Optical constants

Refractive index of H-ZLAF71 (CDGM)

H-ZLAF71: 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
1.85026
Extinction coefficient k
5.50182e-08
Permittivity ε1
3.42344
Permittivity ε2
2.03595e-07
Absorption coefficient α
0.0117662 cm⁻¹
Penetration depth δ = λ/(2πk)
1.69979e+09 nm
Abbe number Vd
32.297
Chromatic dispersion dn/dλ
-0.132965 µm⁻¹
Group index ng
1.92839
Group velocity dispersion
262.834 fs²/mm
Dispersion parameter D
-1433.9 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-ZLAF71 (CDGM): H-ZLAF71
cdgm_h_zlaf71 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZLAF71", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zlaf71.range_nm)  # (365, 2325) nm
eps = cdgm_h_zlaf71.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=0.276154598λ2λ2−0.0557996382+2.02569085λ2λ2−0.0120700588+1.44513509λ2λ2−99.8778223

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.276154598
C30.0557996382
C42.02569085
C50.0120700588
C61.44513509
C799.8778223

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -2.79e-06 1.48e-08 -2.75e-11 8e-07 8.15e-10 0.275
nd
1.850260
Vd
32.297288
glass code
850323
density
value: 4220
thermal expansion
value: 7.6e-06, temperature range: 243 343; value: 9.2e-06, temperature range: 293 573
dPgF
0.0024
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -2.14e-07 K⁻¹ at 633 nm, dn/dT = -1.46e-06 K⁻¹ at 1310 nm, dn/dT = -1.54e-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-ZLAF71 (CDGM), H-ZLAF71: n and k versus wavelength
λ (µm)nk
0.3651.9237324.536650e-06
0.3666981.9223783.929964e-06
0.3684031.9210473.320457e-06
0.371.9198262.749900e-06
0.3701171.9197382.735165e-06
0.3718381.9184512.518234e-06
0.3735681.9171852.300295e-06
0.3753061.9159412.081341e-06
0.3770511.9147161.861369e-06
0.3788051.9135111.640374e-06
0.381.9127051.489800e-06
0.3805671.9123261.459028e-06
0.3823371.9111591.362960e-06
0.3841161.9100111.266446e-06
0.3859021.9088811.169483e-06
0.3876971.9077691.072069e-06
0.38951.9066739.742015e-07
0.391.9063749.470900e-07
0.3913121.9055959.098004e-07
0.3931321.9045338.580743e-07
0.3949611.9034878.061077e-07
0.3967981.9024567.538993e-07
0.3986441.9014417.014481e-07
0.41.9007086.629000e-07
0.4004981.9004416.558148e-07
0.4023611.8994566.293009e-07
0.4042321.8984856.026636e-07
0.4061121.8975285.759025e-07
0.4080011.8965865.490169e-07
0.4098991.8956565.220062e-07
0.4118061.894744.948699e-07
0.4137211.8938374.676074e-07
0.4156451.8929464.402181e-07
0.4175791.8920684.127014e-07
0.4195211.8912023.850567e-07
0.421.8909913.782400e-07
0.4214721.8903483.699335e-07
0.4234331.8895063.588738e-07
0.4254021.8886763.477628e-07
0.4273811.8878563.366000e-07
0.4293691.8870483.253853e-07
0.4313661.8862513.141185e-07
0.4333721.8854643.027992e-07
0.4353881.8846882.914273e-07
0.4374131.8839222.800025e-07
0.4394481.8831662.685246e-07
0.441.8829642.654100e-07
0.4414921.8824212.599055e-07
0.4435451.8816842.523290e-07
0.4456091.8809582.447173e-07
0.4476811.8802412.370702e-07
0.4497641.8795332.293875e-07
0.4518561.8788342.216691e-07
0.4539571.8781442.139147e-07
0.4560691.8774632.061243e-07
0.458191.876791.982977e-07
0.461.8762251.916200e-07
0.4603211.8761261.909190e-07
0.4624621.875471.862471e-07
0.4646131.8748221.815535e-07
0.4667751.8741821.768380e-07
0.4689461.8735511.721006e-07
0.4711271.8729271.673412e-07
0.4733181.872311.625596e-07
0.475521.8717021.577558e-07
