Optical constants

Refractive index of H-ZLAF89L (CDGM)

H-ZLAF89L: 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
1.95374
Extinction coefficient k
2.20158e-08
Permittivity ε1
3.81712
Permittivity ε2
8.60264e-08
Absorption coefficient α
0.00470828 cm⁻¹
Penetration depth δ = λ/(2πk)
4.24784e+09 nm
Abbe number Vd
32.309
Chromatic dispersion dn/dλ
-0.149202 µm⁻¹
Group index ng
2.04142
Group velocity dispersion
295.347 fs²/mm
Dispersion parameter D
-1611.28 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-ZLAF89L (CDGM): H-ZLAF89L
cdgm_h_zlaf89l = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZLAF89L", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zlaf89l.range_nm)  # (365, 2325) nm
eps = cdgm_h_zlaf89l.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=2.33250033λ2λ2−0.0127519393+0.338027439λ2λ2−0.0535631807+1.63568735λ2λ2−114.949418

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C22.33250033
C30.0127519393
C40.338027439
C50.0535631807
C61.63568735
C7114.949418

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -4.45e-07 1.4e-08 -3.45e-11 9.44e-07 1.04e-09 0.253
nd
1.953750
Vd
32.308790
glass code
954323
density
value: 5100
thermal expansion
value: 7.2e-06, temperature range: 243 343; value: 8.8e-06, temperature range: 293 573
dPgF
-0.0001
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.69e-06 K⁻¹ at 633 nm, dn/dT = 8.82e-08 K⁻¹ at 1310 nm, dn/dT = -2.87e-08 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-ZLAF89L (CDGM), H-ZLAF89L: n and k versus wavelength
λ (µm)nk
0.3652.0353884.916100e-06
0.3666982.0339074.355236e-06
0.3684032.032453.791763e-06
0.372.0311143.264300e-06
0.3701172.0310173.248846e-06
0.3718382.0296063.021328e-06
0.3735682.0282182.792751e-06
0.3753062.0268522.563112e-06
0.3770512.0255072.332404e-06
0.3788052.0241832.100623e-06
0.382.0232961.942700e-06
0.3805672.022881.905402e-06
0.3823372.0215961.788962e-06
0.3841162.0203321.671981e-06
0.3859022.0190871.554455e-06
0.3876972.0178611.436382e-06
0.38952.0166531.317761e-06
0.392.0163231.284900e-06
0.3913122.0154631.234237e-06
0.3931322.0142911.163960e-06
0.3949612.0131351.093357e-06
0.3967982.0119971.022425e-06
0.3986442.0108759.511628e-07
0.42.0100638.987900e-07
0.4004982.0097698.889659e-07
0.4023612.0086788.522026e-07
0.4042322.0076038.152683e-07
0.4061122.0065447.781622e-07
0.4080012.0054997.408835e-07
0.4098992.0044697.034314e-07
0.4118062.0034536.658052e-07
0.4137212.0024516.280039e-07
0.4156452.0014625.900267e-07
0.4175792.0004885.518730e-07
0.4195211.9995265.135418e-07
0.421.9992915.040900e-07
0.4214721.9985774.901589e-07
0.4234331.9976414.716105e-07
0.4254021.9967184.529759e-07
0.4273811.9958074.342545e-07
0.4293691.9949084.154461e-07
0.4313661.994023.965502e-07
0.4333721.9931453.775664e-07
0.4353881.992283.584943e-07
0.4374131.9914273.393335e-07
0.4394481.9905853.200835e-07
0.441.9903593.148600e-07
0.4414921.9897543.071094e-07
0.4435451.9889342.964413e-07
0.4456091.9881232.857237e-07
0.4476811.9873232.749561e-07
0.4497641.9865342.641385e-07
0.4518561.9857542.532706e-07
0.4539571.9849842.423521e-07
0.4560691.9842232.313828e-07
0.458191.9834722.203625e-07
0.461.9828412.109600e-07
0.4603211.982732.098845e-07
0.4624621.9819982.027172e-07
0.4646131.9812741.955165e-07
0.4667751.9805591.882823e-07
0.4689461.9798531.810145e-07
0.4711271.9791551.737128e-07
0.4733181.9784661.663772e-07
0.475521.9777851.590075e-07
