Optical constants

Refractive index of H-ZLAF53BGT (CDGM)

H-ZLAF53BGT: 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
2.81403e-08
Permittivity ε1
3.36354
Permittivity ε2
1.03218e-07
Absorption coefficient α
0.00601806 cm⁻¹
Penetration depth δ = λ/(2πk)
3.32333e+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-ZLAF53BGT (CDGM): H-ZLAF53BGT
cdgm_h_zlaf53bgt = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZLAF53BGT", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zlaf53bgt.range_nm)  # (365, 2325) nm
eps = cdgm_h_zlaf53bgt.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-ZLAF53BGT (CDGM), H-ZLAF53BGT: n and k versus wavelength
λ (µm)nk
0.3651.8940071.310050e-06
0.3666981.8929621.155505e-06
0.3684031.8919341.000241e-06
0.371.8909888.549000e-07
0.3701171.890928.503601e-07
0.3718381.889927.835214e-07
0.3735681.8889357.163719e-07
0.3753061.8879646.489100e-07
0.3770511.8870075.811344e-07
0.3788051.8860635.130435e-07
0.381.885434.666500e-07
0.3805671.8851324.565935e-07
0.3823371.8842144.251983e-07
0.3841161.8833093.936570e-07
0.3859021.8824163.619690e-07
0.3876971.8815363.301336e-07
0.38951.8806672.981502e-07
0.391.880432.892900e-07
0.3913121.8798112.771750e-07
0.3931321.8789652.603698e-07
0.3949611.8781322.434865e-07
0.3967981.8773092.265246e-07
0.3986441.8764972.094838e-07
0.41.8759091.969600e-07
0.4004981.8756961.946773e-07
0.4023611.8749051.861352e-07
0.4042321.8741251.775534e-07
0.4061121.8733551.689317e-07
0.4080011.8725941.602698e-07
0.4098991.8718441.515677e-07
0.4118061.8711031.428251e-07
0.4137211.8703721.340418e-07
0.4156451.869651.252177e-07
0.4175791.8689371.163526e-07
0.4195211.8682341.074462e-07
0.421.8680621.052500e-07
0.4214721.8675391.034995e-07
0.4234331.8668521.011689e-07
0.4254021.8661759.882744e-08
0.4273811.8655059.647508e-08
0.4293691.8648449.411177e-08
0.4313661.8641919.173748e-08
0.4333721.8635468.935214e-08
0.4353881.8629098.695570e-08
0.4374131.862288.454812e-08
0.4394481.8616588.212934e-08
0.441.8614928.147300e-08
0.4414921.8610447.952237e-08
0.4435451.8604387.683749e-08
0.4456091.8598387.414012e-08
0.4476811.8592467.143020e-08
0.4497641.8586616.870768e-08
0.4518561.8580826.597250e-08
0.4539571.8575116.322459e-08
0.4560691.8569466.046391e-08
0.458191.8563885.769038e-08
0.461.8559195.532400e-08
0.4603211.8558365.511398e-08
0.4624621.8552915.371434e-08
0.4646131.8547525.230819e-08
0.4667751.8542195.089550e-08
0.4689461.8536934.947624e-08
0.4711271.8531724.805037e-08
0.4733181.8526584.661788e-08
0.475521.8521494.517872e-08
0.4777321.8516474.373286e-08
0.4799541.8511494.228028e-08
0.481.8511394.225000e-08
0.4821861.8506584.112514e-08
0.4844291.8501723.997111e-08
0.4866821.8496923.881170e-08
0.4889461.8492163.764691e-08
0.491221.8487473.647669e-08
0.4935051.8482823.530103e-08
0.49581.8478233.411991e-08
0.4981071.8473683.293329e-08
0.51.8470013.195900e-08
0.5004231.8469193.191142e-08
0.5027511.8464753.164984e-08
0.5050891.8460353.138704e-08
0.5074391.84563.112303e-08
0.5097991.845173.085778e-08
0.512171.8447453.059130e-08
0.5145531.8443243.032358e-08
0.5169461.8439083.005461e-08
0.519351.8434972.978440e-08
0.5217661.8430892.951292e-08
0.5241931.8426872.924019e-08
0.5266311.8422882.896618e-08
0.5290811.8418942.869091e-08
0.5315421.8415032.841435e-08
0.5340141.8411172.813650e-08
0.5364981.8407352.785736e-08
0.5389931.8403582.757693e-08
0.54151.8399842.729519e-08
0.5440191.8396142.701213e-08
0.5465491.8392472.672777e-08
0.5490921.8388852.644208e-08
0.551.8387572.634000e-08
