Optical constants

Refractive index of H-ZF72A (CDGM)

H-ZF72A: 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
1.92285
Extinction coefficient k
4.85557e-08
Permittivity ε1
3.69736
Permittivity ε2
1.86731e-07
Absorption coefficient α
0.0103841 cm⁻¹
Penetration depth δ = λ/(2πk)
1.92602e+09 nm
Abbe number Vd
18.896
Chromatic dispersion dn/dλ
-0.240946 µm⁻¹
Group index ng
2.06443
Group velocity dispersion
524.447 fs²/mm
Dispersion parameter D
-2861.14 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-ZF72A (CDGM): H-ZF72A
cdgm_h_zf72a = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZF72A", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zf72a.range_nm)  # (404.7, 2325) nm
eps = cdgm_h_zf72a.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=0.470478653λ2λ2−0.0736024509+2.55040233λ2λ2−149.306621+2.00593441λ2λ2−0.0162999226

Valid from 0.4047 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.470478653
C30.0736024509
C42.55040233
C5149.306621
C62.00593441
C70.0162999226

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -5.63e-06 1.59e-08 -4.96e-11 1.13e-06 1.73e-09 0.328
nd
1.922860
Vd
18.895887
glass code
923189
glass status
standard
density
value: 3570
thermal expansion
value: 6.7e-06, temperature range: 243 343; value: 8.4e-06, temperature range: 293 573
dPgF
0.0363
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -1.23e-06 K⁻¹ at 633 nm, dn/dT = -3.28e-06 K⁻¹ at 1310 nm, dn/dT = -3.40e-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-ZF72A (CDGM), H-ZF72A: n and k versus wavelength
λ (µm)nk
0.40472.0197292.772097e-06
0.4064772.0176952.566999e-06
0.4082622.0156982.361001e-06
0.4100552.0137372.154099e-06
0.4118562.0118121.946287e-06
0.4136642.0099221.737564e-06
0.4154812.0080651.527923e-06
0.4173052.006241.317362e-06
0.4191382.0044471.105877e-06
0.422.0036171.006400e-06
0.4209792.0026859.852016e-07
0.4228272.0009539.451564e-07
0.4246841.9992519.049353e-07
0.4265491.9975778.645376e-07
0.4284221.9959318.239625e-07
0.4303041.9943127.832092e-07
0.4321931.992727.422769e-07
0.4340911.9911547.011649e-07
0.4359971.9896126.598724e-07
0.4379121.9880966.183985e-07
0.4398351.9866045.767425e-07
0.441.9864775.731700e-07
0.4417671.9851355.555335e-07
0.4437071.9836895.361658e-07
0.4456551.9822665.167131e-07
0.4476121.9808644.971749e-07
0.4495781.9794844.775510e-07
0.4515521.9781254.578408e-07
0.4535351.9767874.380441e-07
0.4555271.9754694.181605e-07
0.4575271.974173.981895e-07
0.4595361.9728913.781309e-07
0.461.9725993.735000e-07
0.4615541.971633.644253e-07
0.4635811.9703883.525905e-07
0.4656171.9691633.407036e-07
0.4676611.9679573.287646e-07
0.4697151.9667683.167731e-07
0.4717781.9655953.047290e-07
0.473851.9644392.926320e-07
0.475931.96332.804818e-07
0.478021.9621762.682783e-07
0.481.9611312.567200e-07
0.480121.9610692.562801e-07
0.4822281.9599762.485297e-07
0.4843461.9588982.407452e-07
0.4864731.9578352.329265e-07
0.4886091.9567872.250735e-07
0.4907551.9557532.171860e-07
0.492911.9547322.092638e-07
0.4950741.9537262.013069e-07
0.4972481.9527321.933151e-07
0.4994321.9517521.852881e-07
0.51.95151.832000e-07
0.5016251.9507851.798294e-07
0.5038281.949831.752607e-07
0.5060411.9488881.706719e-07
0.5082631.9479581.660629e-07
0.5104951.947041.614338e-07
0.5127361.9461341.567843e-07
0.5149881.9452391.521144e-07
0.517251.9443561.474239e-07
0.5195211.9434841.427129e-07
0.5218021.9426221.379812e-07
