Optical constants

Refractive index of H-ZBAF4 (CDGM)

H-ZBAF4: 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
1.66426
Extinction coefficient k
1.87414e-08
Permittivity ε1
2.76975
Permittivity ε2
6.23811e-08
Absorption coefficient α
0.00400803 cm⁻¹
Penetration depth δ = λ/(2πk)
4.98998e+09 nm
Abbe number Vd
35.484
Chromatic dispersion dn/dλ
-0.0947135 µm⁻¹
Group index ng
1.71991
Group velocity dispersion
185.511 fs²/mm
Dispersion parameter D
-1012.06 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-ZBAF4 (CDGM): H-ZBAF4
cdgm_h_zbaf4 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZBAF4", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zbaf4.range_nm)  # (365, 2325) nm
eps = cdgm_h_zbaf4.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=0.151466661λ2λ2−0.0571831045+1.54020133λ2λ2−0.0111587138+1.18737385λ2λ2−120.128948

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.151466661
C30.0571831045
C41.54020133
C50.0111587138
C61.18737385
C7120.128948

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 3.08e-07 1.96e-08 -1.32e-10 7.3e-07 5.23e-10 0.276
nd
1.664260
Vd
35.484251
glass code
664355
density
value: 3110
thermal expansion
value: 7.9e-06, temperature range: 243 343; value: 9.5e-06, temperature range: 293 573
dPgF
0.0042
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.35e-06 K⁻¹ at 633 nm, dn/dT = 3.88e-07 K⁻¹ at 1310 nm, dn/dT = 3.19e-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-ZBAF4 (CDGM), H-ZBAF4: n and k versus wavelength
λ (µm)nk
0.3651.7161154.090800e-06
0.3666981.7151643.392759e-06
0.3684031.714232.691471e-06
0.371.7133732.035000e-06
0.3701171.7133112.020538e-06
0.3718381.7124081.807622e-06
0.3735681.7115191.593715e-06
0.3753061.7106451.378814e-06
0.3770511.7097851.162913e-06
0.3788051.7089399.460076e-07
0.381.7083727.982200e-07
0.3805671.7081067.738630e-07
0.3823371.7072876.978230e-07
0.3841161.706486.214292e-07
0.3859021.7056865.446802e-07
0.3876971.7049044.675742e-07
0.38951.7041343.901095e-07
0.391.7039243.686500e-07
0.3913121.7033763.465654e-07
0.3931321.702633.159309e-07
0.3949611.7018942.851540e-07
0.3967981.7011692.542339e-07
0.3986441.7004552.231699e-07
0.41.699942.003400e-07
0.4004981.6997521.973744e-07
0.4023611.6990591.862767e-07
0.4042321.6983761.751273e-07
0.4061121.6977021.639261e-07
0.4080011.6970391.526728e-07
0.4098991.6963841.413672e-07
0.4118061.6957391.300089e-07
0.4137211.6951031.185979e-07
0.4156451.6944761.071337e-07
0.4175791.6938579.561624e-08
0.4195211.6932478.404520e-08
0.421.6930998.119200e-08
0.4214721.6926467.911055e-08
0.4234331.6920527.633922e-08
0.4254021.6914677.355500e-08
0.4273811.6908897.075783e-08
0.4293691.6903196.794764e-08
0.4313661.6897576.512439e-08
0.4333721.6892026.228801e-08
0.4353881.6886555.943843e-08
0.4374131.6881145.657560e-08
0.4394481.6875815.369945e-08
0.441.6874385.291900e-08
0.4414921.6870555.144012e-08
0.4435451.6865354.940456e-08
0.4456091.6860224.735954e-08
0.4476811.6855164.530500e-08
0.4497641.6850164.324091e-08
0.4518561.6845224.116722e-08
0.4539571.6840353.908388e-08
0.4560691.6835533.699085e-08
0.458191.6830783.488808e-08
0.461.6826793.309400e-08
0.4603211.6826083.299341e-08
0.4624621.6821453.232303e-08
0.4646131.6816873.164953e-08
0.4667751.6812353.097290e-08
0.4689461.6807883.029312e-08
0.4711271.6803462.961018e-08
0.4733181.679912.892406e-08
0.475521.679482.823476e-08
0.4777321.6790542.754224e-08
