Optical constants

Refractive index of H-ZF13 (CDGM)

H-ZF13: n,k 0.4047–2.325 µm

Data
formula 2 + tabulated k
Range
0.4047–2.325 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.4047–2.325 µm
Refractive index n
1.78471
Extinction coefficient k
3.03264e-08
Permittivity ε1
3.1852
Permittivity ε2
1.08248e-07
Absorption coefficient α
0.00648558 cm⁻¹
Penetration depth δ = λ/(2πk)
3.08376e+09 nm
Abbe number Vd
25.72
Chromatic dispersion dn/dλ
-0.152598 µm⁻¹
Group index ng
1.87438
Group velocity dispersion
315.3 fs²/mm
Dispersion parameter D
-1720.13 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-ZF13 (CDGM): H-ZF13
cdgm_h_zf13 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZF13", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zf13.range_nm)  # (404.7, 2325) nm
eps = cdgm_h_zf13.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=1.73521591λ2λ2−0.0131087904+0.316277446λ2λ2−0.0621421663+2.16384634λ2λ2−178.845558

Valid from 0.4047 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C21.73521591
C30.0131087904
C40.316277446
C50.0621421663
C62.16384634
C7178.845558

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -5.4e-06 1.34e-08 -3.56e-11 1.01e-06 1.25e-09 0.291
nd
1.784720
Vd
25.720045
glass code
785257
glass status
standard
density
value: 3250
thermal expansion
value: 8.6e-06, temperature range: 243 343; value: 1.06e-05, temperature range: 293 573
dPgF
0.0138
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -1.34e-06 K⁻¹ at 633 nm, dn/dT = -2.81e-06 K⁻¹ at 1310 nm, dn/dT = -2.90e-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 421 wavelengths, the same grid as the API and the library
H-ZF13 (CDGM), H-ZF13: n and k versus wavelength
λ (µm)nk
0.40471.842245.794690e-07
0.4064771.8411125.449531e-07
0.4082621.8400025.102857e-07
0.4100551.8389094.754661e-07
0.4118561.8378324.404936e-07
0.4136641.8367724.053675e-07
0.4154811.8357273.700871e-07
0.4173051.8346983.346518e-07
0.4191381.8336842.990609e-07
0.421.8332142.823200e-07
0.4209791.8326852.762149e-07
0.4228271.8317012.646819e-07
0.4246841.830732.530982e-07
0.4265491.8297742.414637e-07
0.4284221.8288312.297781e-07
0.4303041.8279012.180412e-07
0.4321931.8269852.062527e-07
0.4340911.8260811.944125e-07
0.4359971.825191.825202e-07
0.4379121.8243121.705758e-07
0.4398351.8234451.585789e-07
0.441.8233721.575500e-07
0.4417671.822591.531495e-07
0.4437071.8217471.483170e-07
0.4456551.8209161.434633e-07
0.4476121.8200951.385883e-07
0.4495781.8192851.336919e-07
0.4515521.8184871.287740e-07
0.4535351.8176981.238345e-07
0.4555271.816921.188733e-07
0.4575271.8161531.138903e-07
0.4595361.8153951.088855e-07
0.461.8152221.077300e-07
0.4615541.8146471.059615e-07
0.4635811.8139091.036552e-07
0.4656171.813181.013387e-07
0.4676611.8124619.901200e-08
0.4697151.811759.667511e-08
0.4717781.8110499.432796e-08
0.473851.8103569.197050e-08
0.475931.8096728.960269e-08
0.478021.8089978.722448e-08
0.481.8083688.497200e-08
0.480121.808338.487178e-08
0.4822281.8076718.310600e-08
0.4843461.8070218.133247e-08
0.4864731.8063787.955114e-08
0.4886091.8057437.776200e-08
0.4907551.8051167.596500e-08
0.492911.8044977.416011e-08
0.4950741.8038847.234729e-08
0.4972481.803287.052651e-08
0.4994321.8026826.869773e-08
0.51.8025286.822200e-08
0.5016251.8020926.714721e-08
0.5038281.8015086.569039e-08
0.5060411.8009326.422717e-08
0.5082631.8003626.275753e-08
0.5104951.7997986.128143e-08
0.5127361.7992425.979885e-08
