Optical constants

Refractive index of H-ZLAF76A (CDGM)

H-ZLAF76A: n,k 0.365–2.325 µm

Data
formula 2 + tabulated k
Range
0.365–2.325 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.365–2.325 µm
Refractive index n
1.85012
Extinction coefficient k
8.06332e-08
Permittivity ε1
3.42296
Permittivity ε2
2.98363e-07
Absorption coefficient α
0.0172442 cm⁻¹
Penetration depth δ = λ/(2πk)
1.15981e+09 nm
Abbe number Vd
30.012
Chromatic dispersion dn/dλ
-0.142613 µm⁻¹
Group index ng
1.93392
Group velocity dispersion
287.2 fs²/mm
Dispersion parameter D
-1566.83 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-ZLAF76A (CDGM): H-ZLAF76A
cdgm_h_zlaf76a = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZLAF76A", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zlaf76a.range_nm)  # (365, 2325) nm
eps = cdgm_h_zlaf76a.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=2.00079286λ2λ2−0.012959987+1.53020671λ2λ2−131.107483+0.289955307λ2λ2−0.057737977

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C22.00079286
C30.012959987
C41.53020671
C5131.107483
C60.289955307
C70.057737977

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 4.09e-06 1.67e-08 -4.15e-11 1.04e-06 1.1e-09 0.255
nd
1.850130
Vd
30.012319
glass code
850300
density
value: 4310
thermal expansion
value: 6.4e-06, temperature range: 243 343; value: 7.6e-06, temperature range: 293 573
dPgF
0.0052
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 4.68e-06 K⁻¹ at 633 nm, dn/dT = 2.98e-06 K⁻¹ at 1310 nm, dn/dT = 2.85e-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 425 wavelengths, the same grid as the API and the library
H-ZLAF76A (CDGM), H-ZLAF76A: n and k versus wavelength
λ (µm)nk
0.3651.9304357.144800e-06
0.3666981.928936.092815e-06
0.3684031.9274515.035937e-06
0.371.9260974.046600e-06
0.3701171.9259984.022134e-06
0.3718381.9245713.661937e-06
0.3735681.9231683.300065e-06
0.3753061.9217892.936509e-06
0.3770511.9204332.571262e-06
0.3788051.91912.204317e-06
0.381.9182071.954300e-06
0.3805671.9177891.908786e-06
0.3823371.9164991.766697e-06
0.3841161.9152311.623947e-06
0.3859021.9139831.480532e-06
0.3876971.9127551.336451e-06
0.38951.9115471.191699e-06
0.391.9112171.151600e-06
0.3913121.9103581.104269e-06
0.3931321.9091871.038613e-06
0.3949611.9080359.726523e-07
0.3967981.9069019.063847e-07
0.3986441.9057848.398088e-07
0.41.9049777.908800e-07
0.4004981.9046847.833557e-07
0.4023611.9036017.551988e-07
0.4042321.9025347.269109e-07
0.4061121.9014836.984914e-07
0.4080011.9004476.699397e-07
0.4098991.8994276.412552e-07
0.4118061.8984226.124373e-07
0.4137211.8974325.834854e-07
0.4156451.8964555.543988e-07
0.4175791.8954935.251769e-07
0.4195211.8945454.958191e-07
0.421.8943144.885800e-07
0.4214721.893614.794835e-07
0.4234331.8926884.673721e-07
0.4254021.8917794.552044e-07
0.4273811.8908834.429801e-07
0.4293691.894.306989e-07
0.4313661.8891284.183606e-07
0.4333721.8882694.059649e-07
0.4353881.8874213.935115e-07
0.4374131.8865853.810002e-07
0.4394481.885763.684308e-07
0.441.8855393.650200e-07
0.4414921.8849463.593745e-07
0.4435451.8841433.516040e-07
0.4456091.8833513.437973e-07
0.4476811.8825693.359543e-07
0.4497641.8817973.280748e-07
0.4518561.8810363.201587e-07
0.4539571.8802853.122058e-07
0.4560691.8795433.042158e-07
0.458191.8788112.961887e-07
0.461.8781962.893400e-07
0.4603211.8780882.884888e-07
0.4624621.8773752.828159e-07
0.4646131.876672.771167e-07
0.4667751.8759752.713909e-07
