Optical constants

Refractive index of H-ZBAF16 (CDGM)

H-ZBAF16: 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
1.66672
Extinction coefficient k
2.34385e-08
Permittivity ε1
2.77795
Permittivity ε2
7.81307e-08
Absorption coefficient α
0.00501254 cm⁻¹
Penetration depth δ = λ/(2πk)
3.98999e+09 nm
Abbe number Vd
48.422
Chromatic dispersion dn/dλ
-0.0705338 µm⁻¹
Group index ng
1.70816
Group velocity dispersion
130.334 fs²/mm
Dispersion parameter D
-711.043 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-ZBAF16 (CDGM): H-ZBAF16
cdgm_h_zbaf16 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZBAF16", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zbaf16.range_nm)  # (365, 2325) nm
eps = cdgm_h_zbaf16.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=0.18224764λ2λ2−0.0368484589+1.53664805λ2λ2−0.0088564742+1.2307217λ2λ2−134.124694

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.18224764
C30.0368484589
C41.53664805
C50.0088564742
C61.2307217
C7134.124694

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 2.86e-06 1.56e-08 -3.67e-11 7.03e-07 3.95e-10 0.198
nd
1.666720
Vd
48.421731
glass code
667484
density
value: 3590
thermal expansion
value: 7.1e-06, temperature range: 243 343; value: 8.8e-06, temperature range: 293 573
dPgF
-0.0026
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 2.55e-06 K⁻¹ at 633 nm, dn/dT = 1.71e-06 K⁻¹ at 1310 nm, dn/dT = 1.64e-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-ZBAF16 (CDGM), H-ZBAF16: n and k versus wavelength
λ (µm)nk
0.3651.7019939.146000e-07
0.3666981.7014118.061147e-07
0.3684031.7008366.971248e-07
0.371.7003075.951000e-07
0.3701171.7002695.919455e-07
0.3718381.6997095.455036e-07
0.3735681.6991564.988457e-07
0.3753061.6986094.519708e-07
0.3770511.698074.048778e-07
0.3788051.6975373.575658e-07
0.381.6971783.253300e-07
0.3805671.697013.181466e-07
0.3823371.696492.957206e-07
0.3841161.6959762.731904e-07
0.3859021.6954692.505553e-07
0.3876971.6949672.278150e-07
0.38951.6944722.049689e-07
0.391.6943361.986400e-07
0.3913121.6939831.896256e-07
0.3931321.6934991.771214e-07
0.3949611.6930211.645590e-07
0.3967981.6925491.519381e-07
0.3986441.6920821.392586e-07
0.41.6917441.299400e-07
0.4004981.6916211.285564e-07
0.4023611.6911661.233786e-07
0.4042321.6907151.181767e-07
0.4061121.690271.129506e-07
0.4080011.689831.077003e-07
0.4098991.6893951.024255e-07
0.4118061.6889659.712615e-08
0.4137211.6885419.180217e-08
0.4156451.688128.645343e-08
0.4175791.6877058.107981e-08
0.4195211.6872957.568120e-08
0.421.6871957.435000e-08
0.4214721.6868897.355851e-08
0.4234331.6864887.250470e-08
0.4254021.6860917.144598e-08
0.4273811.6856997.038233e-08
0.4293691.6853116.931374e-08
0.4313661.6849286.824018e-08
0.4333721.6845486.716163e-08
0.4353881.6841736.607806e-08
0.4374131.6838036.498945e-08
0.4394481.6834366.389577e-08
0.441.6833376.359900e-08
0.4414921.6830736.298171e-08
0.4435451.6827146.213207e-08
0.4456091.682366.127847e-08
0.4476811.6820096.042090e-08
0.4497641.6816625.955934e-08
0.4518561.6813195.869378e-08
0.4539571.6809795.782419e-08
0.4560691.6806435.695055e-08
0.458191.6803115.607285e-08
0.461.6800315.532400e-08
0.4603211.6799825.511398e-08
0.4624621.6796575.371434e-08
0.4646131.6793355.230819e-08
0.4667751.6790175.089550e-08
0.4689461.6787024.947624e-08
0.4711271.6783914.805037e-08
0.4733181.6780834.661788e-08
0.475521.6777784.517872e-08
0.4777321.6774764.373286e-08
