532.223372e-07
1.894781.7419992.361627e-07
1.90451.7418432.500591e-07
1.914271.7416852.640267e-07
1.924081.7415272.780660e-07
1.933951.7413672.921773e-07
1.943871.7412053.063610e-07
1.953841.7410433.206174e-07
1.963861.7408793.349469e-07
1.973931.7407133.493499e-07
1.984051.7405463.638268e-07
1.994231.7403773.783779e-07
21.7402823.866300e-07
2.004461.7402074.017384e-07
2.014741.7400364.365856e-07
2.025071.7398634.716116e-07
2.035461.7396885.068172e-07
2.045891.7395125.422034e-07
2.056391.7393345.777711e-07
2.066931.7391546.135211e-07
2.077531.7389736.494546e-07
2.088191.738796.855723e-07
2.09891.7386067.218752e-07
2.109661.7384197.583643e-07
2.120481.7382317.950405e-07
2.131361.7380418.319049e-07
2.142291.737858.689583e-07
2.153271.7376569.062017e-07
2.164321.7374619.436361e-07
2.175421.7372639.812625e-07
2.186571.7370641.019082e-06
2.197791.7368631.057095e-06
2.21.7368231.064600e-06
2.209061.736661.218084e-06
2.220391.7364541.410062e-06
2.231771.7362471.603026e-06
2.243221.7360381.796978e-06
2.254721.7358261.991926e-06
2.266291.7356132.187873e-06
2.277911.7353972.384826e-06
2.289591.7351792.582788e-06
2.301331.7349592.781766e-06
2.313141.7347372.981764e-06
2.3251.7345123.182788e-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
—