0.4689461.8752882.656385e-07
0.4711271.8746112.598594e-07
0.4733181.8739412.540534e-07
0.475521.873282.482203e-07
0.4777321.8726272.423602e-07
0.4799541.8719822.364727e-07
0.481.8719692.363500e-07
0.4821861.8713452.314521e-07
0.4844291.8707162.264270e-07
0.4866821.8700952.213787e-07
0.4889461.8694812.163068e-07
0.491221.8688752.112113e-07
0.4935051.8682762.060922e-07
0.49581.8676842.009492e-07
0.4981071.8670991.957823e-07
0.51.8666261.915400e-07
0.5004231.8665211.908184e-07
0.5027511.865951.868512e-07
0.5050891.8653861.828655e-07
0.5074391.8648291.788613e-07
0.5097991.8642781.748384e-07
0.512171.8637331.707969e-07
0.5145531.8631951.667366e-07
0.5169461.8626631.626573e-07
0.519351.8621371.585591e-07
0.5217661.8616181.544418e-07
0.5241931.8611041.503054e-07
0.5266311.8605961.461498e-07
0.5290811.8600941.419748e-07
0.5315421.8595981.377804e-07
0.5340141.8591081.335665e-07
0.5364981.8586221.293329e-07
0.5389931.8581431.250797e-07
0.54151.8576691.208067e-07
0.5440191.85721.165139e-07
0.5465491.8567361.122010e-07
0.5490921.8562781.078681e-07
0.551.8561161.063200e-07
0.5516461.8558241.051957e-07
0.5542121.8553761.034428e-07
0.5567891.8549321.016818e-07
0.5593791.8544949.991250e-08
0.5619811.854069.813502e-08
0.5645951.8536319.634926e-08
0.5672211.8532079.455520e-08
0.5698591.8527879.275280e-08
0.572511.8523719.094201e-08
0.5751731.8519618.912280e-08
0.5778481.8515548.729513e-08
0.5805361.8511528.545896e-08
0.5832361.8507558.361425e-08
0.5859491.8503618.176095e-08
0.5886751.8499727.989904e-08
0.5914131.8495877.802847e-08
0.5941641.8492057.614919e-08
0.5969271.8488287.426117e-08
0.5997041.8484557.236438e-08
0.61.8484167.216200e-08
0.6024931.8480867.089556e-08
0.6052961.847726.947206e-08
0.6081111.8473596.804193e-08
0.610941.8470016.660515e-08
0.6137811.8466476.516169e-08
0.6166361.8462966.371152e-08
0.6195041.8459496.225460e-08
0.6223861.8456066.079090e-08
0.6252811.8452665.932040e-08
0.6281891.8449295.784305e-08
0.6311111.8445965.635884e-08
0.6340471.8442665.486772e-08
0.6369961.843945.336966e-08
0.6399591.8436175.186464e-08
0.6429351.8432975.035262e-08
0.6459261.842984.883356e-08
0.648931.8426674.730744e-08
0.651.8425564.676400e-08
0.6519491.8423564.646650e-08
0.6549811.8420494.600351e-08
0.6580281.8417454.553836e-08
0.6610881.8414434.507105e-08
0.6641631.8411454.460157e-08
0.6672521.8408494.412991e-08
0.6703561.8405574.365605e-08
0.6734741.8402674.317998e-08
0.6766071.839984.270170e-08
0.6797541.8396954.222120e-08
0.6829151.8394144.173846e-08
0.6860921.8391354.125348e-08
0.6892831.8388594.076624e-08
0.6924891.8385854.027674e-08
0.695711.8383143.978496e-08
0.6989461.8380463.929089e-08
0.71.8379593.913000e-08
0.7021971.837783.911203e-08
0.7054631.8375163.908531e-08
0.7087451.8372553.905847e-08
0.7120411.8369973.903150e-08
0.7153531.8367413.900441e-08
0.7186811.8364873.897719e-08
0.7220231.8362353.894985e-08
0.7253821.8359863.892238e-08
0.7287561.8357393.889478e-08
0.7321461.8354953.886705e-08
0.7355511.8352523.883919e-08
0.7389721.8350123.881121e-08
0.7424091.8347743.878309e-08
0.7458631.8345383.875484e-08
0.7493321.8343043.872646e-08
0.7528171.8340723.869795e-08
0.7563191.8338423.866931e-08
0.7598371.8336153.864054e-08
0.7633711.8333893.861162e-08
0.7669221.8331653.858258e-08
0.7704891.8329433.855340e-08
0.7740731.8327233.852408e-08
0.7776731.8325053.849463e-08
0.781291.8322893.846504e-08
0.7849241.8320753.843532e-08
0.7885751.8318623.840545e-08
0.7922431.8316513.837545e-08
