Optical constants

Refractive index of H-ZBAF1 (CDGM)

H-ZBAF1: 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
1.6223
Extinction coefficient k
2.70488e-08
Permittivity ε1
2.63185
Permittivity ε2
8.77625e-08
Absorption coefficient α
0.00578465 cm⁻¹
Penetration depth δ = λ/(2πk)
3.45743e+09 nm
Abbe number Vd
53.171
Chromatic dispersion dn/dλ
-0.0601468 µm⁻¹
Group index ng
1.65764
Group velocity dispersion
108.765 fs²/mm
Dispersion parameter D
-593.369 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-ZBAF1 (CDGM): H-ZBAF1
cdgm_h_zbaf1 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZBAF1", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zbaf1.range_nm)  # (365, 2325) nm
eps = cdgm_h_zbaf1.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=1.05607188λ2λ2−114.460233+1.45456542λ2λ2−0.00840268049+0.129035718λ2λ2−0.036305429

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C21.05607188
C3114.460233
C41.45456542
C50.00840268049
C60.129035718
C70.036305429

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 3.71e-06 2.12e-08 -1.14e-10 4.62e-07 6.87e-11 0.246
nd
1.622300
Vd
53.170869
glass code
622532
density
value: 3570
thermal expansion
value: 6e-06, temperature range: 243 343; value: 7.2e-06, temperature range: 293 573
dPgF
-0.0009

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 2.54e-06 K⁻¹ at 633 nm, dn/dT = 1.96e-06 K⁻¹ at 1310 nm, dn/dT = 1.91e-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-ZBAF1 (CDGM), H-ZBAF1: n and k versus wavelength
λ (µm)nk
0.3651.6518554.406800e-07
0.3666981.6513743.853372e-07
0.3684031.6508993.297370e-07
0.371.6504622.776900e-07
0.3701171.650432.761823e-07
0.3718381.6499662.539848e-07
0.3735681.6495082.316840e-07
0.3753061.6490562.092796e-07
0.3770511.6486091.867709e-07
0.3788051.6481671.641575e-07
0.381.6478711.487500e-07
0.3805671.6477311.451323e-07
0.3823371.64731.338383e-07
0.3841161.6468731.224917e-07
0.3859021.6464521.110923e-07
0.3876971.6460369.963997e-08
0.38951.6456248.813433e-08
0.391.6455128.494700e-08
0.3913121.6452188.181283e-08
0.3931321.6448167.746528e-08
0.3949611.6444187.309752e-08
0.3967981.6440266.870944e-08
0.3986441.6436376.430095e-08
0.41.6433566.106100e-08
0.4004981.6432546.054550e-08
0.4023611.6428745.861643e-08
0.4042321.6424995.667838e-08
0.4061121.6421285.473133e-08
0.4080011.6417615.277521e-08
0.4098991.6413995.081000e-08
0.4118061.641044.883564e-08
0.4137211.6406864.685210e-08
0.4156451.6403354.485934e-08
0.4175791.6399884.285731e-08
0.4195211.6396464.084596e-08
0.421.6395624.035000e-08
0.4214721.6393073.997012e-08
0.4234331.6389713.946434e-08
0.4254021.638643.895620e-08
0.4273811.6383123.844570e-08
0.4293691.6379873.793282e-08
0.4313661.6376663.741756e-08
0.4333721.6373493.689990e-08
0.4353881.6370353.637984e-08
0.4374131.6367243.585735e-08
0.4394481.6364173.533244e-08
0.441.6363353.519000e-08
0.4414921.6361133.503365e-08
0.4435451.6358123.481844e-08
0.4456091.6355153.460223e-08
0.4476811.6352213.438501e-08
0.4497641.6349293.416678e-08
0.4518561.6346413.394754e-08
0.4539571.6343563.372728e-08
0.4560691.6340743.350599e-08
0.458191.6337953.328368e-08
0.461.633563.309400e-08
0.4603211.6335193.299341e-08
0.4624621.6332463.232303e-08
0.4646131.6329753.164953e-08
0.4667751.6327083.097290e-08
0.4689461.6324433.029312e-08
0.4711271.6321812.961018e-08
0.4733181.6319212.892406e-08
0.475521.6316652.823476e-08
0.4777321.6314112.754224e-08
