Optical constants

Refractive index of H-ZF4A (CDGM)

H-ZF4A: 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. Note: k data cover 370-2400 nm only; k = 0 elsewhere in the n range 365-2325 nm.

At one wavelength

Range 0.365–2.325 µm
Refractive index n
1.72825
Extinction coefficient k
3.28468e-08
Permittivity ε1
2.98683
Permittivity ε2
1.13535e-07
Absorption coefficient α
0.0070246 cm⁻¹
Penetration depth δ = λ/(2πk)
2.84714e+09 nm
Abbe number Vd
28.319
Chromatic dispersion dn/dλ
-0.129075 µm⁻¹
Group index ng
1.80409
Group velocity dispersion
262.331 fs²/mm
Dispersion parameter D
-1431.16 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-ZF4A (CDGM): H-ZF4A
cdgm_h_zf4a = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZF4A", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zf4a.range_nm)  # (365, 2325) nm
eps = cdgm_h_zf4a.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=1.67238093λ2λ2−0.0133653851+1.34134437λ2λ2−122.464022+0.204305471λ2λ2−0.0641192325

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C21.67238093
C30.0133653851
C41.34134437
C5122.464022
C60.204305471
C70.0641192325

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -5.36e-06 1.47e-08 -3.86e-11 1.02e-06 8.24e-10 0.276
nd
1.728250
Vd
28.318797
glass code
728283
glass status
standard
density
value: 3050
thermal expansion
value: 9.3e-06, temperature range: 243 343; value: 1.12e-05, temperature range: 293 573
dPgF
0.0107
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -1.27e-06 K⁻¹ at 633 nm, dn/dT = -2.62e-06 K⁻¹ at 1310 nm, dn/dT = -2.71e-06 K⁻¹ at 1550 nm
Notes on the source data (kept exactly as published):
  • k data cover 370-2400 nm only; k = 0 elsewhere in the n range 365-2325 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-ZF4A (CDGM), H-ZF4A: n and k versus wavelength
λ (µm)nk
0.3651.8031290
0.3666981.8016660
0.3684031.8002320
0.371.798924.553400e-06
0.3701171.7988254.519785e-06
0.3718381.7974464.024895e-06
0.3735681.7960933.527703e-06
0.3753061.7947653.028199e-06
0.3770511.7934632.526371e-06
0.3788051.7921842.022209e-06
0.381.7913291.678700e-06
0.3805671.7909281.627464e-06
0.3823371.7896951.467513e-06
0.3841161.7884841.306817e-06
0.3859021.7872951.145373e-06
0.3876971.7861269.831792e-07
0.38951.7849788.202305e-07
0.391.7846647.750900e-07
0.3913121.7838497.301152e-07
0.3931321.782746.677287e-07
0.3949611.7816496.050520e-07
0.3967981.7805775.420838e-07
0.3986441.7795224.788227e-07
0.41.7787614.323300e-07
0.4004981.7784854.265398e-07
0.4023611.7774654.048721e-07
0.4042321.7764613.831036e-07
0.4061121.7754733.612339e-07
0.4080011.7745013.392624e-07
0.4098991.7735443.171887e-07
0.4118061.7726022.950124e-07
0.4137211.7716752.727329e-07
0.4156451.7707632.503498e-07
0.4175791.7698642.278625e-07
0.4195211.7689792.052707e-07
0.421.7687631.997000e-07
0.4214721.7681071.941822e-07
0.4234331.7672481.868356e-07
0.4254021.7664021.794548e-07
0.4273811.7655691.720396e-07
0.4293691.7647471.645900e-07
0.4313661.7639381.571058e-07
0.4333721.7631411.495867e-07
0.4353881.7623541.420326e-07
0.4374131.761581.344434e-07
0.4394481.7608161.268189e-07
0.441.7606111.247500e-07
0.4414921.7600631.220776e-07
0.4435451.759321.183992e-07
0.4456091.7585881.147037e-07
0.4476811.7578661.109910e-07
0.4497641.7571551.072611e-07
0.4518561.7564521.035138e-07
0.4539571.755769.974908e-08
0.4560691.7550779.596684e-08
0.458191.7544039.216702e-08
0.461.7538378.892500e-08
0.4603211.7537388.861105e-08
0.4624621.7530828.651876e-08