0.4777321.9771121.516035e-07
0.4799541.9764481.441651e-07
0.481.9764341.440100e-07
0.4821861.9757911.383888e-07
0.4844291.9751421.326217e-07
0.4866821.97451.268279e-07
0.4889461.9738661.210071e-07
0.491221.973241.151592e-07
0.4935051.9726211.092841e-07
0.49581.9720091.033817e-07
0.4981071.9714049.745179e-08
0.51.9709159.258300e-08
0.5004231.9708069.205938e-08
0.5027511.9702158.918066e-08
0.5050891.9696318.628854e-08
0.5074391.9690538.338297e-08
0.5097991.9684828.046389e-08
0.512171.9679187.753123e-08
0.5145531.967367.458493e-08
0.5169461.9668087.162493e-08
0.519351.9662636.865115e-08
0.5217661.9657236.566355e-08
0.5241931.965196.266205e-08
0.5266311.9646625.964659e-08
0.5290811.9641415.661710e-08
0.5315421.9636255.357352e-08
0.5340141.9631155.051578e-08
0.5364981.962614.744383e-08
0.5389931.9621114.435758e-08
0.54151.9616174.125698e-08
0.5440191.9611293.814195e-08
0.5465491.9606463.501244e-08
0.5490921.9601693.186837e-08
0.551.963.074500e-08
0.5516461.9596963.036294e-08
0.5542121.9592292.976724e-08
0.5567891.9587662.916877e-08
0.5593791.9583092.856752e-08
0.5619811.9578562.796348e-08
0.5645951.9574082.735662e-08
0.5672211.9569652.674694e-08
0.5698591.9565272.613442e-08
0.572511.9560932.551906e-08
0.5751731.9556642.490083e-08
0.5778481.9552392.427973e-08
0.5805361.9548192.365574e-08
0.5832361.9544032.302885e-08
0.5859491.9539922.239904e-08
0.5886751.9535852.176630e-08
0.5914131.9531812.113062e-08
0.5941641.9527822.049198e-08
0.5969271.9523881.985037e-08
0.5997041.9519971.920577e-08
0.61.9519551.913700e-08
0.6024931.951611.921653e-08
0.6052961.9512271.930593e-08
0.6081111.9508481.939574e-08
0.610941.9504731.948597e-08
0.6137811.9501011.957662e-08
0.6166361.9497341.966769e-08
0.6195041.949371.975919e-08
0.6223861.9490091.985111e-08
0.6252811.9486531.994346e-08
0.6281891.9482992.003623e-08
0.6311111.947952.012944e-08
0.6340471.9476032.022308e-08
0.6369961.947262.031716e-08
0.6399591.9469212.041168e-08
0.6429351.9465852.050663e-08
0.6459261.9462522.060203e-08
0.648931.9459222.069787e-08
0.651.9458062.073200e-08
0.6519491.9455952.079412e-08
0.6549811.9452722.089079e-08
0.6580281.9449522.098792e-08
0.6610881.9446352.108549e-08
0.6641631.944322.118352e-08
0.6672521.9440092.128201e-08
0.6703561.9437012.138095e-08
0.6734741.9433962.148035e-08
0.6766071.9430932.158022e-08
0.6797541.9427942.168055e-08
0.6829151.9424972.178135e-08
0.6860921.9422032.188261e-08
0.6892831.9419122.198435e-08
0.6924891.9416232.208656e-08
0.695711.9413372.218924e-08
0.6989461.9410542.229241e-08
0.71.9409622.232600e-08
0.7021971.9407732.239609e-08
0.7054631.9404952.250028e-08
0.7087451.9402192.260496e-08
0.7120411.9399462.271012e-08
0.7153531.9396752.281577e-08
0.7186811.9394072.292191e-08
0.7220231.9391412.302855e-08
0.7253821.9388782.313568e-08
0.7287561.9386172.324331e-08
0.7321461.9383582.335144e-08
0.7355511.9381022.346008e-08
0.7389721.9378472.356922e-08
0.7424091.9375952.367886e-08
0.7458631.9373452.378902e-08
0.7493321.9370982.389969e-08
0.7528171.9368522.401087e-08
0.7563191.9366092.412257e-08
0.7598371.9363682.423479e-08
0.7633711.9361282.434754e-08
0.7669221.9358912.446080e-08
0.7704891.9356562.457460e-08
0.7740731.9354222.468892e-08
0.7776731.9351912.480378e-08
0.781291.9349622.491916e-08
0.7849241.9347342.503509e-08
0.7885751.9345092.515156e-08
0.7922431.9342852.526856e-08
0.7959281.9340632.538611e-08
0.799631.9338432.550421e-08
0.81.9338212.551600e-08