0.4777321.87111.529297e-07
0.4799541.8705061.480811e-07
0.481.8704941.479800e-07
0.4821861.8699191.441565e-07
0.4844291.8693391.402338e-07
0.4866821.8687661.362929e-07
0.4889461.86821.323337e-07
0.491221.867641.283560e-07
0.4935051.8670871.243599e-07
0.49581.8665411.203451e-07
0.4981071.8660011.163117e-07
0.51.8655641.130000e-07
0.5004231.8654671.125657e-07
0.5027511.864941.101779e-07
0.5050891.8644181.077790e-07
0.5074391.8639031.053690e-07
0.5097991.8633931.029477e-07
0.512171.862891.005152e-07
0.5145531.8623929.807136e-08
0.5169461.86199.561617e-08
0.519351.8614139.314955e-08
0.5217661.8609329.067146e-08
0.5241931.8604568.818184e-08
0.5266311.8599868.568064e-08
0.5290811.8595218.316781e-08
0.5315421.8590618.064329e-08
0.5340141.8586067.810703e-08
0.5364981.8581567.555897e-08
0.5389931.8577117.299906e-08
0.54151.8572717.042724e-08
0.5440191.8568366.784346e-08
0.5465491.8564066.524766e-08
0.5490921.855986.263979e-08
0.551.855836.170800e-08
0.5516461.8555596.141520e-08
0.5542121.8551426.095868e-08
0.5567891.854736.050003e-08
0.5593791.8543236.003925e-08
0.5619811.8539195.957633e-08
0.5645951.853525.911125e-08
0.5672211.8531255.864401e-08
0.5698591.8527355.817460e-08
0.572511.8523485.770301e-08
0.5751731.8519665.722922e-08
0.5778481.8515875.675322e-08
0.5805361.8512135.627502e-08
0.5832361.8508425.579459e-08
0.5859491.8504765.531192e-08
0.5886751.8501135.482701e-08
0.5914131.8497535.433984e-08
0.5941641.8493985.385041e-08
0.5969271.8490465.335870e-08
0.5997041.8486985.286471e-08
0.61.8486615.281200e-08
0.6024931.8483535.303145e-08
0.6052961.8480115.327812e-08
0.6081111.8476745.352593e-08
0.610941.8473395.377490e-08
0.6137811.8470085.402502e-08
0.6166361.846685.427631e-08
0.6195041.8463565.452877e-08
0.6223861.8460345.478240e-08
0.6252811.8457165.503721e-08
0.6281891.8454015.529321e-08
0.6311111.8450895.555039e-08
0.6340471.844785.580878e-08
0.6369961.8444755.606836e-08
0.6399591.8441725.632915e-08
0.6429351.8438725.659116e-08
0.6459261.8435755.685438e-08
0.648931.843285.711883e-08
0.651.8431775.721300e-08
0.6519491.8429895.694597e-08
0.6549811.84275.653041e-08
0.6580281.8424145.611291e-08
0.6610881.8421315.569347e-08
0.6641631.8418515.527208e-08
0.6672521.8415735.484873e-08
0.6703561.8412985.442341e-08
0.6734741.8410255.399612e-08
0.6766071.8407555.356683e-08
0.6797541.8404875.313555e-08
0.6829151.8402225.270226e-08
0.6860921.8399595.226696e-08
0.6892831.8396995.182963e-08
0.6924891.8394415.139027e-08
0.695711.8391855.094887e-08
0.6989461.8389315.050541e-08
0.71.838855.036100e-08
0.7021971.838685.037798e-08
0.7054631.8384315.040323e-08
0.7087451.8381855.042860e-08
0.7120411.837945.045408e-08
0.7153531.8376985.047968e-08
0.7186811.8374585.050540e-08
0.7220231.837225.053124e-08
0.7253821.8369845.055720e-08
0.7287561.836755.058328e-08
0.7321461.8365185.060948e-08
0.7355511.8362885.063581e-08
0.7389721.836065.066226e-08
0.7424091.8358345.068883e-08
0.7458631.835615.071552e-08
0.7493321.8353885.074234e-08
0.7528171.8351675.076928e-08
0.7563191.8349495.079635e-08
0.7598371.8347325.082354e-08
0.7633711.8345175.085086e-08
0.7669221.8343045.087831e-08
0.7704891.8340925.090588e-08
0.7740731.8338835.093358e-08
0.7776731.8336755.096141e-08
0.781291.8334685.098937e-08
0.7849241.8332645.101747e-08
0.7885751.833065.104569e-08
0.7922431.8328595.107404e-08
0.7959281.8326595.110253e-08
0.799631.8324615.113114e-08
0.81.8324415.113400e-08