0.5149881.7986925.830976e-08
0.517251.7981485.681413e-08
0.5195211.797615.531193e-08
0.5218021.7970795.380314e-08
0.5240941.7965535.228772e-08
0.5263951.7960345.076564e-08
0.5287071.7955214.923688e-08
0.5310291.7950134.770141e-08
0.5333611.7945114.615920e-08
0.5357031.7940144.461021e-08
0.5380551.7935244.305442e-08
0.5404181.7930384.149180e-08
0.5427911.7925583.992231e-08
0.5451751.7920843.834593e-08
0.5475691.7916143.676264e-08
0.5499741.791153.517238e-08
0.551.7911453.515500e-08
0.5523891.790693.484822e-08
0.5548151.7902363.453671e-08
0.5572511.7897873.422382e-08
0.5596981.7893423.390957e-08
0.5621561.7889033.359393e-08
0.5646251.7884683.327690e-08
0.5671041.7880373.295849e-08
0.5695951.7876123.263867e-08
0.5720961.787193.231746e-08
0.5746081.7867743.199483e-08
0.5771311.7863613.167078e-08
0.5796661.7859533.134531e-08
0.5822111.7855493.101841e-08
0.5847681.785153.069008e-08
0.5873361.7847543.036030e-08
0.5899151.7843633.002908e-08
0.5925061.7839762.969640e-08
0.5951081.7835932.936226e-08
0.5977211.7832132.902666e-08
0.61.7828872.873400e-08
0.6003461.7828382.871459e-08
0.6029821.7824662.856663e-08
0.605631.7820992.841803e-08
0.608291.7817352.826878e-08
0.6109611.7813742.811887e-08
0.6136441.7810172.796830e-08
0.6163391.7806642.781707e-08
0.6190451.7803152.766518e-08
0.6217641.7799682.751262e-08
0.6244941.7796262.735939e-08
0.6272371.7792862.720548e-08
0.6299911.778952.705090e-08
0.6327581.7786182.689564e-08
0.6355361.7782882.673971e-08
0.6383271.7779622.658308e-08
0.641131.7776392.642577e-08
0.6439461.7773192.626776e-08
0.6467741.7770022.610907e-08
0.6496141.7766892.594967e-08
0.651.7766462.592800e-08
0.6524671.7763782.575031e-08
0.6553321.776072.554390e-08
0.658211.7757652.533658e-08
0.66111.7754642.512835e-08
0.6640031.7751642.491921e-08
0.6669191.7748682.470915e-08
0.6698481.7745752.449817e-08
0.6727891.7742842.428626e-08
0.6757441.7739962.407342e-08
0.6787111.7737112.385964e-08
0.6816921.7734282.364493e-08
0.6846851.7731482.342927e-08
0.6876921.7728712.321266e-08
0.6907121.7725962.299511e-08
0.6937451.7723242.277660e-08
0.6967921.7720542.255713e-08
0.6998521.7717872.233669e-08
0.71.7717742.232600e-08
0.7029251.7715222.204577e-08
0.7060121.7712592.175002e-08
0.7091121.7709992.145297e-08
0.7122261.7707412.115462e-08
0.7153541.7704862.085496e-08
0.7184951.7702322.055398e-08
0.721651.7699812.025168e-08
0.7248191.7697321.994806e-08
0.7280021.7694861.964310e-08
0.7311991.7692411.933680e-08
0.734411.7689991.902915e-08
0.7376351.7687591.872016e-08
0.7408751.768521.840981e-08
0.7441281.7682841.809809e-08
0.7473961.768051.778501e-08
0.7506781.7678181.747055e-08
0.7539741.7675881.715471e-08
0.7572851.767361.683748e-08
0.7606111.7671341.651886e-08
0.7639511.7669091.619884e-08
0.7673061.7666871.587742e-08
0.7706751.7664661.555458e-08
0.774061.7662481.523033e-08
0.7774591.7660311.490465e-08
0.7808731.7658151.457755e-08
0.7843021.7656021.424900e-08
0.7877461.765391.391901e-08
0.7912061.765181.358758e-08
0.794681.7649721.325469e-08
0.798171.7647661.292033e-08
0.81.7646581.274500e-08
0.8016751.7645611.277170e-08
0.8051961.7643571.282782e-08
0.8087311.7641561.288418e-08
0.8122831.7639561.294079e-08
0.815851.7637571.299765e-08
0.8194331.763561.305476e-08
0.8230311.7633651.311212e-08
0.8266451.7631711.316973e-08
0.8302761.7629781.322759e-08
0.8339221.7627871.328571e-08
0.8375841.7625981.334408e-08
0.8412621.762411.340271e-08
