Optical constants

Refractive index of H-ZF50 (CDGM)

H-ZF50: 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
1.74076
Extinction coefficient k
2.92327e-08
Permittivity ε1
3.03026
Permittivity ε2
1.01775e-07
Absorption coefficient α
0.00625169 cm⁻¹
Penetration depth δ = λ/(2πk)
3.19914e+09 nm
Abbe number Vd
27.76
Chromatic dispersion dn/dλ
-0.133865 µm⁻¹
Group index ng
1.81942
Group velocity dispersion
272.661 fs²/mm
Dispersion parameter D
-1487.51 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-ZF50 (CDGM): H-ZF50
cdgm_h_zf50 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZF50", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zf50.range_nm)  # (365, 2325) nm
eps = cdgm_h_zf50.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=1.38419227λ2λ2−121.210226+0.216862697λ2λ2−0.0642534343+1.69855074λ2λ2−0.0135195855

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C21.38419227
C3121.210226
C40.216862697
C50.0642534343
C61.69855074
C70.0135195855

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -4.21e-06 1.99e-08 -3e-11 8.92e-07 3.64e-10 0.294
nd
1.740770
Vd
27.760063
glass code
741278
density
value: 3100
thermal expansion
value: 9.5e-06, temperature range: 243 343; value: 1.13e-05, temperature range: 293 573
dPgF
0.0109
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -7.95e-07 K⁻¹ at 633 nm, dn/dT = -2.06e-06 K⁻¹ at 1310 nm, dn/dT = -2.14e-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-ZF50 (CDGM), H-ZF50: n and k versus wavelength
λ (µm)nk
0.3651.8187230
0.3666981.8171940
0.3684031.8156960
0.371.8143265.115200e-06
0.3701171.8142265.076590e-06
0.3718381.8127864.508156e-06
0.3735681.8113733.937078e-06
0.3753061.8099863.363343e-06
0.3770511.8086262.786941e-06
0.3788051.8072912.207857e-06
0.381.8063991.813300e-06
0.3805671.805981.753306e-06
0.3823371.8046941.566013e-06
0.3841161.803431.377848e-06
0.3859021.8021891.188808e-06
0.3876971.800979.988892e-07
0.38951.7997728.080867e-07
0.391.7994447.552300e-07
0.3913121.7985947.100006e-07
0.3931321.7974376.472610e-07
0.3949611.79635.842296e-07
0.3967981.7951825.209050e-07
0.3986441.7940824.572858e-07
0.41.7932894.105300e-07
0.4004981.7930014.047542e-07
0.4023611.7919373.831406e-07
0.4042321.7908913.614263e-07
0.4061121.7898623.396111e-07
0.4080011.7888493.176944e-07
0.4098991.7878522.956758e-07
0.4118061.7868712.735547e-07
0.4137211.7859052.513308e-07
0.4156451.7849542.290035e-07
0.4175791.7840182.065723e-07
0.4195211.7830961.840368e-07
0.421.7828711.784800e-07
0.4214721.7821881.739907e-07
0.4234331.7812941.680134e-07
0.4254021.7804131.620083e-07
0.4273811.7795451.559753e-07
0.4293691.7786911.499142e-07
0.4313661.7778481.438249e-07
0.4333721.7770181.377073e-07
0.4353881.77621.315613e-07
0.4374131.7753941.253867e-07
0.4394481.7745991.191833e-07
0.441.7743861.175000e-07
0.4414921.7738161.156483e-07
0.4435451.7730431.130996e-07
0.4456091.7722821.105390e-07
0.4476811.7715311.079665e-07
0.4497641.770791.053820e-07
0.4518561.770061.027855e-07
0.4539571.769341.001770e-07
0.4560691.7686299.755627e-08
0.458191.7679289.492338e-08
0.461.767349.267700e-08
0.4603211.7672379.230278e-08
0.4624621.7665558.980882e-08
0.4646131.7658828.730326e-08
0.4667751.7652188.478604e-08
0.4689461.7645628.225712e-08
0.4711271.7639157.971643e-08
0.4733181.7632777.716393e-08
0.475521.7626477.459955e-08
0.4777321.7620257.202325e-08
0.4799541.7614126.943496e-08