0.4646131.7524348.441674e-08
0.4667751.7517958.230494e-08
0.4689461.7511658.018332e-08
0.4711271.7505437.805183e-08
0.4733181.7499297.591043e-08
0.475521.7493237.375907e-08
0.4777321.7487247.159769e-08
0.4799541.7481346.942627e-08
0.481.7481216.938100e-08
0.4821861.747556.837037e-08
0.4844291.7469756.733352e-08
0.4866821.7464066.629185e-08
0.4889461.7458456.524533e-08
0.491221.7452916.419394e-08
0.4935051.7447436.313767e-08
0.49581.7442036.207648e-08
0.4981071.7436696.101035e-08
0.51.7432376.013500e-08
0.5004231.7431415.988614e-08
0.5027511.742625.851795e-08
0.5050891.7421065.714341e-08
0.5074391.7415985.576247e-08
0.5097991.7410955.437510e-08
0.512171.7405995.298128e-08
0.5145531.7401095.158098e-08
0.5169461.7396255.017417e-08
0.519351.7391464.876081e-08
0.5217661.7386734.734088e-08
0.5241931.7382064.591435e-08
0.5266311.7377444.448118e-08
0.5290811.7372884.304134e-08
0.5315421.7368374.159480e-08
0.5340141.7363914.014154e-08
0.5364981.735953.868152e-08
0.5389931.7355143.721471e-08
0.54151.7350843.574107e-08
0.5440191.7346583.426058e-08
0.5465491.7342373.277320e-08
0.5490921.7338213.127891e-08
0.551.7336743.074500e-08
0.5516461.733413.083699e-08
0.5542121.7330033.098043e-08
0.5567891.7326013.112453e-08
0.5593791.7322033.126930e-08
0.5619811.731813.141474e-08
0.5645951.7314213.156086e-08
0.5672211.7310363.170766e-08
0.5698591.7306563.185514e-08
0.572511.730283.200331e-08
0.5751731.7299073.215217e-08
0.5778481.7295393.230172e-08
0.5805361.7291753.245197e-08
0.5832361.7288153.260291e-08
0.5859491.7284593.275456e-08
0.5886751.7281073.290691e-08
0.5914131.7277583.305997e-08
0.5941641.7274133.321375e-08
0.5969271.7270723.336823e-08
0.5997041.7267353.352344e-08
0.61.7266993.354000e-08
0.6024931.7264013.316044e-08
0.6052961.726073.273380e-08
0.6081111.7257433.230518e-08
0.610941.7254193.187457e-08
0.6137811.7250993.144195e-08
0.6166361.7247823.100732e-08
0.6195041.7244693.057067e-08
0.6223861.7241583.013198e-08
0.6252811.7238512.969126e-08
0.6281891.7235472.924849e-08
0.6311111.7232462.880366e-08
0.6340471.7229482.835675e-08
0.6369961.7226532.790777e-08
0.6399591.7223612.745671e-08
0.6429351.7220722.700354e-08
0.6459261.7217862.654827e-08
0.648931.7215032.609087e-08
0.651.7214032.592800e-08
0.6519491.7212222.578763e-08
0.6549811.7209452.556917e-08
0.6580281.720672.534970e-08
0.6610881.7203982.512921e-08
0.6641631.7201282.490769e-08
0.6672521.7198612.468514e-08
0.6703561.7195972.446155e-08
0.6734741.7193352.423693e-08
0.6766071.7190762.401126e-08
0.6797541.7188192.378454e-08
0.6829151.7185652.355677e-08
0.6860921.7183132.332794e-08
0.6892831.7180642.309804e-08
0.6924891.7178172.286707e-08
0.695711.7175722.263503e-08
0.6989461.717332.240191e-08
0.71.7172522.232600e-08
0.7021971.717092.225571e-08
0.7054631.7168522.215123e-08
0.7087451.7166162.204625e-08
0.7120411.7163832.194080e-08
0.7153531.7161512.183485e-08
0.7186811.7159222.172841e-08
0.7220231.7156952.162147e-08
0.7253821.715472.151403e-08
0.7287561.7152472.140610e-08
0.7321461.7150262.129766e-08
0.7355511.7148072.118872e-08
0.7389721.714592.107928e-08
0.7424091.7143742.096932e-08
0.7458631.7141612.085885e-08
0.7493321.713952.074787e-08
0.7528171.713742.063637e-08
0.7563191.7135332.052436e-08
0.7598371.7133272.041182e-08
0.7633711.7131232.029876e-08
0.7669221.7129212.018517e-08
0.7704891.712722.007106e-08
0.7740731.7125211.995641e-08
0.7776731.7123241.984123e-08
0.781291.7121291.972552e-08
0.7849241.7119351.960927e-08
