Optical constants

Refractive index of H-ZBAF3 (CDGM)

H-ZBAF3: 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
1.65691
Extinction coefficient k
4.22739e-08
Permittivity ε1
2.74534
Permittivity ε2
1.40088e-07
Absorption coefficient α
0.00904067 cm⁻¹
Penetration depth δ = λ/(2πk)
2.21222e+09 nm
Abbe number Vd
51.121
Chromatic dispersion dn/dλ
-0.065919 µm⁻¹
Group index ng
1.69564
Group velocity dispersion
120.469 fs²/mm
Dispersion parameter D
-657.222 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-ZBAF3 (CDGM): H-ZBAF3
cdgm_h_zbaf3 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZBAF3", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zbaf3.range_nm)  # (365, 2325) nm
eps = cdgm_h_zbaf3.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=0.175551746λ2λ2−0.0360804664+1.51566987λ2λ2−0.00823043679+1.11140587λ2λ2−113.991537

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.175551746
C30.0360804664
C41.51566987
C50.00823043679
C61.11140587
C7113.991537

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -8.53e-07 1.64e-08 -5.14e-11 4.62e-07 2.21e-10 0.257
nd
1.656910
Vd
51.121380
glass code
657511
density
value: 3770
thermal expansion
value: 7.5e-06, temperature range: 243 343; value: 9e-06, temperature range: 293 573
dPgF
-0.0006
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 2.77e-07 K⁻¹ at 633 nm, dn/dT = -2.95e-07 K⁻¹ at 1310 nm, dn/dT = -3.36e-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-ZBAF3 (CDGM), H-ZBAF3: n and k versus wavelength
λ (µm)nk
0.3651.6896521.146030e-06
0.3666981.6891141.005298e-06
0.3684031.6885838.639112e-07
0.371.6880947.315600e-07
0.3701171.6880587.275258e-07
0.3718381.687546.681328e-07
0.3735681.6870296.084635e-07
0.3753061.6865235.485168e-07
0.3770511.6860244.882911e-07
0.3788051.6855314.277854e-07
0.381.68523.865600e-07
0.3805671.6850443.777912e-07
0.3823371.6845633.504159e-07
0.3841161.6840873.229134e-07
0.3859021.6836172.952828e-07
0.3876971.6831532.675238e-07
0.38951.6826952.396357e-07
0.391.6825692.319100e-07
0.3913121.6822422.211492e-07
0.3931321.6817942.062223e-07
0.3949611.6813511.912261e-07
0.3967981.6809141.761601e-07
0.3986441.6804821.610240e-07
0.41.6801691.499000e-07
0.4004981.6800551.483605e-07
0.4023611.6796331.425995e-07
0.4042321.6792161.368116e-07
0.4061121.6788031.309969e-07
0.4080011.6783961.251550e-07
0.4098991.6779931.192861e-07
0.4118061.6775941.133898e-07
0.4137211.67721.074661e-07
0.4156451.6768111.015148e-07
0.4175791.6764269.553590e-08
0.4195211.6760468.952915e-08
0.421.6759538.804800e-08
0.4214721.6756698.703683e-08
0.4234331.6752978.569052e-08
0.4254021.6749298.433795e-08
0.4273811.6745668.297909e-08
0.4293691.6742068.161390e-08
0.4313661.673858.024237e-08
0.4333721.6734997.886446e-08
0.4353881.6731517.748013e-08
0.4374131.6728077.608937e-08
0.4394481.6724667.469214e-08
0.441.6723757.431300e-08
0.4414921.672137.372943e-08
0.4435451.6717977.292619e-08
0.4456091.6714687.211922e-08
0.4476811.6711427.130850e-08
0.4497641.670827.049400e-08
0.4518561.6705016.967571e-08
0.4539571.6701866.885362e-08
0.4560691.6698746.802771e-08
0.458191.6695656.719795e-08
0.461.6693066.649000e-08
0.4603211.669266.634928e-08
0.4624621.6689586.541148e-08
0.4646131.6686596.446931e-08
0.4667751.6683646.352276e-08
0.4689461.6680716.257181e-08
0.4711271.6677826.161644e-08
0.4733181.6674956.065662e-08
0.475521.6672125.969233e-08
0.4777321.6669315.872357e-08
