Optical constants

Refractive index of H-ZF71 (CDGM)

H-ZF71: 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
1.80809
Extinction coefficient k
3.72280e-08
Permittivity ε1
3.2692
Permittivity ε2
1.34623e-07
Absorption coefficient α
0.00796155 cm⁻¹
Penetration depth δ = λ/(2πk)
2.51207e+09 nm
Abbe number Vd
22.698
Chromatic dispersion dn/dλ
-0.17705 µm⁻¹
Group index ng
1.91213
Group velocity dispersion
373.795 fs²/mm
Dispersion parameter D
-2039.25 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-ZF71 (CDGM): H-ZF71
cdgm_h_zf71 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZF71", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zf71.range_nm)  # (404.7, 2325) nm
eps = cdgm_h_zf71.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=0.406804868λ2λ2−0.064515213+1.70831097λ2λ2−0.0127703237+2.36137303λ2λ2−163.275585

Valid from 0.4047 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.406804868
C30.064515213
C41.70831097
C50.0127703237
C62.36137303
C7163.275585

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -9.66e-06 1.15e-08 -5.06e-11 9.75e-07 1.26e-09 0.313
nd
1.808100
Vd
22.698087
glass code
808227
density
value: 3300
thermal expansion
value: 9.3e-06, temperature range: 243 343; value: 1.05e-05, temperature range: 293 573
dPgF
0.0224
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -4.01e-06 K⁻¹ at 633 nm, dn/dT = -5.43e-06 K⁻¹ at 1310 nm, dn/dT = -5.51e-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-ZF71 (CDGM), H-ZF71: n and k versus wavelength
λ (µm)nk
0.40471.8765925.466954e-07
0.4064771.8752145.189542e-07
0.4082621.8738584.910912e-07
0.4100551.8725244.631059e-07
0.4118561.8712124.349977e-07
0.4136641.8699214.067660e-07
0.4154811.868653.784104e-07
0.4173051.86743.499303e-07
0.4191381.8661693.213251e-07
0.421.8655993.078700e-07
0.4209791.8649573.034065e-07
0.4228271.8637642.949747e-07
0.4246841.862592.865058e-07
0.4265491.8614332.779997e-07
0.4284221.8602942.694563e-07
0.4303041.8591722.608754e-07
0.4321931.8580672.522568e-07
0.4340911.8569782.436003e-07
0.4359971.8559052.349059e-07
0.4379121.8548482.261732e-07
0.4398351.8538072.174022e-07
0.441.8537182.166500e-07
0.4417671.852782.117248e-07
0.4437071.8517682.063162e-07
0.4456551.8507712.008838e-07
0.4476121.8497881.954276e-07
0.4495781.8488191.899474e-07
0.4515521.8478631.844431e-07
0.4535351.8469211.789146e-07
0.4555271.8459921.733619e-07
0.4575271.8450751.677848e-07
0.4595361.8441711.621832e-07
0.461.8439651.608900e-07
0.4615541.843281.583482e-07
0.4635811.8424011.550333e-07
0.4656171.8415331.517038e-07
0.4676611.8406771.483596e-07
0.4697151.8398331.450008e-07
0.4717781.8391.416273e-07
0.473851.8381771.382389e-07
0.475931.8373661.348357e-07
0.478021.8365651.314175e-07
0.481.835821.281800e-07
0.480121.8357751.280402e-07
0.4822281.8349951.255776e-07
0.4843461.8342251.231042e-07
0.4864731.8334651.206199e-07
0.4886091.8327141.181247e-07
0.4907551.8319731.156186e-07
0.492911.8312421.131014e-07
0.4950741.8305191.105732e-07
0.4972481.8298061.080339e-07
0.4994321.8291021.054835e-07
0.51.828921.048200e-07
0.5016251.8284061.029865e-07
0.5038281.8277191.005013e-07
0.5060411.827049.800523e-08
0.5082631.826379.549816e-08
0.5104951.8257089.298008e-08
0.5127361.8250539.045095e-08
0.5149881.8244078.791071e-08
0.517251.8237698.535931e-08
0.5195211.8231388.279671e-08
0.5218021.8225158.022286e-08