0.5516461.8385262.641880e-08
0.5542121.8381712.654165e-08
0.5567891.837822.666508e-08
0.5593791.8374722.678908e-08
0.5619811.8371282.691365e-08
0.5645951.8367882.703881e-08
0.5672211.8364512.716455e-08
0.5698591.8361172.729087e-08
0.572511.8357872.741778e-08
0.5751731.835462.754528e-08
0.5778481.8351362.767338e-08
0.5805361.8348162.780207e-08
0.5832361.8344992.793136e-08
0.5859491.8341852.806125e-08
0.5886751.8338742.819174e-08
0.5914131.8335662.832284e-08
0.5941641.8332612.845455e-08
0.5969271.8329592.858688e-08
0.5997041.832662.871982e-08
0.61.8326292.873400e-08
0.6024931.8323652.911301e-08
0.6052961.8320722.953903e-08
0.6081111.8317822.996704e-08
0.610941.8314943.039703e-08
0.6137811.831213.082902e-08
0.6166361.8309283.126302e-08
0.6195041.8306493.169904e-08
0.6223861.8303733.213709e-08
0.6252811.8300993.257718e-08
0.6281891.8298283.301931e-08
0.6311111.8295593.346350e-08
0.6340471.8292933.390976e-08
0.6369961.829033.435809e-08
0.6399591.8287693.480850e-08
0.6429351.828513.526101e-08
0.6459261.8282543.571563e-08
0.648931.8283.617236e-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
1.603961.7997572.697804e-08
1.611421.7996342.978059e-08
1.618921.7995093.259618e-08
1.626451.7993843.542487e-08
1.634011.7992593.826672e-08
1.641611.7991334.112178e-08
1.649251.7990064.399013e-08
1.656921.7988794.687181e-08
1.664631.7987514.976690e-08
1.672371.7986235.267546e-08
1.680151.7984945.559754e-08
1.687961.7983645.853322e-08
1.695811.7982346.148255e-08
1.70371.7981036.444560e-08
1.711631.7979716.742243e-08
1.719591.7978397.041311e-08
1.727591.7977057.341769e-08
1.735621.7975717.643626e-08
1.743691.7974377.946886e-08
1.751811.7973018.251557e-08
1.759951.7971658.557645e-08
1.768141.7970288.865157e-08
1.776361.796899.174099e-08
1.784631.7967529.484478e-08
1.792931.7966129.796301e-08
1.81.7964931.006200e-07
1.801271.7964721.023279e-07
1.809641.7963311.136264e-07
1.818061.7961891.249775e-07
1.826521.7960461.363814e-07
1.835011.7959021.478383e-07
1.843551.7957571.593485e-07
1.852121.7956121.709123e-07
1.860741.7954651.825298e-07
1.869391.7953181.942014e-07
1.878091.7951692.059273e-07
1.886821.795022.177077e-07
1.89561.7948692.295429e-07
1.904421.7947172.414331e-07
1.913281.7945652.533787e-07
1.922181.7944112.653798e-07
1.931121.7942562.774368e-07
1.94011.7941012.895498e-07
1.949121.7939443.017192e-07
1.958191.7937863.139451e-07
1.96731.7936263.262280e-07
1.976451.7934663.385680e-07
1.985641.7933053.509653e-07
1.994881.7931423.634203e-07
21.7930513.703300e-07
2.004161.7929783.832117e-07
2.013481.7928134.121122e-07
2.022841.7926464.411471e-07
2.032251.7924794.703171e-07
2.04171.792314.996228e-07
2.05121.7921395.290647e-07
2.060741.7919685.586436e-07
2.070331.7917955.883601e-07
2.079961.7916216.182148e-07
2.089631.7914456.482084e-07
2.099351.7912686.783415e-07
2.109121.791097.086147e-07
2.118931.790917.390287e-07
2.128781.7907297.695842e-07
2.138681.7905468.002819e-07
2.148631.7903618.311223e-07
2.158621.7901768.621062e-07
2.168671.7899888.932342e-07
2.178751.7897999.245069e-07
2.188891.7896099.559252e-07
2.199071.7894179.874895e-07
2.21.7893999.903800e-07
2.20931.7892231.133604e-06
2.219571.7890281.291925e-06
2.22991.7888311.450982e-06
2.240271.7886321.610779e-06
2.250691.7884321.771319e-06
2.261161.788231.932606e-06
2.271671.7880262.094643e-06
2.282241.787822.257434e-06
2.292861.7876132.420982e-06
2.303521.7874032.585291e-06
2.314241.7871922.750364e-06
2.3251.7869792.916205e-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
—