0.4799541.6311592.684651e-08
0.481.6311542.683200e-08
0.4821861.630912.651644e-08
0.4844291.6306642.619269e-08
0.4866821.630422.586743e-08
0.4889461.6301792.554067e-08
0.491221.629942.521238e-08
0.4935051.6297032.488256e-08
0.49581.6294692.455121e-08
0.4981071.6292372.421832e-08
0.51.6290492.394500e-08
0.5004231.6290072.392801e-08
0.5027511.628782.383463e-08
0.5050891.6285552.374081e-08
0.5074391.6283332.364655e-08
0.5097991.6281122.355186e-08
0.512171.6278942.345673e-08
0.5145531.6276782.336115e-08
0.5169461.6274632.326513e-08
0.519351.6272512.316866e-08
0.5217661.6270422.307174e-08
0.5241931.6268342.297438e-08
0.5266311.6266282.287656e-08
0.5290811.6264242.277828e-08
0.5315421.6262222.267955e-08
0.5340141.6260222.258036e-08
0.5364981.6258242.248070e-08
0.5389931.6256282.238059e-08
0.54151.6254342.228000e-08
0.5440191.6252412.217895e-08
0.5465491.6250512.207743e-08
0.5490921.6248622.197544e-08
0.551.6247952.193900e-08
0.5516461.6246752.216265e-08
0.5542121.624492.251135e-08
0.5567891.6243072.286168e-08
0.5593791.6241252.321363e-08
0.5619811.6239452.356723e-08
0.5645951.6237662.392246e-08
0.5672211.623592.427935e-08
0.5698591.6234152.463790e-08
0.572511.6232412.499812e-08
0.5751731.6230692.536001e-08
0.5778481.6228992.572359e-08
0.5805361.622732.608886e-08
0.5832361.6225632.645582e-08
0.5859491.6223972.682449e-08
0.5886751.6222332.719488e-08
0.5914131.6220712.756699e-08
0.5941641.6219092.794083e-08
0.5969271.621752.831641e-08
0.5997041.6215912.869374e-08
0.61.6215742.873400e-08
0.6024931.6214342.859408e-08
0.6052961.6212792.843681e-08
0.6081111.6211252.827881e-08
0.610941.6209722.812007e-08
0.6137811.620822.796060e-08
0.6166361.620672.780038e-08
0.6195041.6205212.763942e-08
0.6223861.6203742.747771e-08
0.6252811.6202282.731525e-08
0.6281891.6200832.715203e-08
0.6311111.6199392.698805e-08
0.6340471.6197962.682331e-08
0.6369961.6196552.665780e-08
0.6399591.6195152.649152e-08
0.6429351.6193762.632447e-08
0.6459261.6192382.615665e-08
0.648931.6191022.598804e-08
0.651.6190542.592800e-08
0.6519491.6189662.600571e-08
0.6549811.6188322.612664e-08
0.6580281.6186992.624814e-08
0.6610881.6185672.637020e-08
0.6641631.6184362.649283e-08
0.6672521.6183062.661603e-08
0.6703561.6181772.673980e-08
0.6734741.6180492.686415e-08
0.6766071.6179222.698907e-08
0.6797541.6177962.711458e-08
0.6829151.6176722.724067e-08
0.6860921.6175482.736735e-08
0.6892831.6174252.749461e-08
0.6924891.6173032.762247e-08
0.695711.6171822.775093e-08
0.6989461.6170622.787998e-08
0.71.6170232.792200e-08
0.7021971.6169432.786913e-08
0.7054631.6168252.779055e-08
0.7087451.6167082.771160e-08
0.7120411.6165922.763228e-08
0.7153531.6164762.755260e-08
0.7186811.6163622.747254e-08
0.7220231.6162482.739212e-08
0.7253821.6161352.731131e-08
0.7287561.6160232.723013e-08
0.7321461.6159122.714858e-08
0.7355511.6158012.706664e-08
0.7389721.6156922.698433e-08
0.7424091.6155832.690163e-08
0.7458631.6154752.681854e-08
0.7493321.6153682.673507e-08
0.7528171.6152612.665122e-08
0.7563191.6151552.656697e-08
0.7598371.615052.648233e-08
0.7633711.6149462.639729e-08
0.7669221.6148432.631186e-08
0.7704891.614742.622604e-08
0.7740731.6146382.613981e-08
0.7776731.6145362.605318e-08
0.781291.6144352.596615e-08
0.7849241.6143352.587872e-08
0.7885751.6142362.579088e-08
0.7922431.6141372.570263e-08
0.7959281.6140392.561396e-08
0.799631.6139412.552489e-08
0.81.6139312.551600e-08
