Optical constants

Refractive index of H-ZLAF50D (CDGM)

H-ZLAF50D: n,k 0.365–2.325 µm

Data
formula 2 + tabulated k
Range
0.365–2.325 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.365–2.325 µm
Refractive index n
1.804
Extinction coefficient k
2.34385e-08
Permittivity ε1
3.2544
Permittivity ε2
8.45659e-08
Absorption coefficient α
0.00501254 cm⁻¹
Penetration depth δ = λ/(2πk)
3.98999e+09 nm
Abbe number Vd
46.575
Chromatic dispersion dn/dλ
-0.0885698 µm⁻¹
Group index ng
1.85604
Group velocity dispersion
161.891 fs²/mm
Dispersion parameter D
-883.202 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-ZLAF50D (CDGM): H-ZLAF50D
cdgm_h_zlaf50d = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZLAF50D", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zlaf50d.range_nm)  # (365, 2325) nm
eps = cdgm_h_zlaf50d.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=0.497440659λ2λ2−0.0285446966+1.67780264λ2λ2−0.00788379288+1.32327423λ2λ2−94.0514342

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.497440659
C30.0285446966
C41.67780264
C50.00788379288
C61.32327423
C794.0514342

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 1.43e-06 1.84e-08 1.12e-10 9.58e-07 3.67e-09 0.085
nd
1.804000
Vd
46.575016
glass code
804466
density
value: 4520
thermal expansion
value: 6.2e-06, temperature range: 243 343; value: 7.9e-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 = 2.41e-06 K⁻¹ at 633 nm, dn/dT = 1.21e-06 K⁻¹ at 1310 nm, dn/dT = 1.11e-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 425 wavelengths, the same grid as the API and the library
H-ZLAF50D (CDGM), H-ZLAF50D: n and k versus wavelength
λ (µm)nk
0.3651.8478485.426650e-07
0.3666981.8471324.976326e-07
0.3684031.8464264.523907e-07
0.371.8457754.100400e-07
0.3701171.8457274.082706e-07
0.3718381.8450373.822203e-07
0.3735681.8443563.560488e-07
0.3753061.8436823.297556e-07
0.3770511.8430173.033402e-07
0.3788051.842362.768018e-07
0.381.8419182.587200e-07
0.3805671.841712.540053e-07
0.3823371.8410682.392866e-07
0.3841161.8404342.244994e-07
0.3859021.8398072.096434e-07
0.3876971.8391881.947183e-07
0.38951.8385751.797238e-07
0.391.8384071.755700e-07
0.3913121.837971.695827e-07
0.3931321.8373721.612775e-07
0.3949611.8367811.529337e-07
0.3967981.8361971.445510e-07
0.3986441.8356191.361293e-07
0.41.83521.299400e-07
0.4004981.8350481.288120e-07
0.4023611.8344841.245906e-07
0.4042321.8339261.203497e-07
0.4061121.8333741.160890e-07
0.4080011.8328291.118086e-07
0.4098991.832291.075082e-07
0.4118061.8317561.031878e-07
0.4137211.8312299.884728e-08
0.4156451.8307089.448659e-08
0.4175791.8301939.010563e-08
0.4195211.8296838.570429e-08
0.421.8295598.461900e-08
0.4214721.8291798.307151e-08
0.4234331.8286818.101112e-08
0.4254021.8281887.894115e-08
0.4273811.8277017.686155e-08
0.4293691.8272197.477228e-08
0.4313661.8267427.267329e-08
0.4333721.8262717.056453e-08
0.4353881.8258046.844597e-08
0.4374131.8253436.631756e-08
0.4394481.8248876.417924e-08
0.441.8247646.359900e-08
0.4414921.8244366.242783e-08
0.4435451.8239896.081581e-08
0.4456091.8235485.919630e-08
0.4476811.8231115.756925e-08
0.4497641.8226795.593464e-08
0.4518561.8222515.429242e-08
0.4539571.8218285.264256e-08
0.4560691.821415.098503e-08
0.458191.8209964.931979e-08
0.461.8206484.789900e-08
0.4603211.8205864.774623e-08
0.4624621.8201814.672814e-08
0.4646131.819784.570531e-08
0.4667751.8193834.467772e-08
0.4689461.8189914.364535e-08
