Optical constants

Refractive index of H-ZLAF92 (CDGM)

H-ZLAF92: 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
2.00329
Extinction coefficient k
1.32666e-07
Permittivity ε1
4.01318
Permittivity ε2
5.31536e-07
Absorption coefficient α
0.0283718 cm⁻¹
Penetration depth δ = λ/(2πk)
7.04927e+08 nm
Abbe number Vd
28.316
Chromatic dispersion dn/dλ
-0.178133 µm⁻¹
Group index ng
2.10796
Group velocity dispersion
360.969 fs²/mm
Dispersion parameter D
-1969.28 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-ZLAF92 (CDGM): H-ZLAF92
cdgm_h_zlaf92 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZLAF92", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zlaf92.range_nm)  # (365, 2325) nm
eps = cdgm_h_zlaf92.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=1.86762237λ2λ2−123.07862+0.375569196λ2λ2−0.059664373+2.45933103λ2λ2−0.014148158

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C21.86762237
C3123.07862
C40.375569196
C50.059664373
C62.45933103
C70.014148158

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -5.53e-07 1.56e-08 -5.25e-11 1e-06 1.17e-09 0.275
nd
2.003300
Vd
28.316305
density
value: 5020
thermal expansion
value: 6.9e-06, temperature range: 243 343; value: 8.7e-06, temperature range: 293 573
dPgF
0.0057
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.89e-06 K⁻¹ at 633 nm, dn/dT = 4.10e-08 K⁻¹ at 1310 nm, dn/dT = -8.89e-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-ZLAF92 (CDGM), H-ZLAF92: n and k versus wavelength
λ (µm)nk
0.3652.1046861.074905e-05
0.3666982.1027629.816671e-06
0.3684032.1008738.879954e-06
0.372.0991448.003100e-06
0.3701172.0990197.961178e-06
0.3718382.0971977.343990e-06
0.3735682.0954086.723932e-06
0.3753062.093656.100989e-06
0.3770512.0919225.475149e-06
0.3788052.0902244.846397e-06
0.382.0890884.418000e-06
0.3805672.0885554.330505e-06
0.3823372.0869154.057354e-06
0.3841162.0853013.782933e-06
0.3859022.0837153.507235e-06
0.3876972.0821553.230255e-06
0.38952.080622.951987e-06
0.392.08022.874900e-06
0.3913122.079112.769995e-06
0.3931322.0776242.624476e-06
0.3949612.0761622.478280e-06
0.3967982.0747242.331405e-06
0.3986442.0733072.183846e-06
0.42.0722852.075400e-06
0.4004982.0719132.054731e-06
0.4023612.0705411.977386e-06
0.4042322.069191.899681e-06
0.4061122.0678591.821614e-06
0.4080012.0665481.743184e-06
0.4098992.0652571.664390e-06
0.4118062.0639861.585229e-06
0.4137212.0627331.505699e-06
0.4156452.0614991.425800e-06
0.4175792.0602831.345529e-06
0.4195212.0590841.264885e-06
0.422.0587921.245000e-06
0.4214722.0579031.216071e-06
0.4234332.0567391.177554e-06
0.4254022.0555921.138858e-06
0.4273812.0544611.099981e-06
0.4293692.0533461.060924e-06
0.4313662.0522461.021686e-06
0.4333722.0511629.822644e-07
0.4353882.0500939.426598e-07
0.4374132.0490399.028710e-07
0.4394482.0479998.628971e-07
0.442.047728.520500e-07
0.4414922.0469748.351262e-07
0.4435452.0459628.118321e-07
0.4456092.0449647.884296e-07
0.4476812.043987.649182e-07
0.4497642.0430087.412975e-07
0.4518562.042057.175669e-07
0.4539572.0411046.937259e-07
0.4560692.0401716.697741e-07
0.458192.039256.457108e-07
0.462.0384776.251800e-07
0.4603212.0383416.228418e-07
0.4624622.0374446.072588e-07
0.4646132.0365585.916033e-07
0.4667752.0356845.758751e-07
0.4689462.0348215.600736e-07
0.4711272.0339695.441987e-07
0.4733182.0331285.282499e-07
0.475522.0322975.122270e-07
0.4777322.0314774.961295e-07
0.4799542.0306674.799572e-07
0.482.0306514.796200e-07
0.4821862.0298684.667800e-07
0.4844292.0290784.536068e-07
0.4866822.0282984.403724e-07
0.4889462.0275284.270765e-07
0.491222.0267674.137187e-07
0.4935052.0260154.002988e-07
0.49582.0252733.868164e-07
0.4981072.0245393.732713e-07
0.52.0239463.621500e-07
0.5004232.0238143.606350e-07
0.5027512.0230993.523058e-07
0.5050892.0223913.439378e-07
0.5074392.0216923.355309e-07
0.5097992.0210023.270850e-07
0.512172.0203193.185997e-07
0.5145532.0196453.100750e-07
0.5169462.0189793.015106e-07
0.519352.018322.929064e-07
0.5217662.0176692.842622e-07
0.5241932.0170262.755777e-07
0.5266312.016392.668529e-07
0.5290812.0157612.580875e-07
0.5315422.015142.492813e-07
0.5340142.0145262.404341e-07
0.5364982.0139192.315458e-07
0.5389932.0133192.226162e-07
0.54152.0127252.136450e-07
