Optical constants

Refractive index of H-ZBAF5 (CDGM)

H-ZBAF5: 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
1.67103
Extinction coefficient k
5.17206e-08
Permittivity ε1
2.79233
Permittivity ε2
1.72853e-07
Absorption coefficient α
0.0110609 cm⁻¹
Penetration depth δ = λ/(2πk)
1.80817e+09 nm
Abbe number Vd
47.289
Chromatic dispersion dn/dλ
-0.0726083 µm⁻¹
Group index ng
1.71369
Group velocity dispersion
134.943 fs²/mm
Dispersion parameter D
-736.186 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-ZBAF5 (CDGM): H-ZBAF5
cdgm_h_zbaf5 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZBAF5", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zbaf5.range_nm)  # (365, 2325) nm
eps = cdgm_h_zbaf5.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=0.265135611λ2λ2−0.0342928637+1.46645391λ2λ2−0.00799326644+1.68212208λ2λ2−179.124162

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.265135611
C30.0342928637
C41.46645391
C50.00799326644
C61.68212208
C7179.124162

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 3.26e-06 1.49e-08 -2.95e-11 6.99e-07 6.95e-10 0.209
nd
1.671030
Vd
47.288963
glass code
671473
density
value: 3580
thermal expansion
value: 6.8e-06, temperature range: 243 343; value: 8.5e-06, temperature range: 293 573
dPgF
-0.002
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 2.79e-06 K⁻¹ at 633 nm, dn/dT = 1.92e-06 K⁻¹ at 1310 nm, dn/dT = 1.85e-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-ZBAF5 (CDGM), H-ZBAF5: n and k versus wavelength
λ (µm)nk
0.3651.7075849.903100e-07
0.3666981.7069778.771423e-07
0.3684031.7063797.634483e-07
0.371.7058276.570200e-07
0.3701171.7057876.536171e-07
0.3718381.7052046.035187e-07
0.3735681.7046285.531872e-07
0.3753061.7040595.026217e-07
0.3770511.7034974.518209e-07
0.3788051.7029424.007839e-07
0.381.7025693.660100e-07
0.3805671.7023943.580271e-07
0.3823371.7018523.331052e-07
0.3841161.7013183.080675e-07
0.3859021.700792.829133e-07
0.3876971.7002682.576420e-07
0.38951.6997532.322533e-07
0.391.6996122.252200e-07
0.3913121.6992442.157752e-07
0.3931321.6987412.026740e-07
0.3949611.6982441.895118e-07
0.3967981.6977531.762884e-07
0.3986441.6972691.630035e-07
0.41.6969171.532400e-07
0.4004981.6967891.518740e-07
0.4023611.6963161.467623e-07
0.4042321.6958481.416267e-07
0.4061121.6953861.364673e-07
0.4080011.6949291.312839e-07
0.4098991.6944771.260764e-07
0.4118061.6940311.208447e-07
0.4137211.693591.155886e-07
0.4156451.6931541.103081e-07
0.4175791.6927231.050030e-07
0.4195211.6922979.967322e-08
0.421.6921939.835900e-08
0.4214721.6918769.737986e-08
0.4234331.691469.607619e-08
0.4254021.6910489.476645e-08
0.4273811.6906419.345062e-08
0.4293691.6902399.212868e-08
0.4313661.6898429.080058e-08
0.4333721.6894498.946631e-08
0.4353881.689068.812583e-08
0.4374131.6886768.677911e-08
0.4394481.6882958.542614e-08
0.441.6881938.505900e-08
0.4414921.687928.423053e-08
0.4435451.6875488.309021e-08
0.4456091.6871818.194458e-08
0.4476811.6868178.079363e-08
0.4497641.6864587.963732e-08
0.4518561.6861027.847563e-08
0.4539571.6857517.730854e-08
0.4560691.6854037.613602e-08
0.458191.6850597.495805e-08
0.461.684777.395300e-08
0.4603211.6847197.381712e-08
0.4624621.6843837.291154e-08
0.4646131.684057.200174e-08
0.4667751.6837217.108772e-08
0.4689461.6833957.016944e-08
0.4711271.6830736.924689e-08
0.4733181.6827546.832006e-08
0.475521.6824396.738891e-08
0.4777321.6821276.645343e-08
