Optical constants

Refractive index of H-ZF12 (CDGM)

H-ZF12: 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
1.76181
Extinction coefficient k
3.50352e-08
Permittivity ε1
3.10399
Permittivity ε2
1.23451e-07
Absorption coefficient α
0.0074926 cm⁻¹
Penetration depth δ = λ/(2πk)
2.66930e+09 nm
Abbe number Vd
26.608
Chromatic dispersion dn/dλ
-0.143348 µm⁻¹
Group index ng
1.84605
Group velocity dispersion
294.707 fs²/mm
Dispersion parameter D
-1607.78 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-ZF12 (CDGM): H-ZF12
cdgm_h_zf12 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZF12", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zf12.range_nm)  # (404.7, 2325) nm
eps = cdgm_h_zf12.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=0.323730379λ2λ2−0.0598308169+1.65668629λ2λ2−0.0120542686+2.1214152λ2λ2−174.18792

Valid from 0.4047 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.323730379
C30.0598308169
C41.65668629
C50.0120542686
C62.1214152
C7174.18792

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -3e-06 4.05e-09 -1.34e-10 9.31e-07 3.32e-09 0.293
nd
1.761820
Vd
26.607986
glass code
762266
density
value: 3170
thermal expansion
value: 8.4e-06, temperature range: 243 343; value: 1.01e-05, temperature range: 293 573
dPgF
0.0128
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -2.55e-08 K⁻¹ at 633 nm, dn/dT = -1.39e-06 K⁻¹ at 1310 nm, dn/dT = -1.48e-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-ZF12 (CDGM), H-ZF12: n and k versus wavelength
λ (µm)nk
0.40471.815595.313452e-07
0.4064771.8145424.977997e-07
0.4082621.8135094.641069e-07
0.4100551.8124924.302662e-07
0.4118561.8114913.962768e-07
0.4136641.8105043.621382e-07
0.4154811.8095313.278497e-07
0.4173051.8085732.934106e-07
0.4191381.8076292.588203e-07
0.421.8071912.425500e-07
0.4209791.8066982.373193e-07
0.4228271.8057812.274381e-07
0.4246841.8048762.175135e-07
0.4265491.8039852.075453e-07
0.4284221.8031061.975333e-07
0.4303041.8022391.874774e-07
0.4321931.8013851.773773e-07
0.4340911.8005421.672329e-07
0.4359971.7997111.570439e-07
0.4379121.7988911.468102e-07
0.4398351.7980821.365315e-07
0.441.7980131.356500e-07
0.4417671.7972841.325179e-07
0.4437071.7964971.290783e-07
0.4456551.795721.256236e-07
0.4476121.7949541.221538e-07
0.4495781.7941981.186687e-07
0.4515521.7934521.151683e-07
0.4535351.7927151.116526e-07
0.4555271.7919891.081214e-07
0.4575271.7912711.045747e-07
0.4595361.7905631.010124e-07
0.461.7904011.001900e-07
0.4615541.7898649.840110e-08
0.4635811.7891749.606807e-08
0.4656171.7884929.372481e-08
0.4676611.7878199.137125e-08
0.4697151.7871558.900735e-08
0.4717781.7864998.663308e-08
0.473851.7858518.424838e-08
0.475931.7852128.185320e-08
0.478021.784587.944751e-08
0.481.7839917.716900e-08
0.480121.7839567.709126e-08
0.4822281.7833397.572165e-08
0.4843461.782737.434603e-08
0.4864731.7821297.296436e-08
0.4886091.7815347.157662e-08
0.4907551.7809477.018279e-08
0.492911.7803676.878284e-08
0.4950741.7797946.737674e-08
0.4972481.7792276.596447e-08
0.4994321.7786686.454600e-08
0.51.7785246.417700e-08
0.5016251.7781156.337716e-08
0.5038281.7775686.229301e-08
0.5060411.7770286.120411e-08
0.5082631.7764946.011042e-08
0.5104951.7759665.901193e-08
0.5127361.7754455.790861e-08
0.5149881.7749295.680045e-08
0.517251.7744195.568742e-08
0.5195211.7739155.456951e-08
0.5218021.7734175.344668e-08