0.5240941.9417721.332287e-07
0.5263951.9409321.284553e-07
0.5287071.9401031.236610e-07
0.5310291.9392841.188456e-07
0.5333611.9384741.140091e-07
0.5357031.9376751.091514e-07
0.5380551.9368861.042723e-07
0.5404181.9361069.937174e-08
0.5427911.9353359.444970e-08
0.5451751.9345748.950605e-08
0.5475691.9338228.454069e-08
0.5499741.9330797.955352e-08
0.551.9330717.949900e-08
0.5523891.9323447.753306e-08
0.5548151.9316197.553676e-08
0.5572511.9309027.353169e-08
0.5596981.9301937.151782e-08
0.5621561.9294926.949511e-08
0.5646251.92886.746351e-08
0.5671041.9281166.542299e-08
0.5695951.9274396.337351e-08
0.5720961.926776.131503e-08
0.5746081.9261095.924751e-08
0.5771311.9254565.717091e-08
0.5796661.924815.508519e-08
0.5822111.9241715.299032e-08
0.5847681.9235395.088624e-08
0.5873361.9229154.877292e-08
0.5899151.9222974.665032e-08
0.5925061.9216864.451841e-08
0.5951081.9210824.237713e-08
0.5977211.9204854.022644e-08
0.61.9199713.835100e-08
0.6003461.9198943.830103e-08
0.6029821.919313.792024e-08
0.605631.9187323.753777e-08
0.608291.918163.715363e-08
0.6109611.9175953.676779e-08
0.6136441.9170353.638026e-08
0.6163391.9164823.599103e-08
0.6190451.9159353.560009e-08
0.6217641.9153933.520744e-08
0.6244941.9148573.481306e-08
0.6272371.9143273.441695e-08
0.6299911.9138023.401909e-08
0.6327581.9132833.361950e-08
0.6355361.912773.321814e-08
0.6383271.9122613.281503e-08
0.641131.9117583.241014e-08
0.6439461.9112613.200348e-08
0.6467741.9107683.159503e-08
0.6496141.910283.118478e-08
0.651.9102153.112900e-08
0.6524671.9097983.097080e-08
0.6553321.909323.078702e-08
0.658211.9088473.060244e-08
0.66111.9083793.041704e-08
0.6640031.9079163.023084e-08
0.6669191.9074573.004381e-08
0.6698481.9070032.985596e-08
0.6727891.9065542.966729e-08
0.6757441.9061092.947779e-08
0.6787111.9056682.928746e-08
0.6816921.9052322.909629e-08
0.6846851.90482.890428e-08
0.6876921.9043722.871143e-08
0.6907121.9039492.851773e-08
0.6937451.9035292.832319e-08
0.6967921.9031142.812778e-08
0.6998521.9027022.793152e-08
0.71.9026832.792200e-08
0.7029251.9022952.785163e-08
0.7060121.9018912.777736e-08
0.7091121.9014922.770276e-08
0.7122261.9010962.762784e-08
0.7153541.9007042.755259e-08
0.7184951.9003152.747701e-08
0.721651.8999312.740109e-08
0.7248191.8995492.732485e-08
0.7280021.8991722.724826e-08
0.7311991.8987982.717135e-08
0.734411.8984272.709409e-08
0.7376351.898062.701649e-08
0.7408751.8976962.693856e-08
0.7441281.8973362.686028e-08
0.7473961.8969782.678166e-08
0.7506781.8966242.670269e-08
0.7539741.8962742.662337e-08
0.7572851.8959262.654371e-08
0.7606111.8955812.646370e-08
0.7639511.895242.638334e-08
0.7673061.8949012.630262e-08
0.7706751.8945662.622155e-08
0.774061.8942342.614012e-08
0.7774591.8939042.605834e-08
0.7808731.8935772.597619e-08
0.7843021.8932532.589369e-08
0.7877461.8929322.581082e-08
0.7912061.8926142.572759e-08
0.794681.8922992.564399e-08
0.798171.8919862.556003e-08
0.81.8918232.551600e-08
0.8016751.8916762.534203e-08
0.8051961.8913682.497639e-08
0.8087311.8910632.460915e-08
0.8122831.8907612.424030e-08
0.815851.8904612.386982e-08
0.8194331.8901632.349772e-08
0.8230311.8898682.312399e-08
0.8266451.8895762.274861e-08
0.8302761.8892852.237159e-08
0.8339221.8889982.199291e-08
0.8375841.8887122.161256e-08
0.8412621.8884292.123055e-08
0.8449561.8881482.084686e-08
0.8486671.8878692.046148e-08
0.851.887772.032300e-08