0.4799541.6818186.551359e-08
0.481.6818126.549400e-08
0.4821861.6815136.490824e-08
0.4844291.6812116.430728e-08
0.4866821.6809126.370352e-08
0.4889461.6806166.309696e-08
0.491221.6803236.248757e-08
0.4935051.6800346.187535e-08
0.49581.6797476.126029e-08
0.4981071.6794636.064236e-08
0.51.6792336.013500e-08
0.5004231.6791836.003573e-08
0.5027511.6789055.948994e-08
0.5050891.678635.894162e-08
0.5074391.6783585.839075e-08
0.5097991.6780885.783731e-08
0.512171.6778225.728130e-08
0.5145531.6775585.672271e-08
0.5169461.6772975.616151e-08
0.519351.6770385.559771e-08
0.5217661.6767825.503128e-08
0.5241931.6765295.446222e-08
0.5266311.6762785.389051e-08
0.5290811.676035.331615e-08
0.5315421.6757855.273911e-08
0.5340141.6755415.215939e-08
0.5364981.67535.157697e-08
0.5389931.6750625.099184e-08
0.54151.6748265.040399e-08
0.5440191.6745924.981340e-08
0.5465491.6743614.922007e-08
0.5490921.6741324.862398e-08
0.551.6740514.841100e-08
0.5516461.6739054.855585e-08
0.5542121.673684.878170e-08
0.5567891.6734584.900860e-08
0.5593791.6732374.923656e-08
0.5619811.6730194.946557e-08
0.5645951.6728034.969565e-08
0.5672211.6725894.992680e-08
0.5698591.6723775.015903e-08
0.572511.6721675.039234e-08
0.5751731.6719595.062673e-08
0.5778481.6717545.086221e-08
0.5805361.671555.109879e-08
0.5832361.6713485.133646e-08
0.5859491.6711485.157525e-08
0.5886751.6709495.181514e-08
0.5914131.6707535.205615e-08
0.5941641.6705595.229828e-08
0.5969271.6703665.254154e-08
0.5997041.6701755.278593e-08
0.61.6701555.281200e-08
0.6024931.6699865.277081e-08
0.6052961.6697995.272452e-08
0.6081111.6696135.267801e-08
0.610941.6694295.263128e-08
0.6137811.6692475.258433e-08
0.6166361.6690665.253717e-08
0.6195041.6688875.248979e-08
0.6223861.668715.244219e-08
0.6252811.6685355.239436e-08
0.6281891.668365.234632e-08
0.6311111.6681885.229805e-08
0.6340471.6680175.224955e-08
0.6369961.6678485.220083e-08
0.6399591.667685.215188e-08
0.6429351.6675135.210271e-08
0.6459261.6673485.205331e-08
0.648931.6671855.200367e-08
0.651.6671275.198600e-08
0.6519491.6670235.214184e-08
0.6549811.6668625.238438e-08
0.6580281.6667035.262804e-08
0.6610881.6665455.287283e-08
0.6641631.6663885.311877e-08
0.6672521.6662335.336585e-08
0.6703561.6660795.361407e-08
0.6734741.6659275.386345e-08
0.6766071.6657765.411400e-08
0.6797541.6656265.436570e-08
0.6829151.6654775.461858e-08
0.6860921.665335.487263e-08
0.6892831.6651835.512787e-08
0.6924891.6650385.538429e-08
0.695711.6648955.564191e-08
0.6989461.6647525.590072e-08
0.71.6647065.598500e-08
0.7021971.6646115.601950e-08
0.7054631.664475.607078e-08
0.7087451.6643315.612229e-08
0.7120411.6641935.617405e-08
0.7153531.6640565.622605e-08
0.7186811.6639215.627829e-08
0.7220231.6637865.633077e-08
0.7253821.6636525.638350e-08
0.7287561.663525.643647e-08
0.7321461.6633885.648968e-08
0.7355511.6632585.654315e-08
0.7389721.6631285.659686e-08
0.7424091.6635.665083e-08
0.7458631.6628725.670504e-08
0.7493321.6627465.675951e-08
0.7528171.662625.681423e-08
0.7563191.6624965.686921e-08
0.7598371.6623725.692444e-08
0.7633711.6622495.697993e-08
0.7669221.6621275.703567e-08
0.7704891.6620065.709168e-08
0.7740731.6618865.714794e-08
0.7776731.6617675.720447e-08
0.781291.6616495.726126e-08
0.7849241.6615315.731831e-08
0.7885751.6614155.737563e-08
0.7922431.6612995.743322e-08
0.7959281.6611845.749107e-08
0.799631.661075.754920e-08
0.81.6610595.755500e-08