0.8449561.7622231.346160e-08
0.8486671.7620381.352075e-08
0.851.7619721.354200e-08
0.8523931.7618541.358010e-08
0.8561371.7616711.363970e-08
0.8598961.761491.369955e-08
0.8636721.761311.375967e-08
0.8674651.7611321.382005e-08
0.8712751.7609541.388069e-08
0.8751011.7607781.394160e-08
0.8789441.7606031.400278e-08
0.8828031.760431.406423e-08
0.886681.7602571.412595e-08
0.8905741.7600861.418794e-08
0.8944851.7599161.425020e-08
0.8984131.7597481.431273e-08
0.91.759681.433800e-08
0.9023581.759581.437559e-08
0.9063211.7594131.443875e-08
0.9103011.7592481.450219e-08
0.9142981.7590841.456591e-08
0.9183131.7589211.462991e-08
0.9223461.7587581.469419e-08
0.9263961.7585971.475876e-08
0.9304641.7584371.482360e-08
0.934551.7582781.488873e-08
0.9386541.758121.495415e-08
0.9427761.7579631.501986e-08
0.9469161.7578071.508585e-08
0.951.7576921.513500e-08
0.9510751.7576521.515211e-08
0.9552511.7574981.521860e-08
0.9594461.7573451.528538e-08
0.963661.7571931.535246e-08
0.9678911.7570421.541983e-08
0.9721421.7568911.548750e-08
0.9764111.7567421.555546e-08
0.9806991.7565931.562372e-08
0.9850051.7564451.569228e-08
0.9893311.7562981.576115e-08
0.9936751.7561521.583031e-08
0.9980391.7560071.589978e-08
11.7559421.593100e-08
1.002421.7558621.596959e-08
1.006821.7557181.603972e-08
1.011251.7555751.611017e-08
1.015691.7554331.618093e-08
1.020151.7552921.625199e-08
1.024631.7551511.632337e-08
1.029131.7550111.639507e-08
1.033641.7548721.646707e-08
1.038181.7547331.653940e-08
1.042741.7545951.661204e-08
1.047321.7544581.668500e-08
1.051921.7543211.675828e-08
1.056541.7541861.683188e-08
1.061.7540851.688700e-08
1.061181.754051.690581e-08
1.065841.7539161.698007e-08
1.070521.7537821.705466e-08
1.075221.7536481.712957e-08
1.079941.7535151.720482e-08
1.084691.7533831.728039e-08
1.089451.7532511.735630e-08
1.094231.753121.743254e-08
1.099041.752991.750911e-08
1.103871.7528591.758602e-08
1.108711.752731.766327e-08
1.113581.7526011.774086e-08
1.118471.7524721.781879e-08
1.123381.7523441.789706e-08
1.128321.7522171.797567e-08
1.133271.7520891.805463e-08
1.138251.7519631.813394e-08
1.143251.7518371.821359e-08
1.148271.7517111.829360e-08
1.153311.7515851.837395e-08
1.158371.751461.845466e-08
1.163461.7513361.853572e-08
1.168571.7512121.861714e-08
1.17371.7510881.869892e-08
1.178861.7509641.878106e-08
1.184031.7508411.886355e-08
1.189231.7507191.894641e-08
1.194451.7505961.902963e-08
1.19971.7504741.911322e-08
1.21.7504671.911800e-08
1.204971.7503521.919715e-08
1.210261.7502311.928144e-08
1.215571.750111.936610e-08
1.220911.7499891.945114e-08
1.226271.7498681.953655e-08
1.231661.7497481.962233e-08
1.237071.7496281.970849e-08
1.24251.7495081.979503e-08
1.247961.7493881.988195e-08
1.253441.7492691.996925e-08
1.258941.7491492.005694e-08
1.264471.749032.014500e-08
1.270021.7489122.023346e-08
1.27561.7487932.032230e-08
1.28121.7486752.041154e-08
1.286831.7485562.050117e-08
1.292481.7484382.059119e-08
1.298151.748322.068160e-08
1.303861.7482022.077241e-08
1.309581.7480842.086362e-08
1.315331.7479672.095524e-08
1.321111.7478492.104725e-08
1.326911.7477322.113967e-08
1.332741.7476142.123249e-08
1.338591.7474972.132572e-08
1.344471.747382.141936e-08
1.350371.7472632.151342e-08
1.35631.7471452.160788e-08
1.362261.7470282.170276e-08
1.368241.7469112.179806e-08
1.374251.7467942.189377e-08
1.380281.7466772.198991e-08
1.386341.746562.208646e-08
1.392431.7464432.218345e-08
1.398551.7463262.228085e-08