0.481.7613996.938100e-08
0.4821861.7608066.837037e-08
0.4844291.7602076.733352e-08
0.4866821.7596176.629185e-08
0.4889461.7590346.524533e-08
0.491221.7584586.419394e-08
0.4935051.7578896.313767e-08
0.49581.7573276.207648e-08
0.4981071.7567736.101035e-08
0.51.7563256.013500e-08
0.5004231.7562255.988614e-08
0.5027511.7556845.851795e-08
0.5050891.755155.714341e-08
0.5074391.7546225.576247e-08
0.5097991.75415.437510e-08
0.512171.7535855.298128e-08
0.5145531.7530765.158098e-08
0.5169461.7525735.017417e-08
0.519351.7520774.876081e-08
0.5217661.7515864.734088e-08
0.5241931.75114.591435e-08
0.5266311.7506214.448118e-08
0.5290811.7501474.304134e-08
0.5315421.7496794.159480e-08
0.5340141.7492164.014154e-08
0.5364981.7487593.868152e-08
0.5389931.7483073.721471e-08
0.54151.747863.574107e-08
0.5440191.7474183.426058e-08
0.5465491.7469813.277320e-08
0.5490921.7465493.127891e-08
0.551.7463973.074500e-08
0.5516461.7461223.067881e-08
0.5542121.74573.057561e-08
0.5567891.7452833.047193e-08
0.5593791.744873.036777e-08
0.5619811.7444623.026312e-08
0.5645951.7440593.015799e-08
0.5672211.743663.005237e-08
0.5698591.7432652.994625e-08
0.572511.7428752.983964e-08
0.5751731.7424892.973254e-08
0.5778481.7421072.962494e-08
0.5805361.741732.951684e-08
0.5832361.7413562.940823e-08
0.5859491.7409872.929912e-08
0.5886751.7406212.918951e-08
0.5914131.740262.907938e-08
0.5941641.7399022.896874e-08
0.5969271.7395492.885759e-08
0.5997041.7391982.874591e-08
0.61.7391612.873400e-08
0.6024931.7388522.911301e-08
0.6052961.7385092.953903e-08
0.6081111.738172.996704e-08
0.610941.7378353.039703e-08
0.6137811.7375033.082902e-08
0.6166361.7371743.126302e-08
0.6195041.7368493.169904e-08
0.6223861.7365273.213709e-08
0.6252811.7362093.257718e-08
0.6281891.7358933.301931e-08
0.6311111.7355813.346350e-08
0.6340471.7352733.390976e-08
0.6369961.7349673.435809e-08
0.6399591.7346643.480850e-08
0.6429351.7343653.526101e-08
0.6459261.7340683.571563e-08
0.648931.7337753.617236e-08
0.651.7336713.633500e-08
0.6519491.7334843.600714e-08
0.6549811.7331963.549690e-08
0.6580281.7329113.498429e-08
0.6610881.7326293.446930e-08
0.6641631.732353.395191e-08
0.6672521.7320733.343211e-08
0.6703561.73183.290990e-08
0.6734741.7315283.238526e-08
0.6766071.731263.185817e-08
0.6797541.7309943.132864e-08
0.6829151.730733.079664e-08
0.6860921.7304693.026217e-08
0.6892831.7302112.972521e-08
0.6924891.7299552.918576e-08
0.695711.7297022.864379e-08
0.6989461.729452.809931e-08
0.71.7293692.792200e-08
0.7021971.7292022.772875e-08
0.7054631.7289552.744149e-08
0.7087451.7287112.715290e-08
0.7120411.7284692.686296e-08
0.7153531.7282292.657168e-08
0.7186811.7279922.627904e-08
0.7220231.7277572.598504e-08
0.7253821.7275232.568967e-08
0.7287561.7272922.539292e-08
0.7321461.7270632.509480e-08
0.7355511.7268372.479529e-08
0.7389721.7266122.449439e-08
0.7424091.7263892.419209e-08
0.7458631.7261682.388838e-08
0.7493321.7259492.358326e-08
0.7528171.7257322.327672e-08
0.7563191.7255172.296875e-08
0.7598371.7253042.265935e-08
0.7633711.7250932.234852e-08
0.7669221.7248832.203623e-08
0.7704891.7246752.172250e-08
0.7740731.7244692.140730e-08
0.7776731.7242652.109064e-08
0.781291.7240632.077251e-08
0.7849241.7238622.045289e-08
0.7885751.7236632.013179e-08
0.7922431.7234651.980920e-08
0.7959281.723271.948510e-08
0.799631.7230761.915950e-08
0.81.7230561.912700e-08
0.803351.7228831.875283e-08