0.5240941.8218997.763771e-08
0.5263951.821297.504120e-08
0.5287071.8206897.243329e-08
0.5310291.8200946.981392e-08
0.5333611.8195076.718306e-08
0.5357031.8189266.454064e-08
0.5380551.8183526.188662e-08
0.5404181.8177855.922094e-08
0.5427911.8172245.654356e-08
0.5451751.816675.385442e-08
0.5475691.8161225.115347e-08
0.5499741.815584.844066e-08
0.551.8155744.841100e-08
0.5523891.8150454.770050e-08
0.5548151.8145154.697904e-08
0.5572511.8139914.625440e-08
0.5596981.8134734.552658e-08
0.5621561.8129614.479557e-08
0.5646251.8124554.406134e-08
0.5671041.8119544.332389e-08
0.5695951.8114594.258320e-08
0.5720961.8109694.183926e-08
0.5746081.8104854.109206e-08
0.5771311.8100064.034157e-08
0.5796661.8095323.958778e-08
0.5822111.8090633.883069e-08
0.5847681.8085993.807027e-08
0.5873361.808143.730651e-08
0.5899151.8076863.653940e-08
0.5925061.8072373.576892e-08
0.5951081.8067933.499505e-08
0.5977211.8063533.421779e-08
0.61.8059753.354000e-08
0.6003461.8059183.352332e-08
0.6029821.8054883.339619e-08
0.605631.8050623.326851e-08
0.608291.804643.314027e-08
0.6109611.8042233.301146e-08
0.6136441.8038113.288209e-08
0.6163391.8034023.275215e-08
0.6190451.8029983.262163e-08
0.6217641.8025983.249055e-08
0.6244941.8022013.235889e-08
0.6272371.8018093.222665e-08
0.6299911.8014213.209383e-08
0.6327581.8010373.196043e-08
0.6355361.8006573.182644e-08
0.6383271.800283.169186e-08
0.641131.7999083.155670e-08
0.6439461.7995393.142094e-08
0.6467741.7991733.128458e-08
0.6496141.7988113.114762e-08
0.651.7987633.112900e-08
0.6524671.7984533.097080e-08
0.6553321.7980993.078702e-08
0.658211.7977473.060244e-08
0.66111.79743.041704e-08
0.6640031.7970553.023084e-08
0.6669191.7967143.004381e-08
0.6698481.7963762.985596e-08
0.6727891.7960422.966729e-08
0.6757441.795712.947779e-08
0.6787111.7953822.928746e-08
0.6816921.7950572.909629e-08
0.6846851.7947352.890428e-08
0.6876921.7944162.871143e-08
0.6907121.79412.851773e-08
0.6937451.7937872.832319e-08
0.6967921.7934772.812778e-08
0.6998521.793172.793152e-08
0.71.7931552.792200e-08
0.7029251.7928652.785163e-08
0.7060121.7925632.777736e-08
0.7091121.7922652.770276e-08
0.7122261.7919682.762784e-08
0.7153541.7916752.755259e-08
0.7184951.7913842.747701e-08
0.721651.7910962.740109e-08
0.7248191.7908112.732485e-08
0.7280021.7905282.724826e-08
0.7311991.7902472.717135e-08
0.734411.7899692.709409e-08
0.7376351.7896932.701649e-08
0.7408751.789422.693856e-08
0.7441281.789152.686028e-08
0.7473961.7888812.678166e-08
0.7506781.7886152.670269e-08
0.7539741.7883512.662337e-08
0.7572851.788092.654371e-08
0.7606111.7878312.646370e-08
0.7639511.7875742.638334e-08
0.7673061.7873192.630262e-08
0.7706751.7870662.622155e-08
0.774061.7868152.614012e-08
0.7774591.7865672.605834e-08
0.7808731.7863212.597619e-08
0.7843021.7860762.589369e-08
0.7877461.7858342.581082e-08
0.7912061.7855932.572759e-08
0.794681.7853552.564399e-08
0.798171.7851192.556003e-08
0.81.7849962.551600e-08
0.8016751.7848842.511486e-08
0.8051961.7846512.427178e-08
0.8087311.784422.342499e-08
0.8122831.7841912.257449e-08
0.815851.7839642.172025e-08
0.8194331.7837392.086226e-08
0.8230311.7835152.000051e-08
0.8266451.7832931.913496e-08
0.8302761.7830731.826562e-08
0.8339221.7828551.739246e-08
0.8375841.7826381.651547e-08
0.8412621.7824231.563462e-08
0.8449561.7822091.474991e-08
0.8486671.7819971.386131e-08
0.851.7819221.354200e-08
0.8523931.7817871.358010e-08