0.4799541.6666545.775029e-08
0.481.6666485.773000e-08
0.4821861.6663795.667029e-08
0.4844291.6661075.558309e-08
0.4866821.6658385.449083e-08
0.4889461.6655725.339349e-08
0.491221.6653095.229105e-08
0.4935051.6650485.118348e-08
0.49581.664795.007076e-08
0.4981071.6645344.895286e-08
0.51.6643274.803500e-08
0.5004231.6642814.796331e-08
0.5027511.6640314.756920e-08
0.5050891.6637834.717325e-08
0.5074391.6635384.677546e-08
0.5097991.6632954.637582e-08
0.512171.6630554.597432e-08
0.5145531.6628174.557095e-08
0.5169461.6625814.516571e-08
0.519351.6623484.475858e-08
0.5217661.6621174.434956e-08
0.5241931.6618884.393864e-08
0.5266311.6616624.352580e-08
0.5290811.6614384.311105e-08
0.5315421.6612164.269436e-08
0.5340141.6609964.227574e-08
0.5364981.6607784.185517e-08
0.5389931.6605634.143265e-08
0.54151.6603494.100815e-08
0.5440191.6601384.058169e-08
0.5465491.6599284.015324e-08
0.5490921.6597213.972280e-08
0.551.6596483.956900e-08
0.5516461.6595163.968739e-08
0.5542121.6593123.987198e-08
0.5567891.6591114.005743e-08
0.5593791.6589124.024374e-08
0.5619811.6587144.043092e-08
0.5645951.6585184.061897e-08
0.5672211.6583244.080789e-08
0.5698591.6581324.099769e-08
0.572511.6579424.118838e-08
0.5751731.6577534.137995e-08
0.5778481.6575674.157241e-08
0.5805361.6573824.176577e-08
0.5832361.6571984.196002e-08
0.5859491.6570174.215518e-08
0.5886751.6568374.235125e-08
0.5914131.6566594.254823e-08
0.5941641.6564824.274613e-08
0.5969271.6563074.294495e-08
0.5997041.6561334.314469e-08
0.61.6561154.316600e-08
0.6024931.6559624.334541e-08
0.6052961.6557914.354707e-08
0.6081111.6556224.374967e-08
0.610941.6554554.395321e-08
0.6137811.6552894.415770e-08
0.6166361.6551254.436313e-08
0.6195041.6549624.456953e-08
0.6223861.6548014.477688e-08
0.6252811.6546414.498520e-08
0.6281891.6544824.519449e-08
0.6311111.6543254.540475e-08
0.6340471.6541694.561599e-08
0.6369961.6540154.582821e-08
0.6399591.6538624.604142e-08
0.6429351.653714.625562e-08
0.6459261.6535594.647082e-08
0.648931.653414.668701e-08
0.651.6533574.676400e-08
0.6519491.6532624.668524e-08
0.6549811.6531154.656267e-08
0.6580281.652974.643953e-08
0.6610881.6528264.631581e-08
0.6641631.6526834.619153e-08
0.6672521.6525414.606666e-08
0.6703561.65244.594121e-08
0.6734741.6522614.581518e-08
0.6766071.6521224.568856e-08
0.6797541.6519854.556135e-08
0.6829151.6518494.543356e-08
0.6860921.6517144.530516e-08
0.6892831.651584.517617e-08
0.6924891.6514474.504658e-08
0.695711.6513154.491639e-08
0.6989461.6511854.478559e-08
0.71.6511424.474300e-08
0.7021971.6510554.460169e-08
0.7054631.6509264.439165e-08
0.7087451.6507984.418062e-08
0.7120411.6506724.396862e-08
0.7153531.6505464.375563e-08
0.7186811.6504214.354165e-08
0.7220231.6502974.332667e-08
0.7253821.6501754.311069e-08
0.7287561.6500534.289371e-08
0.7321461.6499324.267572e-08
0.7355511.6498124.245672e-08
0.7389721.6496924.223669e-08
0.7424091.6495744.201565e-08
0.7458631.6494574.179357e-08
0.7493321.649344.157046e-08
0.7528171.6492244.134632e-08
0.7563191.6491094.112113e-08
0.7598371.6489954.089490e-08
0.7633711.6488824.066761e-08
0.7669221.6487694.043926e-08
0.7704891.6486584.020986e-08
0.7740731.6485473.997938e-08
0.7776731.6484363.974784e-08
0.781291.6483273.951521e-08
0.7849241.6482183.928151e-08
0.7885751.648113.904672e-08
0.7922431.6480033.881083e-08
0.7959281.6478973.857385e-08
0.799631.6477913.833577e-08
0.81.647783.831200e-08