0.803351.8322644.861550e-08
0.8070861.8320694.580614e-08
0.810841.8318754.298371e-08
0.8146121.8316824.014815e-08
0.8184011.8314923.729941e-08
0.8222081.8313023.443742e-08
0.8260321.8311143.156211e-08
0.8298741.8309272.867343e-08
0.8337341.8307422.577131e-08
0.8376121.8305582.285570e-08
0.8415081.8303751.992652e-08
0.8454221.8301941.698372e-08
0.8493551.8300141.402723e-08
0.851.8299851.354200e-08
0.8533051.8298351.359462e-08
0.8572741.8296581.365781e-08
0.8612621.8294821.372129e-08
0.8652681.8293071.378506e-08
0.8692921.8291331.384913e-08
0.8733361.828961.391350e-08
0.8773981.8287891.397817e-08
0.8814791.8286181.404315e-08
0.8855791.8284491.410842e-08
0.8896981.8282811.417399e-08
0.8938361.8281141.423988e-08
0.8979941.8279481.430606e-08
0.91.8278681.433800e-08
0.9021711.8277831.437260e-08
0.9063671.8276191.443949e-08
0.9105831.8274561.450669e-08
0.9148181.8272941.457420e-08
0.9190731.8271341.464203e-08
0.9233481.8269741.471017e-08
0.9276431.8268151.477863e-08
0.9319581.8266571.484741e-08
0.9362931.82651.491651e-08
0.9406481.8263441.498593e-08
0.9450231.8261881.505567e-08
0.9494191.8260341.512573e-08
0.951.8260141.513500e-08
0.9538351.8258811.519605e-08
0.9582711.8257281.526668e-08
0.9627291.8255761.533764e-08
0.9672071.8254251.540893e-08
0.9717051.8252751.548055e-08
0.9762251.8251251.555250e-08
0.9807661.8249771.562479e-08
0.9853281.8248291.569742e-08
0.9899111.8246821.577038e-08
0.9945151.8245351.584368e-08
0.9991411.824391.591732e-08
11.8243631.593100e-08
1.003791.8242451.599136e-08
1.008461.82411.606575e-08
1.013151.8239571.614049e-08
1.017861.8238131.621558e-08
1.022591.8236711.629101e-08
1.027351.8235291.636680e-08
1.032131.8233881.644293e-08
1.036931.8232481.651943e-08
1.041751.8231081.659628e-08
1.04661.8229681.667348e-08
1.051471.822831.675105e-08
1.056361.8226911.682897e-08
1.061.8225891.688700e-08
1.061271.8225541.690726e-08
1.066211.8224161.698593e-08
1.071171.822281.706496e-08
1.076151.8221431.714435e-08
1.081151.8220081.722412e-08
1.086181.8218721.730426e-08
1.091241.8217371.738477e-08
1.096311.8216031.746565e-08
1.101411.8214691.754691e-08
1.106531.8213361.762855e-08
1.111681.8212021.771057e-08
1.116851.821071.779297e-08
1.122051.8209371.787576e-08
1.127271.8208051.795892e-08
1.132511.8206731.804248e-08
1.137781.8205421.812642e-08
1.143071.8204111.821076e-08
1.148391.820281.829549e-08
1.153731.820151.838061e-08
1.159091.820021.846612e-08
1.164481.819891.855204e-08
1.16991.819761.863835e-08
1.175341.8196311.872507e-08
1.180811.8195021.881219e-08
1.18631.8193731.889971e-08
1.191821.8192441.898764e-08
1.197361.8191161.907598e-08
1.21.8190551.911800e-08
1.202931.8189871.949243e-08
1.208531.8188592.020680e-08
1.214151.8187312.092450e-08
1.21981.8186032.164553e-08
1.225471.8184762.236991e-08
1.231171.8183482.309767e-08
1.23691.8182212.382881e-08
1.242651.8180932.456335e-08
1.248431.8179662.530131e-08
1.254241.8178392.604270e-08
1.260071.8177122.678754e-08
1.265931.8175852.753585e-08
1.271821.8174582.828763e-08
1.277741.8173312.904291e-08
1.283681.8172042.980171e-08
1.289651.8170773.056403e-08
1.295651.816953.132990e-08
1.301671.8168233.209933e-08
1.307731.8166963.287234e-08
1.313811.8165693.364895e-08
1.319921.8164413.442917e-08
1.326061.8163143.521302e-08
1.332231.8161873.600051e-08
1.338431.816063.679167e-08
1.344651.8159323.758650e-08
1.350911.8158043.838504e-08
1.357191.8156773.918728e-08
1.36351.8155493.999326e-08