0.803351.6609575.551538e-08
0.8070861.6608445.324021e-08
0.810841.6607325.095446e-08
0.8146121.6606214.865808e-08
0.8184011.6605114.635101e-08
0.8222081.6604014.403322e-08
0.8260321.6602924.170464e-08
0.8298741.6601843.936524e-08
0.8337341.6600773.701495e-08
0.8376121.659973.465373e-08
0.8415081.6598643.228153e-08
0.8454221.6597592.989829e-08
0.8493551.6596542.750397e-08
0.851.6596372.711100e-08
0.8533051.659552.674128e-08
0.8572741.6594462.629730e-08
0.8612621.6593442.585127e-08
0.8652681.6592412.540315e-08
0.8692921.659142.495296e-08
0.8733361.6590392.450067e-08
0.8773981.6589382.404627e-08
0.8814791.6588392.358976e-08
0.8855791.6587392.313113e-08
0.8896981.6586412.267037e-08
0.8938361.6585432.220746e-08
0.8979941.6584452.174240e-08
0.91.6583982.151800e-08
0.9021711.6583482.124087e-08
0.9063671.6582522.070517e-08
0.9105831.6581562.016698e-08
0.9148181.658061.962629e-08
0.9190731.6579651.908308e-08
0.9233481.6578711.853735e-08
0.9276431.6577771.798907e-08
0.9319581.6576831.743825e-08
0.9362931.657591.688486e-08
0.9406481.6574971.632890e-08
0.9450231.6574051.577035e-08
0.9494191.6573131.520921e-08
0.951.6573011.513500e-08
0.9538351.6572221.519605e-08
0.9582711.6571311.526668e-08
0.9627291.6570411.533764e-08
0.9672071.6569511.540893e-08
0.9717051.6568611.548055e-08
0.9762251.6567721.555250e-08
0.9807661.6566831.562479e-08
0.9853281.6565941.569742e-08
0.9899111.6565061.577038e-08
0.9945151.6564181.584368e-08
0.9991411.6563311.591732e-08
11.6563141.593100e-08
1.003791.6562431.599136e-08
1.008461.6561561.606575e-08
1.013151.656071.614049e-08
1.017861.6559841.621558e-08
1.022591.6558981.629101e-08
1.027351.6558121.636680e-08
1.032131.6557271.644293e-08
1.036931.6556421.651943e-08
1.041751.6555571.659628e-08
1.04661.6554721.667348e-08
1.051471.6553881.675105e-08
1.056361.6553041.682897e-08
1.061.6552421.688700e-08
1.061271.655221.690726e-08
1.066211.6551371.698593e-08
1.071171.6550531.706496e-08
1.076151.654971.714435e-08
1.081151.6548871.722412e-08
1.086181.6548041.730426e-08
1.091241.6547221.738477e-08
1.096311.6546391.746565e-08
1.101411.6545571.754691e-08
1.106531.6544751.762855e-08
1.111681.6543931.771057e-08
1.116851.6543121.779297e-08
1.122051.654231.787576e-08
1.127271.6541491.795892e-08
1.132511.6540671.804248e-08
1.137781.6539861.812642e-08
1.143071.6539051.821076e-08
1.148391.6538241.829549e-08
1.153731.6537431.838061e-08
1.159091.6536621.846612e-08
1.164481.6535821.855204e-08
1.16991.6535011.863835e-08
1.175341.6534211.872507e-08
1.180811.653341.881219e-08
1.18631.653261.889971e-08
1.191821.6531791.898764e-08
1.197361.6530991.907598e-08
1.21.6530611.911800e-08
1.202931.6530191.916472e-08
1.208531.6529391.925385e-08
1.214151.6528581.934340e-08
1.21981.6527781.943336e-08
1.225471.6526981.952374e-08
1.231171.6526181.961454e-08
1.23691.6525371.970577e-08
1.242651.6524571.979742e-08
1.248431.6523771.988949e-08
1.254241.6522971.998199e-08
1.260071.6522162.007493e-08
1.265931.6521362.016829e-08
1.271821.6520552.026209e-08
1.277741.6519752.035633e-08
1.283681.6518942.045101e-08
1.289651.6518142.054612e-08
1.295651.6517332.064168e-08
1.301671.6516522.073768e-08
1.307731.6515712.083413e-08
1.313811.651492.093103e-08
1.319921.6514092.102837e-08
1.326061.6513282.112617e-08
1.332231.6512462.122443e-08
1.338431.6511652.132314e-08
1.344651.6510832.142231e-08
1.350911.6510012.152195e-08
1.357191.6509192.162204e-08
1.36351.6508372.172260e-08