0.8523931.8875932.038020e-08
0.8561371.8873192.046967e-08
0.8598961.8870462.055952e-08
0.8636721.8867762.064977e-08
0.8674651.8865082.074042e-08
0.8712751.8862432.083146e-08
0.8751011.8859792.092291e-08
0.8789441.8857172.101475e-08
0.8828031.8854572.110700e-08
0.886681.8851992.119965e-08
0.8905741.8849432.129271e-08
0.8944851.8846892.138618e-08
0.8984131.8844372.148006e-08
0.91.8843362.151800e-08
0.9023581.8841862.157440e-08
0.9063211.8839382.166919e-08
0.9103011.8836912.176439e-08
0.9142981.8834462.186001e-08
0.9183131.8832032.195605e-08
0.9223461.8829612.205251e-08
0.9263961.8827212.214940e-08
0.9304641.8824832.224671e-08
0.934551.8822472.234445e-08
0.9386541.8820122.244261e-08
0.9427761.8817782.254121e-08
0.9469161.8815472.264024e-08
0.951.8813762.271400e-08
0.9510751.8813172.273969e-08
0.9552511.8810882.283951e-08
0.9594461.8808612.293976e-08
0.963661.8806352.304046e-08
0.9678911.8804112.314160e-08
0.9721421.8801882.324319e-08
0.9764111.8799672.334522e-08
0.9806991.8797472.344770e-08
0.9850051.8795292.355062e-08
0.9893311.8793112.365400e-08
0.9936751.8790962.375784e-08
0.9980391.8788812.386213e-08
11.8787852.390900e-08
1.002421.8786682.362558e-08
1.006821.8784562.311040e-08
1.011251.8782452.259295e-08
1.015691.8780362.207324e-08
1.020151.8778272.155124e-08
1.024631.877622.102694e-08
1.029131.8774152.050035e-08
1.033641.877211.997144e-08
1.038181.8770061.944021e-08
1.042741.8768041.890664e-08
1.047321.8766021.837074e-08
1.051921.8764021.783248e-08
1.056541.8762031.729185e-08
1.061.8760551.688700e-08
1.061181.8760051.690581e-08
1.065841.8758081.698007e-08
1.070521.8756111.705466e-08
1.075221.8754161.712957e-08
1.079941.8752221.720482e-08
1.084691.8750291.728039e-08
1.089451.8748371.735630e-08
1.094231.8746451.743254e-08
1.099041.8744551.750911e-08
1.103871.8742651.758602e-08
1.108711.8740761.766327e-08
1.113581.8738881.774086e-08
1.118471.8737011.781879e-08
1.123381.8735151.789706e-08
1.128321.873331.797567e-08
1.133271.8731451.805463e-08
1.138251.8729611.813394e-08
1.143251.8727781.821359e-08
1.148271.8725961.829360e-08
1.153311.8724141.837395e-08
1.158371.8722331.845466e-08
1.163461.8720531.853572e-08
1.168571.8718731.861714e-08
1.17371.8716941.869892e-08
1.178861.8715151.878106e-08
1.184031.8713381.886355e-08
1.189231.871161.894641e-08
1.194451.8709841.902963e-08
1.19971.8708081.911322e-08
1.21.8707981.911800e-08
1.204971.8706321.919715e-08
1.210261.8704581.928144e-08
1.215571.8702831.936610e-08
1.220911.8701091.945114e-08
1.226271.8699361.953655e-08
1.231661.8697631.962233e-08
1.237071.869591.970849e-08
1.24251.8694181.979503e-08
1.247961.8692471.988195e-08
1.253441.8690761.996925e-08
1.258941.8689052.005694e-08
1.264471.8687352.014500e-08
1.270021.8685652.023346e-08
1.27561.8683952.032230e-08
1.28121.8682262.041154e-08
1.286831.8680572.050117e-08
1.292481.8678882.059119e-08
1.298151.867722.068160e-08
1.303861.8675522.077241e-08
1.309581.8673842.086362e-08
1.315331.8672162.095524e-08
1.321111.8670492.104725e-08
1.326911.8668822.113967e-08
1.332741.8667152.123249e-08
1.338591.8665482.132572e-08
1.344471.8663822.141936e-08
1.350371.8662162.151342e-08
1.35631.8660492.160788e-08
1.362261.8658832.170276e-08
1.368241.8657182.179806e-08
1.374251.8655522.189377e-08
1.380281.8653862.198991e-08
1.386341.865222.208646e-08
1.392431.8650552.218345e-08
1.398551.8648892.228085e-08
1.41.864852.230400e-08
