Optical constants

Refractive index of D-ZLAF67 (CDGM)

D-ZLAF67: 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
1.88385
Extinction coefficient k
4.22739e-08
Permittivity ε1
3.54887
Permittivity ε2
1.59275e-07
Absorption coefficient α
0.00904067 cm⁻¹
Penetration depth δ = λ/(2πk)
2.21222e+09 nm
Abbe number Vd
37.199
Chromatic dispersion dn/dλ
-0.120769 µm⁻¹
Group index ng
1.95481
Group velocity dispersion
232.783 fs²/mm
Dispersion parameter D
-1269.95 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

# D-ZLAF67 (CDGM): D-ZLAF67
cdgm_d_zlaf67 = ls.fetch_refractiveindex("specs", "CDGM-optical", "D-ZLAF67", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_d_zlaf67.range_nm)  # (365, 2325) nm
eps = cdgm_d_zlaf67.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=2.10977576λ2λ2−0.0111387884+0.324313076λ2λ2−0.0453343979+1.37618163λ2λ2−104.419881

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C22.10977576
C30.0111387884
C40.324313076
C50.0453343979
C61.37618163
C7104.419881

Comments and conditions

anneal rate:4°C/h

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 3.22e-06 1.64e-08 -4.25e-11 8.62e-07 7.87e-10 0.235
nd
1.883850
Vd
37.198899
glass code
884372
density
value: 5500
thermal expansion
value: 6.7e-06, temperature range: 243 343; value: 8.5e-06, temperature range: 293 573
dPgF
-0.0047
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 3.85e-06 K⁻¹ at 633 nm, dn/dT = 2.46e-06 K⁻¹ at 1310 nm, dn/dT = 2.35e-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
D-ZLAF67 (CDGM), D-ZLAF67: n and k versus wavelength
λ (µm)nk
0.3651.9473322.804600e-06
0.3666981.9462312.483253e-06
0.3684031.9451462.160411e-06
0.371.9441491.858200e-06
0.3701171.9440771.848782e-06
0.3718381.9430221.710130e-06
0.3735681.9419831.570832e-06
0.3753061.9409581.430887e-06
0.3770511.9399481.290291e-06
0.3788051.9389521.149040e-06
0.381.9382841.052800e-06
0.3805671.9379691.030839e-06
0.3823371.9370019.622798e-07
0.3841161.9360458.934015e-07
0.3859021.9351028.242028e-07
0.3876971.9341737.546823e-07
0.38951.9332556.848384e-07
0.391.9330046.654900e-07
0.3913121.932356.377763e-07
0.3931321.9314585.993335e-07
0.3949611.9305775.607119e-07
0.3967981.9297075.219107e-07
0.3986441.9288494.829290e-07
0.41.9282294.542800e-07
0.4004981.9280034.494585e-07
0.4023611.9271674.314159e-07
0.4042321.9263424.132894e-07
0.4061121.9255283.950785e-07
0.4080011.9247253.767830e-07
0.4098991.9239323.584024e-07
0.4118061.9231483.399362e-07
0.4137211.9223753.213842e-07
0.4156451.9216123.027458e-07
0.4175791.9208582.840208e-07
0.4195211.9201132.652087e-07
0.421.9199322.605700e-07
0.4214721.9193782.551523e-07
0.4234331.9186522.479390e-07
0.4254021.9179352.406921e-07
0.4273811.9172272.334115e-07
0.4293691.9165282.260971e-07
0.4313661.9158372.187486e-07
0.4333721.9151552.113660e-07
0.4353881.9144812.039490e-07
0.4374131.9138151.964975e-07
0.4394481.9131571.890114e-07
0.441.912981.869800e-07
0.4414921.9125071.827608e-07
0.4435451.9118641.769534e-07
0.4456091.911231.711191e-07
0.4476811.9106031.652575e-07
0.4497641.9099831.593688e-07
0.4518561.9093711.534526e-07
0.4539571.9087661.475089e-07
0.4560691.9081681.415376e-07
0.458191.9075771.355385e-07
0.461.907081.304200e-07
0.4603211.9069921.299415e-07
0.4624621.9064151.267523e-07
0.4646131.9058441.235483e-07
0.4667751.905281.203294e-07
0.4689461.9047231.170955e-07
0.4711271.9041711.138465e-07
0.4733181.9036261.105825e-07