0.803351.6476863.756158e-08
0.8070861.6475813.672450e-08
0.810841.6474773.588352e-08
0.8146121.6473743.503863e-08
0.8184011.6472723.418981e-08
0.8222081.647173.333705e-08
0.8260321.6470693.248031e-08
0.8298741.6469683.161960e-08
0.8337341.6468683.075487e-08
0.8376121.6467692.988613e-08
0.8415081.646672.901335e-08
0.8454221.6465722.813650e-08
0.8493551.6464742.725558e-08
0.851.6464582.711100e-08
0.8533051.6463772.626664e-08
0.8572741.6462812.525272e-08
0.8612621.6461852.423408e-08
0.8652681.6460892.321071e-08
0.8692921.6459942.218257e-08
0.8733361.64592.114965e-08
0.8773981.6458062.011193e-08
0.8814791.6457121.906938e-08
0.8855791.6456191.802198e-08
0.8896981.6455271.696971e-08
0.8938361.6454351.591255e-08
0.8979941.6453431.485047e-08
0.91.64531.433800e-08
0.9021711.6452521.437260e-08
0.9063671.6451621.443949e-08
0.9105831.6450721.450669e-08
0.9148181.6449821.457420e-08
0.9190731.6448921.464203e-08
0.9233481.6448031.471017e-08
0.9276431.6447151.477863e-08
0.9319581.6446271.484741e-08
0.9362931.6445391.491651e-08
0.9406481.6444521.498593e-08
0.9450231.6443651.505567e-08
0.9494191.6442781.512573e-08
0.951.6442661.513500e-08
0.9538351.6441921.519605e-08
0.9582711.6441061.526668e-08
0.9627291.644021.533764e-08
0.9672071.6439351.540893e-08
0.9717051.643851.548055e-08
0.9762251.6437651.555250e-08
0.9807661.643681.562479e-08
0.9853281.6435961.569742e-08
0.9899111.6435131.577038e-08
0.9945151.6434291.584368e-08
0.9991411.6433461.591732e-08
11.643331.593100e-08
1.003791.6432631.599136e-08
1.008461.643181.606575e-08
1.013151.6430971.614049e-08
1.017861.6430151.621558e-08
1.022591.6429331.629101e-08
1.027351.6428511.636680e-08
1.032131.642771.644293e-08
1.036931.6426881.651943e-08
1.041751.6426071.659628e-08
1.04661.6425261.667348e-08
1.051471.6424451.675105e-08
1.056361.6423651.682897e-08
1.061.6423051.688700e-08
1.061271.6422841.690726e-08
1.066211.6422041.698593e-08
1.071171.6421241.706496e-08
1.076151.6420441.714435e-08
1.081151.6419641.722412e-08
1.086181.6418841.730426e-08
1.091241.6418051.738477e-08
1.096311.6417251.746565e-08
1.101411.6416461.754691e-08
1.106531.6415671.762855e-08
1.111681.6414881.771057e-08
1.116851.6414091.779297e-08
1.122051.641331.787576e-08
1.127271.6412511.795892e-08
1.132511.6411721.804248e-08
1.137781.6410931.812642e-08
1.143071.6410141.821076e-08
1.148391.6409361.829549e-08
1.153731.6408571.838061e-08
1.159091.6407781.846612e-08
1.164481.64071.855204e-08
1.16991.6406211.863835e-08
1.175341.6405431.872507e-08
1.180811.6404641.881219e-08
1.18631.6403851.889971e-08
1.191821.6403071.898764e-08
1.197361.6402281.907598e-08
1.21.6401911.911800e-08
1.202931.640151.965653e-08
1.208531.6400712.068398e-08
1.214151.6399922.171621e-08
1.21981.6399142.275325e-08
1.225471.6398352.379510e-08
1.231171.6397562.484181e-08
1.23691.6396772.589338e-08
1.242651.6395982.694984e-08
1.248431.6395192.801122e-08
1.254241.6394392.907753e-08
1.260071.639363.014881e-08
1.265931.6392813.122506e-08
1.271821.6392013.230632e-08
1.277741.6391223.339262e-08
1.283681.6390423.448396e-08
1.289651.6389623.558038e-08
1.295651.6388823.668190e-08
1.301671.6388023.778855e-08
1.307731.6387213.890034e-08
1.313811.6386414.001730e-08
1.319921.638564.113946e-08
1.326061.6384794.226684e-08
1.332231.6383984.339946e-08
1.338431.6383174.453735e-08
1.344651.6382354.568053e-08
1.350911.6381534.682903e-08
1.357191.6380714.798287e-08