1.404691.8647242.327730e-08
1.410861.8645592.455783e-08
1.417051.8643932.584398e-08
1.423281.8642282.713577e-08
1.429531.8640622.843324e-08
1.43581.8638972.973641e-08
1.442111.8637313.104530e-08
1.448441.8635663.235994e-08
1.45481.86343.368036e-08
1.461191.8632353.500657e-08
1.467611.8630693.633860e-08
1.474051.8629033.767648e-08
1.480531.8627373.902024e-08
1.487031.8625714.036990e-08
1.493561.8624044.172549e-08
1.500121.8622384.308703e-08
1.50671.8620714.445455e-08
1.513321.8619044.582807e-08
1.519971.8617374.720763e-08
1.526641.861574.859324e-08
1.533341.8614024.998494e-08
1.540081.8612345.138275e-08
1.546841.8610665.278670e-08
1.553631.8608985.419682e-08
1.560461.8607295.561312e-08
1.567311.860565.703565e-08
1.574191.860395.846442e-08
1.58111.8602215.989947e-08
1.588051.8600516.134082e-08
1.595021.859886.278850e-08
1.61.8597596.382200e-08
1.602031.8597096.522109e-08
1.609061.8595387.007982e-08
1.616131.8593667.495990e-08
1.623221.8591947.986140e-08
1.630351.8590228.478443e-08
1.637511.8588498.972908e-08
1.64471.8586759.469544e-08
1.651931.8585019.968361e-08
1.659181.8583271.046937e-07
1.666471.8581521.097258e-07
1.673781.8579761.147799e-07
1.681131.85781.198563e-07
1.688521.8576241.249550e-07
1.695931.8574461.300760e-07
1.703381.8572681.352196e-07
1.710861.857091.403857e-07
1.718371.8569111.455745e-07
1.725921.8567311.507861e-07
1.73351.8565511.560206e-07
1.741111.856371.612781e-07
1.748761.8561881.665586e-07
1.756441.8560061.718624e-07
1.764151.8558221.771894e-07
1.77191.8556381.825398e-07
1.779681.8554541.879138e-07
1.787491.8552681.933113e-07
1.795341.8550821.987325e-07
1.81.8549722.019500e-07
1.803231.8548952.049283e-07
1.811141.8547072.122404e-07
1.81911.8545192.195846e-07
1.827091.8543292.269611e-07
1.835111.8541392.343699e-07
1.843171.8539472.418113e-07
1.851261.8537552.492854e-07
1.859391.8535622.567923e-07
1.867561.8533682.643321e-07
1.875761.8531732.719051e-07
1.8841.8529772.795113e-07
1.892271.852782.871509e-07
1.900581.8525822.948241e-07
1.908921.8523833.025310e-07
1.917311.8521833.102717e-07
1.925731.8519823.180464e-07
1.934181.851783.258552e-07
1.942681.8515763.336984e-07
1.951211.8513723.415759e-07
1.959781.8511663.494881e-07
1.968381.850963.574350e-07
1.977031.8507523.654169e-07
1.985711.8505433.734337e-07
1.994431.8503323.814858e-07
21.8501983.866300e-07
2.003191.8501213.930229e-07
2.011981.8499084.106666e-07
2.020821.8496944.283878e-07
2.029691.8494794.461868e-07
2.038611.8492624.640640e-07
2.047561.8490454.820196e-07
2.056551.8488255.000542e-07
2.065581.8486055.181679e-07
2.074651.8483835.363611e-07
2.083761.8481595.546343e-07
2.092911.8479355.729877e-07
2.10211.8477085.914217e-07
2.111341.8474816.099367e-07
2.120611.8472516.285329e-07
2.129921.8470216.472108e-07
2.139271.8467886.659708e-07
2.148671.8465556.848131e-07
2.15811.8463197.037382e-07
2.167581.8460827.227463e-07
2.17711.8458447.418380e-07
2.186661.8456047.610135e-07
2.196261.8453627.802732e-07
2.21.8452677.877700e-07
2.205911.8451188.072606e-07
2.215591.8448738.392243e-07
2.225321.8446268.713284e-07
2.23511.8443779.035735e-07
2.244911.8441279.359601e-07
2.254771.8438749.684890e-07
2.264671.843621.001161e-06
2.274621.8433641.033976e-06
2.28461.8431061.066935e-06
2.294641.8428471.100039e-06
2.304711.8425851.133289e-06
2.314831.8423211.166684e-06
2.3251.8420561.200226e-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
—