0.803351.9336252.471379e-08
0.8070861.9334082.381894e-08
0.810841.9331932.291993e-08
0.8146121.932982.201673e-08
0.8184011.9327682.110933e-08
0.8222081.9325592.019772e-08
0.8260321.932351.928186e-08
0.8298741.9321441.836174e-08
0.8337341.9319391.743734e-08
0.8376121.9317361.650865e-08
0.8415081.9315341.557563e-08
0.8454221.9313331.463827e-08
0.8493551.9311351.369656e-08
0.851.9311021.354200e-08
0.8533051.9309371.359462e-08
0.8572741.9307421.365781e-08
0.8612621.9305471.372129e-08
0.8652681.9303541.378506e-08
0.8692921.9301631.384913e-08
0.8733361.9299731.391350e-08
0.8773981.9297841.397817e-08
0.8814791.9295961.404315e-08
0.8855791.929411.410842e-08
0.8896981.9292261.417399e-08
0.8938361.9290421.423988e-08
0.8979941.928861.430606e-08
0.91.9287731.433800e-08
0.9021711.9286791.437260e-08
0.9063671.9284991.443949e-08
0.9105831.9283211.450669e-08
0.9148181.9281431.457420e-08
0.9190731.9279671.464203e-08
0.9233481.9277921.471017e-08
0.9276431.9276181.477863e-08
0.9319581.9274461.484741e-08
0.9362931.9272741.491651e-08
0.9406481.9271041.498593e-08
0.9450231.9269341.505567e-08
0.9494191.9267661.512573e-08
0.951.9267441.513500e-08
0.9538351.9265981.519605e-08
0.9582711.9264321.526668e-08
0.9627291.9262671.533764e-08
0.9672071.9261031.540893e-08
0.9717051.9259391.548055e-08
0.9762251.9257771.555250e-08
0.9807661.9256161.562479e-08
0.9853281.9254551.569742e-08
0.9899111.9252951.577038e-08
0.9945151.9251371.584368e-08
0.9991411.9249791.591732e-08
11.924951.593100e-08
1.003791.9248221.599136e-08
1.008461.9246661.606575e-08
1.013151.9245111.614049e-08
1.017861.9243561.621558e-08
1.022591.9242031.629101e-08
1.027351.924051.636680e-08
1.032131.9238981.644293e-08
1.036931.9237461.651943e-08
1.041751.9235961.659628e-08
1.04661.9234461.667348e-08
1.051471.9232971.675105e-08
1.056361.9231481.682897e-08
1.061.9230391.688700e-08
1.061271.9230011.690726e-08
1.066211.9228541.698593e-08
1.071171.9227071.706496e-08
1.076151.9225611.714435e-08
1.081151.9224161.722412e-08
1.086181.9222721.730426e-08
1.091241.9221281.738477e-08
1.096311.9219841.746565e-08
1.101411.9218421.754691e-08
1.106531.9216991.762855e-08
1.111681.9215581.771057e-08
1.116851.9214171.779297e-08
1.122051.9212761.787576e-08
1.127271.9211361.795892e-08
1.132511.9209961.804248e-08
1.137781.9208571.812642e-08
1.143071.9207191.821076e-08
1.148391.920581.829549e-08
1.153731.9204421.838061e-08
1.159091.9203051.846612e-08
1.164481.9201681.855204e-08
1.16991.9200321.863835e-08
1.175341.9198951.872507e-08
1.180811.919761.881219e-08
1.18631.9196241.889971e-08
1.191821.9194891.898764e-08
1.197361.9193541.907598e-08
1.21.9192911.911800e-08
1.202931.919221.916472e-08
1.208531.9190861.925385e-08
1.214151.9189521.934340e-08
1.21981.9188181.943336e-08
1.225471.9186851.952374e-08
1.231171.9185521.961454e-08
1.23691.9184191.970577e-08
1.242651.9182871.979742e-08
1.248431.9181551.988949e-08
1.254241.9180221.998199e-08
1.260071.917892.007493e-08
1.265931.9177592.016829e-08
1.271821.9176272.026209e-08
1.277741.9174962.035633e-08
1.283681.9173652.045101e-08
1.289651.9172332.054612e-08
1.295651.9171022.064168e-08
1.301671.9169712.073768e-08
1.307731.9168412.083413e-08
1.313811.916712.093103e-08
1.319921.9165792.102837e-08
1.326061.9164492.112617e-08
1.332231.9163182.122443e-08
1.338431.9161882.132314e-08
1.344651.9160572.142231e-08
1.350911.9159272.152195e-08
1.357191.9157962.162204e-08
