Optical constants

Refractive index of H-ZLAF4LB (CDGM)

H-ZLAF4LB: 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
1.91082
Extinction coefficient k
2.09233e-08
Permittivity ε1
3.65121
Permittivity ε2
7.99613e-08
Absorption coefficient α
0.00447465 cm⁻¹
Penetration depth δ = λ/(2πk)
4.46962e+09 nm
Abbe number Vd
35.282
Chromatic dispersion dn/dλ
-0.130893 µm⁻¹
Group index ng
1.98773
Group velocity dispersion
255.194 fs²/mm
Dispersion parameter D
-1392.22 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-ZLAF4LB (CDGM): H-ZLAF4LB
cdgm_h_zlaf4lb = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZLAF4LB", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zlaf4lb.range_nm)  # (365, 2325) nm
eps = cdgm_h_zlaf4lb.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=0.30378754λ2λ2−0.050087732+2.22145931λ2λ2−0.011875826+1.54968685λ2λ2−113.957667

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.30378754
C30.050087732
C42.22145931
C50.011875826
C61.54968685
C7113.957667

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 2.77e-07 1.42e-08 -4.04e-11 8.52e-07 9.84e-10 0.245
nd
1.910820
Vd
35.282389
glass code
911353
density
value: 4840
thermal expansion
value: 6.6e-06, temperature range: 243 343; value: 8.8e-06, temperature range: 293 573
dPgF
-0.0022
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.92e-06 K⁻¹ at 633 nm, dn/dT = 5.32e-07 K⁻¹ at 1310 nm, dn/dT = 4.29e-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-ZLAF4LB (CDGM), H-ZLAF4LB: n and k versus wavelength
λ (µm)nk
0.3651.9808733.424100e-06
0.3666981.9796323.016304e-06
0.3684031.9784112.606611e-06
0.371.9772892.223100e-06
0.3701171.9772072.212012e-06
0.3718381.9760222.048776e-06
0.3735681.9748551.884781e-06
0.3753061.9737051.720023e-06
0.3770511.9725721.554498e-06
0.3788051.9714561.388204e-06
0.381.9707071.274900e-06
0.3805671.9703561.248605e-06
0.3823371.9692721.166515e-06
0.3841161.9682031.084042e-06
0.3859021.967151.001187e-06
0.3876971.9661129.179454e-07
0.38951.9650898.343170e-07
0.391.9648098.111500e-07
0.3913121.964087.770410e-07
0.3931321.9630857.297269e-07
0.3949611.9621046.821928e-07
0.3967981.9611376.344375e-07
0.3986441.9601835.864602e-07
0.41.9594935.512000e-07
0.4004981.9592425.448704e-07
0.4023611.9583135.211843e-07
0.4042321.9573984.973881e-07
0.4061121.9564944.734811e-07
0.4080011.9556034.494629e-07
0.4098991.9547244.253331e-07
0.4118061.9538564.010909e-07
0.4137211.9533.767361e-07
0.4156451.9521553.522679e-07
0.4175791.9513213.276859e-07
0.4195211.9504983.029896e-07
0.421.9502972.969000e-07
0.4214721.9496862.893518e-07
0.4234331.9488842.793017e-07
0.4254021.9480922.692050e-07
0.4273811.947312.590612e-07
0.4293691.9465392.488703e-07
0.4313661.9457772.386320e-07
0.4333721.9450252.283460e-07
0.4353881.9442822.180122e-07
0.4374131.9435482.076304e-07
0.4394481.9428241.972003e-07
0.441.942631.943700e-07
0.4414921.9421091.898823e-07
0.4435451.9414021.837053e-07
0.4456091.9407041.774995e-07
0.4476811.9400151.712649e-07
0.4497641.9393341.650013e-07
0.4518561.9386611.587086e-07
0.4539571.9379971.523866e-07
0.4560691.937341.460352e-07
0.458191.9366921.396542e-07
0.461.9361471.342100e-07
0.4603211.9360511.336076e-07
0.4624621.9354181.295927e-07
0.4646131.9347921.255591e-07
0.4667751.9341741.215068e-07
0.4689461.9335631.174356e-07
0.4711271.9329591.133455e-07
0.4733181.9323621.092363e-07
0.475521.9317721.051081e-07
0.4777321.9311891.009606e-07
