Optical constants

Refractive index of H-ZLAF68C (CDGM)

H-ZLAF68C: 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
1.883
Extinction coefficient k
2.34385e-08
Permittivity ε1
3.54567
Permittivity ε2
8.82692e-08
Absorption coefficient α
0.00501254 cm⁻¹
Penetration depth δ = λ/(2πk)
3.98999e+09 nm
Abbe number Vd
40.847
Chromatic dispersion dn/dλ
-0.110335 µm⁻¹
Group index ng
1.94783
Group velocity dispersion
208.857 fs²/mm
Dispersion parameter D
-1139.42 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-ZLAF68C (CDGM): H-ZLAF68C
cdgm_h_zlaf68c = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZLAF68C", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zlaf68c.range_nm)  # (365, 2325) nm
eps = cdgm_h_zlaf68c.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=1.58833884λ2λ2−0.00689365045+0.851761035λ2λ2−0.0288290435+1.58277416λ2λ2−125.035659

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C21.58833884
C30.00689365045
C40.851761035
C50.0288290435
C61.58277416
C7125.035659

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 6.22e-07 1.34e-08 -3.94e-11 8.98e-07 8.81e-10 0.175
nd
1.883000
Vd
40.847465
glass code
883409
density
value: 5340
thermal expansion
value: 7e-06, temperature range: 243 343; value: 8.7e-06, temperature range: 293 573
dPgF
-0.0084
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 2.05e-06 K⁻¹ at 633 nm, dn/dT = 7.59e-07 K⁻¹ at 1310 nm, dn/dT = 6.55e-07 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-ZLAF68C (CDGM), H-ZLAF68C: n and k versus wavelength
λ (µm)nk
0.3651.9391491.197980e-06
0.3666981.9382141.112713e-06
0.3684031.9372911.027049e-06
0.371.9364419.468600e-07
0.3701171.9363799.431955e-07
0.3718381.9354798.892460e-07
0.3735681.9345918.350456e-07
0.3753061.9337137.805931e-07
0.3770511.9328477.258872e-07
0.3788051.9319916.709270e-07
0.381.9314166.334800e-07
0.3805671.9311466.228781e-07
0.3823371.9303115.897799e-07
0.3841161.9294875.565278e-07
0.3859021.9286735.231211e-07
0.3876971.9278694.895590e-07
0.38951.9270754.558407e-07
0.391.9268574.465000e-07
0.3913121.926294.309918e-07
0.3931321.9255154.094798e-07
0.3949611.9247493.878677e-07
0.3967981.9239923.661551e-07
0.3986441.9232453.443415e-07
0.41.9227043.283100e-07
0.4004981.9225073.255517e-07
0.4023611.9217773.152296e-07
0.4042321.9210563.048596e-07
0.4061121.9203442.944413e-07
0.4080011.919642.839746e-07
0.4098991.9189442.734591e-07
0.4118061.9182572.628948e-07
0.4137211.9175772.522813e-07
0.4156451.9169062.416185e-07
0.4175791.9162422.309060e-07
0.4195211.9155862.201438e-07
0.421.9154262.174900e-07
0.4214721.9149382.138878e-07
0.4234331.9142972.090916e-07
0.4254021.9136642.042732e-07
0.4273811.9130381.994323e-07
0.4293691.9124191.945690e-07
0.4313661.9118071.896830e-07
0.4333721.9112021.847743e-07
0.4353881.9106041.798427e-07
0.4374131.9100131.748882e-07
0.4394481.9094291.699107e-07
0.441.9092721.685600e-07
0.4414921.9088511.645847e-07
0.4435451.9082791.591131e-07
0.4456091.9077151.536161e-07
0.4476811.9071561.480934e-07
0.4497641.9066041.425451e-07
0.4518561.9060571.369710e-07
0.4539571.9055171.313709e-07
0.4560691.9049831.257448e-07
0.458191.9044551.200925e-07
0.461.9040111.152700e-07
0.4603211.9039321.147206e-07
0.4624621.9034161.110591e-07
0.4646131.9029051.073805e-07
0.4667751.9023991.036849e-07
0.4689461.9018999.997206e-08
0.4711271.9014059.624196e-08
0.4733181.9009169.249450e-08
0.475521.9004328.872961e-08