1.36351.6379894.914208e-08
1.369851.6379075.030668e-08
1.376221.6378245.147670e-08
1.382621.6377415.265216e-08
1.389051.6376585.383308e-08
1.395511.6375755.501950e-08
1.41.6375175.584400e-08
1.4021.6374915.618013e-08
1.408521.6374075.727555e-08
1.415071.6373235.837607e-08
1.421661.6372385.948171e-08
1.428271.6371536.059250e-08
1.434911.6370686.170845e-08
1.441591.6369836.282959e-08
1.448291.6368976.395594e-08
1.455031.636816.508754e-08
1.46181.6367246.622439e-08
1.468591.6366376.736654e-08
1.475431.636556.851400e-08
1.482291.6364626.966679e-08
1.489181.6363747.082495e-08
1.496111.6362867.198849e-08
1.503071.6361977.315745e-08
1.510061.6361087.433184e-08
1.517081.6360187.551170e-08
1.524141.6359287.669704e-08
1.531231.6358377.788790e-08
1.538351.6357477.908429e-08
1.545511.6356558.028625e-08
1.55271.6355638.149381e-08
1.559921.6354718.270697e-08
1.567171.6353788.392579e-08
1.574461.6352858.515027e-08
1.581791.6351918.638044e-08
1.589141.6350978.761634e-08
1.596541.6350028.885799e-08
1.61.6349588.944000e-08
1.603961.6349079.282170e-08
1.611421.6348119.919077e-08
1.618921.6347151.055895e-07
1.626451.6346181.120179e-07
1.634011.634521.184763e-07
1.641611.6344221.249647e-07
1.649251.6343241.314833e-07
1.656921.6342241.380322e-07
1.664631.6341251.446115e-07
1.672371.6340241.512215e-07
1.680151.6339231.578622e-07
1.687961.6338211.645338e-07
1.695811.6337191.712365e-07
1.70371.6336161.779703e-07
1.711631.6335131.847354e-07
1.719591.6334081.915320e-07
1.727591.6333031.983602e-07
1.735621.6331982.052202e-07
1.743691.6330912.121120e-07
1.751811.6329842.190360e-07
1.759951.6328762.259921e-07
1.768141.6327682.329806e-07
1.776361.6326592.400016e-07
1.784631.6325492.470553e-07
1.792931.6324382.541417e-07
1.81.6323432.601800e-07
1.801271.6323262.621230e-07
1.809641.6322142.749769e-07
1.818061.6321012.878907e-07
1.826521.6319873.008645e-07
1.835011.6318723.138987e-07
1.843551.6317573.269935e-07
1.852121.631643.401492e-07
1.860741.6315233.533661e-07
1.869391.6314053.666444e-07
1.878091.6312863.799845e-07
1.886821.6311663.933867e-07
1.89561.6310454.068512e-07
1.904421.6309234.203784e-07
1.913281.63084.339684e-07
1.922181.6306774.476217e-07
1.931121.6305524.613385e-07
1.94011.6304264.751191e-07
1.949121.63034.889638e-07
1.958191.6301725.028728e-07
1.96731.6300445.168466e-07
1.976451.6299145.308854e-07
1.985641.6297845.449895e-07
1.994881.6296525.591591e-07
21.6295795.670200e-07
2.004161.6295195.879466e-07
2.013481.6293856.348958e-07
2.022841.629256.820635e-07
2.032251.6291147.294505e-07
2.04171.6289777.770579e-07
2.05121.6288398.248868e-07
2.060741.62878.729381e-07
2.070331.6285599.212130e-07
2.079961.6284179.697124e-07
2.089631.6282741.018437e-06
2.099351.628131.067389e-06
2.109121.6279851.116568e-06
2.118931.6278381.165976e-06
2.128781.627691.215614e-06
2.138681.6275411.265483e-06
2.148631.6273911.315584e-06
2.158621.6272391.365917e-06
2.168671.6270861.416485e-06
2.178751.6269311.467288e-06
2.188891.6267751.518328e-06
2.199071.6266181.569604e-06
2.21.6266041.574300e-06
2.20931.626461.677293e-06
2.219571.62631.791143e-06
2.22991.6261381.905522e-06
2.240271.6259752.020433e-06
2.250691.6258112.135879e-06
2.261161.6256452.251862e-06
2.271671.6254782.368384e-06
2.282241.6253092.485448e-06
2.292861.6251392.603057e-06
2.303521.6249672.721212e-06
2.314241.6247932.839918e-06
2.3251.6246182.959175e-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
—