0.4799541.9306139.679387e-08
0.481.9306019.670700e-08
0.4821861.9300449.359345e-08
0.4844291.9294819.039914e-08
0.4866821.9289248.718996e-08
0.4889461.9283748.396586e-08
0.491221.927838.072676e-08
0.4935051.9272927.747259e-08
0.49581.9267617.420329e-08
0.4981071.9262357.091879e-08
0.51.925816.822200e-08
0.5004231.9257156.786736e-08
0.5027511.9252016.591764e-08
0.5050891.9246936.395885e-08
0.5074391.9241916.199095e-08
0.5097991.9236946.001390e-08
0.512171.9232025.802765e-08
0.5145531.9227165.603216e-08
0.5169461.9222365.402739e-08
0.519351.921765.201330e-08
0.5217661.921294.998984e-08
0.5241931.9208254.795696e-08
0.5266311.9203654.591463e-08
0.5290811.919914.386281e-08
0.5315421.919464.180143e-08
0.5340141.9190153.973047e-08
0.5364981.9185743.764988e-08
0.5389931.9181383.555961e-08
0.54151.9177073.345961e-08
0.5440191.9172813.134985e-08
0.5465491.9168592.923028e-08
0.5490921.9164412.710084e-08
0.551.9162932.634000e-08
0.5516461.9160282.610292e-08
0.5542121.9156192.573328e-08
0.5567891.9152152.536192e-08
0.5593791.9148142.498883e-08
0.5619811.9144182.461401e-08
0.5645951.9140262.423744e-08
0.5672211.9136382.385912e-08
0.5698591.9132542.347904e-08
0.572511.9128742.309720e-08
0.5751731.9124982.271358e-08
0.5778481.9121262.232817e-08
0.5805361.9117582.194097e-08
0.5832361.9113932.155197e-08
0.5859491.9110322.116116e-08
0.5886751.9106752.076853e-08
0.5914131.9103212.037408e-08
0.5941641.9099711.997779e-08
0.5969271.9096241.957966e-08
0.5997041.9092811.917968e-08
0.61.9092451.913700e-08
0.6024931.9089411.895769e-08
0.6052961.9086051.875614e-08
0.6081111.9082721.855366e-08
0.610941.9079421.835023e-08
0.6137811.9076161.814586e-08
0.6166361.9072931.794053e-08
0.6195041.9069721.773425e-08
0.6223861.9066561.752701e-08
0.6252811.9063421.731881e-08
0.6281891.9060311.710964e-08
0.6311111.9057231.689949e-08
0.6340471.9054181.668837e-08
0.6369961.9051161.647627e-08
0.6399591.9048171.626318e-08
0.6429351.9045211.604910e-08
0.6459261.9042281.583402e-08
0.648931.9039371.561794e-08
0.651.9038341.554100e-08
0.6519491.9036491.536996e-08
0.6549811.9033641.510377e-08
0.6580281.9030821.483635e-08
0.6610881.9028021.456768e-08
0.6641631.9025251.429776e-08
0.6672521.902251.402659e-08
0.6703561.9019781.375415e-08
0.6734741.9017081.348045e-08
0.6766071.9014411.320547e-08
0.6797541.9011771.292922e-08
0.6829151.9009151.265168e-08
0.6860921.9006551.237285e-08
0.6892831.9003971.209272e-08
0.6924891.9001421.181129e-08
0.695711.8998891.152855e-08
0.6989461.8996391.124450e-08
0.71.8995581.115200e-08
0.7021971.8993911.118700e-08
0.7054631.8991451.123903e-08
0.7087451.8989011.129130e-08
0.7120411.8986591.134382e-08
0.7153531.8984191.139658e-08
0.7186811.8981821.144958e-08
0.7220231.8979461.150283e-08
0.7253821.8977131.155633e-08
0.7287561.8974821.161008e-08
0.7321461.8972521.166408e-08
0.7355511.8970251.171833e-08
0.7389721.8967991.177283e-08
0.7424091.8965761.182758e-08
0.7458631.8963541.188259e-08
0.7493321.8961341.193786e-08
0.7528171.8959171.199338e-08
0.7563191.89571.204916e-08
0.7598371.8954861.210520e-08
0.7633711.8952741.216150e-08
0.7669221.8950631.221806e-08
0.7704891.8948541.227489e-08
0.7740731.8946471.233198e-08
0.7776731.8944411.238933e-08
0.781291.8942371.244696e-08
0.7849241.8940351.250485e-08
0.7885751.8938341.256301e-08
0.7922431.8936351.262144e-08
0.7959281.8934371.268014e-08
0.799631.8932411.273911e-08
0.81.8932221.274500e-08