0.4711271.8186024.260818e-08
0.4733181.8182184.156618e-08
0.475521.8178384.051934e-08
0.4777321.8174613.946763e-08
0.4799541.8170883.841103e-08
0.481.8170813.838900e-08
0.4821861.816723.724797e-08
0.4844291.8163553.607733e-08
0.4866821.8159943.490126e-08
0.4889461.8156363.371971e-08
0.491221.8152823.253266e-08
0.4935051.8149323.134010e-08
0.49581.8145863.014199e-08
0.4981071.8142422.893830e-08
0.51.8139652.795000e-08
0.5004231.8139032.789910e-08
0.5027511.8135672.761927e-08
0.5050891.8132342.733814e-08
0.5074391.8129042.705571e-08
0.5097991.8125782.677195e-08
0.512171.8122552.648688e-08
0.5145531.8119362.620049e-08
0.5169461.8116192.591276e-08
0.519351.8113062.562369e-08
0.5217661.8109962.533328e-08
0.5241931.8106882.504152e-08
0.5266311.8103842.474840e-08
0.5290811.8100832.445391e-08
0.5315421.8097852.415806e-08
0.5340141.809492.386083e-08
0.5364981.8091972.356222e-08
0.5389931.8089082.326222e-08
0.54151.8086212.296082e-08
0.5440191.8083372.265803e-08
0.5465491.8080562.235382e-08
0.5490921.8077772.204820e-08
0.551.8076782.193900e-08
0.5516461.8075012.200463e-08
0.5542121.8072282.210696e-08
0.5567891.8069572.220976e-08
0.5593791.8066892.231304e-08
0.5619811.8064242.241680e-08
0.5645951.8061612.252105e-08
0.5672211.80592.262578e-08
0.5698591.8056422.273100e-08
0.572511.8053862.283670e-08
0.5751731.8051332.294290e-08
0.5778481.8048822.304959e-08
0.5805361.8046342.315678e-08
0.5832361.8043872.326447e-08
0.5859491.8041432.337265e-08
0.5886751.8039022.348134e-08
0.5914131.8036622.359054e-08
0.5941641.8034252.370024e-08
0.5969271.803192.381046e-08
0.5997041.8029572.392119e-08
0.61.8029322.393300e-08
0.6024931.8027262.403248e-08
0.6052961.8024972.414429e-08
0.6081111.802272.425663e-08
0.610941.8020452.436949e-08
0.6137811.8018232.448287e-08
0.6166361.8016022.459678e-08
0.6195041.8013832.471122e-08
0.6223861.8011662.482619e-08
0.6252811.8009512.494170e-08
0.6281891.8007382.505775e-08
0.6311111.8005272.517433e-08
0.6340471.8003182.529146e-08
0.6369961.800112.540913e-08
0.6399591.7999042.552735e-08
0.6429351.79972.564612e-08
0.6459261.7994982.576544e-08
0.648931.7992982.588531e-08
0.651.7992272.592800e-08
0.6519491.7990992.578763e-08
0.6549811.7989022.556917e-08
0.6580281.7987062.534970e-08
0.6610881.7985132.512921e-08
0.6641631.7983212.490769e-08
0.6672521.798132.468514e-08
0.6703561.7979412.446155e-08
0.6734741.7977542.423693e-08
0.6766071.7975682.401126e-08
0.6797541.7973832.378454e-08
0.6829151.7972012.355677e-08
0.6860921.7970192.332794e-08
0.6892831.7968392.309804e-08
0.6924891.7966612.286707e-08
0.695711.7964842.263503e-08
0.6989461.7963082.240191e-08
0.71.7962522.232600e-08
0.7021971.7961342.211548e-08
0.7054631.7959612.180255e-08
0.7087451.795792.148816e-08
0.7120411.795622.117232e-08
0.7153531.7954512.085500e-08
0.7186811.7952832.053621e-08
0.7220231.7951172.021593e-08
0.7253821.7949521.989417e-08
0.7287561.7947881.957090e-08
0.7321461.7946261.924614e-08
0.7355511.7944651.891986e-08
0.7389721.7943051.859207e-08
0.7424091.7941461.826275e-08
0.7458631.7939881.793190e-08
0.7493321.7938311.759951e-08
0.7528171.7936761.726557e-08
0.7563191.7935221.693009e-08
0.7598371.7933691.659304e-08
0.7633711.7932161.625442e-08
0.7669221.7930651.591423e-08
0.7704891.7929151.557245e-08
0.7740731.7927661.522909e-08
0.7776731.7926191.488413e-08
0.781291.7924721.453756e-08
0.7849241.7923261.418939e-08
0.7885751.7921811.383959e-08
0.7922431.7920371.348817e-08
0.7959281.7918941.313511e-08