0.4799541.6786332.684651e-08
0.481.6786252.683200e-08
0.4821861.6782182.651644e-08
0.4844291.6778072.619269e-08
0.4866821.6774012.586743e-08
0.4889461.6772.554067e-08
0.491221.6766042.521238e-08
0.4935051.6762122.488256e-08
0.49581.6758252.455121e-08
0.4981071.6754432.421832e-08
0.51.6751332.394500e-08
0.5004231.6750642.389078e-08
0.5027511.674692.359271e-08
0.5050891.6743212.329324e-08
0.5074391.6739552.299239e-08
0.5097991.6735942.269013e-08
0.512171.6732372.238647e-08
0.5145531.6728842.208139e-08
0.5169461.6725342.177490e-08
0.519351.6721892.146698e-08
0.5217661.6718482.115763e-08
0.5241931.671512.084684e-08
0.5266311.6711762.053461e-08
0.5290811.6708462.022092e-08
0.5315421.6705191.990577e-08
0.5340141.6701961.958916e-08
0.5364981.6698771.927108e-08
0.5389931.6695611.895151e-08
0.54151.6692481.863046e-08
0.5440191.6689391.830792e-08
0.5465491.6686331.798387e-08
0.5490921.668331.765832e-08
0.551.6682231.754200e-08
0.5516461.6680311.759450e-08
0.5542121.6677351.767635e-08
0.5567891.6674421.775858e-08
0.5593791.6671521.784120e-08
0.5619811.6668651.792420e-08
0.5645951.6665811.800758e-08
0.5672211.66631.809135e-08
0.5698591.6660221.817552e-08
0.572511.6657471.826007e-08
0.5751731.6654751.834502e-08
0.5778481.6652051.843036e-08
0.5805361.6649391.851610e-08
0.5832361.6646751.860224e-08
0.5859491.6644131.868878e-08
0.5886751.6641551.877572e-08
0.5914131.6638991.886307e-08
0.5941641.6636461.895082e-08
0.5969271.6633951.903898e-08
0.5997041.6631471.912755e-08
0.61.663121.913700e-08
0.6024931.6629011.947562e-08
0.6052961.6626581.985625e-08
0.6081111.6624172.023864e-08
0.610941.6621782.062281e-08
0.6137811.6619422.100876e-08
0.6166361.6617082.139652e-08
0.6195041.6614772.178607e-08
0.6223861.6612472.217744e-08
0.6252811.661022.257063e-08
0.6281891.6607962.296565e-08
0.6311111.6605732.336250e-08
0.6340471.6603532.376120e-08
0.6369961.6601342.416176e-08
0.6399591.6599182.456417e-08
0.6429351.6597042.496846e-08
0.6459261.6594912.537463e-08
0.648931.6592812.578269e-08
0.651.6592072.592800e-08
0.6519491.6590732.600571e-08
0.6549811.6588672.612664e-08
0.6580281.6586632.624814e-08
0.6610881.658462.637020e-08
0.6641631.658262.649283e-08
0.6672521.6580612.661603e-08
0.6703561.6578642.673980e-08
0.6734741.6576692.686415e-08
0.6766071.6574762.698907e-08
0.6797541.6572842.711458e-08
0.6829151.6570952.724067e-08
0.6860921.6569072.736735e-08
0.6892831.656722.749461e-08
0.6924891.6565352.762247e-08
0.695711.6563522.775093e-08
0.6989461.6561712.787998e-08
0.71.6561132.792200e-08
0.7021971.6559912.786913e-08
0.7054631.6558132.779055e-08
0.7087451.6556362.771160e-08
0.7120411.6554612.763228e-08
0.7153531.6552882.755260e-08
0.7186811.6551162.747254e-08
0.7220231.6549452.739212e-08
0.7253821.6547762.731131e-08
0.7287561.6546082.723013e-08
0.7321461.6544422.714858e-08
0.7355511.6542772.706664e-08
0.7389721.6541132.698433e-08
0.7424091.6539512.690163e-08
0.7458631.6537912.681854e-08
0.7493321.6536312.673507e-08
0.7528171.6534732.665122e-08
0.7563191.6533162.656697e-08
0.7598371.653162.648233e-08
0.7633711.6530062.639729e-08
0.7669221.6528532.631186e-08
0.7704891.6527012.622604e-08
0.7740731.6525512.613981e-08
0.7776731.6524012.605318e-08
0.781291.6522532.596615e-08
0.7849241.6521062.587872e-08
0.7885751.651962.579088e-08
0.7922431.6518152.570263e-08
0.7959281.6516712.561396e-08
0.799631.6515292.552489e-08
0.81.6515142.551600e-08