0.8561371.7815781.363970e-08
0.8598961.7813711.369955e-08
0.8636721.7811651.375967e-08
0.8674651.7809611.382005e-08
0.8712751.7807581.388069e-08
0.8751011.7805571.394160e-08
0.8789441.7803571.400278e-08
0.8828031.7801591.406423e-08
0.886681.7799621.412595e-08
0.8905741.7797661.418794e-08
0.8944851.7795721.425020e-08
0.8984131.7793791.431273e-08
0.91.7793011.433800e-08
0.9023581.7791871.437559e-08
0.9063211.7789961.443875e-08
0.9103011.7788071.450219e-08
0.9142981.778621.456591e-08
0.9183131.7784331.462991e-08
0.9223461.7782481.469419e-08
0.9263961.7780631.475876e-08
0.9304641.777881.482360e-08
0.934551.7776991.488873e-08
0.9386541.7775181.495415e-08
0.9427761.7773381.501986e-08
0.9469161.777161.508585e-08
0.951.7770281.513500e-08
0.9510751.7769831.515211e-08
0.9552511.7768061.521860e-08
0.9594461.7766311.528538e-08
0.963661.7764571.535246e-08
0.9678911.7762841.541983e-08
0.9721421.7761121.548750e-08
0.9764111.7759411.555546e-08
0.9806991.7757711.562372e-08
0.9850051.7756021.569228e-08
0.9893311.7754341.576115e-08
0.9936751.7752661.583031e-08
0.9980391.77511.589978e-08
11.7750261.593100e-08
1.002421.7749351.596959e-08
1.006821.774771.603972e-08
1.011251.7746071.611017e-08
1.015691.7744441.618093e-08
1.020151.7742821.625199e-08
1.024631.7741211.632337e-08
1.029131.7739611.639507e-08
1.033641.7738011.646707e-08
1.038181.7736421.653940e-08
1.042741.7734851.661204e-08
1.047321.7733271.668500e-08
1.051921.7731711.675828e-08
1.056541.7730151.683188e-08
1.061.77291.688700e-08
1.061181.772861.690581e-08
1.065841.7727061.698007e-08
1.070521.7725531.705466e-08
1.075221.77241.712957e-08
1.079941.7722471.720482e-08
1.084691.7720961.728039e-08
1.089451.7719451.735630e-08
1.094231.7717941.743254e-08
1.099041.7716451.750911e-08
1.103871.7714951.758602e-08
1.108711.7713471.766327e-08
1.113581.7711991.774086e-08
1.118471.7710511.781879e-08
1.123381.7709041.789706e-08
1.128321.7707581.797567e-08
1.133271.7706121.805463e-08
1.138251.7704671.813394e-08
1.143251.7703221.821359e-08
1.148271.7701771.829360e-08
1.153311.7700331.837395e-08
1.158371.769891.845466e-08
1.163461.7697471.853572e-08
1.168571.7696041.861714e-08
1.17371.7694621.869892e-08
1.178861.769321.878106e-08
1.184031.7691791.886355e-08
1.189231.7690371.894641e-08
1.194451.7688971.902963e-08
1.19971.7687561.911322e-08
1.21.7687481.911800e-08
1.204971.7686161.975235e-08
1.210261.7684762.042794e-08
1.215571.7683372.110650e-08
1.220911.7681982.178803e-08
1.226271.7680592.247256e-08
1.231661.7679212.316010e-08
1.237071.7677822.385066e-08
1.24251.7676442.454424e-08
1.247961.7675062.524088e-08
1.253441.7673692.594057e-08
1.258941.7672312.664334e-08
1.264471.7670942.734919e-08
1.270021.7669572.805814e-08
1.27561.7668212.877021e-08
1.28121.7666842.948540e-08
1.286831.7665473.020373e-08
1.292481.7664113.092522e-08
1.298151.7662753.164987e-08
1.303861.7661393.237771e-08
1.309581.7660033.310874e-08
1.315331.7658673.384299e-08
1.321111.7657313.458046e-08
1.326911.7655963.532116e-08
1.332741.765463.606512e-08
1.338591.7653253.681235e-08
1.344471.7651893.756286e-08
1.350371.7650543.831666e-08
1.35631.7649183.907377e-08
1.362261.7647833.983421e-08
1.368241.7646474.059799e-08
1.374251.7645124.136512e-08
1.380281.7643764.213562e-08
1.386341.7642414.290951e-08
1.392431.7641054.368679e-08
1.398551.7639694.446749e-08
1.41.7639374.465300e-08
1.404691.7638344.540249e-08