0.7959281.8314433.834531e-08
0.799631.8312353.831502e-08
0.81.8312153.831200e-08
0.803351.831033.756158e-08
0.8070861.8308263.672450e-08
0.810841.8306243.588352e-08
0.8146121.8304243.503863e-08
0.8184011.8302253.418981e-08
0.8222081.8300283.333705e-08
0.8260321.8298323.248031e-08
0.8298741.8296383.161960e-08
0.8337341.8294453.075487e-08
0.8376121.8292542.988613e-08
0.8415081.8290652.901335e-08
0.8454221.8288772.813650e-08
0.8493551.8286912.725558e-08
0.851.828662.711100e-08
0.8533051.8285062.721637e-08
0.8572741.8283222.734290e-08
0.8612621.828142.747002e-08
0.8652681.8279592.759773e-08
0.8692921.8277792.772604e-08
0.8733361.8276012.785494e-08
0.8773981.8274252.798445e-08
0.8814791.8272492.811455e-08
0.8855791.8270752.824526e-08
0.8896981.8269022.837658e-08
0.8938361.826732.850851e-08
0.8979941.826562.864105e-08
0.91.8264782.870500e-08
0.9021711.8263912.877425e-08
0.9063671.8262232.890811e-08
0.9105831.8260562.904260e-08
0.9148181.825892.917771e-08
0.9190731.8257262.931344e-08
0.9233481.8255632.944981e-08
0.9276431.82542.958682e-08
0.9319581.8252392.972446e-08
0.9362931.8250792.986274e-08
0.9406481.824923.000167e-08
0.9450231.8247623.014124e-08
0.9494191.8246053.028146e-08
0.951.8245853.030000e-08
0.9538351.824453.103543e-08
0.9582711.8242953.188628e-08
0.9627291.8241413.274109e-08
0.9672071.8239883.359987e-08
0.9717051.8238363.446265e-08
0.9762251.8236853.532944e-08
0.9807661.8235353.620027e-08
0.9853281.8233863.707514e-08
0.9899111.8232383.795409e-08
0.9945151.823093.883712e-08
0.9991411.8229443.972426e-08
11.8229173.988900e-08
1.003791.8227983.950512e-08
1.008461.8226533.903200e-08
1.013151.8225093.855668e-08
1.017861.8223663.807914e-08
1.022591.8222243.759939e-08
1.027351.8220823.711741e-08
1.032131.8219413.663318e-08
1.036931.8218013.614670e-08
1.041751.8216623.565796e-08
1.04661.8215233.516694e-08
1.051471.8213853.467365e-08
1.056361.8212483.417805e-08
1.061.8211473.380900e-08
1.061271.8211113.384955e-08
1.066211.8209763.400699e-08
1.071171.820843.416515e-08
1.076151.8207063.432405e-08
1.081151.8205723.448369e-08
1.086181.8204383.464408e-08
1.091241.8203063.480521e-08
1.096311.8201743.496708e-08
1.101411.8200423.512972e-08
1.106531.8199113.529310e-08
1.111681.8197813.545725e-08
1.116851.8196513.562216e-08
1.122051.8195223.578784e-08
1.127271.8193933.595429e-08
1.132511.8192643.612151e-08
1.137781.8191373.628951e-08
1.143071.8190093.645830e-08
1.148391.8188823.662786e-08
1.153731.8187563.679822e-08
1.159091.818633.696937e-08
1.164481.8185043.714131e-08
1.16991.8183793.731406e-08
1.175341.8182543.748761e-08
1.180811.818133.766196e-08
1.18631.8180063.783713e-08
1.191821.8178833.801311e-08
1.197361.8177593.818991e-08
1.21.8177013.827400e-08
1.202931.8176363.836754e-08
1.208531.8175143.854600e-08
1.214151.8173923.872529e-08
1.21981.817273.890541e-08
1.225471.8171483.908637e-08
1.231171.8170273.926818e-08
1.23691.8169063.945083e-08
1.242651.8167853.963433e-08
1.248431.8166643.981868e-08
1.254241.8165444.000389e-08
1.260071.8164244.018996e-08
1.265931.8163044.037690e-08
1.271821.8161854.056470e-08
1.277741.8160654.075338e-08
1.283681.8159464.094294e-08
1.289651.8158274.113338e-08
1.295651.8157084.132470e-08
1.301671.8155894.151692e-08
1.307731.8154714.171003e-08
1.313811.8153524.190403e-08
1.319921.8152344.209894e-08
1.326061.8151164.229476e-08
1.332231.8149984.249149e-08
1.338431.814884.268913e-08
1.344651.8147624.288769e-08
1.350911.8146444.308717e-08