0.803351.6513872.471379e-08
0.8070861.6512472.381894e-08
0.810841.6511072.291993e-08
0.8146121.6509692.201673e-08
0.8184011.6508312.110933e-08
0.8222081.6506952.019772e-08
0.8260321.650561.928186e-08
0.8298741.6504251.836174e-08
0.8337341.6502921.743734e-08
0.8376121.6501591.650865e-08
0.8415081.6500281.557563e-08
0.8454221.6498971.463827e-08
0.8493551.6497671.369656e-08
0.851.6497461.354200e-08
0.8533051.6496391.359462e-08
0.8572741.6495111.365781e-08
0.8612621.6493841.372129e-08
0.8652681.6492571.378506e-08
0.8692921.6491321.384913e-08
0.8733361.6490071.391350e-08
0.8773981.6488841.397817e-08
0.8814791.6487611.404315e-08
0.8855791.6486391.410842e-08
0.8896981.6485171.417399e-08
0.8938361.6483971.423988e-08
0.8979941.6482771.430606e-08
0.91.6482191.433800e-08
0.9021711.6481581.437260e-08
0.9063671.6480391.443949e-08
0.9105831.6479221.450669e-08
0.9148181.6478051.457420e-08
0.9190731.6476881.464203e-08
0.9233481.6475731.471017e-08
0.9276431.6474581.477863e-08
0.9319581.6473441.484741e-08
0.9362931.647231.491651e-08
0.9406481.6471171.498593e-08
0.9450231.6470051.505567e-08
0.9494191.6468931.512573e-08
0.951.6468781.513500e-08
0.9538351.6467821.519605e-08
0.9582711.6466711.526668e-08
0.9627291.6465611.533764e-08
0.9672071.6464521.540893e-08
0.9717051.6463431.548055e-08
0.9762251.6462351.555250e-08
0.9807661.6461271.562479e-08
0.9853281.646021.569742e-08
0.9899111.6459131.577038e-08
0.9945151.6458071.584368e-08
0.9991411.6457011.591732e-08
11.6456821.593100e-08
1.003791.6455961.599136e-08
1.008461.6454911.606575e-08
1.013151.6453871.614049e-08
1.017861.6452831.621558e-08
1.022591.645181.629101e-08
1.027351.6450771.636680e-08
1.032131.6449741.644293e-08
1.036931.6448721.651943e-08
1.041751.644771.659628e-08
1.04661.6446691.667348e-08
1.051471.6445681.675105e-08
1.056361.6444671.682897e-08
1.061.6443931.688700e-08
1.061271.6443671.690726e-08
1.066211.6442671.698593e-08
1.071171.6441681.706496e-08
1.076151.6440691.714435e-08
1.081151.643971.722412e-08
1.086181.6438711.730426e-08
1.091241.6437731.738477e-08
1.096311.6436751.746565e-08
1.101411.6435781.754691e-08
1.106531.643481.762855e-08
1.111681.6433831.771057e-08
1.116851.6432861.779297e-08
1.122051.643191.787576e-08
1.127271.6430931.795892e-08
1.132511.6429971.804248e-08
1.137781.6429011.812642e-08
1.143071.6428061.821076e-08
1.148391.642711.829549e-08
1.153731.6426151.838061e-08
1.159091.642521.846612e-08
1.164481.6424251.855204e-08
1.16991.642331.863835e-08
1.175341.6422361.872507e-08
1.180811.6421411.881219e-08
1.18631.6420471.889971e-08
1.191821.6419531.898764e-08
1.197361.6418591.907598e-08
1.21.6418141.911800e-08
1.202931.6417652.014982e-08
1.208531.6416712.211842e-08
1.214151.6415772.409617e-08
1.21981.6414842.608313e-08
1.225471.641392.807933e-08
1.231171.6412973.008481e-08
1.23691.6412033.209962e-08
1.242651.641113.412380e-08
1.248431.6410173.615740e-08
1.254241.6409233.820046e-08
1.260071.640834.025302e-08
1.265931.6407374.231513e-08
1.271821.6406444.438682e-08
1.277741.6405514.646816e-08
1.283681.6404574.855917e-08
1.289651.6403645.065992e-08
1.295651.6402715.277043e-08
1.301671.6401785.489076e-08
1.307731.6400845.702095e-08
1.313811.6399915.916105e-08
1.319921.6398976.131110e-08
1.326061.6398046.347116e-08
1.332231.639716.564126e-08
1.338431.6396166.782146e-08
1.344651.6395237.001179e-08
1.350911.6394297.221232e-08
1.357191.6393357.442308e-08
1.36351.6392417.664412e-08
