Optical constants

Refractive index of H-ZLAF53B (CDGM)

H-ZLAF53B: 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
1.834
Extinction coefficient k
4.69952e-08
Permittivity ε1
3.36354
Permittivity ε2
1.72378e-07
Absorption coefficient α
0.0100504 cm⁻¹
Penetration depth δ = λ/(2πk)
1.98998e+09 nm
Abbe number Vd
37.211
Chromatic dispersion dn/dλ
-0.113896 µm⁻¹
Group index ng
1.90092
Group velocity dispersion
219.549 fs²/mm
Dispersion parameter D
-1197.76 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-ZLAF53B (CDGM): H-ZLAF53B
cdgm_h_zlaf53b = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZLAF53B", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zlaf53b.range_nm)  # (365, 2325) nm
eps = cdgm_h_zlaf53b.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=0.302813825λ2λ2−0.04559202+1.25522353λ2λ2−99.9412194+1.95575794λ2λ2−0.010816711

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.302813825
C30.04559202
C41.25522353
C599.9412194
C61.95575794
C70.010816711

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 9.87e-06 1.65e-08 -3.22e-11 8.9e-07 1.12e-09 0.243
nd
1.834000
Vd
37.210555
glass code
834372
glass status
standard
density
value: 4540
thermal expansion
value: 5.9e-06, temperature range: 243 343; value: 7.2e-06, temperature range: 293 573
dPgF
-0.004
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 8.00e-06 K⁻¹ at 633 nm, dn/dT = 6.51e-06 K⁻¹ at 1310 nm, dn/dT = 6.38e-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-ZLAF53B (CDGM), H-ZLAF53B: n and k versus wavelength
λ (µm)nk
0.3651.8940072.097500e-06
0.3666981.8929621.850412e-06
0.3684031.8919341.602174e-06
0.371.8909881.369800e-06
0.3701171.890921.362523e-06
0.3718381.889921.255385e-06
0.3735681.8889351.147748e-06
0.3753061.8879641.039611e-06
0.3770511.8870079.309712e-07
0.3788051.8860638.218258e-07
0.381.885437.474600e-07
0.3805671.8851327.314148e-07
0.3823371.8842146.813233e-07
0.3841161.8833096.309988e-07
0.3859021.8824165.804402e-07
0.3876971.8815365.296465e-07
0.38951.8806674.786165e-07
0.391.880434.644800e-07
0.3913121.8798114.447638e-07
0.3931321.8789654.174147e-07
0.3949611.8781323.899383e-07
0.3967981.8773093.623341e-07
0.3986441.8764973.346016e-07
0.41.8759093.142200e-07
0.4004981.8756963.105786e-07
0.4023611.8749052.969518e-07
0.4042321.8741252.832617e-07
0.4061121.8733552.695079e-07
0.4080011.8725942.556902e-07
0.4098991.8718442.418081e-07
0.4118061.8711032.278615e-07
0.4137211.8703722.138501e-07
0.4156451.869651.997734e-07
0.4175791.8689371.856313e-07
0.4195211.8682341.714234e-07
0.421.8680621.679200e-07
0.4214721.8675391.652763e-07
0.4234331.8668521.617564e-07
0.4254021.8661751.582201e-07
0.4273811.8655051.546674e-07
0.4293691.8648441.510981e-07
0.4313661.8641911.475123e-07
0.4333721.8635461.439097e-07
0.4353881.8629091.402904e-07
0.4374131.862281.366543e-07
0.4394481.8616581.330013e-07
0.441.8614921.320100e-07
0.4414921.8610441.287960e-07
0.4435451.8604381.243722e-07
0.4456091.8598381.199278e-07
0.4476811.8592461.154628e-07
0.4497641.8586611.109769e-07
0.4518561.8580821.064702e-07
0.4539571.8575111.019426e-07
0.4560691.8569469.739389e-08
0.458191.8563889.282402e-08
0.461.8559198.892500e-08
0.4603211.8558368.861105e-08
0.4624621.8552918.651876e-08
0.4646131.8547528.441674e-08
0.4667751.8542198.230494e-08
0.4689461.8536938.018332e-08
0.4711271.8531727.805183e-08
0.4733181.8526587.591043e-08
0.475521.8521497.375907e-08