0.5240941.7729255.231893e-08
0.5263951.7724385.118622e-08
0.5287071.7719565.004854e-08
0.5310291.771484.890586e-08
0.5333611.7710094.775817e-08
0.5357031.7705444.660543e-08
0.5380551.7700844.544764e-08
0.5404181.7696284.428475e-08
0.5427911.7691784.311677e-08
0.5451751.7687334.194365e-08
0.5475691.7682924.076538e-08
0.5499741.7678563.958194e-08
0.551.7678523.956900e-08
0.5523891.7674253.928095e-08
0.5548151.7669993.898845e-08
0.5572511.7665773.869467e-08
0.5596981.766163.839960e-08
0.5621561.7657483.810323e-08
0.5646251.7653393.780556e-08
0.5671041.7649353.750658e-08
0.5695951.7645363.720630e-08
0.5720961.764143.690469e-08
0.5746081.7637493.660175e-08
0.5771311.7633613.629749e-08
0.5796661.7629783.599189e-08
0.5822111.7625993.568495e-08
0.5847681.7622243.537666e-08
0.5873361.7618523.506702e-08
0.5899151.7614853.475602e-08
0.5925061.7611213.444365e-08
0.5951081.7607613.412991e-08
0.5977211.7604053.381479e-08
0.61.7600983.354000e-08
0.6003461.7600523.355934e-08
0.6029821.7597033.370671e-08
0.605631.7593573.385473e-08
0.608291.7590153.400340e-08
0.6109611.7586763.415272e-08
0.6136441.758343.430270e-08
0.6163391.7580083.445334e-08
0.6190451.757683.460463e-08
0.6217641.7573543.475660e-08
0.6244941.7570323.490923e-08
0.6272371.7567133.506253e-08
0.6299911.7563973.521650e-08
0.6327581.7560843.537115e-08
0.6355361.7557743.552648e-08
0.6383271.7554673.568249e-08
0.641131.7551633.583918e-08
0.6439461.7548623.599657e-08
0.6467741.7545643.615464e-08
0.6496141.7542693.631341e-08
0.651.7542293.633500e-08
0.6524671.7539773.591999e-08
0.6553321.7536873.543788e-08
0.658211.75343.495366e-08
0.66111.7531163.446731e-08
0.6640031.7528343.397883e-08
0.6669191.7525563.348820e-08
0.6698481.7522793.299541e-08
0.6727891.7520063.250047e-08
0.6757441.7517343.200335e-08
0.6787111.7514663.150404e-08
0.6816921.75123.100254e-08
0.6846851.7509363.049885e-08
0.6876921.7506752.999293e-08
0.6907121.7504162.948480e-08
0.6937451.7501592.897444e-08
0.6967921.7499052.846183e-08
0.6998521.7496532.794698e-08
0.71.7496412.792200e-08
0.7029251.7494032.766476e-08
0.7060121.7491552.739327e-08
0.7091121.748912.712059e-08
0.7122261.7486672.684672e-08
0.7153541.7484262.657164e-08
0.7184951.7481872.629535e-08
0.721651.747952.601785e-08
0.7248191.7477162.573914e-08
0.7280021.7474832.545919e-08
0.7311991.7472522.517802e-08
0.734411.7470242.489562e-08
0.7376351.7467972.461197e-08
0.7408751.7465722.432708e-08
0.7441281.7463492.404094e-08
0.7473961.7461282.375354e-08
0.7506781.7459092.346488e-08
0.7539741.7456922.317495e-08
0.7572851.7454762.288375e-08
0.7606111.7452632.259126e-08
0.7639511.7450512.229750e-08
0.7673061.7448412.200244e-08
0.7706751.7446322.170609e-08
0.774061.7444262.140844e-08
0.7774591.7442212.110948e-08
0.7808731.7440172.080921e-08
0.7843021.7438162.050762e-08
0.7877461.7436152.020470e-08
0.7912061.7434171.990046e-08
0.794681.743221.959487e-08
0.798171.7430251.928795e-08
0.81.7429231.912700e-08
0.8016751.7428311.916707e-08
0.8051961.7426381.925128e-08
0.8087311.7424481.933586e-08
0.8122831.7422581.942081e-08
0.815851.742071.950613e-08
0.8194331.7418841.959183e-08
0.8230311.7416991.967790e-08
0.8266451.7415151.976436e-08
0.8302761.7413331.985119e-08
0.8339221.7411521.993840e-08
0.8375841.7409722.002600e-08
0.8412621.7407942.011398e-08
0.8449561.7406172.020235e-08
0.8486671.7404422.029111e-08
0.851.7403792.032300e-08
0.8523931.7402672.003650e-08