0.803351.6138442.471379e-08
0.8070861.6137482.381894e-08
0.810841.6136522.291993e-08
0.8146121.6135572.201673e-08
0.8184011.6134622.110933e-08
0.8222081.6133682.019772e-08
0.8260321.6132751.928186e-08
0.8298741.6131821.836174e-08
0.8337341.6130891.743734e-08
0.8376121.6129981.650865e-08
0.8415081.6129061.557563e-08
0.8454221.6128161.463827e-08
0.8493551.6127251.369656e-08
0.851.6127111.354200e-08
0.8533051.6126361.359462e-08
0.8572741.6125461.365781e-08
0.8612621.6124571.372129e-08
0.8652681.6123691.378506e-08
0.8692921.6122811.384913e-08
0.8733361.6121941.391350e-08
0.8773981.6121071.397817e-08
0.8814791.612021.404315e-08
0.8855791.6119341.410842e-08
0.8896981.6118491.417399e-08
0.8938361.6117631.423988e-08
0.8979941.6116791.430606e-08
0.91.6116381.433800e-08
0.9021711.6115941.437260e-08
0.9063671.611511.443949e-08
0.9105831.6114261.450669e-08
0.9148181.6113431.457420e-08
0.9190731.611261.464203e-08
0.9233481.6111781.471017e-08
0.9276431.6110951.477863e-08
0.9319581.6110141.484741e-08
0.9362931.6109321.491651e-08
0.9406481.6108511.498593e-08
0.9450231.610771.505567e-08
0.9494191.6106891.512573e-08
0.951.6106791.513500e-08
0.9538351.6106091.519605e-08
0.9582711.6105291.526668e-08
0.9627291.610451.533764e-08
0.9672071.610371.540893e-08
0.9717051.6102911.548055e-08
0.9762251.6102121.555250e-08
0.9807661.6101341.562479e-08
0.9853281.6100551.569742e-08
0.9899111.6099771.577038e-08
0.9945151.6098991.584368e-08
0.9991411.6098221.591732e-08
11.6098081.593100e-08
1.003791.6097451.599136e-08
1.008461.6096671.606575e-08
1.013151.609591.614049e-08
1.017861.6095141.621558e-08
1.022591.6094371.629101e-08
1.027351.6093611.636680e-08
1.032131.6092851.644293e-08
1.036931.6092091.651943e-08
1.041751.6091331.659628e-08
1.04661.6090571.667348e-08
1.051471.6089821.675105e-08
1.056361.6089061.682897e-08
1.061.608851.688700e-08
1.061271.6088311.690726e-08
1.066211.6087561.698593e-08
1.071171.6086811.706496e-08
1.076151.6086061.714435e-08
1.081151.6085311.722412e-08
1.086181.6084571.730426e-08
1.091241.6083821.738477e-08
1.096311.6083081.746565e-08
1.101411.6082331.754691e-08
1.106531.6081591.762855e-08
1.111681.6080851.771057e-08
1.116851.6080111.779297e-08
1.122051.6079371.787576e-08
1.127271.6078631.795892e-08
1.132511.6077891.804248e-08
1.137781.6077151.812642e-08
1.143071.6076411.821076e-08
1.148391.6075671.829549e-08
1.153731.6074931.838061e-08
1.159091.6074191.846612e-08
1.164481.6073451.855204e-08
1.16991.6072711.863835e-08
1.175341.6071981.872507e-08
1.180811.6071241.881219e-08
1.18631.607051.889971e-08
1.191821.6069761.898764e-08
1.197361.6069021.907598e-08
1.21.6068671.911800e-08
1.202931.6068282.064463e-08
1.208531.6067542.355729e-08
1.214151.6066792.648349e-08
1.21981.6066052.942331e-08
1.225471.6065313.237680e-08
1.231171.6064573.534402e-08
1.23691.6063823.832505e-08
1.242651.6063084.131995e-08
1.248431.6062334.432877e-08
1.254241.6061584.735159e-08
1.260071.6060835.038847e-08
1.265931.6060085.343947e-08
1.271821.6059335.650467e-08
1.277741.6058585.958412e-08
1.283681.6057836.267790e-08
1.289651.6057076.578607e-08
1.295651.6056316.890869e-08
1.301671.6055557.204584e-08
1.307731.6054797.519758e-08
1.313811.6054037.836398e-08
1.319921.6053278.154511e-08
1.326061.605258.474104e-08
1.332231.6051738.795183e-08
1.338431.6050969.117755e-08
1.344651.6050199.441828e-08
1.350911.6049429.767408e-08
1.357191.6048641.009450e-07