0.4799541.6771784.228028e-08
0.481.6771714.225000e-08
0.4821861.6768824.112514e-08
0.4844291.676593.997111e-08
0.4866821.67633.881170e-08
0.4889461.6760143.764691e-08
0.491221.6757313.647669e-08
0.4935051.6754513.530103e-08
0.49581.6751733.411991e-08
0.4981071.6748983.293329e-08
0.51.6746763.195900e-08
0.5004231.6746273.187415e-08
0.5027511.6743583.140770e-08
0.5050891.6740913.093907e-08
0.5074391.6738283.046826e-08
0.5097991.6735672.999526e-08
0.512171.6733092.952007e-08
0.5145531.6730532.904266e-08
0.5169461.67282.856303e-08
0.519351.672552.808117e-08
0.5217661.6723022.759707e-08
0.5241931.6720562.711072e-08
0.5266311.6718132.662211e-08
0.5290811.6715732.613122e-08
0.5315421.6713342.563805e-08
0.5340141.6710982.514258e-08
0.5364981.6708652.464482e-08
0.5389931.6706342.414473e-08
0.54151.6704052.364232e-08
0.5440191.6701782.313757e-08
0.5465491.6699532.263048e-08
0.5490921.6697312.212103e-08
0.551.6696532.193900e-08
0.5516461.6695112.200463e-08
0.5542121.6692932.210696e-08
0.5567891.6690772.220976e-08
0.5593791.6688632.231304e-08
0.5619811.6686522.241680e-08
0.5645951.6684422.252105e-08
0.5672211.6682342.262578e-08
0.5698591.6680282.273100e-08
0.572511.6678252.283670e-08
0.5751731.6676232.294290e-08
0.5778481.6674232.304959e-08
0.5805361.6672252.315678e-08
0.5832361.6670292.326447e-08
0.5859491.6668342.337265e-08
0.5886751.6666422.348134e-08
0.5914131.6664512.359054e-08
0.5941641.6662622.370024e-08
0.5969271.6660752.381046e-08
0.5997041.6658892.392119e-08
0.61.665872.393300e-08
0.6024931.6657062.403248e-08
0.6052961.6655242.414429e-08
0.6081111.6653432.425663e-08
0.610941.6651642.436949e-08
0.6137811.6649872.448287e-08
0.6166361.6648122.459678e-08
0.6195041.6646382.471122e-08
0.6223861.6644652.482619e-08
0.6252811.6642952.494170e-08
0.6281891.6641252.505775e-08
0.6311111.6639582.517433e-08
0.6340471.6637912.529146e-08
0.6369961.6636262.540913e-08
0.6399591.6634632.552735e-08
0.6429351.6633012.564612e-08
0.6459261.6631412.576544e-08
0.648931.6629822.588531e-08
0.651.6629252.592800e-08
0.6519491.6628242.578763e-08
0.6549811.6626682.556917e-08
0.6580281.6625132.534970e-08
0.6610881.6623592.512921e-08
0.6641631.6622072.490769e-08
0.6672521.6620562.468514e-08
0.6703561.6619062.446155e-08
0.6734741.6617572.423693e-08
0.6766071.661612.401126e-08
0.6797541.6614642.378454e-08
0.6829151.6613192.355677e-08
0.6860921.6611762.332794e-08
0.6892831.6610332.309804e-08
0.6924891.6608922.286707e-08
0.695711.6607522.263503e-08
0.6989461.6606132.240191e-08
0.71.6605692.232600e-08
0.7021971.6604762.211548e-08
0.7054631.6603392.180255e-08
0.7087451.6602042.148816e-08
0.7120411.6600692.117232e-08
0.7153531.6599362.085500e-08
0.7186811.6598032.053621e-08
0.7220231.6596722.021593e-08
0.7253821.6595421.989417e-08
0.7287561.6594131.957090e-08
0.7321461.6592851.924614e-08
0.7355511.6591571.891986e-08
0.7389721.6590311.859207e-08
0.7424091.6589061.826275e-08
0.7458631.6587821.793190e-08
0.7493321.6586581.759951e-08
0.7528171.6585361.726557e-08
0.7563191.6584151.693009e-08
0.7598371.6582941.659304e-08
0.7633711.6581741.625442e-08
0.7669221.6580551.591423e-08
0.7704891.6579381.557245e-08
0.7740731.657821.522909e-08
0.7776731.6577041.488413e-08
0.781291.6575891.453756e-08
0.7849241.6574741.418939e-08
0.7885751.6573611.383959e-08
0.7922431.6572481.348817e-08
0.7959281.6571351.313511e-08
0.799631.6570241.278041e-08
0.81.6570131.274500e-08