0.803351.8930471.279840e-08
0.8070861.8928541.285796e-08
0.810841.8926621.291780e-08
0.8146121.8924721.297791e-08
0.8184011.8922841.303831e-08
0.8222081.8920971.309899e-08
0.8260321.8919111.315995e-08
0.8298741.8917271.322119e-08
0.8337341.8915441.328272e-08
0.8376121.8913621.334454e-08
0.8415081.8911821.340664e-08
0.8454221.8910031.346903e-08
0.8493551.8908261.353171e-08
0.851.8907971.354200e-08
0.8533051.8906491.359462e-08
0.8572741.8904741.365781e-08
0.8612621.8903011.372129e-08
0.8652681.8901281.378506e-08
0.8692921.8899571.384913e-08
0.8733361.8897871.391350e-08
0.8773981.8896181.397817e-08
0.8814791.889451.404315e-08
0.8855791.8892831.410842e-08
0.8896981.8891171.417399e-08
0.8938361.8889531.423988e-08
0.8979941.888791.430606e-08
0.91.8887111.433800e-08
0.9021711.8886271.437260e-08
0.9063671.8884661.443949e-08
0.9105831.8883061.450669e-08
0.9148181.8881471.457420e-08
0.9190731.8879891.464203e-08
0.9233481.8878311.471017e-08
0.9276431.8876751.477863e-08
0.9319581.887521.484741e-08
0.9362931.8873661.491651e-08
0.9406481.8872121.498593e-08
0.9450231.887061.505567e-08
0.9494191.8869081.512573e-08
0.951.8868881.513500e-08
0.9538351.8867581.519605e-08
0.9582711.8866081.526668e-08
0.9627291.8864591.533764e-08
0.9672071.8863111.540893e-08
0.9717051.8861641.548055e-08
0.9762251.8860171.555250e-08
0.9807661.8858721.562479e-08
0.9853281.8857271.569742e-08
0.9899111.8855831.577038e-08
0.9945151.8854391.584368e-08
0.9991411.8852971.591732e-08
11.885271.593100e-08
1.003791.8851551.599136e-08
1.008461.8850141.606575e-08
1.013151.8848731.614049e-08
1.017861.8847341.621558e-08
1.022591.8845951.629101e-08
1.027351.8844561.636680e-08
1.032131.8843181.644293e-08
1.036931.8841811.651943e-08
1.041751.8840451.659628e-08
1.04661.8839091.667348e-08
1.051471.8837731.675105e-08
1.056361.8836391.682897e-08
1.061.8835391.688700e-08
1.061271.8835041.690726e-08
1.066211.8833711.698593e-08
1.071171.8832381.706496e-08
1.076151.8831051.714435e-08
1.081151.8829731.722412e-08
1.086181.8828421.730426e-08
1.091241.8827111.738477e-08
1.096311.882581.746565e-08
1.101411.882451.754691e-08
1.106531.882321.762855e-08
1.111681.8821911.771057e-08
1.116851.8820621.779297e-08
1.122051.8819341.787576e-08
1.127271.8818061.795892e-08
1.132511.8816791.804248e-08
1.137781.8815511.812642e-08
1.143071.8814251.821076e-08
1.148391.8812981.829549e-08
1.153731.8811721.838061e-08
1.159091.8810461.846612e-08
1.164481.8809211.855204e-08
1.16991.8807961.863835e-08
1.175341.8806711.872507e-08
1.180811.8805461.881219e-08
1.18631.8804221.889971e-08
1.191821.8802981.898764e-08
1.197361.8801741.907598e-08
1.21.8801161.911800e-08
1.202931.8800511.916472e-08
1.208531.8799271.925385e-08
1.214151.8798041.934340e-08
1.21981.8796811.943336e-08
1.225471.8795591.952374e-08
1.231171.8794361.961454e-08
1.23691.8793141.970577e-08
1.242651.8791911.979742e-08
1.248431.8790691.988949e-08
1.254241.8789471.998199e-08
1.260071.8788262.007493e-08
1.265931.8787042.016829e-08
1.271821.8785822.026209e-08
1.277741.8784612.035633e-08
1.283681.8783392.045101e-08
1.289651.8782182.054612e-08
1.295651.8780972.064168e-08
1.301671.8779762.073768e-08
1.307731.8778542.083413e-08
1.313811.8777332.093103e-08
1.319921.8776122.102837e-08
1.326061.8774912.112617e-08
1.332231.8773692.122443e-08
1.338431.8772482.132314e-08
1.344651.8771272.142231e-08
1.350911.8770062.152195e-08
1.357191.8768842.162204e-08
