Optical constants

Refractive index of H-ZF13GT (CDGM)

H-ZF13GT: 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-ZF13GT (CDGM): H-ZF13GT
cdgm_h_zf13gt = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZF13GT", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zf13gt.range_nm)  # (404.7, 2325) nm
eps = cdgm_h_zf13gt.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-ZF13GT (CDGM), H-ZF13GT: n and k versus wavelength
λ (µm)nk
0.40471.842243.612562e-07
0.4064771.8411123.412556e-07
0.4082621.8400023.211672e-07
0.4100551.8389093.009906e-07
0.4118561.8378322.807254e-07
0.4136641.8367722.603712e-07
0.4154811.8357272.399276e-07
0.4173051.8346982.193942e-07
0.4191381.8336841.987707e-07
0.421.8332141.890700e-07
0.4209791.8326851.861004e-07
0.4228271.8317011.804905e-07
0.4246841.830731.748561e-07
0.4265491.8297741.691969e-07
0.4284221.8288311.635128e-07
0.4303041.8279011.578038e-07
0.4321931.8269851.520697e-07
0.4340911.8260811.463105e-07
0.4359971.825191.405259e-07
0.4379121.8243121.347159e-07
0.4398351.8234451.288805e-07
0.441.8233721.283800e-07
0.4417671.822591.262230e-07
0.4437071.8217471.238543e-07
0.4456551.8209161.214752e-07
0.4476121.8200951.190857e-07
0.4495781.8192851.166856e-07
0.4515521.8184871.142750e-07
0.4535351.8176981.118539e-07
0.4555271.816921.094221e-07
0.4575271.8161531.069796e-07
0.4595361.8153951.045264e-07
0.461.8152221.039600e-07
0.4615541.8146471.024845e-07
0.4635811.8139091.005602e-07
0.4656171.813189.862743e-08
0.4676611.8124619.668619e-08
0.4697151.811759.473642e-08
0.4717781.8110499.277809e-08
0.473851.8103569.081116e-08
0.475931.8096728.883559e-08
0.478021.8089978.685135e-08
0.481.8083688.497200e-08
0.480121.808338.489601e-08
0.4822281.8076718.355718e-08
0.4843461.8070218.221247e-08
0.4864731.8063788.086186e-08
0.4886091.8057437.950531e-08
0.4907551.8051167.814281e-08
0.492911.8044977.677432e-08
0.4950741.8038847.539983e-08
0.4972481.803287.401930e-08
0.4994321.8026827.263270e-08
0.51.8025287.227200e-08
0.5016251.8020927.106558e-08
0.5038281.8015086.943033e-08
0.5060411.8009326.778789e-08
0.5082631.8003626.613825e-08
0.5104951.7997986.448136e-08
0.5127361.7992426.281720e-08
0.5149881.7986926.114572e-08
0.517251.7981485.946691e-08
0.5195211.797615.778073e-08
0.5218021.7970795.608714e-08
0.5240941.7965535.438611e-08
0.5263951.7960345.267761e-08
0.5287071.7955215.096161e-08
0.5310291.7950134.923808e-08
0.5333611.7945114.750697e-08
0.5357031.7940144.576827e-08
0.5380551.7935244.402193e-08
0.5404181.7930384.226792e-08
0.5427911.7925584.050620e-08
0.5451751.7920843.873676e-08
0.5475691.7916143.695954e-08
0.5499741.791153.517451e-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
0.7029251.7715222.223243e-08
0.7060121.7712592.213369e-08
0.7091121.7709992.203450e-08
0.7122261.7707412.193489e-08
0.7153541.7704862.183483e-08
0.7184951.7702322.173434e-08
0.721651.7699812.163341e-08
0.7248191.7697322.153203e-08
0.7280021.7694862.143021e-08
0.7311991.7692412.132794e-08
0.734411.7689992.122522e-08
0.7376351.7687592.112205e-08
0.7408751.768522.101842e-08
0.7441281.7682842.091434e-08
0.7473961.768052.080981e-08
0.7506781.7678182.070481e-08
0.7539741.7675882.059936e-08
0.7572851.767362.049344e-08
0.7606111.7671342.038705e-08
0.7639511.7669092.028020e-08
0.7673061.7666872.017288e-08
0.7706751.7664662.006509e-08
0.774061.7662481.995683e-08
0.7774591.7660311.984809e-08
0.7808731.7658151.973887e-08
0.7843021.7656021.962917e-08
0.7877461.765391.951899e-08
0.7912061.765181.940833e-08
0.794681.7649721.929718e-08
0.798171.7647661.918554e-08
0.81.7646581.912700e-08
0.8016751.7645611.893990e-08
0.8051961.7643571.854666e-08
0.8087311.7641561.815170e-08
0.8122831.7639561.775500e-08
0.815851.7637571.735656e-08
0.8194331.763561.695637e-08
0.8230311.7633651.655442e-08
0.8266451.7631711.615071e-08
0.8302761.7629781.574523e-08
0.8339221.7627871.533796e-08
0.8375841.7625981.492891e-08
0.8412621.762411.451806e-08
0.8449561.7622231.410540e-08
0.8486671.7620381.369094e-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
1.204971.7503522.003036e-08
1.210261.7502312.100204e-08
1.215571.750112.197798e-08
1.220911.7499892.295821e-08
1.226271.7498682.394274e-08
1.231661.7497482.493160e-08
1.237071.7496282.592480e-08