0.803351.6569131.279840e-08
0.8070861.6568041.285796e-08
0.810841.6566941.291780e-08
0.8146121.6565861.297791e-08
0.8184011.6564781.303831e-08
0.8222081.6563711.309899e-08
0.8260321.6562651.315995e-08
0.8298741.656161.322119e-08
0.8337341.6560551.328272e-08
0.8376121.6559511.334454e-08
0.8415081.6558471.340664e-08
0.8454221.6557441.346903e-08
0.8493551.6556421.353171e-08
0.851.6556251.354200e-08
0.8533051.655541.359462e-08
0.8572741.6554391.365781e-08
0.8612621.6553391.372129e-08
0.8652681.6552391.378506e-08
0.8692921.655141.384913e-08
0.8733361.6550411.391350e-08
0.8773981.6549431.397817e-08
0.8814791.6548461.404315e-08
0.8855791.6547491.410842e-08
0.8896981.6546521.417399e-08
0.8938361.6545571.423988e-08
0.8979941.6544611.430606e-08
0.91.6544161.433800e-08
0.9021711.6543671.437260e-08
0.9063671.6542721.443949e-08
0.9105831.6541781.450669e-08
0.9148181.6540851.457420e-08
0.9190731.6539921.464203e-08
0.9233481.65391.471017e-08
0.9276431.6538081.477863e-08
0.9319581.6537171.484741e-08
0.9362931.6536261.491651e-08
0.9406481.6535351.498593e-08
0.9450231.6534451.505567e-08
0.9494191.6533551.512573e-08
0.951.6533441.513500e-08
0.9538351.6532661.519605e-08
0.9582711.6531771.526668e-08
0.9627291.6530891.533764e-08
0.9672071.6530011.540893e-08
0.9717051.6529131.548055e-08
0.9762251.6528261.555250e-08
0.9807661.6527391.562479e-08
0.9853281.6526521.569742e-08
0.9899111.6525661.577038e-08
0.9945151.652481.584368e-08
0.9991411.6523941.591732e-08
11.6523781.593100e-08
1.003791.6523091.599136e-08
1.008461.6522241.606575e-08
1.013151.6521391.614049e-08
1.017861.6520551.621558e-08
1.022591.6519711.629101e-08
1.027351.6518871.636680e-08
1.032131.6518031.644293e-08
1.036931.651721.651943e-08
1.041751.6516371.659628e-08
1.04661.6515541.667348e-08
1.051471.6514721.675105e-08
1.056361.651391.682897e-08
1.061.6513291.688700e-08
1.061271.6513081.690726e-08
1.066211.6512261.698593e-08
1.071171.6511441.706496e-08
1.076151.6510631.714435e-08
1.081151.6509811.722412e-08
1.086181.65091.730426e-08
1.091241.650821.738477e-08
1.096311.6507391.746565e-08
1.101411.6506581.754691e-08
1.106531.6505781.762855e-08
1.111681.6504981.771057e-08
1.116851.6504181.779297e-08
1.122051.6503381.787576e-08
1.127271.6502581.795892e-08
1.132511.6501781.804248e-08
1.137781.6500991.812642e-08
1.143071.6500191.821076e-08
1.148391.649941.829549e-08
1.153731.6498611.838061e-08
1.159091.6497821.846612e-08
1.164481.6497031.855204e-08
1.16991.6496241.863835e-08
1.175341.6495451.872507e-08
1.180811.6494661.881219e-08
1.18631.6493871.889971e-08
1.191821.6493081.898764e-08
1.197361.6492291.907598e-08
1.21.6491921.911800e-08
1.202931.6491511.916472e-08
1.208531.6490721.925385e-08
1.214151.6489931.934340e-08
1.21981.6489151.943336e-08
1.225471.6488361.952374e-08
1.231171.6487571.961454e-08
1.23691.6486781.970577e-08
1.242651.64861.979742e-08
1.248431.6485211.988949e-08
1.254241.6484421.998199e-08
1.260071.6483632.007493e-08
1.265931.6482842.016829e-08
1.271821.6482052.026209e-08
1.277741.6481262.035633e-08
1.283681.6480472.045101e-08
1.289651.6479682.054612e-08
1.295651.6478892.064168e-08
1.301671.6478092.073768e-08
1.307731.647732.083413e-08
1.313811.647652.093103e-08
1.319921.647572.102837e-08
1.326061.6474912.112617e-08
1.332231.6474112.122443e-08
1.338431.6473312.132314e-08
1.344651.647252.142231e-08
1.350911.647172.152195e-08
1.357191.6470892.162204e-08
1.36351.6470082.172260e-08
