Optical constants

Refractive index of H-ZBAF21 (CDGM)

H-ZBAF21: 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
1.72341
Extinction coefficient k
2.81403e-08
Permittivity ε1
2.97013
Permittivity ε2
9.69943e-08
Absorption coefficient α
0.00601806 cm⁻¹
Penetration depth δ = λ/(2πk)
3.32333e+09 nm
Abbe number Vd
37.992
Chromatic dispersion dn/dλ
-0.0965707 µm⁻¹
Group index ng
1.78015
Group velocity dispersion
187.194 fs²/mm
Dispersion parameter D
-1021.24 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-ZBAF21 (CDGM): H-ZBAF21
cdgm_h_zbaf21 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZBAF21", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zbaf21.range_nm)  # (365, 2325) nm
eps = cdgm_h_zbaf21.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=1.71447483λ2λ2−0.0106695401+0.172919641λ2λ2−0.0536257488+1.37586664λ2λ2−127.687623

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C21.71447483
C30.0106695401
C40.172919641
C50.0536257488
C61.37586664
C7127.687623

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 1.42e-06 1.45e-08 -2.3e-11 7.19e-07 8.37e-10 0.256
nd
1.723410
Vd
37.991564
glass code
723380
density
value: 3620
thermal expansion
value: 7.6e-06, temperature range: 243 343; value: 8.8e-06, temperature range: 293 573
dPgF
0.0028
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 2.03e-06 K⁻¹ at 633 nm, dn/dT = 1.03e-06 K⁻¹ at 1310 nm, dn/dT = 9.54e-07 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-ZBAF21 (CDGM), H-ZBAF21: n and k versus wavelength
λ (µm)nk
0.3651.7753062.736200e-06
0.3666981.7743762.324533e-06
0.3684031.7734611.910951e-06
0.371.7726211.523800e-06
0.3701171.7725611.514272e-06
0.3718381.7716741.374000e-06
0.3735681.7708011.233075e-06
0.3753061.7699421.091494e-06
0.3770511.7690969.492553e-07
0.3788051.7682638.063548e-07
0.381.7677047.089900e-07
0.3805671.7674426.906858e-07
0.3823371.7666346.335421e-07
0.3841161.7658375.761325e-07
0.3859021.7650535.184559e-07
0.3876971.764284.605111e-07
0.38951.7635184.022967e-07
0.391.7633093.861700e-07
0.3913121.7627673.676098e-07
0.3931321.7620273.418642e-07
0.3949611.7612983.159988e-07
0.3967981.7605792.900131e-07
0.3986441.759872.639066e-07
0.41.7593582.447200e-07
0.4004981.7591712.419383e-07
0.4023611.7584822.315287e-07
0.4042321.7578022.210707e-07
0.4061121.7571322.105640e-07
0.4080011.7564712.000085e-07
0.4098991.7558191.894039e-07
0.4118061.7551761.787499e-07
0.4137211.7545421.680464e-07
0.4156451.7539151.572931e-07
0.4175791.7532981.464898e-07
0.4195211.7526881.356363e-07
0.421.752541.329600e-07
0.4214721.7520871.302271e-07
0.4234331.7514931.265884e-07
0.4254021.7509081.229327e-07
0.4273811.7503291.192601e-07
0.4293691.7497591.155704e-07
0.4313661.7491951.118635e-07
0.4333721.7486391.081394e-07
0.4353881.748091.043979e-07
0.4374131.7475481.006391e-07
0.4394481.7470129.686272e-08
0.441.7468699.583800e-08
0.4414921.7464849.448422e-08
0.4435451.7459629.262085e-08
0.4456091.7454469.074881e-08
0.4476811.7449378.886807e-08
0.4497641.7444358.697858e-08
0.4518561.7439388.508030e-08
0.4539571.7434478.317319e-08
0.4560691.7429638.125721e-08
0.458191.7424847.933232e-08
0.461.7420827.769000e-08
0.4603211.7420117.736937e-08
0.4624621.7415447.523254e-08
0.4646131.7410827.308578e-08
0.4667751.7406267.092903e-08
0.4689461.7401756.876225e-08
0.4711271.739736.658539e-08
0.4733181.739296.439841e-08
0.475521.7388556.220125e-08