0.475521.9030881.073033e-07
0.4777321.9025551.040088e-07
0.4799541.9020281.006990e-07
0.481.9020171.006300e-07
0.4821861.9015089.708765e-08
0.4844291.9009939.345341e-08
0.4866821.9004848.980226e-08
0.4889461.899988.613413e-08
0.491221.8994828.244893e-08
0.4935051.898997.874660e-08
0.49581.8985037.502705e-08
0.4981071.8980227.129019e-08
0.51.8976326.822200e-08
0.5004231.8975466.797938e-08
0.5027511.8970756.664550e-08
0.5050891.8966096.530543e-08
0.5074391.8961486.395911e-08
0.5097991.8956936.260654e-08
0.512171.8952426.124767e-08
0.5145531.8947965.988249e-08
0.5169461.8943555.851095e-08
0.519351.8939185.713304e-08
0.5217661.8934875.574871e-08
0.5241931.893065.435795e-08
0.5266311.8926375.296072e-08
0.5290811.8922195.155699e-08
0.5315421.8918065.014673e-08
0.5340141.8913964.872991e-08
0.5364981.8909914.730650e-08
0.5389931.8905914.587647e-08
0.54151.8901944.443979e-08
0.5440191.8898024.299642e-08
0.5465491.8894144.154634e-08
0.5490921.8890294.008952e-08
0.551.8888943.956900e-08
0.5516461.8886493.968739e-08
0.5542121.8882733.987198e-08
0.5567891.8879014.005743e-08
0.5593791.8875324.024374e-08
0.5619811.8871674.043092e-08
0.5645951.8868064.061897e-08
0.5672211.8864494.080789e-08
0.5698591.8860954.099769e-08
0.572511.8857454.118838e-08
0.5751731.8853984.137995e-08
0.5778481.8850554.157241e-08
0.5805361.8847154.176577e-08
0.5832361.8843794.196002e-08
0.5859491.8840464.215518e-08
0.5886751.8837164.235125e-08
0.5914131.883394.254823e-08
0.5941641.8830664.274613e-08
0.5969271.8827464.294495e-08
0.5997041.882434.314469e-08
0.61.8823964.316600e-08
0.6024931.8821164.308527e-08
0.6052961.8818054.299453e-08
0.6081111.8814984.290337e-08
0.610941.8811934.281178e-08
0.6137811.8808914.271976e-08
0.6166361.8805934.262732e-08
0.6195041.8802974.253445e-08
0.6223861.8800044.244115e-08
0.6252811.8797144.234741e-08
0.6281891.8794264.225324e-08
0.6311111.8791414.215862e-08
0.6340471.8788594.206357e-08
0.6369961.878584.196808e-08
0.6399591.8783034.187214e-08
0.6429351.8780294.177576e-08
0.6459261.8777584.167892e-08
0.648931.8774894.158164e-08
0.651.8773944.154700e-08
0.6519491.8772224.123430e-08
0.6549811.8769584.074765e-08
0.6580281.8766974.025875e-08
0.6610881.8764383.976756e-08
0.6641631.8761813.927410e-08
0.6672521.8759263.877834e-08
0.6703561.8756743.828027e-08
0.6734741.8754243.777988e-08
0.6766071.8751773.727717e-08
0.6797541.8749323.677212e-08
0.6829151.8746883.626472e-08
0.6860921.8744483.575496e-08
0.6892831.8742093.524283e-08
0.6924891.8739723.472832e-08
0.695711.8737383.421142e-08
0.6989461.8735053.369211e-08
0.71.873433.352300e-08
0.7021971.8732753.334706e-08
0.7054631.8730463.308554e-08
0.7087451.872823.282281e-08
0.7120411.8725953.255885e-08
0.7153531.8723733.229366e-08
0.7186811.8721523.202724e-08
0.7220231.8719343.175958e-08
0.7253821.8717173.149068e-08
0.7287561.8715023.122052e-08
0.7321461.8712893.094911e-08
0.7355511.8710773.067643e-08
0.7389721.8708683.040249e-08
0.7424091.870663.012727e-08
0.7458631.8704542.985078e-08
0.7493321.8702492.957299e-08
0.7528171.8700472.929392e-08
0.7563191.8698462.901355e-08
0.7598371.8696462.873187e-08
0.7633711.8694492.844888e-08
0.7669221.8692522.816458e-08
0.7704891.8690582.787895e-08
0.7740731.8688652.759200e-08
0.7776731.8686732.730371e-08
0.781291.8684832.701408e-08
0.7849241.8682952.672310e-08
0.7885751.8681082.643077e-08
0.7922431.8679222.613708e-08
0.7959281.8677382.584202e-08
0.799631.8675552.554559e-08