1.369851.6507542.182363e-08
1.376221.6506722.192513e-08
1.382621.6505892.202711e-08
1.389051.6505062.212955e-08
1.395511.6504232.223247e-08
1.41.6503662.230400e-08
1.4021.650342.246359e-08
1.408521.6502562.298368e-08
1.415071.6501732.350620e-08
1.421661.6500892.403115e-08
1.428271.6500042.455853e-08
1.434911.649922.508837e-08
1.441591.6498352.562068e-08
1.448291.649752.615546e-08
1.455031.6496652.669273e-08
1.46181.6495792.723249e-08
1.468591.6494932.777477e-08
1.475431.6494072.831957e-08
1.482291.6493212.886690e-08
1.489181.6492342.941678e-08
1.496111.6491472.996922e-08
1.503071.6490593.052423e-08
1.510061.6489713.108182e-08
1.517081.6488833.164200e-08
1.524141.6487953.220479e-08
1.531231.6487063.277019e-08
1.538351.6486173.333823e-08
1.545511.6485273.390891e-08
1.55271.6484373.448224e-08
1.559921.6483473.505824e-08
1.567171.6482563.563691e-08
1.574461.6481653.621828e-08
1.581791.6480733.680236e-08
1.589141.6479813.738915e-08
1.596541.6478883.797867e-08
1.61.6478453.825500e-08
1.603961.6477964.207333e-08
1.611421.6477024.926474e-08
1.618921.6476085.648960e-08
1.626451.6475146.374807e-08
1.634011.6474197.104030e-08
1.641611.6473247.836645e-08
1.649251.6472288.572668e-08
1.656921.6471329.312114e-08
1.664631.6470351.005500e-07
1.672371.6469371.080134e-07
1.680151.646841.155115e-07
1.687961.6467411.230445e-07
1.695811.6466421.306126e-07
1.70371.6465421.382158e-07
1.711631.6464421.458544e-07
1.719591.6463421.535285e-07
1.727591.646241.612384e-07
1.735621.6461381.689841e-07
1.743691.6460361.767658e-07
1.751811.6459331.845837e-07
1.759951.6458291.924380e-07
1.768141.6457242.003288e-07
1.776361.6456192.082563e-07
1.784631.6455142.162207e-07
1.792931.6454072.242221e-07
1.81.6453162.310400e-07
1.801271.64532.324391e-07
1.809641.6451922.416950e-07
1.818061.6450842.509940e-07
1.826521.6449752.603362e-07
1.835011.6448652.697219e-07
1.843551.6447542.791512e-07
1.852121.6446432.886244e-07
1.860741.644532.981416e-07
1.869391.6444173.077031e-07
1.878091.6443043.173091e-07
1.886821.6441893.269598e-07
1.89561.6440743.366553e-07
1.904421.6439583.463960e-07
1.913281.6438413.561820e-07
1.922181.6437233.660134e-07
1.931121.6436043.758906e-07
1.94011.6434853.858138e-07
1.949121.6433653.957831e-07
1.958191.6432434.057988e-07
1.96731.6431214.158610e-07
1.976451.6429984.259701e-07
1.985641.6428744.361262e-07
1.994881.6427494.463295e-07
21.642684.519900e-07
2.004161.6426244.643308e-07
2.013481.6424974.920175e-07
2.022841.6423695.198331e-07
2.032251.642245.477780e-07
2.04171.6421115.758529e-07
2.05121.641986.040584e-07
2.060741.6418486.323951e-07
2.070331.6417156.608636e-07
2.079961.6415826.894645e-07
2.089631.6414477.181984e-07
2.099351.6413117.470660e-07
2.109121.6411747.760679e-07
2.118931.6410368.052046e-07
2.128781.6408968.344769e-07
2.138681.6407568.638854e-07
2.148631.6406158.934306e-07
2.158621.6404729.231132e-07
2.168671.6403289.529340e-07
2.178751.6401839.828934e-07
2.188891.6400371.012992e-06
2.199071.639891.043231e-06
2.21.6398761.046000e-06
2.20931.6397411.101829e-06
2.219571.6395911.163542e-06
2.22991.639441.225543e-06
2.240271.6392881.287832e-06
2.250691.6391341.350410e-06
2.261161.6389791.413280e-06
2.271671.6388231.476442e-06
2.282241.6386651.539898e-06
2.292861.6385061.603649e-06
2.303521.6383451.667697e-06
2.314241.6381841.732043e-06
2.3251.638021.796688e-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
—