1.24251.7495082.692236e-08
1.247961.7493882.792430e-08
1.253441.7492692.893064e-08
1.258941.7491492.994140e-08
1.264471.749033.095660e-08
1.270021.7489123.197626e-08
1.27561.7487933.300039e-08
1.28121.7486753.402903e-08
1.286831.7485563.506218e-08
1.292481.7484383.609986e-08
1.298151.748323.714211e-08
1.303861.7482023.818893e-08
1.309581.7480843.924034e-08
1.315331.7479674.029638e-08
1.321111.7478494.135705e-08
1.326911.7477324.242238e-08
1.332741.7476144.349239e-08
1.338591.7474974.456709e-08
1.344471.747384.564652e-08
1.350371.7472634.673069e-08
1.35631.7471454.781962e-08
1.362261.7470284.891332e-08
1.368241.7469115.001184e-08
1.374251.7467945.111517e-08
1.380281.7466775.222336e-08
1.386341.746565.333640e-08
1.392431.7464435.445434e-08
1.398551.7463265.557718e-08
1.41.7462985.584400e-08
1.404691.7462085.693236e-08
1.410861.7460915.836426e-08
1.417051.7459745.980245e-08
1.423281.7458576.124696e-08
1.429531.7457396.269781e-08
1.43581.7456226.415503e-08
1.442111.7455046.561865e-08
1.448441.7453866.708869e-08
1.45481.7452686.856520e-08
1.461191.745157.004818e-08
1.467611.7450327.153768e-08
1.474051.7449147.303372e-08
1.480531.7447967.453633e-08
1.487031.7446777.604554e-08
1.493561.7445587.756138e-08
1.500121.7444397.908387e-08
1.50671.744328.061305e-08
1.513321.7442018.214894e-08
1.519971.7440818.369158e-08
1.526641.7439628.524100e-08
1.533341.7438428.679721e-08
1.540081.7437218.836026e-08
1.546841.7436018.993018e-08
1.553631.743489.150699e-08
1.560461.7433599.309072e-08
1.567311.7432389.468141e-08
1.574191.7431169.627908e-08
1.58111.7429949.788377e-08
1.588051.7428729.949551e-08
1.595021.7427491.011143e-07
1.61.7426621.022700e-07
1.602031.7426261.046101e-07
1.609061.7425031.127367e-07
1.616131.7423791.208990e-07
1.623221.7422551.290972e-07
1.630351.7421311.373313e-07
1.637511.7420061.456016e-07
1.64471.7418811.539083e-07
1.651931.7417551.622514e-07
1.659181.7416291.706311e-07
1.666471.7415031.790477e-07
1.673781.7413761.875012e-07
1.681131.7412491.959918e-07
1.688521.7411212.045197e-07
1.695931.7409922.130851e-07
1.703381.7408642.216881e-07
1.710861.7407342.303288e-07
1.718371.7406052.390075e-07
1.725921.7404742.477243e-07
1.73351.7403442.564794e-07
1.741111.7402122.652730e-07
1.748761.740082.741051e-07
1.756441.7399482.829761e-07
1.764151.7398152.918860e-07
1.77191.7396813.008350e-07
1.779681.7395473.098233e-07
1.787491.7394123.188511e-07
1.795341.7392773.279185e-07
1.81.7391963.333000e-07
1.803231.739143.378684e-07
1.811141.7390043.490844e-07
1.81911.7388663.603497e-07
1.827091.7387283.716644e-07
1.835111.7385893.830288e-07
1.843171.738453.944431e-07
1.851261.738314.059076e-07
1.859391.7381694.174224e-07
1.867561.7380274.289877e-07
1.875761.7378854.406039e-07
1.8841.7377424.522710e-07
1.892271.7375984.639894e-07
1.900581.7374544.757593e-07
1.908921.7373084.875808e-07
1.917311.7371624.994543e-07
1.925731.7370155.113798e-07
1.934181.7368675.233578e-07
1.942681.7367185.353884e-07
1.951211.7365695.474717e-07
1.959781.7364185.596082e-07
1.968381.7362675.717979e-07
1.977031.7361155.840412e-07
1.985711.7359625.963383e-07
1.994431.7358086.086893e-07
21.7357096.165800e-07
2.003191.7356536.288071e-07
2.011981.7354976.625524e-07
2.020821.735346.964459e-07
2.029691.7351827.304883e-07
2.038611.7350237.646802e-07
2.047561.7348647.990222e-07
2.056551.7347038.335150e-07
2.065581.7345418.681592e-07
2.074651.7343789.029557e-07
2.083761.7342149.379049e-07
2.092911.7340499.730076e-07
2.10211.7338831.008264e-06
2.111341.7337161.043676e-06
2.120611.7335471.079243e-06
2.129921.7333781.114967e-06
2.139271.7332071.150847e-06
2.148671.7330351.186885e-06
2.15811.7328621.223081e-06
2.167581.7326881.259436e-06
2.17711.7325131.295950e-06
2.186661.7323361.332625e-06
2.196261.7321581.369462e-06
2.21.7320891.383800e-06
2.205911.7319791.413757e-06
2.215591.7317991.462884e-06
2.225321.7316171.512228e-06
2.23511.7314341.561788e-06
2.244911.731251.611565e-06
2.254771.7310641.661562e-06
2.264671.7308771.711778e-06
2.274621.7306881.762214e-06
2.28461.7304991.812872e-06
2.294641.7303071.863752e-06
2.304711.7301151.914856e-06
2.314831.7299211.966184e-06
2.3251.7297252.017738e-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
—