0.81.8675372.551600e-08
0.803351.8673742.471379e-08
0.8070861.8671942.381894e-08
0.810841.8670162.291993e-08
0.8146121.8668392.201673e-08
0.8184011.8666632.110933e-08
0.8222081.8664882.019772e-08
0.8260321.8663151.928186e-08
0.8298741.8661431.836174e-08
0.8337341.8659721.743734e-08
0.8376121.8658031.650865e-08
0.8415081.8656341.557563e-08
0.8454221.8654671.463827e-08
0.8493551.8653011.369656e-08
0.851.8652741.354200e-08
0.8533051.8651371.359462e-08
0.8572741.8649731.365781e-08
0.8612621.8648111.372129e-08
0.8652681.8646491.378506e-08
0.8692921.8644891.384913e-08
0.8733361.864331.391350e-08
0.8773981.8641721.397817e-08
0.8814791.8640151.404315e-08
0.8855791.8638591.410842e-08
0.8896981.8637041.417399e-08
0.8938361.863551.423988e-08
0.8979941.8633971.430606e-08
0.91.8633241.433800e-08
0.9021711.8632451.437260e-08
0.9063671.8630941.443949e-08
0.9105831.8629441.450669e-08
0.9148181.8627951.457420e-08
0.9190731.8626461.464203e-08
0.9233481.8624991.471017e-08
0.9276431.8623531.477863e-08
0.9319581.8622071.484741e-08
0.9362931.8620621.491651e-08
0.9406481.8619181.498593e-08
0.9450231.8617751.505567e-08
0.9494191.8616331.512573e-08
0.951.8616141.513500e-08
0.9538351.8614921.519605e-08
0.9582711.8613511.526668e-08
0.9627291.8612111.533764e-08
0.9672071.8610721.540893e-08
0.9717051.8609341.548055e-08
0.9762251.8607961.555250e-08
0.9807661.8606591.562479e-08
0.9853281.8605231.569742e-08
0.9899111.8603871.577038e-08
0.9945151.8602521.584368e-08
0.9991411.8601181.591732e-08
11.8600941.593100e-08
1.003791.8599851.599136e-08
1.008461.8598521.606575e-08
1.013151.859721.614049e-08
1.017861.8595881.621558e-08
1.022591.8594571.629101e-08
1.027351.8593271.636680e-08
1.032131.8591971.644293e-08
1.036931.8590671.651943e-08
1.041751.8589391.659628e-08
1.04661.858811.667348e-08
1.051471.8586831.675105e-08
1.056361.8585561.682897e-08
1.061.8584621.688700e-08
1.061271.8584291.690726e-08
1.066211.8583031.698593e-08
1.071171.8581771.706496e-08
1.076151.8580521.714435e-08
1.081151.8579271.722412e-08
1.086181.8578031.730426e-08
1.091241.8576791.738477e-08
1.096311.8575551.746565e-08
1.101411.8574321.754691e-08
1.106531.857311.762855e-08
1.111681.8571871.771057e-08
1.116851.8570651.779297e-08
1.122051.8569441.787576e-08
1.127271.8568231.795892e-08
1.132511.8567021.804248e-08
1.137781.8565811.812642e-08
1.143071.8564611.821076e-08
1.148391.8563411.829549e-08
1.153731.8562221.838061e-08
1.159091.8561021.846612e-08
1.164481.8559831.855204e-08
1.16991.8558641.863835e-08
1.175341.8557461.872507e-08
1.180811.8556271.881219e-08
1.18631.8555091.889971e-08
1.191821.8553911.898764e-08
1.197361.8552741.907598e-08
1.21.8552181.911800e-08
1.202931.8551561.916472e-08
1.208531.8550391.925385e-08
1.214151.8549221.934340e-08
1.21981.8548051.943336e-08
1.225471.8546881.952374e-08
1.231171.8545711.961454e-08
1.23691.8544551.970577e-08
1.242651.8543381.979742e-08
1.248431.8542221.988949e-08
1.254241.8541061.998199e-08
1.260071.853992.007493e-08
1.265931.8538732.016829e-08
1.271821.8537572.026209e-08
1.277741.8536412.035633e-08
1.283681.8535252.045101e-08
1.289651.853412.054612e-08
1.295651.8532942.064168e-08
1.301671.8531782.073768e-08
1.307731.8530622.083413e-08
1.313811.8529462.093103e-08
1.319921.852832.102837e-08
1.326061.8527142.112617e-08
1.332231.8525982.122443e-08
1.338431.8524822.132314e-08
1.344651.8523662.142231e-08
1.350911.8522492.152195e-08
1.357191.8521332.162204e-08