0.4777321.8516477.159769e-08
0.4799541.8511496.942627e-08
0.481.8511396.938100e-08
0.4821861.8506586.748828e-08
0.4844291.8501726.554646e-08
0.4866821.8496926.359560e-08
0.4889461.8492166.163567e-08
0.491221.8487475.966663e-08
0.4935051.8482825.768843e-08
0.49581.8478235.570102e-08
0.4981071.8473685.370437e-08
0.51.8470015.206500e-08
0.5004231.8469195.199661e-08
0.5027511.8464755.162060e-08
0.5050891.8460355.124285e-08
0.5074391.84565.086333e-08
0.5097991.845175.048206e-08
0.512171.8447455.009901e-08
0.5145531.8443244.971417e-08
0.5169461.8439084.932755e-08
0.519351.8434974.893913e-08
0.5217661.8430894.854890e-08
0.5241931.8426874.815686e-08
0.5266311.8422884.776299e-08
0.5290811.8418944.736730e-08
0.5315421.8415034.696976e-08
0.5340141.8411174.657037e-08
0.5364981.8407354.616913e-08
0.5389931.8403584.576601e-08
0.54151.8399844.536103e-08
0.5440191.8396144.495416e-08
0.5465491.8392474.454539e-08
0.5490921.8388854.413473e-08
0.551.8387574.398800e-08
0.5516461.8385264.411962e-08
0.5542121.8381714.432484e-08
0.5567891.837824.453102e-08
0.5593791.8374724.473815e-08
0.5619811.8371284.494625e-08
0.5645951.8367884.515531e-08
0.5672211.8364514.536535e-08
0.5698591.8361174.557636e-08
0.572511.8357874.578836e-08
0.5751731.835464.600134e-08
0.5778481.8351364.621531e-08
0.5805361.8348164.643028e-08
0.5832361.8344994.664624e-08
0.5859491.8341854.686322e-08
0.5886751.8338744.708120e-08
0.5914131.8335664.730019e-08
0.5941641.8332614.752021e-08
0.5969271.8329594.774124e-08
0.5997041.832664.796331e-08
0.61.8326294.798700e-08
0.6024931.8323654.740599e-08
0.6052961.8320724.675292e-08
0.6081111.8317824.609681e-08
0.610941.8314944.543765e-08
0.6137811.831214.477543e-08
0.6166361.8309284.411012e-08
0.6195041.8306494.344172e-08
0.6223861.8303734.277021e-08
0.6252811.8300994.209558e-08
0.6281891.8298284.141781e-08
0.6311111.8295594.073688e-08
0.6340471.8292934.005279e-08
0.6369961.829033.936552e-08
0.6399591.8287693.867505e-08
0.6429351.828513.798137e-08
0.6459261.8282543.728447e-08
0.648931.8283.658432e-08
0.651.8279113.633500e-08
0.6519491.8277493.644392e-08
0.6549811.82753.661344e-08
0.6580281.8272533.678374e-08
0.6610881.8270093.695483e-08
0.6641631.8267673.712672e-08
0.6672521.8265273.729941e-08
0.6703561.8262893.747290e-08
0.6734741.8260533.764720e-08
0.6766071.825823.782231e-08
0.6797541.8255883.799823e-08
0.6829151.8253593.817498e-08
0.6860921.8251313.835254e-08
0.6892831.8249063.853093e-08
0.6924891.8246833.871015e-08
0.695711.8244613.889020e-08
0.6989461.8242423.907109e-08
0.71.8241713.913000e-08
0.7021971.8240253.897138e-08
0.7054631.8238093.873560e-08
0.7087451.8235953.849872e-08
0.7120411.8233843.826073e-08
0.7153531.8231743.802164e-08
0.7186811.8229653.778144e-08
0.7220231.8227593.754013e-08
0.7253821.8225543.729768e-08
0.7287561.8223513.705412e-08
0.7321461.822153.680941e-08
0.7355511.8219513.656358e-08
0.7389721.8217533.631659e-08
0.7424091.8215563.606846e-08
0.7458631.8213623.581917e-08
0.7493321.8211693.556873e-08
0.7528171.8209773.531712e-08
0.7563191.8207883.506434e-08
0.7598371.8205993.481038e-08
0.7633711.8204123.455524e-08
0.7669221.8202273.429892e-08
0.7704891.8200433.404140e-08
0.7740731.8198613.378269e-08
0.7776731.819683.352277e-08
0.781291.8195013.326164e-08
0.7849241.8193233.299930e-08
0.7885751.8191463.273574e-08
0.7922431.8189713.247095e-08
0.7959281.8187973.220493e-08
0.799631.8186243.193768e-08