0.8070861.7226921.833545e-08
0.810841.7225031.791612e-08
0.8146121.7223151.749485e-08
0.8184011.7221281.707161e-08
0.8222081.7219431.664641e-08
0.8260321.721761.621923e-08
0.8298741.7215781.579006e-08
0.8337341.7213971.535890e-08
0.8376121.7212181.492573e-08
0.8415081.721041.449054e-08
0.8454221.7208641.405333e-08
0.8493551.7206891.361409e-08
0.851.720661.354200e-08
0.8533051.7205151.359462e-08
0.8572741.7203431.365781e-08
0.8612621.7201711.372129e-08
0.8652681.7200011.378506e-08
0.8692921.7198331.384913e-08
0.8733361.7196651.391350e-08
0.8773981.7194991.397817e-08
0.8814791.7193341.404315e-08
0.8855791.719171.410842e-08
0.8896981.7190081.417399e-08
0.8938361.7188461.423988e-08
0.8979941.7186861.430606e-08
0.91.7186091.433800e-08
0.9021711.7185271.437260e-08
0.9063671.7183681.443949e-08
0.9105831.7182111.450669e-08
0.9148181.7180551.457420e-08
0.9190731.71791.464203e-08
0.9233481.7177461.471017e-08
0.9276431.7175931.477863e-08
0.9319581.7174421.484741e-08
0.9362931.7172911.491651e-08
0.9406481.7171411.498593e-08
0.9450231.7169911.505567e-08
0.9494191.7168431.512573e-08
0.951.7168241.513500e-08
0.9538351.7166961.519605e-08
0.9582711.716551.526668e-08
0.9627291.7164041.533764e-08
0.9672071.716261.540893e-08
0.9717051.7161161.548055e-08
0.9762251.7159731.555250e-08
0.9807661.7158311.562479e-08
0.9853281.715691.569742e-08
0.9899111.715551.577038e-08
0.9945151.715411.584368e-08
0.9991411.7152711.591732e-08
11.7152461.593100e-08
1.003791.7151331.599136e-08
1.008461.7149961.606575e-08
1.013151.7148591.614049e-08
1.017861.7147241.621558e-08
1.022591.7145881.629101e-08
1.027351.7144541.636680e-08
1.032131.714321.644293e-08
1.036931.7141871.651943e-08
1.041751.7140541.659628e-08
1.04661.7139231.667348e-08
1.051471.7137911.675105e-08
1.056361.7136611.682897e-08
1.061.7135641.688700e-08
1.061271.7135311.690726e-08
1.066211.7134011.698593e-08
1.071171.7132721.706496e-08
1.076151.7131441.714435e-08
1.081151.7130161.722412e-08
1.086181.7128891.730426e-08
1.091241.7127621.738477e-08
1.096311.7126361.746565e-08
1.101411.712511.754691e-08
1.106531.7123851.762855e-08
1.111681.712261.771057e-08
1.116851.7121361.779297e-08
1.122051.7120121.787576e-08
1.127271.7118891.795892e-08
1.132511.7117661.804248e-08
1.137781.7116431.812642e-08
1.143071.7115211.821076e-08
1.148391.7113991.829549e-08
1.153731.7112781.838061e-08
1.159091.7111571.846612e-08
1.164481.7110361.855204e-08
1.16991.7109161.863835e-08
1.175341.7107961.872507e-08
1.180811.7106761.881219e-08
1.18631.7105571.889971e-08
1.191821.7104381.898764e-08
1.197361.7103191.907598e-08
1.21.7102631.911800e-08
1.202931.71021.982079e-08
1.208531.7100822.116163e-08
1.214151.7099642.250871e-08
1.21981.7098462.386205e-08
1.225471.7097282.522169e-08
1.231171.7096112.658766e-08
1.23691.7094942.795997e-08
1.242651.7093772.933867e-08
1.248431.709263.072379e-08
1.254241.7091443.211534e-08
1.260071.7090273.351337e-08
1.265931.7089113.491790e-08
1.271821.7087953.632897e-08
1.277741.7086793.774660e-08
1.283681.7085633.917082e-08
1.289651.7084474.060166e-08
1.295651.7083314.203916e-08
1.301671.7082154.348335e-08
1.307731.70814.493426e-08
1.313811.7079844.639191e-08
1.319921.7078694.785635e-08
1.326061.7077534.932759e-08
1.332231.7076385.080568e-08
1.338431.7075235.229064e-08
1.344651.7074075.378251e-08
1.350911.7072925.528132e-08
1.357191.7071765.678710e-08
1.36351.7070615.829989e-08