1.410861.7636984.638856e-08
1.417051.7635624.737896e-08
1.423281.7634264.837371e-08
1.429531.763294.937283e-08
1.43581.7631535.037634e-08
1.442111.7630175.138425e-08
1.448441.762885.239659e-08
1.45481.7627445.341338e-08
1.461191.7626075.443463e-08
1.467611.762475.546037e-08
1.474051.7623325.649061e-08
1.480531.7621955.752537e-08
1.487031.7620575.856468e-08
1.493561.7619195.960855e-08
1.500121.7617816.065700e-08
1.50671.7616426.171006e-08
1.513321.7615046.276775e-08
1.519971.7613656.383008e-08
1.526641.7612256.489707e-08
1.533341.7610866.596875e-08
1.540081.7609466.704514e-08
1.546841.7608056.812625e-08
1.553631.7606656.921211e-08
1.560461.7605247.030274e-08
1.567311.7603827.139816e-08
1.574191.7602417.249839e-08
1.58111.7600997.360345e-08
1.588051.7599567.471336e-08
1.595021.7598137.582815e-08
1.61.7597117.662400e-08
1.602031.759677.789342e-08
1.609061.7595268.230183e-08
1.616131.7593828.672961e-08
1.623221.7592379.117683e-08
1.630351.7590929.564359e-08
1.637511.7589461.001300e-07
1.64471.75881.046360e-07
1.651931.7586531.091619e-07
1.659181.7585061.137076e-07
1.666471.7583581.182733e-07
1.673781.758211.228590e-07
1.681131.7580611.274649e-07
1.688521.7579121.320910e-07
1.695931.7577621.367375e-07
1.703381.7576111.414043e-07
1.710861.757461.460916e-07
1.718371.7573081.507995e-07
1.725921.7571551.555281e-07
1.73351.7570021.602774e-07
1.741111.7568481.650476e-07
1.748761.7566941.698388e-07
1.756441.7565391.746510e-07
1.764151.7563831.794843e-07
1.77191.7562261.843388e-07
1.779681.7560691.892147e-07
1.787491.7559111.941120e-07
1.795341.7557521.990307e-07
1.81.7556582.019500e-07
1.803231.7555922.051915e-07
1.811141.7554322.131498e-07
1.81911.7552712.211430e-07
1.827091.7551092.291713e-07
1.835111.7549462.372349e-07
1.843171.7547822.453338e-07
1.851261.7546172.534684e-07
1.859391.7544522.616386e-07
1.867561.7542852.698448e-07
1.875761.7541182.780870e-07
1.8841.753952.863653e-07
1.892271.7537812.946801e-07
1.900581.7536113.030313e-07
1.908921.753443.114192e-07
1.917311.7532683.198440e-07
1.925731.7530953.283057e-07
1.934181.7529213.368046e-07
1.942681.7527463.453409e-07
1.951211.752573.539146e-07
1.959781.7523933.625259e-07
1.968381.7522153.711751e-07
1.977031.7520353.798623e-07
1.985711.7518553.885876e-07
1.994431.7516733.973512e-07
21.7515574.029500e-07
2.003191.7514914.155792e-07
2.011981.7513074.504342e-07
2.020821.7511224.854423e-07
2.029691.7509365.206042e-07
2.038611.7507495.559204e-07
2.047561.750565.913918e-07
2.056551.750376.270189e-07
2.065581.7501796.628024e-07
2.074651.7499876.987431e-07
2.083761.7497947.348416e-07
2.092911.7495997.710987e-07
2.10211.7494038.075150e-07
2.111341.7492058.440911e-07
2.120611.7490068.808279e-07
2.129921.7488069.177261e-07
2.139271.7486049.547862e-07
2.148671.7484019.920092e-07
2.15811.7481971.029396e-06
2.167581.7479911.066946e-06
2.17711.7477831.104662e-06
2.186661.7475741.142543e-06
2.196261.7473641.180590e-06
2.21.7472821.195400e-06
2.205911.7471521.234769e-06
2.215591.7469391.299333e-06
2.225321.7467241.364181e-06
2.23511.7465071.429313e-06
2.244911.7462891.494731e-06
2.254771.7460691.560436e-06
2.264671.7458471.626430e-06
2.274621.7456241.692714e-06
2.28461.7453991.759289e-06
2.294641.7451731.826156e-06
2.304711.7449441.893317e-06
2.314831.7447141.960773e-06
2.3251.7444822.028525e-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
—