1.36351.6047861.042312e-07
1.369851.6047081.075326e-07
1.376221.604631.108494e-07
1.382621.6045511.141817e-07
1.389051.6044721.175294e-07
1.395511.6043931.208927e-07
1.41.6043381.232300e-07
1.4021.6043131.228919e-07
1.408521.6042341.217902e-07
1.415071.6041541.206833e-07
1.421661.6040731.195713e-07
1.428271.6039931.184541e-07
1.434911.6039121.173317e-07
1.441591.603831.162041e-07
1.448291.6037491.150712e-07
1.455031.6036671.139331e-07
1.46181.6035841.127897e-07
1.468591.6035021.116409e-07
1.475431.6034191.104868e-07
1.482291.6033351.093274e-07
1.489181.6032511.081625e-07
1.496111.6031671.069923e-07
1.503071.6030831.058166e-07
1.510061.6029981.046354e-07
1.517081.6029121.034487e-07
1.524141.6028271.022565e-07
1.531231.602741.010588e-07
1.538351.6026549.985551e-08
1.545511.6025679.864660e-08
1.55271.6024799.743208e-08
1.559921.6023919.621191e-08
1.567171.6023029.498606e-08
1.574461.6022139.375451e-08
1.581791.6021249.251723e-08
1.589141.6020349.127419e-08
1.596541.6019449.002538e-08
1.61.6019018.944000e-08
1.603961.6018539.224455e-08
1.611421.6017619.752662e-08
1.618921.6016691.028333e-07
1.626451.6015761.081646e-07
1.634011.6014831.135207e-07
1.641611.601391.189017e-07
1.649251.6012951.243078e-07
1.656921.6012011.297390e-07
1.664631.6011051.351955e-07
1.672371.6010091.406773e-07
1.680151.6009121.461847e-07
1.687961.6008151.517176e-07
1.695811.6007171.572763e-07
1.70371.6006191.628609e-07
1.711631.600521.684714e-07
1.719591.600421.741081e-07
1.727591.6003191.797709e-07
1.735621.6002181.854601e-07
1.743691.6001171.911757e-07
1.751811.6000141.969180e-07
1.759951.5999112.026869e-07
1.768141.5998072.084827e-07
1.776361.5997022.143054e-07
1.784631.5995972.201552e-07
1.792931.5994912.260323e-07
1.81.59942.310400e-07
1.801271.5993842.324391e-07
1.809641.5992762.416950e-07
1.818061.5991682.509940e-07
1.826521.5990592.603362e-07
1.835011.5989492.697219e-07
1.843551.5988382.791512e-07
1.852121.5987262.886244e-07
1.860741.5986142.981416e-07
1.869391.59853.077031e-07
1.878091.5983863.173091e-07
1.886821.5982713.269598e-07
1.89561.5981553.366553e-07
1.904421.5980383.463960e-07
1.913281.597923.561820e-07
1.922181.5978023.660134e-07
1.931121.5976823.758906e-07
1.94011.5975623.858138e-07
1.949121.597443.957831e-07
1.958191.5973184.057988e-07
1.96731.5971944.158610e-07
1.976451.597074.259701e-07
1.985641.5969444.361262e-07
1.994881.5968184.463295e-07
21.5967474.519900e-07
2.004161.596694.757052e-07
2.013481.5965625.289110e-07
2.022841.5964325.823641e-07
2.032251.5963016.360660e-07
2.04171.596176.900175e-07
2.05121.5960377.442201e-07
2.060741.5959037.986748e-07
2.070331.5957688.533827e-07
2.079961.5956319.083451e-07
2.089631.5954949.635632e-07
2.099351.5953551.019038e-06
2.109121.5952161.074771e-06
2.118931.5950751.130763e-06
2.128781.5949321.187016e-06
2.138681.5947891.243530e-06
2.148631.5946441.300307e-06
2.158621.5944981.357348e-06
2.168671.5943511.414655e-06
2.178751.5942031.472228e-06
2.188891.5940531.530069e-06
2.199071.5939021.588179e-06
2.21.5938881.593500e-06
2.20931.5937491.653321e-06
2.219571.5935951.719449e-06
2.22991.593441.785883e-06
2.240271.5932831.852627e-06
2.250691.5931251.919681e-06
2.261161.5929651.987047e-06
2.271671.5928042.054727e-06
2.282241.5926422.122721e-06
2.292861.5924782.191031e-06
2.303521.5923132.259659e-06
2.314241.5921462.328607e-06
2.3251.5919772.397875e-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
—