0.7885751.7117421.949247e-08
0.7922431.7115521.937514e-08
0.7959281.7113631.925725e-08
0.799631.7111751.913882e-08
0.81.7111571.912700e-08
0.803351.7109891.875283e-08
0.8070861.7108051.833545e-08
0.810841.7106221.791612e-08
0.8146121.710441.749485e-08
0.8184011.710261.707161e-08
0.8222081.7100821.664641e-08
0.8260321.7099051.621923e-08
0.8298741.7097291.579006e-08
0.8337341.7095541.535890e-08
0.8376121.7093811.492573e-08
0.8415081.709211.449054e-08
0.8454221.7090391.405333e-08
0.8493551.708871.361409e-08
0.851.7088431.354200e-08
0.8533051.7087021.359462e-08
0.8572741.7085361.365781e-08
0.8612621.7083711.372129e-08
0.8652681.7082061.378506e-08
0.8692921.7080441.384913e-08
0.8733361.7078821.391350e-08
0.8773981.7077211.397817e-08
0.8814791.7075621.404315e-08
0.8855791.7074041.410842e-08
0.8896981.7072471.417399e-08
0.8938361.7070911.423988e-08
0.8979941.7069361.430606e-08
0.91.7068621.433800e-08
0.9021711.7067821.437260e-08
0.9063671.7066291.443949e-08
0.9105831.7064771.450669e-08
0.9148181.7063271.457420e-08
0.9190731.7061771.464203e-08
0.9233481.7060281.471017e-08
0.9276431.705881.477863e-08
0.9319581.7057341.484741e-08
0.9362931.7055881.491651e-08
0.9406481.7054431.498593e-08
0.9450231.7052991.505567e-08
0.9494191.7051561.512573e-08
0.951.7051371.513500e-08
0.9538351.7050141.519605e-08
0.9582711.7048721.526668e-08
0.9627291.7047321.533764e-08
0.9672071.7045921.540893e-08
0.9717051.7044531.548055e-08
0.9762251.7043151.555250e-08
0.9807661.7041781.562479e-08
0.9853281.7040421.569742e-08
0.9899111.7039061.577038e-08
0.9945151.7037711.584368e-08
0.9991411.7036371.591732e-08
11.7036121.593100e-08
1.003791.7035041.599136e-08
1.008461.7033711.606575e-08
1.013151.7032391.614049e-08
1.017861.7031081.621558e-08
1.022591.7029771.629101e-08
1.027351.7028471.636680e-08
1.032131.7027181.644293e-08
1.036931.702591.651943e-08
1.041751.7024621.659628e-08
1.04661.7023341.667348e-08
1.051471.7022071.675105e-08
1.056361.7020811.682897e-08
1.061.7019881.688700e-08
1.061271.7019561.690726e-08
1.066211.701831.698593e-08
1.071171.7017061.706496e-08
1.076151.7015821.714435e-08
1.081151.7014591.722412e-08
1.086181.7013361.730426e-08
1.091241.7012131.738477e-08
1.096311.7010911.746565e-08
1.101411.700971.754691e-08
1.106531.7008491.762855e-08
1.111681.7007281.771057e-08
1.116851.7006081.779297e-08
1.122051.7004891.787576e-08
1.127271.7003691.795892e-08
1.132511.7002511.804248e-08
1.137781.7001321.812642e-08
1.143071.7000141.821076e-08
1.148391.6998961.829549e-08
1.153731.6997791.838061e-08
1.159091.6996621.846612e-08
1.164481.6995461.855204e-08
1.16991.6994291.863835e-08
1.175341.6993131.872507e-08
1.180811.6991981.881219e-08
1.18631.6990821.889971e-08
1.191821.6989671.898764e-08
1.197361.6988521.907598e-08
1.21.6987981.911800e-08
1.202931.6987381.965653e-08
1.208531.6986242.068398e-08
1.214151.698512.171621e-08
1.21981.6983962.275325e-08
1.225471.6982822.379510e-08
1.231171.6981692.484181e-08
1.23691.6980562.589338e-08
1.242651.6979432.694984e-08
1.248431.697832.801122e-08
1.254241.6977172.907753e-08
1.260071.6976053.014881e-08
1.265931.6974923.122506e-08
1.271821.697383.230632e-08
1.277741.6972683.339262e-08
1.283681.6971563.448396e-08
1.289651.6970443.558038e-08
1.295651.6969323.668190e-08
1.301671.6968213.778855e-08
1.307731.6967093.890034e-08
1.313811.6965974.001730e-08
1.319921.6964864.113946e-08
1.326061.6963744.226684e-08
1.332231.6962634.339946e-08
1.338431.6961514.453735e-08
1.344651.696044.568053e-08