0.4777321.8999548.494722e-08
0.4799541.899488.114722e-08
0.481.899478.106800e-08
0.4821861.8990127.833866e-08
0.4844291.8985497.553852e-08
0.4866821.898097.272535e-08
0.4889461.8976376.989909e-08
0.491221.8971886.705969e-08
0.4935051.8967456.420709e-08
0.49581.8963066.134121e-08
0.4981071.8958715.846201e-08
0.51.8955195.609800e-08
0.5004231.8954415.580876e-08
0.5027511.8950165.421856e-08
0.5050891.8945955.262097e-08
0.5074391.8941795.101595e-08
0.5097991.8937674.940347e-08
0.512171.8933594.778348e-08
0.5145531.8929554.615596e-08
0.5169461.8925564.452087e-08
0.519351.8921614.287817e-08
0.5217661.8917694.122783e-08
0.5241931.8913823.956982e-08
0.5266311.8909993.790409e-08
0.5290811.890623.623062e-08
0.5315421.8902453.454936e-08
0.5340141.8898733.286028e-08
0.5364981.8895063.116335e-08
0.5389931.8891422.945852e-08
0.54151.8887812.774576e-08
0.5440191.8884252.602504e-08
0.5465491.8880722.429631e-08
0.5490921.8877222.255954e-08
0.551.8875992.193900e-08
0.5516461.8873762.200463e-08
0.5542121.8870342.210696e-08
0.5567891.8866952.220976e-08
0.5593791.8863592.231304e-08
0.5619811.8860272.241680e-08
0.5645951.8856972.252105e-08
0.5672211.8853722.262578e-08
0.5698591.8850492.273100e-08
0.572511.884732.283670e-08
0.5751731.8844132.294290e-08
0.5778481.88412.304959e-08
0.5805361.883792.315678e-08
0.5832361.8834832.326447e-08
0.5859491.8831792.337265e-08
0.5886751.8828782.348134e-08
0.5914131.8825792.359054e-08
0.5941641.8822842.370024e-08
0.5969271.8819912.381046e-08
0.5997041.8817022.392119e-08
0.61.8816712.393300e-08
0.6024931.8814152.403248e-08
0.6052961.8811312.414429e-08
0.6081111.8808492.425663e-08
0.610941.880572.436949e-08
0.6137811.8802942.448287e-08
0.6166361.880022.459678e-08
0.6195041.8797492.471122e-08
0.6223861.8794812.482619e-08
0.6252811.8792152.494170e-08
0.6281891.8789512.505775e-08
0.6311111.878692.517433e-08
0.6340471.8784322.529146e-08
0.6369961.8781752.540913e-08
0.6399591.8779222.552735e-08
0.6429351.877672.564612e-08
0.6459261.8774212.576544e-08
0.648931.8771742.588531e-08
0.651.8770872.592800e-08
0.6519491.8769292.578763e-08
0.6549811.8766872.556917e-08
0.6580281.8764462.534970e-08
0.6610881.8762082.512921e-08
0.6641631.8759722.490769e-08
0.6672521.8757382.468514e-08
0.6703561.8755072.446155e-08
0.6734741.8752772.423693e-08
0.6766071.8750492.401126e-08
0.6797541.8748242.378454e-08
0.6829151.87462.355677e-08
0.6860921.8743782.332794e-08
0.6892831.8741592.309804e-08
0.6924891.8739412.286707e-08
0.695711.8737252.263503e-08
0.6989461.8735112.240191e-08
0.71.8734422.232600e-08
0.7021971.8732982.239609e-08
0.7054631.8730882.250028e-08
0.7087451.8728792.260496e-08
0.7120411.8726732.271012e-08
0.7153531.8724672.281577e-08
0.7186811.8722642.292191e-08
0.7220231.8720622.302855e-08
0.7253821.8718632.313568e-08
0.7287561.8716642.324331e-08
0.7321461.8714682.335144e-08
0.7355511.8712732.346008e-08
0.7389721.8710792.356922e-08
0.7424091.8708872.367886e-08
0.7458631.8706972.378902e-08
0.7493321.8705082.389969e-08
0.7528171.8703212.401087e-08
0.7563191.8701362.412257e-08
0.7598371.8699512.423479e-08
0.7633711.8697692.434754e-08
0.7669221.8695872.446080e-08
0.7704891.8694082.457460e-08
0.7740731.8692292.468892e-08
0.7776731.8690522.480378e-08
0.781291.8688762.491916e-08
0.7849241.8687022.503509e-08
0.7885751.8685292.515156e-08
0.7922431.8683582.526856e-08
0.7959281.8681872.538611e-08
0.799631.8680182.550421e-08