0.8561371.7400941.958844e-08
0.8598961.7399221.913841e-08
0.8636721.7397521.868641e-08
0.8674651.7395821.823242e-08
0.8712751.7394141.777644e-08
0.8751011.7392471.731845e-08
0.8789441.7390811.685846e-08
0.8828031.7389161.639644e-08
0.886681.7387521.593239e-08
0.8905741.738591.546631e-08
0.8944851.7384281.499818e-08
0.8984131.7382681.452800e-08
0.91.7382041.433800e-08
0.9023581.7381091.437559e-08
0.9063211.737951.443875e-08
0.9103011.7377931.450219e-08
0.9142981.7376371.456591e-08
0.9183131.7374821.462991e-08
0.9223461.7373281.469419e-08
0.9263961.7371741.475876e-08
0.9304641.7370221.482360e-08
0.934551.7368711.488873e-08
0.9386541.736721.495415e-08
0.9427761.7365711.501986e-08
0.9469161.7364221.508585e-08
0.951.7363121.513500e-08
0.9510751.7362741.515211e-08
0.9552511.7361271.521860e-08
0.9594461.7359811.528538e-08
0.963661.7358361.535246e-08
0.9678911.7356921.541983e-08
0.9721421.7355481.548750e-08
0.9764111.7354061.555546e-08
0.9806991.7352641.562372e-08
0.9850051.7351231.569228e-08
0.9893311.7349821.576115e-08
0.9936751.7348431.583031e-08
0.9980391.7347041.589978e-08
11.7346421.593100e-08
1.002421.7345661.596959e-08
1.006821.7344281.603972e-08
1.011251.7342921.611017e-08
1.015691.7341561.618093e-08
1.020151.734021.625199e-08
1.024631.7338861.632337e-08
1.029131.7337521.639507e-08
1.033641.7336181.646707e-08
1.038181.7334861.653940e-08
1.042741.7333541.661204e-08
1.047321.7332221.668500e-08
1.051921.7330911.675828e-08
1.056541.7329611.683188e-08
1.061.7328641.688700e-08
1.061181.7328311.690581e-08
1.065841.7327021.698007e-08
1.070521.7325731.705466e-08
1.075221.7324451.712957e-08
1.079941.7323181.720482e-08
1.084691.7321911.728039e-08
1.089451.7320641.735630e-08
1.094231.7319381.743254e-08
1.099041.7318121.750911e-08
1.103871.7316871.758602e-08
1.108711.7315631.766327e-08
1.113581.7314381.774086e-08
1.118471.7313151.781879e-08
1.123381.7311911.789706e-08
1.128321.7310691.797567e-08
1.133271.7309461.805463e-08
1.138251.7308241.813394e-08
1.143251.7307021.821359e-08
1.148271.7305811.829360e-08
1.153311.730461.837395e-08
1.158371.7303391.845466e-08
1.163461.7302191.853572e-08
1.168571.7300991.861714e-08
1.17371.7299791.869892e-08
1.178861.729861.878106e-08
1.184031.7297411.886355e-08
1.189231.7296221.894641e-08
1.194451.7295041.902963e-08
1.19971.7293861.911322e-08
1.21.7293791.911800e-08
1.204971.7292681.919715e-08
1.210261.729151.928144e-08
1.215571.7290331.936610e-08
1.220911.7289161.945114e-08
1.226271.7287991.953655e-08
1.231661.7286821.962233e-08
1.237071.7285651.970849e-08
1.24251.7284491.979503e-08
1.247961.7283331.988195e-08
1.253441.7282171.996925e-08
1.258941.7281012.005694e-08
1.264471.7279852.014500e-08
1.270021.727872.023346e-08
1.27561.7277542.032230e-08
1.28121.7276392.041154e-08
1.286831.7275242.050117e-08
1.292481.7274092.059119e-08
1.298151.7272942.068160e-08
1.303861.7271792.077241e-08
1.309581.7270642.086362e-08
1.315331.726952.095524e-08
1.321111.7268352.104725e-08
1.326911.726722.113967e-08
1.332741.7266062.123249e-08
1.338591.7264912.132572e-08
1.344471.7263762.141936e-08
1.350371.7262622.151342e-08
1.35631.7261472.160788e-08
1.362261.7260332.170276e-08
1.368241.7259182.179806e-08
1.374251.7258042.189377e-08
1.380281.7256892.198991e-08
1.386341.7255742.208646e-08
1.392431.7254592.218345e-08
1.398551.7253442.228085e-08
1.41.7253172.230400e-08
1.404691.725232.237869e-08