1.357191.8145264.328759e-08
1.36351.8144084.348893e-08
1.369851.814294.369121e-08
1.376221.8141724.389444e-08
1.382621.8140554.409860e-08
1.389051.8139374.430372e-08
1.395511.8138194.450979e-08
1.41.8137374.465300e-08
1.4021.8137014.484478e-08
1.408521.8135834.546981e-08
1.415071.8134654.609774e-08
1.421661.8133484.672858e-08
1.428271.8132294.736237e-08
1.434911.8131114.799910e-08
1.441591.8129934.863879e-08
1.448291.8128754.928146e-08
1.455031.8127564.992712e-08
1.46181.8126385.057578e-08
1.468591.8125195.122746e-08
1.475431.81245.188217e-08
1.482291.8122815.253992e-08
1.489181.8121625.320074e-08
1.496111.8120435.386463e-08
1.503071.8119235.453160e-08
1.510061.8118045.520168e-08
1.517081.8116845.587487e-08
1.524141.8115635.655120e-08
1.531231.8114435.723067e-08
1.538351.8113225.791330e-08
1.545511.8112015.859911e-08
1.55271.811085.928811e-08
1.559921.8109595.998031e-08
1.567171.8108376.067573e-08
1.574461.8107156.137439e-08
1.581791.8105926.207630e-08
1.589141.810476.278147e-08
1.596541.8103466.348992e-08
1.61.8102896.382200e-08
1.603961.8102236.569602e-08
1.611421.8100996.922553e-08
1.618921.8099757.277146e-08
1.626451.809857.633388e-08
1.634011.8097257.991288e-08
1.641611.80968.350852e-08
1.649251.8094748.712088e-08
1.656921.8093489.075005e-08
1.664631.8092219.439610e-08
1.672371.8090949.805911e-08
1.680151.8089661.017391e-07
1.687961.8088381.054363e-07
1.695811.8087091.091507e-07
1.70371.808581.128823e-07
1.711631.808451.166313e-07
1.719591.808321.203977e-07
1.727591.8081891.241817e-07
1.735621.8080581.279832e-07
1.743691.8079261.318025e-07
1.751811.8077941.356395e-07
1.759951.807661.394943e-07
1.768141.8075271.433671e-07
1.776361.8073921.472579e-07
1.784631.8072571.511667e-07
1.792931.8071221.550938e-07
1.81.8070061.584400e-07
1.801271.8069851.591647e-07
1.809641.8068481.639592e-07
1.818061.8067111.687760e-07
1.826521.8065721.736151e-07
1.835011.8064331.784768e-07
1.843551.8062931.833611e-07
1.852121.8061531.882682e-07
1.860741.8060111.931980e-07
1.869391.8058691.981508e-07
1.878091.8057262.031266e-07
1.886821.8055822.081255e-07
1.89561.8054382.131477e-07
1.904421.8052922.181933e-07
1.913281.8051462.232623e-07
1.922181.8049992.283550e-07
1.931121.8048512.334713e-07
1.94011.8047022.386114e-07
1.949121.8045522.437754e-07
1.958191.8044012.489634e-07
1.96731.804252.541755e-07
1.976451.8040972.594119e-07
1.985641.8039432.646727e-07
1.994881.8037892.699579e-07
21.8037032.728900e-07
2.004161.8036332.805559e-07
2.013481.8034762.977545e-07
2.022841.8033193.150331e-07
2.032251.803163.323920e-07
2.04171.8033.498318e-07
2.05121.8028393.673526e-07
2.060741.8026773.849549e-07
2.070331.8025144.026391e-07
2.079961.802354.204055e-07
2.089631.8021854.382546e-07
2.099351.8020184.561867e-07
2.109121.8018514.742023e-07
2.118931.8016824.923016e-07
2.128781.8015115.104851e-07
2.138681.801345.287531e-07
2.148631.8011675.471062e-07
2.158621.8009945.655446e-07
2.168671.8008185.840688e-07
2.178751.8006426.026791e-07
2.188891.8004646.213760e-07
2.199071.8002856.401599e-07
2.21.8002686.418800e-07
2.20931.8001046.850992e-07
2.219571.7999227.328742e-07
2.22991.7997397.808713e-07
2.240271.7995548.290917e-07
2.250691.7993688.775364e-07
2.261161.799189.262064e-07
2.271671.7989919.751028e-07
2.282241.79881.024227e-06
2.292861.7986081.073579e-06
2.303521.7984141.123161e-06
2.314241.7982191.172973e-06
2.3251.7980221.223017e-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
—