0.81.8680012.551600e-08
0.803351.867852.516809e-08
0.8070861.8676842.478000e-08
0.810841.8675192.439011e-08
0.8146121.8673542.399840e-08
0.8184011.8671922.360487e-08
0.8222081.867032.320952e-08
0.8260321.8668692.281232e-08
0.8298741.866712.241327e-08
0.8337341.8665522.201237e-08
0.8376121.8663952.160960e-08
0.8415081.8662392.120496e-08
0.8454221.8660842.079844e-08
0.8493551.865932.039003e-08
0.851.8659052.032300e-08
0.8533051.8657771.992736e-08
0.8572741.8656251.945227e-08
0.8612621.8654751.897497e-08
0.8652681.8653251.849545e-08
0.8692921.8651761.801370e-08
0.8733361.8650291.752971e-08
0.8773981.8648821.704347e-08
0.8814791.8647361.655497e-08
0.8855791.8645911.606419e-08
0.8896981.8644471.557113e-08
0.8938361.8643041.507578e-08
0.8979941.8641621.457812e-08
0.91.8640941.433800e-08
0.9021711.8640211.437260e-08
0.9063671.8638811.443949e-08
0.9105831.8637411.450669e-08
0.9148181.8636031.457420e-08
0.9190731.8634651.464203e-08
0.9233481.8633281.471017e-08
0.9276431.8631921.477863e-08
0.9319581.8630561.484741e-08
0.9362931.8629221.491651e-08
0.9406481.8627881.498593e-08
0.9450231.8626551.505567e-08
0.9494191.8625221.512573e-08
0.951.8625051.513500e-08
0.9538351.8623911.519605e-08
0.9582711.862261.526668e-08
0.9627291.8621291.533764e-08
0.9672071.8621.540893e-08
0.9717051.8618711.548055e-08
0.9762251.8617431.555250e-08
0.9807661.8616151.562479e-08
0.9853281.8614881.569742e-08
0.9899111.8613621.577038e-08
0.9945151.8612361.584368e-08
0.9991411.8611111.591732e-08
11.8610881.593100e-08
1.003791.8609871.599136e-08
1.008461.8608631.606575e-08
1.013151.8607391.614049e-08
1.017861.8606171.621558e-08
1.022591.8604941.629101e-08
1.027351.8603731.636680e-08
1.032131.8602521.644293e-08
1.036931.8601311.651943e-08
1.041751.8600111.659628e-08
1.04661.8598911.667348e-08
1.051471.8597721.675105e-08
1.056361.8596531.682897e-08
1.061.8595651.688700e-08
1.061271.8595351.690726e-08
1.066211.8594171.698593e-08
1.071171.8592991.706496e-08
1.076151.8591821.714435e-08
1.081151.8590661.722412e-08
1.086181.8589491.730426e-08
1.091241.8588341.738477e-08
1.096311.8587181.746565e-08
1.101411.8586031.754691e-08
1.106531.8584881.762855e-08
1.111681.8583741.771057e-08
1.116851.858261.779297e-08
1.122051.8581461.787576e-08
1.127271.8580331.795892e-08
1.132511.857921.804248e-08
1.137781.8578071.812642e-08
1.143071.8576941.821076e-08
1.148391.8575821.829549e-08
1.153731.857471.838061e-08
1.159091.8573581.846612e-08
1.164481.8572461.855204e-08
1.16991.8571351.863835e-08
1.175341.8570241.872507e-08
1.180811.8569131.881219e-08
1.18631.8568021.889971e-08
1.191821.8566921.898764e-08
1.197361.8565811.907598e-08
1.21.8565291.911800e-08
1.202931.8564711.916472e-08
1.208531.8563611.925385e-08
1.214151.8562511.934340e-08
1.21981.8561411.943336e-08
1.225471.8560321.952374e-08
1.231171.8559221.961454e-08
1.23691.8558131.970577e-08
1.242651.8557031.979742e-08
1.248431.8555941.988949e-08
1.254241.8554851.998199e-08
1.260071.8553762.007493e-08
1.265931.8552672.016829e-08
1.271821.8551582.026209e-08
1.277741.8550492.035633e-08
1.283681.854942.045101e-08
1.289651.8548312.054612e-08
1.295651.8547222.064168e-08
1.301671.8546132.073768e-08
1.307731.8545042.083413e-08
1.313811.8543952.093103e-08
1.319921.8542862.102837e-08
1.326061.8541772.112617e-08
1.332231.8540682.122443e-08
1.338431.8539582.132314e-08
1.344651.8538492.142231e-08
1.350911.853742.152195e-08
1.357191.853632.162204e-08