0.4777321.7384255.999388e-08
0.4799541.7385.777623e-08
0.481.7379915.773000e-08
0.4821861.737585.667029e-08
0.4844291.7371655.558309e-08
0.4866821.7367555.449083e-08
0.4889461.7363495.339349e-08
0.491221.7359485.229105e-08
0.4935051.7355525.118348e-08
0.49581.735165.007076e-08
0.4981071.7347734.895286e-08
0.51.7344594.803500e-08
0.5004231.734394.785130e-08
0.5027511.7340114.684133e-08
0.5050891.7336364.582668e-08
0.5074391.7332664.480730e-08
0.5097991.73294.378318e-08
0.512171.7325384.275430e-08
0.5145531.732184.172063e-08
0.5169461.7318254.068215e-08
0.519351.7314753.963885e-08
0.5217661.7311283.859069e-08
0.5241931.7307863.753765e-08
0.5266311.7304473.647972e-08
0.5290811.7301113.541687e-08
0.5315421.729783.434907e-08
0.5340141.7294513.327630e-08
0.5364981.7291273.219855e-08
0.5389931.7288063.111578e-08
0.54151.7284883.002798e-08
0.5440191.7281742.893512e-08
0.5465491.7278622.783717e-08
0.5490921.7275552.673412e-08
0.551.7274462.634000e-08
0.5516461.727252.641880e-08
0.5542121.7269492.654165e-08
0.5567891.7266512.666508e-08
0.5593791.7263562.678908e-08
0.5619811.7260632.691365e-08
0.5645951.7257742.703881e-08
0.5672211.7254882.716455e-08
0.5698591.7252052.729087e-08
0.572511.7249252.741778e-08
0.5751731.7246482.754528e-08
0.5778481.7243732.767338e-08
0.5805361.7241012.780207e-08
0.5832361.7238322.793136e-08
0.5859491.7235662.806125e-08
0.5886751.7233032.819174e-08
0.5914131.7230422.832284e-08
0.5941641.7227832.845455e-08
0.5969271.7225272.858688e-08
0.5997041.7222742.871982e-08
0.61.7222472.873400e-08
0.6024931.7220232.885342e-08
0.6052961.7217752.898766e-08
0.6081111.7215292.912252e-08
0.610941.7212862.925800e-08
0.6137811.7210452.939412e-08
0.6166361.7208062.953087e-08
0.6195041.720572.966826e-08
0.6223861.7203352.980628e-08
0.6252811.7201032.994495e-08
0.6281891.7198743.008426e-08
0.6311111.7196463.022422e-08
0.6340471.7194213.036483e-08
0.6369961.7191983.050609e-08
0.6399591.7189773.064802e-08
0.6429351.7187583.079060e-08
0.6459261.7185413.093384e-08
0.648931.7183263.107775e-08
0.651.718253.112900e-08
0.6519491.7181133.078594e-08
0.6549811.7179023.025205e-08
0.6580281.7176932.971568e-08
0.6610881.7174862.917681e-08
0.6641631.7172812.863544e-08
0.6672521.7170772.809154e-08
0.6703561.7168762.754512e-08
0.6734741.7166762.699616e-08
0.6766071.7164792.644464e-08
0.6797541.7162822.589056e-08
0.6829151.7160882.533390e-08
0.6860921.7158962.477465e-08
0.6892831.7157052.421280e-08
0.6924891.7155162.364834e-08
0.695711.7153282.308125e-08
0.6989461.7151422.251152e-08
0.71.7150822.232600e-08
0.7021971.7149582.225571e-08
0.7054631.7147752.215123e-08
0.7087451.7145942.204625e-08
0.7120411.7144152.194080e-08
0.7153531.7142372.183485e-08
0.7186811.714062.172841e-08
0.7220231.7138862.162147e-08
0.7253821.7137122.151403e-08
0.7287561.713542.140610e-08
0.7321461.7133692.129766e-08
0.7355511.71322.118872e-08
0.7389721.7130332.107928e-08
0.7424091.7128662.096932e-08
0.7458631.7127012.085885e-08
0.7493321.7125382.074787e-08
0.7528171.7123752.063637e-08
0.7563191.7122142.052436e-08
0.7598371.7120552.041182e-08
0.7633711.7118962.029876e-08
0.7669221.7117392.018517e-08
0.7704891.7115832.007106e-08
0.7740731.7114281.995641e-08
0.7776731.7112751.984123e-08
0.781291.7111231.972552e-08
0.7849241.7109711.960927e-08
0.7885751.7108211.949247e-08
0.7922431.7106731.937514e-08
0.7959281.7105251.925725e-08
0.799631.7103781.913882e-08
0.81.7103641.912700e-08