1.36351.8520162.172260e-08
1.369851.85192.182363e-08
1.376221.8517832.192513e-08
1.382621.8516662.202711e-08
1.389051.8515492.212955e-08
1.395511.8514322.223247e-08
1.41.8513512.230400e-08
1.4021.8513152.233588e-08
1.408521.8511972.243976e-08
1.415071.851082.254412e-08
1.421661.8509622.264897e-08
1.428271.8508442.275431e-08
1.434911.8507252.286014e-08
1.441591.8506072.296646e-08
1.448291.8504882.307328e-08
1.455031.8503692.318059e-08
1.46181.850252.328840e-08
1.468591.850132.339671e-08
1.475431.850012.350553e-08
1.482291.849892.361485e-08
1.489181.8497692.372468e-08
1.496111.8496482.383503e-08
1.503071.8495272.394588e-08
1.510061.8494052.405725e-08
1.517081.8492832.416914e-08
1.524141.8491612.428155e-08
1.531231.8490382.439448e-08
1.538351.8489152.450794e-08
1.545511.8487922.462193e-08
1.55271.8486682.473644e-08
1.559921.8485432.485149e-08
1.567171.8484192.496707e-08
1.574461.8482932.508319e-08
1.581791.8481682.519985e-08
1.589141.8480412.531706e-08
1.596541.8479142.543481e-08
1.61.8478552.549000e-08
1.603961.8477872.697804e-08
1.611421.8476592.978059e-08
1.618921.8475313.259618e-08
1.626451.8474023.542487e-08
1.634011.8472733.826672e-08
1.641611.8471434.112178e-08
1.649251.8470124.399013e-08
1.656921.8468814.687181e-08
1.664631.8467494.976690e-08
1.672371.8466175.267546e-08
1.680151.8464845.559754e-08
1.687961.846355.853322e-08
1.695811.8462166.148255e-08
1.70371.8460816.444560e-08
1.711631.8459456.742243e-08
1.719591.8458097.041311e-08
1.727591.8456717.341769e-08
1.735621.8455337.643626e-08
1.743691.8453957.946886e-08
1.751811.8452558.251557e-08
1.759951.8451158.557645e-08
1.768141.8449748.865157e-08
1.776361.8448339.174099e-08
1.784631.844699.484478e-08
1.792931.8445479.796301e-08
1.81.8444241.006200e-07
1.801271.8444021.023279e-07
1.809641.8442571.136264e-07
1.818061.8441111.249775e-07
1.826521.8439641.363814e-07
1.835011.8438171.478383e-07
1.843551.8436681.593485e-07
1.852121.8435181.709123e-07
1.860741.8433681.825298e-07
1.869391.8432161.942014e-07
1.878091.8430642.059273e-07
1.886821.842912.177077e-07
1.89561.8427562.295429e-07
1.904421.84262.414331e-07
1.913281.8424432.533787e-07
1.922181.8422862.653798e-07
1.931121.8421272.774368e-07
1.94011.8419672.895498e-07
1.949121.8418063.017192e-07
1.958191.8416443.139451e-07
1.96731.8414813.262280e-07
1.976451.8413163.385680e-07
1.985641.8411513.509653e-07
1.994881.8409843.634203e-07
21.8408913.703300e-07
2.004161.8408163.843673e-07
2.013481.8406474.158602e-07
2.022841.8404764.474996e-07
2.032251.8403054.792862e-07
2.04171.8401325.112206e-07
2.05121.8399575.433036e-07
2.060741.8397825.755358e-07
2.070331.8396056.079179e-07
2.079961.8394266.404507e-07
2.089631.8392466.731347e-07
2.099351.8390657.059708e-07
2.109121.8388837.389597e-07
2.118931.8386997.721019e-07
2.128781.8385138.053983e-07
2.138681.8383268.388496e-07
2.148631.8381388.724565e-07
2.158621.8379489.062197e-07
2.168671.8377569.401399e-07
2.178751.8375639.742180e-07
2.188891.8373681.008454e-06
2.199071.8371721.042850e-06
2.21.8371541.046000e-06
2.20931.8369741.186638e-06
2.219571.8367741.342101e-06
2.22991.8365731.498288e-06
2.240271.836371.655200e-06
2.250691.8361651.812843e-06
2.261161.8359591.971218e-06
2.271671.835752.130331e-06
2.282241.835542.290183e-06
2.292861.8353282.450779e-06
2.303521.8351152.612122e-06
2.314241.8348992.774215e-06
2.3251.8346822.937063e-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
—