1.41.7462982.230400e-08
1.404691.7462082.237869e-08
1.410861.7460912.247695e-08
1.417051.7459742.257565e-08
1.423281.7458572.267478e-08
1.429531.7457392.277434e-08
1.43581.7456222.287435e-08
1.442111.7455042.297479e-08
1.448441.7453862.307567e-08
1.45481.7452682.317700e-08
1.461191.745152.327877e-08
1.467611.7450322.338098e-08
1.474051.7449142.348365e-08
1.480531.7447962.358677e-08
1.487031.7446772.369034e-08
1.493561.7445582.379436e-08
1.500121.7444392.389884e-08
1.50671.744322.400378e-08
1.513321.7442012.410919e-08
1.519971.7440812.421505e-08
1.526641.7439622.432138e-08
1.533341.7438422.442817e-08
1.540081.7437212.453544e-08
1.546841.7436012.464318e-08
1.553631.743482.475138e-08
1.560461.7433592.486007e-08
1.567311.7432382.496923e-08
1.574191.7431162.507887e-08
1.58111.7429942.518899e-08
1.588051.7428722.529960e-08
1.595021.7427492.541069e-08
1.61.7426622.549000e-08
1.602031.7426262.713028e-08
1.609061.7425033.282661e-08
1.616131.7423793.854797e-08
1.623221.7422554.429445e-08
1.630351.7421315.006616e-08
1.637511.7420065.586322e-08
1.64471.7418816.168574e-08
1.651931.7417556.753382e-08
1.659181.7416297.340759e-08
1.666471.7415037.930715e-08
1.673781.7413768.523262e-08
1.681131.7412499.118410e-08
1.688521.7411219.716173e-08
1.695931.7409921.031656e-07
1.703381.7408641.091958e-07
1.710861.7407341.152526e-07
1.718371.7406051.213359e-07
1.725921.7404741.274459e-07
1.73351.7403441.335828e-07
1.741111.7402121.397466e-07
1.748761.740081.459375e-07
1.756441.7399481.521555e-07
1.764151.7398151.584009e-07
1.77191.7396811.646737e-07
1.779681.7395471.709741e-07
1.787491.7394121.773021e-07
1.795341.7392771.836579e-07
1.81.7391961.874300e-07
1.803231.739141.911690e-07
1.811141.7390042.003487e-07
1.81911.7388662.095688e-07
1.827091.7387282.188293e-07
1.835111.7385892.281305e-07
1.843171.738452.374725e-07
1.851261.738312.468555e-07
1.859391.7381692.562798e-07
1.867561.7380272.657454e-07
1.875761.7378852.752527e-07
1.8841.7377422.848016e-07
1.892271.7375982.943925e-07
1.900581.7374543.040255e-07
1.908921.7373083.137008e-07
1.917311.7371623.234186e-07
1.925731.7370153.331791e-07
1.934181.7368673.429825e-07
1.942681.7367183.528288e-07
1.951211.7365693.627185e-07
1.959781.7364183.726515e-07
1.968381.7362673.826282e-07
1.977031.7361153.926487e-07
1.985711.7359624.027132e-07
1.994431.7358084.128219e-07
21.7357094.192800e-07
2.003191.7356534.286767e-07
2.011981.7354974.546105e-07
2.020821.735344.806582e-07
2.029691.7351825.068202e-07
2.038611.7350235.330972e-07
2.047561.7348645.594895e-07
2.056551.7347035.859977e-07
2.065581.7345416.126224e-07
2.074651.7343786.393640e-07
2.083761.7342146.662230e-07
2.092911.7340496.931999e-07
2.10211.7338837.202953e-07
2.111341.7337167.475097e-07
2.120611.7335477.748436e-07
2.129921.7333788.022976e-07
2.139271.7332078.298721e-07
2.148671.7330358.575677e-07
2.15811.7328628.853849e-07
2.167581.7326889.133243e-07
2.17711.7325139.413863e-07
2.186661.7323369.695716e-07
2.196261.7321589.978807e-07
2.21.7320891.008900e-06
2.205911.7319791.032920e-06
2.215591.7317991.072313e-06
2.225321.7316171.111878e-06
2.23511.7314341.151617e-06
2.244911.731251.191530e-06
2.254771.7310641.231619e-06
2.264671.7308771.271884e-06
2.274621.7306881.312325e-06
2.28461.7304991.352944e-06
2.294641.7303071.393742e-06
2.304711.7301151.434718e-06
2.314831.7299211.475875e-06
2.3251.7297251.517213e-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
—