0.803351.7102331.875283e-08
0.8070861.7100881.833545e-08
0.810841.7099451.791612e-08
0.8146121.7098031.749485e-08
0.8184011.7096621.707161e-08
0.8222081.7095211.664641e-08
0.8260321.7093821.621923e-08
0.8298741.7092441.579006e-08
0.8337341.7091071.535890e-08
0.8376121.708971.492573e-08
0.8415081.7088351.449054e-08
0.8454221.70871.405333e-08
0.8493551.7085671.361409e-08
0.851.7085451.354200e-08
0.8533051.7084341.359462e-08
0.8572741.7083031.365781e-08
0.8612621.7081721.372129e-08
0.8652681.7080421.378506e-08
0.8692921.7079131.384913e-08
0.8733361.7077841.391350e-08
0.8773981.7076571.397817e-08
0.8814791.707531.404315e-08
0.8855791.7074051.410842e-08
0.8896981.707281.417399e-08
0.8938361.7071551.423988e-08
0.8979941.7070321.430606e-08
0.91.7069731.433800e-08
0.9021711.7069091.437260e-08
0.9063671.7067871.443949e-08
0.9105831.7066661.450669e-08
0.9148181.7065451.457420e-08
0.9190731.7064251.464203e-08
0.9233481.7063061.471017e-08
0.9276431.7061881.477863e-08
0.9319581.706071.484741e-08
0.9362931.7059521.491651e-08
0.9406481.7058361.498593e-08
0.9450231.705721.505567e-08
0.9494191.7056051.512573e-08
0.951.705591.513500e-08
0.9538351.705491.519605e-08
0.9582711.7053761.526668e-08
0.9627291.7052621.533764e-08
0.9672071.705151.540893e-08
0.9717051.7050371.548055e-08
0.9762251.7049251.555250e-08
0.9807661.7048141.562479e-08
0.9853281.7047031.569742e-08
0.9899111.7045931.577038e-08
0.9945151.7044831.584368e-08
0.9991411.7043741.591732e-08
11.7043541.593100e-08
1.003791.7042651.599136e-08
1.008461.7041571.606575e-08
1.013151.7040491.614049e-08
1.017861.7039421.621558e-08
1.022591.7038351.629101e-08
1.027351.7037291.636680e-08
1.032131.7036231.644293e-08
1.036931.7035171.651943e-08
1.041751.7034121.659628e-08
1.04661.7033071.667348e-08
1.051471.7032031.675105e-08
1.056361.7030991.682897e-08
1.061.7030221.688700e-08
1.061271.7029951.690726e-08
1.066211.7028921.698593e-08
1.071171.7027891.706496e-08
1.076151.7026861.714435e-08
1.081151.7025841.722412e-08
1.086181.7024821.730426e-08
1.091241.702381.738477e-08
1.096311.7022791.746565e-08
1.101411.7021771.754691e-08
1.106531.7020771.762855e-08
1.111681.7019761.771057e-08
1.116851.7018761.779297e-08
1.122051.7017761.787576e-08
1.127271.7016761.795892e-08
1.132511.7015761.804248e-08
1.137781.7014771.812642e-08
1.143071.7013781.821076e-08
1.148391.7012791.829549e-08
1.153731.701181.838061e-08
1.159091.7010811.846612e-08
1.164481.7009831.855204e-08
1.16991.7008851.863835e-08
1.175341.7007871.872507e-08
1.180811.7006891.881219e-08
1.18631.7005911.889971e-08
1.191821.7004931.898764e-08
1.197361.7003961.907598e-08
1.21.7003491.911800e-08
1.202931.7002981.982079e-08
1.208531.7002012.116163e-08
1.214151.7001032.250871e-08
1.21981.7000062.386205e-08
1.225471.6999092.522169e-08
1.231171.6998122.658766e-08
1.23691.6997152.795997e-08
1.242651.6996182.933867e-08
1.248431.6995213.072379e-08
1.254241.6994243.211534e-08
1.260071.6993273.351337e-08
1.265931.6992313.491790e-08
1.271821.6991343.632897e-08
1.277741.6990373.774660e-08
1.283681.698943.917082e-08
1.289651.6988434.060166e-08
1.295651.6987464.203916e-08
1.301671.6986494.348335e-08
1.307731.6985524.493426e-08
1.313811.6984554.639191e-08
1.319921.6983584.785635e-08
1.326061.698264.932759e-08
1.332231.6981635.080568e-08
1.338431.6980655.229064e-08
1.344651.6979685.378251e-08
1.350911.697875.528132e-08
1.357191.6977725.678710e-08
1.36351.6976745.829989e-08