1.369851.8154214.080299e-08
1.376221.8152934.161648e-08
1.382621.8151644.243376e-08
1.389051.8150364.325484e-08
1.395511.8149074.407974e-08
1.41.8148184.465300e-08
1.4021.8147784.484478e-08
1.408521.8146494.546981e-08
1.415071.8145194.609774e-08
1.421661.8143894.672858e-08
1.428271.8142594.736237e-08
1.434911.8141294.799910e-08
1.441591.8139994.863879e-08
1.448291.8138684.928146e-08
1.455031.8137374.992712e-08
1.46181.8136055.057578e-08
1.468591.8134735.122746e-08
1.475431.8133415.188217e-08
1.482291.8132085.253992e-08
1.489181.8130755.320074e-08
1.496111.8129425.386463e-08
1.503071.8128085.453160e-08
1.510061.8126745.520168e-08
1.517081.812545.587487e-08
1.524141.8124055.655120e-08
1.531231.8122695.723067e-08
1.538351.8121335.791330e-08
1.545511.8119975.859911e-08
1.55271.811865.928811e-08
1.559921.8117225.998031e-08
1.567171.8115846.067573e-08
1.574461.8114466.137439e-08
1.581791.8113076.207630e-08
1.589141.8111676.278147e-08
1.596541.8110276.348992e-08
1.61.8109616.382200e-08
1.603961.8108866.627020e-08
1.611421.8107447.088112e-08
1.618921.8106027.551348e-08
1.626451.810468.016740e-08
1.634011.8103168.484296e-08
1.641611.8101728.954027e-08
1.649251.8100289.425943e-08
1.656921.8098829.900053e-08
1.664631.8097361.037637e-07
1.672371.809591.085490e-07
1.680151.8094421.133566e-07
1.687961.8092941.181865e-07
1.695811.8091451.230389e-07
1.70371.8089951.279139e-07
1.711631.8088441.328115e-07
1.719591.8086931.377320e-07
1.727591.808541.426753e-07
1.735621.8083871.476416e-07
1.743691.8082331.526310e-07
1.751811.8080791.576436e-07
1.759951.8079231.626795e-07
1.768141.8077661.677389e-07
1.776361.8076091.728218e-07
1.784631.807451.779283e-07
1.792931.8072911.830586e-07
1.81.8071551.874300e-07
1.801271.807131.896250e-07
1.809641.8069692.041462e-07
1.818061.8068062.187350e-07
1.826521.8066432.333917e-07
1.835011.8064792.481165e-07
1.843551.8063132.629098e-07
1.852121.8061462.777719e-07
1.860741.8059792.927031e-07
1.869391.805813.077038e-07
1.878091.805643.227743e-07
1.886821.8054693.379149e-07
1.89561.8052973.531259e-07
1.904421.8051243.684076e-07
1.913281.8049493.837604e-07
1.922181.8047733.991847e-07
1.931121.8045964.146806e-07
1.94011.8044184.302487e-07
1.949121.8042384.458891e-07
1.958191.8040574.616024e-07
1.96731.8038754.773887e-07
1.976451.8036924.932484e-07
1.985641.8035075.091819e-07
1.994881.8033215.251895e-07
21.8032175.340700e-07
2.004161.8031335.572767e-07
2.013481.8029446.093414e-07
2.022841.8027546.616482e-07
2.032251.8025627.141984e-07
2.04171.8023697.669930e-07
2.05121.8021748.200331e-07
2.060741.8019778.733200e-07
2.070331.801789.268547e-07
2.079961.801589.806384e-07
2.089631.8013791.034672e-06
2.099351.8011771.088958e-06
2.109121.8009721.143495e-06
2.118931.8007661.198287e-06
2.128781.8005591.253333e-06
2.138681.800351.308635e-06
2.148631.8001391.364195e-06
2.158621.7999261.420013e-06
2.168671.7997111.476090e-06
2.178751.7994951.532429e-06
2.188891.7992771.589029e-06
2.199071.7990571.645893e-06
2.21.7990371.651100e-06
2.20931.7988351.834487e-06
2.219571.7986122.037205e-06
2.22991.7983862.240866e-06
2.240271.7981592.445474e-06
2.250691.7979292.651034e-06
2.261161.7976982.857550e-06
2.271671.7974643.065027e-06
2.282241.7972293.273468e-06
2.292861.7969913.482879e-06
2.303521.7967513.693264e-06
2.314241.7965093.904628e-06
2.3251.7962654.116975e-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
—