0.81.8186073.191100e-08
0.803351.8184533.068035e-08
0.8070861.8182832.930759e-08
0.810841.8181142.792843e-08
0.8146121.8179462.654286e-08
0.8184011.817782.515085e-08
0.8222081.8176152.375236e-08
0.8260321.8174512.234737e-08
0.8298741.8172882.093584e-08
0.8337341.8171271.951775e-08
0.8376121.8169671.809306e-08
0.8415081.8168081.666174e-08
0.8454221.8166491.522377e-08
0.8493551.8164921.377910e-08
0.851.8164671.354200e-08
0.8533051.8163371.359462e-08
0.8572741.8161821.365781e-08
0.8612621.8160281.372129e-08
0.8652681.8158751.378506e-08
0.8692921.8157241.384913e-08
0.8733361.8155731.391350e-08
0.8773981.8154231.397817e-08
0.8814791.8152751.404315e-08
0.8855791.8151271.410842e-08
0.8896981.814981.417399e-08
0.8938361.8148351.423988e-08
0.8979941.814691.430606e-08
0.91.814621.433800e-08
0.9021711.8145461.437260e-08
0.9063671.8144031.443949e-08
0.9105831.814261.450669e-08
0.9148181.8141191.457420e-08
0.9190731.8139791.464203e-08
0.9233481.8138391.471017e-08
0.9276431.81371.477863e-08
0.9319581.8135621.484741e-08
0.9362931.8134251.491651e-08
0.9406481.8132881.498593e-08
0.9450231.8131531.505567e-08
0.9494191.8130181.512573e-08
0.951.8131.513500e-08
0.9538351.8128841.519605e-08
0.9582711.812751.526668e-08
0.9627291.8126181.533764e-08
0.9672071.8124851.540893e-08
0.9717051.8123541.548055e-08
0.9762251.8122241.555250e-08
0.9807661.8120941.562479e-08
0.9853281.8119641.569742e-08
0.9899111.8118361.577038e-08
0.9945151.8117071.584368e-08
0.9991411.811581.591732e-08
11.8115561.593100e-08
1.003791.8114531.599136e-08
1.008461.8113271.606575e-08
1.013151.8112011.614049e-08
1.017861.8110761.621558e-08
1.022591.8109521.629101e-08
1.027351.8108281.636680e-08
1.032131.8107041.644293e-08
1.036931.8105811.651943e-08
1.041751.8104591.659628e-08
1.04661.8103371.667348e-08
1.051471.8102151.675105e-08
1.056361.8100941.682897e-08
1.061.8100051.688700e-08
1.061271.8099741.690726e-08
1.066211.8098531.698593e-08
1.071171.8097341.706496e-08
1.076151.8096151.714435e-08
1.081151.8094961.722412e-08
1.086181.8093771.730426e-08
1.091241.8092591.738477e-08
1.096311.8091421.746565e-08
1.101411.8090241.754691e-08
1.106531.8089071.762855e-08
1.111681.8087911.771057e-08
1.116851.8086751.779297e-08
1.122051.8085591.787576e-08
1.127271.8084431.795892e-08
1.132511.8083281.804248e-08
1.137781.8082131.812642e-08
1.143071.8080981.821076e-08
1.148391.8079831.829549e-08
1.153731.8078691.838061e-08
1.159091.8077551.846612e-08
1.164481.8076421.855204e-08
1.16991.8075281.863835e-08
1.175341.8074151.872507e-08
1.180811.8073021.881219e-08
1.18631.8071891.889971e-08
1.191821.8070761.898764e-08
1.197361.8069631.907598e-08
1.21.806911.911800e-08
1.202931.8068511.916472e-08
1.208531.8067391.925385e-08
1.214151.8066271.934340e-08
1.21981.8065151.943336e-08
1.225471.8064031.952374e-08
1.231171.8062911.961454e-08
1.23691.806181.970577e-08
1.242651.8060681.979742e-08
1.248431.8059571.988949e-08
1.254241.8058451.998199e-08
1.260071.8057342.007493e-08
1.265931.8056232.016829e-08
1.271821.8055112.026209e-08
1.277741.80542.035633e-08
1.283681.8052892.045101e-08
1.289651.8051782.054612e-08
1.295651.8050662.064168e-08
1.301671.8049552.073768e-08
1.307731.8048442.083413e-08
1.313811.8047332.093103e-08
1.319921.8046212.102837e-08
1.326061.804512.112617e-08
1.332231.8043982.122443e-08
1.338431.8042872.132314e-08
1.344651.8041752.142231e-08
1.350911.8040632.152195e-08
1.357191.8039522.162204e-08