1.369851.6975765.981971e-08
1.376221.6974786.134660e-08
1.382621.6973796.288059e-08
1.389051.6972816.442172e-08
1.395511.6971826.597002e-08
1.41.6971136.704600e-08
1.4021.6970836.714183e-08
1.408521.6969846.745413e-08
1.415071.6968846.776788e-08
1.421661.6967856.808309e-08
1.428271.6966856.839977e-08
1.434911.6965856.871792e-08
1.441591.6964846.903754e-08
1.448291.6963846.935866e-08
1.455031.6962836.968127e-08
1.46181.6961827.000538e-08
1.468591.696087.033100e-08
1.475431.6959787.065813e-08
1.482291.6958767.098679e-08
1.489181.6957747.131697e-08
1.496111.6956717.164869e-08
1.503071.6955687.198195e-08
1.510061.6954657.231676e-08
1.517081.6953617.265313e-08
1.524141.6952577.299107e-08
1.531231.6951537.333057e-08
1.538351.6950487.367166e-08
1.545511.6949437.401433e-08
1.55271.6948377.435859e-08
1.559921.6947317.470446e-08
1.567171.6946247.505193e-08
1.574461.6945177.540102e-08
1.581791.694417.575174e-08
1.589141.6943027.610409e-08
1.596541.6941947.645807e-08
1.61.6941437.662400e-08
1.603961.6940857.910622e-08
1.611421.6939768.378123e-08
1.618921.6938668.847798e-08
1.626451.6937569.319658e-08
1.634011.6936459.793713e-08
1.641611.6935341.026997e-07
1.649251.6934221.074845e-07
1.656921.6933091.122915e-07
1.664631.6931961.171208e-07
1.672371.6930831.219727e-07
1.680151.6929691.268471e-07
1.687961.6928541.317441e-07
1.695811.6927381.366640e-07
1.70371.6926231.416067e-07
1.711631.6925061.465724e-07
1.719591.6923891.515612e-07
1.727591.6922711.565732e-07
1.735621.6921521.616086e-07
1.743691.6920331.666673e-07
1.751811.6919131.717496e-07
1.759951.6917921.768555e-07
1.768141.6916711.819852e-07
1.776361.6915491.871387e-07
1.784631.6914261.923162e-07
1.792931.6913031.975178e-07
1.81.6911972.019500e-07
1.801271.6911782.033262e-07
1.809641.6910532.124304e-07
1.818061.6909282.215770e-07
1.826521.6908012.307662e-07
1.835011.6906732.399981e-07
1.843551.6905452.492729e-07
1.852121.6904162.585909e-07
1.860741.6902862.679522e-07
1.869391.6901552.773571e-07
1.878091.6900242.868057e-07
1.886821.6898912.962983e-07
1.89561.6897573.058350e-07
1.904421.6896233.154160e-07
1.913281.6894883.250417e-07
1.922181.6893513.347121e-07
1.931121.6892143.444274e-07
1.94011.6890763.541880e-07
1.949121.6889373.639940e-07
1.958191.6887973.738456e-07
1.96731.6886553.837430e-07
1.976451.6885133.936864e-07
1.985641.688374.036761e-07
1.994881.6882264.137123e-07
21.6881454.192800e-07
2.004161.688084.342366e-07
2.013481.6879344.677920e-07
2.022841.6877865.015035e-07
2.032251.6876375.353718e-07
2.04171.6874885.693976e-07
2.05121.6873376.035817e-07
2.060741.6871846.379249e-07
2.070331.6870316.724277e-07
2.079961.6868777.070910e-07
2.089631.6867217.419156e-07
2.099351.6865647.769021e-07
2.109121.6864068.120514e-07
2.118931.6862468.473642e-07
2.128781.6860858.828412e-07
2.138681.6859239.184832e-07
2.148631.685769.542910e-07
2.158621.6855959.902654e-07
2.168671.6854291.026407e-06
2.178751.6852621.062717e-06
2.188891.6850931.099196e-06
2.199071.6849231.135844e-06
2.21.6849071.139200e-06
2.20931.6847511.206821e-06
2.219571.6845781.281570e-06
2.22991.6844041.356666e-06
2.240271.6842281.432112e-06
2.250691.684051.507909e-06
2.261161.6838711.584058e-06
2.271671.6836911.660562e-06
2.282241.6835091.737421e-06
2.292861.6833251.814638e-06
2.303521.683141.892214e-06
2.314241.6829531.970151e-06
2.3251.6827642.048450e-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
—