0.799631.7917521.278041e-08
0.81.7917381.274500e-08
0.803351.7916111.279840e-08
0.8070861.7914711.285796e-08
0.810841.7913311.291780e-08
0.8146121.7911931.297791e-08
0.8184011.7910561.303831e-08
0.8222081.7909191.309899e-08
0.8260321.7907831.315995e-08
0.8298741.7906481.322119e-08
0.8337341.7905141.328272e-08
0.8376121.7903811.334454e-08
0.8415081.7902481.340664e-08
0.8454221.7901161.346903e-08
0.8493551.7899851.353171e-08
0.851.7899641.354200e-08
0.8533051.7898551.359462e-08
0.8572741.7897251.365781e-08
0.8612621.7895971.372129e-08
0.8652681.7894691.378506e-08
0.8692921.7893411.384913e-08
0.8733361.7892151.391350e-08
0.8773981.7890891.397817e-08
0.8814791.7889631.404315e-08
0.8855791.7888391.410842e-08
0.8896981.7887151.417399e-08
0.8938361.7885911.423988e-08
0.8979941.7884681.430606e-08
0.91.788411.433800e-08
0.9021711.7883461.437260e-08
0.9063671.7882251.443949e-08
0.9105831.7881041.450669e-08
0.9148181.7879831.457420e-08
0.9190731.7878631.464203e-08
0.9233481.7877441.471017e-08
0.9276431.7876251.477863e-08
0.9319581.7875071.484741e-08
0.9362931.787391.491651e-08
0.9406481.7872721.498593e-08
0.9450231.7871561.505567e-08
0.9494191.7870391.512573e-08
0.951.7870241.513500e-08
0.9538351.7869241.519605e-08
0.9582711.7868081.526668e-08
0.9627291.7866941.533764e-08
0.9672071.7865791.540893e-08
0.9717051.7864651.548055e-08
0.9762251.7863521.555250e-08
0.9807661.7862381.562479e-08
0.9853281.7861261.569742e-08
0.9899111.7860131.577038e-08
0.9945151.7859011.584368e-08
0.9991411.785791.591732e-08
11.7857691.593100e-08
1.003791.7856791.599136e-08
1.008461.7855681.606575e-08
1.013151.7854571.614049e-08
1.017861.7853471.621558e-08
1.022591.7852371.629101e-08
1.027351.7851271.636680e-08
1.032131.7850181.644293e-08
1.036931.7849091.651943e-08
1.041751.78481.659628e-08
1.04661.7846911.667348e-08
1.051471.7845831.675105e-08
1.056361.7844751.682897e-08
1.061.7843951.688700e-08
1.061271.7843671.690726e-08
1.066211.784261.698593e-08
1.071171.7841521.706496e-08
1.076151.7840451.714435e-08
1.081151.7839381.722412e-08
1.086181.7838311.730426e-08
1.091241.7837251.738477e-08
1.096311.7836181.746565e-08
1.101411.7835121.754691e-08
1.106531.7834061.762855e-08
1.111681.78331.771057e-08
1.116851.7831941.779297e-08
1.122051.7830881.787576e-08
1.127271.7829821.795892e-08
1.132511.7828761.804248e-08
1.137781.7827711.812642e-08
1.143071.7826651.821076e-08
1.148391.782561.829549e-08
1.153731.7824551.838061e-08
1.159091.7823491.846612e-08
1.164481.7822441.855204e-08
1.16991.7821391.863835e-08
1.175341.7820331.872507e-08
1.180811.7819281.881219e-08
1.18631.7818231.889971e-08
1.191821.7817181.898764e-08
1.197361.7816121.907598e-08
1.21.7815621.911800e-08
1.202931.7815071.916472e-08
1.208531.7814011.925385e-08
1.214151.7812961.934340e-08
1.21981.7811911.943336e-08
1.225471.7810851.952374e-08
1.231171.7809791.961454e-08
1.23691.7808731.970577e-08
1.242651.7807681.979742e-08
1.248431.7806621.988949e-08
1.254241.7805551.998199e-08
1.260071.7804492.007493e-08
1.265931.7803432.016829e-08
1.271821.7802362.026209e-08
1.277741.7801292.035633e-08
1.283681.7800222.045101e-08
1.289651.7799152.054612e-08
1.295651.7798082.064168e-08
1.301671.7797012.073768e-08
1.307731.7795932.083413e-08
1.313811.7794852.093103e-08
1.319921.7793772.102837e-08
1.326061.7792682.112617e-08
1.332231.779162.122443e-08
1.338431.7790512.132314e-08
1.344651.7789412.142231e-08
1.350911.7788322.152195e-08