1.369851.6469282.182363e-08
1.376221.6468462.192513e-08
1.382621.6467652.202711e-08
1.389051.6466842.212955e-08
1.395511.6466022.223247e-08
1.41.6465452.230400e-08
1.4021.646522.259142e-08
1.408521.6464382.352812e-08
1.415071.6463552.446918e-08
1.421661.6462732.541462e-08
1.428271.646192.636445e-08
1.434911.6461072.731870e-08
1.441591.6460232.827739e-08
1.448291.645942.924054e-08
1.455031.6458563.020816e-08
1.46181.6457723.118029e-08
1.468591.6456873.215694e-08
1.475431.6456023.313814e-08
1.482291.6455173.412389e-08
1.489181.6454323.511424e-08
1.496111.6453463.610918e-08
1.503071.645263.710876e-08
1.510061.6451733.811299e-08
1.517081.6450863.912188e-08
1.524141.6449994.013547e-08
1.531231.6449124.115378e-08
1.538351.6448244.217682e-08
1.545511.6447364.320462e-08
1.55271.6446474.423720e-08
1.559921.6445584.527458e-08
1.567171.6444684.631679e-08
1.574461.6443784.736384e-08
1.581791.6442884.841577e-08
1.589141.6441974.947258e-08
1.596541.6441065.053432e-08
1.61.6440635.103200e-08
1.603961.6440145.430908e-08
1.611421.6439226.048113e-08
1.618921.643836.668187e-08
1.626451.6437377.291147e-08
1.634011.6436437.917003e-08
1.641611.6435498.545771e-08
1.649251.6434559.177463e-08
1.656921.6433599.812094e-08
1.664631.6432641.044968e-07
1.672371.6431681.109022e-07
1.680151.6430711.173375e-07
1.687961.6429741.238027e-07
1.695811.6428761.302980e-07
1.70371.6427781.368235e-07
1.711631.6426791.433793e-07
1.719591.6425791.499657e-07
1.727591.6424791.565826e-07
1.735621.6423791.632304e-07
1.743691.6422771.699091e-07
1.751811.6421751.766188e-07
1.759951.6420731.833597e-07
1.768141.6419691.901320e-07
1.776361.6418651.969358e-07
1.784631.6417612.037713e-07
1.792931.6416562.106385e-07
1.81.6415662.164900e-07
1.801271.641552.178776e-07
1.809641.6414432.270577e-07
1.818061.6413362.362805e-07
1.826521.6412282.455462e-07
1.835011.6411192.548550e-07
1.843551.6410092.642071e-07
1.852121.6408992.736026e-07
1.860741.6407882.830419e-07
1.869391.6406762.925251e-07
1.878091.6405633.020524e-07
1.886821.640453.116240e-07
1.89561.6403363.212401e-07
1.904421.6402213.309010e-07
1.913281.6401053.406068e-07
1.922181.6399883.503577e-07
1.931121.639873.601540e-07
1.94011.6397523.699959e-07
1.949121.6396333.798835e-07
1.958191.6395123.898172e-07
1.96731.6393913.997970e-07
1.976451.6392694.098233e-07
1.985641.6391464.198962e-07
1.994881.6390224.300159e-07
21.6389534.356300e-07
2.004161.6388974.479263e-07
2.013481.6387724.755133e-07
2.022841.6386455.032287e-07
2.032251.6385175.310729e-07
2.04171.6383885.590467e-07
2.05121.6382585.871506e-07
2.060741.6381276.153852e-07
2.070331.6379956.437511e-07
2.079961.6378626.722490e-07
2.089631.6377287.008794e-07
2.099351.6375937.296430e-07
2.109121.6374577.585403e-07
2.118931.637327.875721e-07
2.128781.6371818.167390e-07
2.138681.6370418.460415e-07
2.148631.6369018.754802e-07
2.158621.6367599.050560e-07
2.168671.6366159.347692e-07
2.178751.6364719.646207e-07
2.188891.6363269.946111e-07
2.199071.6361791.024741e-06
2.21.6361651.027500e-06
2.20931.6360311.083189e-06
2.219571.6358811.144749e-06
2.22991.6357311.206594e-06
2.240271.6355791.268728e-06
2.250691.6354251.331150e-06
2.261161.6352711.393863e-06
2.271671.6351151.456867e-06
2.282241.6349581.520165e-06
2.292861.6347991.583757e-06
2.303521.6346391.647644e-06
2.314241.6344771.711829e-06
2.3251.6343141.776312e-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
—