1.36351.803842.172260e-08
1.369851.8037272.182363e-08
1.376221.8036152.192513e-08
1.382621.8035032.202711e-08
1.389051.803392.212955e-08
1.395511.8032772.223247e-08
1.41.8031992.230400e-08
1.4021.8031642.233588e-08
1.408521.8030512.243976e-08
1.415071.8029382.254412e-08
1.421661.8028242.264897e-08
1.428271.802712.275431e-08
1.434911.8025962.286014e-08
1.441591.8024822.296646e-08
1.448291.8023672.307328e-08
1.455031.8022532.318059e-08
1.46181.8021382.328840e-08
1.468591.8020222.339671e-08
1.475431.8019062.350553e-08
1.482291.801792.361485e-08
1.489181.8016742.372468e-08
1.496111.8015572.383503e-08
1.503071.801442.394588e-08
1.510061.8013232.405725e-08
1.517081.8012052.416914e-08
1.524141.8010872.428155e-08
1.531231.8009682.439448e-08
1.538351.8008492.450794e-08
1.545511.800732.462193e-08
1.55271.800612.473644e-08
1.559921.8004892.485149e-08
1.567171.8003692.496707e-08
1.574461.8002472.508319e-08
1.581791.8001262.519985e-08
1.589141.8000032.531706e-08
1.596541.7998812.543481e-08
1.61.7998232.549000e-08
1.603961.7997572.640720e-08
1.611421.7996342.813466e-08
1.618921.7995092.987015e-08
1.626451.7993843.161371e-08
1.634011.7992593.336538e-08
1.641611.7991333.512520e-08
1.649251.7990063.689320e-08
1.656921.7988793.866943e-08
1.664631.7987514.045392e-08
1.672371.7986234.224671e-08
1.680151.7984944.404784e-08
1.687961.7983644.585734e-08
1.695811.7982344.767526e-08
1.70371.7981034.950164e-08
1.711631.7979715.133652e-08
1.719591.7978395.317993e-08
1.727591.7977055.503191e-08
1.735621.7975715.689250e-08
1.743691.7974375.876176e-08
1.751811.7973016.063970e-08
1.759951.7971656.252638e-08
1.768141.7970286.442184e-08
1.776361.796896.632611e-08
1.784631.7967526.823924e-08
1.792931.7966127.016127e-08
1.81.7964937.179900e-08
1.801271.7964727.338041e-08
1.809641.7963318.384241e-08
1.818061.7961899.435308e-08
1.826521.7960461.049126e-07
1.835011.7959021.155213e-07
1.843551.7957571.261793e-07
1.852121.7956121.368869e-07
1.860741.7954651.476443e-07
1.869391.7953181.584518e-07
1.878091.7951691.693095e-07
1.886821.795021.802177e-07
1.89561.7948691.911766e-07
1.904421.7947172.021865e-07
1.913281.7945652.132476e-07
1.922181.7944112.243602e-07
1.931121.7942562.355245e-07
1.94011.7941012.467407e-07
1.949121.7939442.580090e-07
1.958191.7937862.693298e-07
1.96731.7936262.807032e-07
1.976451.7934662.921296e-07
1.985641.7933053.036091e-07
1.994881.7931423.151419e-07
21.7930513.215400e-07
2.004161.7929783.346665e-07
2.013481.7928133.641160e-07
2.022841.7926463.937026e-07
2.032251.7924794.234267e-07
2.04171.792314.532891e-07
2.05121.7921394.832904e-07
2.060741.7919685.134313e-07
2.070331.7917955.437123e-07
2.079961.7916215.741342e-07
2.089631.7914456.046976e-07
2.099351.7912686.354032e-07
2.109121.791096.662516e-07
2.118931.790916.972434e-07
2.128781.7907297.283795e-07
2.138681.7905467.596603e-07
2.148631.7903617.910867e-07
2.158621.7901768.226592e-07
2.168671.7899888.543785e-07
2.178751.7897998.862455e-07
2.188891.7896099.182606e-07
2.199071.7894179.504246e-07
2.21.7893999.533700e-07
2.20931.7892231.095023e-06
2.219571.7890281.251608e-06
2.22991.7888311.408921e-06
2.240271.7886321.566965e-06
2.250691.7884321.725745e-06
2.261161.788231.885264e-06
2.271671.7880262.045524e-06
2.282241.787822.206530e-06
2.292861.7876132.368284e-06
2.303521.7874032.530791e-06
2.314241.7871922.694054e-06
2.3251.7869792.858076e-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
—