1.36351.853522.172260e-08
1.369851.8534112.182363e-08
1.376221.8533012.192513e-08
1.382621.8531912.202711e-08
1.389051.8530812.212955e-08
1.395511.852972.223247e-08
1.41.8528942.230400e-08
1.4021.852862.233588e-08
1.408521.8527492.243976e-08
1.415071.8526382.254412e-08
1.421661.8525272.264897e-08
1.428271.8524162.275431e-08
1.434911.8523042.286014e-08
1.441591.8521922.296646e-08
1.448291.852082.307328e-08
1.455031.8519682.318059e-08
1.46181.8518562.328840e-08
1.468591.8517432.339671e-08
1.475431.851632.350553e-08
1.482291.8515162.361485e-08
1.489181.8514032.372468e-08
1.496111.8512892.383503e-08
1.503071.8511742.394588e-08
1.510061.851062.405725e-08
1.517081.8509442.416914e-08
1.524141.8508292.428155e-08
1.531231.8507132.439448e-08
1.538351.8505972.450794e-08
1.545511.850482.462193e-08
1.55271.8503642.473644e-08
1.559921.8502462.485149e-08
1.567171.8501282.496707e-08
1.574461.850012.508319e-08
1.581791.8498912.519985e-08
1.589141.8497722.531706e-08
1.596541.8496522.543481e-08
1.61.8495962.549000e-08
1.603961.8495322.640720e-08
1.611421.8494122.813466e-08
1.618921.849292.987015e-08
1.626451.8491693.161371e-08
1.634011.8490463.336538e-08
1.641611.8489243.512520e-08
1.649251.84883.689320e-08
1.656921.8486763.866943e-08
1.664631.8485524.045392e-08
1.672371.8484274.224671e-08
1.680151.8483014.404784e-08
1.687961.8481754.585734e-08
1.695811.8480484.767526e-08
1.70371.847924.950164e-08
1.711631.8477925.133652e-08
1.719591.8476635.317993e-08
1.727591.8475345.503191e-08
1.735621.8474035.689250e-08
1.743691.8472725.876176e-08
1.751811.8471416.063970e-08
1.759951.8470086.252638e-08
1.768141.8468756.442184e-08
1.776361.8467416.632611e-08
1.784631.8466076.823924e-08
1.792931.8464717.016127e-08
1.81.8463557.179900e-08
1.801271.8463357.296989e-08
1.809641.8461988.071608e-08
1.818061.846068.849829e-08
1.826521.8459219.631671e-08
1.835011.8457811.041715e-07
1.843551.8456411.120628e-07
1.852121.84551.199908e-07
1.860741.8453571.279557e-07
1.869391.8452141.359577e-07
1.878091.845071.439968e-07
1.886821.8449251.520734e-07
1.89561.8447791.601875e-07
1.904421.8446321.683394e-07
1.913281.8444841.765291e-07
1.922181.8443351.847570e-07
1.931121.8441851.930232e-07
1.94011.8440342.013277e-07
1.949121.8438822.096710e-07
1.958191.8437292.180530e-07
1.96731.8435752.264740e-07
1.976451.843422.349342e-07
1.985641.8432642.434337e-07
1.994881.8431062.519728e-07
21.8430192.567100e-07
2.004161.8429482.662243e-07
2.013481.8427882.875698e-07
2.022841.8426273.090145e-07
2.032251.8424653.305590e-07
2.04171.8423013.522038e-07
2.05121.8421373.739492e-07
2.060741.8419713.957957e-07
2.070331.8418044.177439e-07
2.079961.8416364.397941e-07
2.089631.8414664.619470e-07
2.099351.8412954.842028e-07
2.109121.8411235.065622e-07
2.118931.8409495.290256e-07
2.128781.8407745.515934e-07
2.138681.8405985.742663e-07
2.148631.840425.970446e-07
2.158621.8402416.199288e-07
2.168671.8400616.429195e-07
2.178751.8398796.660171e-07
2.188891.8396956.892222e-07
2.199071.839517.125351e-07
2.21.8394937.146700e-07
2.20931.8393238.081453e-07
2.219571.8391359.114737e-07
2.22991.8389461.015283e-06
2.240271.8387541.119575e-06
2.250691.8385621.224352e-06
2.261161.8383671.329616e-06
2.271671.8381711.435370e-06
2.282241.8379731.541616e-06
2.292861.8377741.648356e-06
2.303521.8375731.755592e-06
2.314241.837371.863327e-06
2.3251.8371651.971564e-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
—