1.369851.6391467.887550e-08
1.376221.6390528.111725e-08
1.382621.6389578.336943e-08
1.389051.6388638.563209e-08
1.395511.6387688.790527e-08
1.41.6387028.948500e-08
1.4021.6386738.974138e-08
1.408521.6385789.057690e-08
1.415071.6384829.141631e-08
1.421661.6383869.225963e-08
1.428271.6382919.310687e-08
1.434911.6381959.395805e-08
1.441591.6380989.481318e-08
1.448291.6380029.567230e-08
1.455031.6379059.653541e-08
1.46181.6378089.740254e-08
1.468591.6377119.827370e-08
1.475431.6376139.914891e-08
1.482291.6375151.000282e-07
1.489181.6374171.009116e-07
1.496111.6373181.017990e-07
1.503071.637221.026907e-07
1.510061.637121.035864e-07
1.517081.6370211.044863e-07
1.524141.6369211.053904e-07
1.531231.6368211.062988e-07
1.538351.6367211.072113e-07
1.545511.636621.081281e-07
1.55271.6365181.090491e-07
1.559921.6364171.099745e-07
1.567171.6363151.109041e-07
1.574461.6362121.118380e-07
1.581791.6361091.127764e-07
1.589141.6360061.137190e-07
1.596541.6359021.146661e-07
1.61.6358541.151100e-07
1.603961.6357981.205953e-07
1.611421.6356931.309263e-07
1.618921.6355881.413054e-07
1.626451.6354831.517327e-07
1.634011.6353771.622085e-07
1.641611.635271.727331e-07
1.649251.6351631.833066e-07
1.656921.6350551.939293e-07
1.664631.6349472.046014e-07
1.672371.6348382.153231e-07
1.680151.6347292.260947e-07
1.687961.6346192.369165e-07
1.695811.6345092.477885e-07
1.70371.6343982.587111e-07
1.711631.6342862.696846e-07
1.719591.6341742.807090e-07
1.727591.6340612.917848e-07
1.735621.6339483.029120e-07
1.743691.6338333.140910e-07
1.751811.6337193.253220e-07
1.759951.6336033.366053e-07
1.768141.6334873.479410e-07
1.776361.633373.593295e-07
1.784631.6332533.707709e-07
1.792931.6331353.822656e-07
1.81.6330343.920600e-07
1.801271.6330163.940069e-07
1.809641.6328964.068868e-07
1.818061.6327764.198267e-07
1.826521.6326554.328267e-07
1.835011.6325334.458872e-07
1.843551.632414.590085e-07
1.852121.6322874.721907e-07
1.860741.6321624.854343e-07
1.869391.6320374.987395e-07
1.878091.6319115.121066e-07
1.886821.6317845.255359e-07
1.89561.6316575.390276e-07
1.904421.6315285.525821e-07
1.913281.6313995.661996e-07
1.922181.6312685.798805e-07
1.931121.6311375.936250e-07
1.94011.6310056.074334e-07
1.949121.6308726.213060e-07
1.958191.6307386.352432e-07
1.96731.6306036.492452e-07
1.976451.6304676.633124e-07
1.985641.630336.774449e-07
1.994881.6301926.916432e-07
21.6301156.995200e-07
2.004161.6300537.245227e-07
2.013481.6299137.806168e-07
2.022841.6297728.369719e-07
2.032251.6296298.935890e-07
2.04171.6294869.504695e-07
2.05121.6293421.007615e-06
2.060741.6291961.065025e-06
2.070331.629051.122703e-06
2.079961.6289021.180650e-06
2.089631.6287531.238865e-06
2.099351.6286031.297352e-06
2.109121.6284521.356110e-06
2.118931.6282991.415142e-06
2.128781.6281451.474449e-06
2.138681.627991.534031e-06
2.148631.6278341.593890e-06
2.158621.6276771.654028e-06
2.168671.6275181.714446e-06
2.178751.6273581.775144e-06
2.188891.6271971.836125e-06
2.199071.6270341.897390e-06
2.21.6270191.903000e-06
2.20931.626871.942263e-06
2.219571.6267041.985664e-06
2.22991.6265372.029267e-06
2.240271.6263692.073073e-06
2.250691.6261992.117083e-06
2.261161.6260282.161298e-06
2.271671.6258552.205718e-06
2.282241.6256812.250345e-06
2.292861.6255062.295179e-06
2.303521.6253282.340222e-06
2.314241.625152.385475e-06
2.3251.6249692.430937e-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
—