1.357191.7787222.162204e-08
1.36351.7786122.172260e-08
1.369851.7785012.182363e-08
1.376221.7783912.192513e-08
1.382621.7782792.202711e-08
1.389051.7781682.212955e-08
1.395511.7780562.223247e-08
1.41.7779782.230400e-08
1.4021.7779442.246359e-08
1.408521.7778312.298368e-08
1.415071.7777182.350620e-08
1.421661.7776052.403115e-08
1.428271.7774912.455853e-08
1.434911.7773772.508837e-08
1.441591.7772622.562068e-08
1.448291.7771472.615546e-08
1.455031.7770312.669273e-08
1.46181.7769152.723249e-08
1.468591.7767992.777477e-08
1.475431.7766822.831957e-08
1.482291.7765642.886690e-08
1.489181.7764462.941678e-08
1.496111.7763272.996922e-08
1.503071.7762083.052423e-08
1.510061.7760883.108182e-08
1.517081.7759683.164200e-08
1.524141.7758473.220479e-08
1.531231.7757263.277019e-08
1.538351.7756043.333823e-08
1.545511.7754813.390891e-08
1.55271.7753583.448224e-08
1.559921.7752343.505824e-08
1.567171.7751093.563691e-08
1.574461.7749843.621828e-08
1.581791.7748583.680236e-08
1.589141.7747323.738915e-08
1.596541.7746043.797867e-08
1.61.7745453.825500e-08
1.603961.7744764.006221e-08
1.611421.7743484.346590e-08
1.618921.7742184.688542e-08
1.626451.7740885.032085e-08
1.634011.7739575.377226e-08
1.641611.7738255.723972e-08
1.649251.7736936.072331e-08
1.656921.773566.422310e-08
1.664631.7734256.773917e-08
1.672371.773297.127160e-08
1.680151.7731557.482046e-08
1.687961.7730187.838582e-08
1.695811.772888.196777e-08
1.70371.7727428.556637e-08
1.711631.7726038.918172e-08
1.719591.7724629.281388e-08
1.727591.7723219.646294e-08
1.735621.7721791.001290e-07
1.743691.7720361.038120e-07
1.751811.7718921.075123e-07
1.759951.7717471.112297e-07
1.768141.7716011.149644e-07
1.776361.7714541.187165e-07
1.784631.7713061.224860e-07
1.792931.7711571.262731e-07
1.81.7710291.295000e-07
1.801271.7710071.316458e-07
1.809641.7708551.458415e-07
1.818061.7707031.601033e-07
1.826521.7705491.744314e-07
1.835011.7703951.888262e-07
1.843551.7702392.032879e-07
1.852121.7700822.178169e-07
1.860741.7699242.324134e-07
1.869391.7697652.470779e-07
1.878091.7696042.618105e-07
1.886821.7694432.766117e-07
1.89561.769282.914818e-07
1.904421.7691163.064210e-07
1.913281.768953.214296e-07
1.922181.7687833.365081e-07
1.931121.7686153.516568e-07
1.94011.7684463.668759e-07
1.949121.7682753.821657e-07
1.958191.7681033.975267e-07
1.96731.7679294.129592e-07
1.976451.7677544.284634e-07
1.985641.7675784.440398e-07
1.994881.76744.596886e-07
21.7673014.683700e-07
2.004161.7672214.862104e-07
2.013481.767045.262357e-07
2.022841.7668585.664473e-07
2.032251.7666746.068458e-07
2.04171.7664896.474323e-07
2.05121.7663026.882075e-07
2.060741.7661137.291724e-07
2.070331.7659237.703279e-07
2.079961.7657318.116748e-07
2.089631.7655388.532140e-07
2.099351.7653438.949464e-07
2.109121.7651469.368729e-07
2.118931.7649489.789944e-07
2.128781.7647471.021312e-06
2.138681.7645451.063826e-06
2.148631.7643421.106538e-06
2.158621.7641361.149449e-06
2.168671.7639281.192559e-06
2.178751.7637191.235870e-06
2.188891.7635081.279382e-06
2.199071.7632951.323097e-06
2.21.7632751.327100e-06
2.20931.763081.541151e-06
2.219571.7628631.777765e-06
2.22991.7626442.015479e-06
2.240271.7624232.254299e-06
2.250691.76222.494230e-06
2.261161.7619752.735277e-06
2.271671.7617482.977446e-06
2.282241.7615193.220740e-06
2.292861.7612873.465166e-06
2.303521.7610543.710729e-06
2.314241.7608183.957435e-06
2.3251.760584.205287e-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
—