1.350911.6959284.682903e-08
1.357191.6958174.798287e-08
1.36351.6957054.914208e-08
1.369851.6955945.030668e-08
1.376221.6954825.147670e-08
1.382621.6953715.265216e-08
1.389051.6952595.383308e-08
1.395511.6951475.501950e-08
1.41.695075.584400e-08
1.4021.6950355.630849e-08
1.408521.6949235.782225e-08
1.415071.6948115.934305e-08
1.421661.6946996.087092e-08
1.428271.6945876.240590e-08
1.434911.6944746.394802e-08
1.441591.6943616.549732e-08
1.448291.6942496.705382e-08
1.455031.6941366.861756e-08
1.46181.6940227.018857e-08
1.468591.6939097.176689e-08
1.475431.6937967.335255e-08
1.482291.6936827.494559e-08
1.489181.6935687.654603e-08
1.496111.6934537.815392e-08
1.503071.6933397.976929e-08
1.510061.6932248.139218e-08
1.517081.6931098.302261e-08
1.524141.6929948.466062e-08
1.531231.6928788.630626e-08
1.538351.6927628.795955e-08
1.545511.6926468.962052e-08
1.55271.6925299.128923e-08
1.559921.6924129.296569e-08
1.567171.6922959.464996e-08
1.574461.6921779.634206e-08
1.581791.6920599.804202e-08
1.589141.6919419.974990e-08
1.596541.6918221.014657e-07
1.61.6917661.022700e-07
1.603961.6917031.074271e-07
1.611421.6915831.171400e-07
1.618921.6914631.268981e-07
1.626451.6913431.367015e-07
1.634011.6912221.465506e-07
1.641611.69111.564455e-07
1.649251.6909781.663864e-07
1.656921.6908561.763735e-07
1.664631.6907331.864071e-07
1.672371.690611.964874e-07
1.680151.6904862.066145e-07
1.687961.6903612.167887e-07
1.695811.6902362.270103e-07
1.70371.6901112.372794e-07
1.711631.6899842.475963e-07
1.719591.6898582.579612e-07
1.727591.689732.683743e-07
1.735621.6896022.788358e-07
1.743691.6894742.893459e-07
1.751811.6893452.999050e-07
1.759951.6892153.105132e-07
1.768141.6890843.211707e-07
1.776361.6889533.318778e-07
1.784631.6888213.426347e-07
1.792931.6886883.534416e-07
1.81.6885753.626500e-07
1.801271.6885553.646778e-07
1.809641.6884213.780931e-07
1.818061.6882863.915708e-07
1.826521.6881514.051112e-07
1.835011.6880144.187146e-07
1.843551.6878774.323813e-07
1.852121.6877394.461115e-07
1.860741.6876014.599056e-07
1.869391.6874614.737638e-07
1.878091.6873214.876865e-07
1.886821.6871795.016740e-07
1.89561.6870375.157265e-07
1.904421.6868945.298444e-07
1.913281.686755.440280e-07
1.922181.6866065.582775e-07
1.931121.686465.725933e-07
1.94011.6863135.869757e-07
1.949121.6861666.014250e-07
1.958191.6860176.159415e-07
1.96731.6858686.305255e-07
1.976451.6857176.451774e-07
1.985641.6855656.598974e-07
1.994881.6854136.746858e-07
21.6853286.828900e-07
2.004161.6852597.014093e-07
2.013481.6851047.429579e-07
2.022841.6849497.846997e-07
2.032251.6847928.266357e-07
2.04171.6846348.687667e-07
2.05121.6844749.110937e-07
2.060741.6843149.536176e-07
2.070331.6841539.963393e-07
2.079961.683991.039260e-06
2.089631.6838261.082380e-06
2.099351.6836611.125700e-06
2.109121.6834951.169222e-06
2.118931.6833271.212947e-06
2.128781.6831591.256875e-06
2.138681.6829881.301007e-06
2.148631.6828171.345344e-06
2.158621.6826441.389888e-06
2.168671.682471.434639e-06
2.178751.6822951.479598e-06
2.188891.6821181.524766e-06
2.199071.681941.570145e-06
2.21.6819231.574300e-06
2.20931.681761.622715e-06
2.219571.6815791.676233e-06
2.22991.6813971.730000e-06
2.240271.6812131.784018e-06
2.250691.6810271.838286e-06
2.261161.680841.892807e-06
2.271671.6806521.947582e-06
2.282241.6804622.002611e-06
2.292861.680272.057896e-06
2.303521.6800772.113439e-06
2.314241.6798822.169240e-06
2.3251.6796852.225300e-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
—