1.410861.7251152.247695e-08
1.417051.7249992.257565e-08
1.423281.7248842.267478e-08
1.429531.7247692.277434e-08
1.43581.7246532.287435e-08
1.442111.7245382.297479e-08
1.448441.7244222.307567e-08
1.45481.7243062.317700e-08
1.461191.724192.327877e-08
1.467611.7240742.338098e-08
1.474051.7239572.348365e-08
1.480531.7238412.358677e-08
1.487031.7237242.369034e-08
1.493561.7236072.379436e-08
1.500121.7234892.389884e-08
1.50671.7233722.400378e-08
1.513321.7232542.410919e-08
1.519971.7231362.421505e-08
1.526641.7230182.432138e-08
1.533341.7228992.442817e-08
1.540081.722782.453544e-08
1.546841.7226612.464318e-08
1.553631.7225422.475138e-08
1.560461.7224222.486007e-08
1.567311.7223022.496923e-08
1.574191.7221812.507887e-08
1.58111.7220612.518899e-08
1.588051.7219392.529960e-08
1.595021.7218182.541069e-08
1.61.7217312.549000e-08
1.602031.7216962.786715e-08
1.609061.7215743.612252e-08
1.616131.7214514.441414e-08
1.623221.7213285.274216e-08
1.630351.7212056.110677e-08
1.637511.7210816.950810e-08
1.64471.7209567.794632e-08
1.651931.7208318.642161e-08
1.659181.7207069.493411e-08
1.666471.720581.034840e-07
1.673781.7204541.120714e-07
1.681131.7203281.206966e-07
1.688521.72021.293596e-07
1.695931.7200731.380606e-07
1.703381.7199441.467999e-07
1.710861.7198161.555775e-07
1.718371.7196861.643937e-07
1.725921.7195561.732486e-07
1.73351.7194261.821424e-07
1.741111.7192951.910753e-07
1.748761.7191632.000474e-07
1.756441.7190312.090588e-07
1.764151.7188982.181099e-07
1.77191.7187652.272007e-07
1.779681.7186312.363314e-07
1.787491.7184962.455022e-07
1.795341.718362.547133e-07
1.81.718282.601800e-07
1.803231.7182242.638019e-07
1.811141.7180882.726942e-07
1.81911.717952.816255e-07
1.827091.7178122.905961e-07
1.835111.7176732.996060e-07
1.843171.7175343.086555e-07
1.851261.7173933.177447e-07
1.859391.7172523.268739e-07
1.867561.717113.360431e-07
1.875761.7169683.452526e-07
1.8841.7168243.545026e-07
1.892271.716683.637932e-07
1.900581.7165353.731245e-07
1.908921.7163893.824969e-07
1.917311.7162423.919104e-07
1.925731.7160954.013652e-07
1.934181.7159464.108616e-07
1.942681.7157974.203997e-07
1.951211.7156474.299796e-07
1.959781.7154964.396016e-07
1.968381.7153444.492659e-07
1.977031.7151914.589726e-07
1.985711.7150374.687220e-07
1.994431.7148824.785141e-07
21.7147834.847700e-07
2.003191.7147264.957956e-07
2.011981.7145695.262250e-07
2.020821.7144115.567880e-07
2.029691.7142525.874852e-07
2.038611.7140926.183173e-07
2.047561.7139326.492847e-07
2.056551.713776.803881e-07
2.065581.7136067.116281e-07
2.074651.7134427.430053e-07
2.083761.7132777.745203e-07
2.092911.7131118.061736e-07
2.10211.7129438.379660e-07
2.111341.7127758.698980e-07
2.120611.7126059.019702e-07
2.129921.7124349.341833e-07
2.139271.7122629.665378e-07
2.148671.7120889.990344e-07
2.15811.7119141.031674e-06
2.167581.7117381.064456e-06
2.17711.7115611.097383e-06
2.186661.7113821.130454e-06
2.196261.7112031.163671e-06
2.21.7111331.176600e-06
2.205911.7110221.198777e-06
2.215591.7108391.235147e-06
2.225321.7106561.271677e-06
2.23511.7104711.308367e-06
2.244911.7102841.345218e-06
2.254771.7100971.382231e-06
2.264671.7099071.419406e-06
2.274621.7097171.456745e-06
2.28461.7095251.494248e-06
2.294641.7093311.531915e-06
2.304711.7091361.569748e-06
2.314831.708941.607747e-06
2.3251.7087421.645913e-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
—