1.36351.9156662.172260e-08
1.369851.9155352.182363e-08
1.376221.9154052.192513e-08
1.382621.9152742.202711e-08
1.389051.9151432.212955e-08
1.395511.9150122.223247e-08
1.41.9149222.230400e-08
1.4021.9148822.233588e-08
1.408521.9147512.243976e-08
1.415071.914622.254412e-08
1.421661.9144882.264897e-08
1.428271.9143572.275431e-08
1.434911.9142262.286014e-08
1.441591.9140942.296646e-08
1.448291.9139622.307328e-08
1.455031.913832.318059e-08
1.46181.9136982.328840e-08
1.468591.9135652.339671e-08
1.475431.9134332.350553e-08
1.482291.91332.361485e-08
1.489181.9131672.372468e-08
1.496111.9130332.383503e-08
1.503071.91292.394588e-08
1.510061.9127662.405725e-08
1.517081.9126312.416914e-08
1.524141.9124972.428155e-08
1.531231.9123622.439448e-08
1.538351.9122262.450794e-08
1.545511.9120912.462193e-08
1.55271.9119552.473644e-08
1.559921.9118182.485149e-08
1.567171.9116822.496707e-08
1.574461.9115442.508319e-08
1.581791.9114072.519985e-08
1.589141.9112692.531706e-08
1.596541.911132.543481e-08
1.61.9110652.549000e-08
1.603961.9109912.612223e-08
1.611421.9108522.731297e-08
1.618921.9107122.850925e-08
1.626451.9105712.971110e-08
1.634011.9104313.091853e-08
1.641611.9102893.213158e-08
1.649251.9101473.335028e-08
1.656921.9100043.457464e-08
1.664631.9098613.580469e-08
1.672371.9097183.704047e-08
1.680151.9095733.828200e-08
1.687961.9094283.952930e-08
1.695811.9092834.078240e-08
1.70371.9091374.204133e-08
1.711631.908994.330612e-08
1.719591.9088424.457679e-08
1.727591.9086944.585337e-08
1.735621.9085454.713589e-08
1.743691.9083954.842437e-08
1.751811.9082454.971885e-08
1.759951.9080945.101934e-08
1.768141.9079425.232589e-08
1.776361.9077895.363851e-08
1.784631.9076365.495724e-08
1.792931.9074825.628210e-08
1.81.907355.741100e-08
1.801271.9073275.877545e-08
1.809641.9071716.780218e-08
1.818061.9070147.687088e-08
1.826521.9068578.598177e-08
1.835011.9066989.513504e-08
1.843551.9065391.043309e-07
1.852121.9063781.135695e-07
1.860741.9062171.228511e-07
1.869391.9060551.321758e-07
1.878091.9058921.415440e-07
1.886821.9057281.509557e-07
1.89561.9055631.604112e-07
1.904421.9053961.699106e-07
1.913281.9052291.794543e-07
1.922181.9050611.890423e-07
1.931121.9048921.986750e-07
1.94011.9047212.083524e-07
1.949121.904552.180749e-07
1.958191.9043772.278425e-07
1.96731.9042042.376556e-07
1.976451.9040292.475144e-07
1.985641.9038532.574190e-07
1.994881.9036752.673697e-07
21.9035772.728900e-07
2.004161.9034972.820681e-07
2.013481.9033173.026595e-07
2.022841.9031363.233466e-07
2.032251.9029543.441299e-07
2.04171.9027713.650099e-07
2.05121.9025863.859870e-07
2.060741.90244.070617e-07
2.070331.9022124.282345e-07
2.079961.9020234.495057e-07
2.089631.9018334.708758e-07
2.099351.9016424.923454e-07
2.109121.9014495.139148e-07
2.118931.9012545.355845e-07
2.128781.9010585.573550e-07
2.138681.9008615.792268e-07
2.148631.9006626.012003e-07
2.158621.9004616.232761e-07
2.168671.9002596.454545e-07
2.178751.9000566.677360e-07
2.188891.899856.901212e-07
2.199071.8996447.126106e-07
2.21.8996257.146700e-07
2.20931.8994358.091679e-07
2.219571.8992259.136266e-07
2.22991.8990131.018571e-06
2.240271.89881.124004e-06
2.250691.8985841.229927e-06
2.261161.8983671.336343e-06
2.271671.8981481.443254e-06
2.282241.8979281.550662e-06
2.292861.8977051.658570e-06
2.303521.8974811.766979e-06
2.314241.8972551.875893e-06
2.3251.8970271.985314e-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
—