1.369851.7069465.981971e-08
1.376221.706836.134660e-08
1.382621.7067146.288059e-08
1.389051.7065996.442172e-08
1.395511.7064836.597002e-08
1.41.7064036.704600e-08
1.4021.7063676.752688e-08
1.408521.7062516.909405e-08
1.415071.7061357.066850e-08
1.421661.7060197.225028e-08
1.428271.7059037.383942e-08
1.434911.7057867.543595e-08
1.441591.705677.703990e-08
1.448291.7055537.865132e-08
1.455031.7054368.027023e-08
1.46181.7053198.189667e-08
1.468591.7052018.353068e-08
1.475431.7050848.517228e-08
1.482291.7049668.682153e-08
1.489181.7048488.847844e-08
1.496111.7047299.014306e-08
1.503071.7046119.181542e-08
1.510061.7044929.349556e-08
1.517081.7043739.518352e-08
1.524141.7042539.687933e-08
1.531231.7041349.858302e-08
1.538351.7040131.002946e-07
1.545511.7038931.020142e-07
1.55271.7037721.037418e-07
1.559921.7036511.054774e-07
1.567171.703531.072211e-07
1.574461.7034081.089729e-07
1.581791.7032861.107329e-07
1.589141.7031631.125010e-07
1.596541.703041.142773e-07
1.61.7029821.151100e-07
1.603961.7029171.200128e-07
1.611421.7027931.292467e-07
1.618921.7026681.385236e-07
1.626451.7025441.478436e-07
1.634011.7024181.572070e-07
1.641611.7022921.666139e-07
1.649251.7021661.760646e-07
1.656921.7020391.855593e-07
1.664631.7019121.950981e-07
1.672371.7017842.046813e-07
1.680151.7016562.143090e-07
1.687961.7015272.239815e-07
1.695811.7013982.336991e-07
1.70371.7012672.434618e-07
1.711631.7011372.532699e-07
1.719591.7010052.631237e-07
1.727591.7008742.730232e-07
1.735621.7007412.829689e-07
1.743691.7006082.929608e-07
1.751811.7004743.029991e-07
1.759951.7003393.130842e-07
1.768141.7002043.232161e-07
1.776361.7000683.333952e-07
1.784631.6999323.436217e-07
1.792931.6997943.538957e-07
1.81.6996773.626500e-07
1.801271.6996563.646778e-07
1.809641.6995173.780931e-07
1.818061.6993783.915708e-07
1.826521.6992374.051112e-07
1.835011.6990964.187146e-07
1.843551.6989544.323813e-07
1.852121.6988114.461115e-07
1.860741.6986674.599056e-07
1.869391.6985234.737638e-07
1.878091.6983774.876865e-07
1.886821.6982315.016740e-07
1.89561.6980845.157265e-07
1.904421.6979365.298444e-07
1.913281.6977875.440280e-07
1.922181.6976375.582775e-07
1.931121.6974865.725933e-07
1.94011.6973345.869757e-07
1.949121.6971816.014250e-07
1.958191.6970276.159415e-07
1.96731.6968726.305255e-07
1.976451.6967166.451774e-07
1.985641.6965596.598974e-07
1.994881.69646.746858e-07
21.6963136.828900e-07
2.004161.6962417.018082e-07
2.013481.6960817.442517e-07
2.022841.6959197.868926e-07
2.032251.6957578.297318e-07
2.04171.6955938.727703e-07
2.05121.6954289.160090e-07
2.060741.6952629.594488e-07
2.070331.6950951.003091e-06
2.079961.6949261.046935e-06
2.089631.6947561.090984e-06
2.099351.6945851.135238e-06
2.109121.6944131.179697e-06
2.118931.6942391.224364e-06
2.128781.6940641.269238e-06
2.138681.6938881.314321e-06
2.148631.693711.359613e-06
2.158621.6935311.405116e-06
2.168671.6933511.450831e-06
2.178751.6931691.496758e-06
2.188891.6929861.542899e-06
2.199071.6928011.589255e-06
2.21.6927841.593500e-06
2.20931.6926151.641022e-06
2.219571.6924271.693554e-06
2.22991.6922381.746330e-06
2.240271.6920471.799352e-06
2.250691.6918551.852620e-06
2.261161.6916611.906136e-06
2.271671.6914661.959901e-06
2.282241.6912692.013916e-06
2.292861.691072.068182e-06
2.303521.690872.122701e-06
2.314241.6906682.177473e-06
2.3251.6904642.232500e-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
—