1.36351.8767632.172260e-08
1.369851.8766412.182363e-08
1.376221.8765192.192513e-08
1.382621.8763982.202711e-08
1.389051.8762762.212955e-08
1.395511.8761542.223247e-08
1.41.8760692.230400e-08
1.4021.8760322.233588e-08
1.408521.8759092.243976e-08
1.415071.8757872.254412e-08
1.421661.8756642.264897e-08
1.428271.8755412.275431e-08
1.434911.8754182.286014e-08
1.441591.8752952.296646e-08
1.448291.8751722.307328e-08
1.455031.8750482.318059e-08
1.46181.8749242.328840e-08
1.468591.87482.339671e-08
1.475431.8746752.350553e-08
1.482291.8745512.361485e-08
1.489181.8744252.372468e-08
1.496111.87432.383503e-08
1.503071.8741742.394588e-08
1.510061.8740482.405725e-08
1.517081.8739222.416914e-08
1.524141.8737952.428155e-08
1.531231.8736682.439448e-08
1.538351.8735412.450794e-08
1.545511.8734132.462193e-08
1.55271.8732852.473644e-08
1.559921.8731562.485149e-08
1.567171.8730272.496707e-08
1.574461.8728972.508319e-08
1.581791.8727682.519985e-08
1.589141.8726372.531706e-08
1.596541.8725062.543481e-08
1.61.8724452.549000e-08
1.603961.8723752.669249e-08
1.611421.8722432.895725e-08
1.618921.872113.123255e-08
1.626451.8719773.351843e-08
1.634011.8718443.581494e-08
1.641611.871713.812214e-08
1.649251.8715754.044006e-08
1.656921.871444.276877e-08
1.664631.8713044.510831e-08
1.672371.8711684.745873e-08
1.680151.8710314.982008e-08
1.687961.8708935.219242e-08
1.695811.8707555.457579e-08
1.70371.8706165.697025e-08
1.711631.8704765.937584e-08
1.719591.8703366.179263e-08
1.727591.8701956.422065e-08
1.735621.8700536.665997e-08
1.743691.8699116.911064e-08
1.751811.8697677.157270e-08
1.759951.8696237.404622e-08
1.768141.8694797.653124e-08
1.776361.8693337.902782e-08
1.784631.8691878.153601e-08
1.792931.869048.405587e-08
1.81.8689148.620300e-08
1.801271.8688928.769320e-08
1.809641.8687439.755180e-08
1.818061.8685931.074563e-07
1.826521.8684421.174068e-07
1.835011.8682911.274036e-07
1.843551.8681391.374469e-07
1.852121.8679851.475369e-07
1.860741.8678311.576739e-07
1.869391.8676761.678580e-07
1.878091.867521.780895e-07
1.886821.8673621.883685e-07
1.89561.8672041.986954e-07
1.904421.8670452.090703e-07
1.913281.8668852.194935e-07
1.922181.8667242.299651e-07
1.931121.8665612.404855e-07
1.94011.8663982.510548e-07
1.949121.8662332.616732e-07
1.958191.8660682.723411e-07
1.96731.8659012.830585e-07
1.976451.8657332.938258e-07
1.985641.8655643.046432e-07
1.994881.8653943.155109e-07
21.8652993.215400e-07
2.004161.8652223.312261e-07
2.013481.8650493.529570e-07
2.022841.8648753.747891e-07
2.032251.86473.967226e-07
2.04171.8645244.187582e-07
2.05121.8643464.408963e-07
2.060741.8641674.631374e-07
2.070331.8639864.854819e-07
2.079961.8638045.079303e-07
2.089631.8636215.304832e-07
2.099351.8634375.531410e-07
2.109121.8632515.759041e-07
2.118931.8630635.987731e-07
2.128781.8628746.217485e-07
2.138681.8626846.448308e-07
2.148631.8624926.680204e-07
2.158621.8622996.913179e-07
2.168671.8621047.147238e-07
2.178751.8619077.382385e-07
2.188891.8617097.618626e-07
2.199071.861517.855966e-07
2.21.8614917.877700e-07
2.20931.8613088.954267e-07
2.219571.8611051.014431e-06
2.22991.8609011.133990e-06
2.240271.8606951.254104e-06
2.250691.8604871.374777e-06
2.261161.8602771.496011e-06
2.271671.8600651.617809e-06
2.282241.8598521.740174e-06
2.292861.8596371.863108e-06
2.303521.859421.986614e-06
2.314241.8592012.110694e-06
2.3251.8589812.235351e-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
—