0.5440192.0121382.046321e-07
0.5465492.0115581.955773e-07
0.5490922.0109851.864803e-07
0.552.0107821.832300e-07
0.5516462.0104181.810169e-07
0.5542122.0098571.775663e-07
0.5567892.0093021.740996e-07
0.5593792.0087541.706168e-07
0.5619812.0082111.671179e-07
0.5645952.0076751.636026e-07
0.5672212.0071441.600710e-07
0.5698592.006621.565230e-07
0.572512.0061011.529584e-07
0.5751732.0055871.493773e-07
0.5778482.005081.457796e-07
0.5805362.0045771.421651e-07
0.5832362.004081.385337e-07
0.5859492.0035891.348855e-07
0.5886752.0031031.312204e-07
0.5914132.0026211.275381e-07
0.5941642.0021451.238388e-07
0.5969272.0016751.201222e-07
0.5997042.0012091.163884e-07
0.62.0011591.159900e-07
0.6024932.0007471.154171e-07
0.6052962.0002911.147731e-07
0.6081111.999841.141261e-07
0.610941.9993931.134761e-07
0.6137811.9989511.128231e-07
0.6166361.9985141.121670e-07
0.6195041.9980811.115079e-07
0.6223861.9976521.108457e-07
0.6252811.9972281.101805e-07
0.6281891.9968081.095121e-07
0.6311111.9963931.088407e-07
0.6340471.9959821.081661e-07
0.6369961.9955741.074884e-07
0.6399591.9951711.068075e-07
0.6429351.9947731.061235e-07
0.6459261.9943781.054363e-07
0.648931.9939871.047459e-07
0.651.9938491.045000e-07
0.6519491.99361.039290e-07
0.6549811.9932171.030403e-07
0.6580281.9928371.021475e-07
0.6610881.9924621.012505e-07
0.6641631.992091.003493e-07
0.6672521.9917219.944401e-08
0.6703561.9913579.853447e-08
0.6734741.9909969.762070e-08
0.6766071.9906389.670267e-08
0.6797541.9902849.578038e-08
0.6829151.9899339.485379e-08
0.6860921.9895869.392290e-08
0.6892831.9892429.298767e-08
0.6924891.9889019.204810e-08
0.695711.9885649.110415e-08
0.6989461.988239.015581e-08
0.71.9881228.984700e-08
0.7021971.9878988.970321e-08
0.7054631.987578.948947e-08
0.7087451.9872468.927474e-08
0.7120411.9869248.905901e-08
0.7153531.9866058.884228e-08
0.7186811.9862898.862454e-08
0.7220231.9859768.840578e-08
0.7253821.9856668.818601e-08
0.7287561.9853598.796522e-08
0.7321461.9850548.774340e-08
0.7355511.9847538.752054e-08
0.7389721.9844548.729666e-08
0.7424091.9841588.707172e-08
0.7458631.9838648.684575e-08
0.7493321.9835738.661872e-08
0.7528171.9832858.639064e-08
0.7563191.9829998.616149e-08
0.7598371.9827168.593128e-08
0.7633711.9824368.570000e-08
0.7669221.9821578.546764e-08
0.7704891.9818828.523420e-08
0.7740731.9816088.499968e-08
0.7776731.9813378.476407e-08
0.781291.9810698.452735e-08
0.7849241.9808028.428954e-08
0.7885751.9805388.405063e-08
0.7922431.9802768.381060e-08
0.7959281.9800178.356945e-08
0.799631.9797598.332718e-08
0.81.9797348.330300e-08
0.803351.9795047.999354e-08
0.8070861.9792517.630189e-08
0.810841.9797.259306e-08
0.8146121.9787516.886698e-08
0.8184011.9785046.512357e-08
0.8222081.978266.136275e-08
0.8260321.9780175.758444e-08
0.8298741.9777765.378855e-08
0.8337341.9775374.997501e-08
0.8376121.97734.614372e-08
0.8415081.9770654.229462e-08
0.8454221.9768323.842761e-08
0.8493551.97663.454262e-08
0.851.9765633.390500e-08
0.8533051.9763713.403688e-08
0.8572741.9761433.419524e-08
0.8612621.9759173.435434e-08
0.8652681.9756933.451418e-08
0.8692921.975473.467477e-08
0.8733361.9752493.483610e-08
0.8773981.975033.499818e-08
0.8814791.9748123.516101e-08
0.8855791.9745963.532460e-08
0.8896981.9743823.548896e-08
0.8938361.9741693.565407e-08
0.8979941.9739583.581996e-08
0.91.9738573.590000e-08
0.9021711.9737493.598657e-08
0.9063671.973543.615392e-08
0.9105831.9733343.632205e-08
0.9148181.9731293.649096e-08
0.9190731.9729253.666065e-08
0.9233481.9727223.683113e-08
0.9276431.9725223.700241e-08
0.9319581.9723223.717448e-08
0.9362931.9721243.734736e-08
0.9406481.9719273.752103e-08
0.9450231.9717323.769552e-08
0.9494191.9715373.787082e-08
0.951.9715123.789400e-08
0.9538351.9713443.743391e-08
0.9582711.9711533.690160e-08
0.9627291.9709623.636682e-08
0.9672071.9707733.582956e-08
0.9717051.9705853.528979e-08
0.9762251.9703983.474752e-08
0.9807661.9702133.420272e-08
0.9853281.9700283.365538e-08
0.9899111.9698453.310551e-08
0.9945151.9696633.255307e-08
0.9991411.9694823.199806e-08
11.9694483.189500e-08
1.003791.9693013.201585e-08
1.008461.9691223.216479e-08
1.013151.9689443.231442e-08
1.017861.9687683.246475e-08
1.022591.9685923.261578e-08
1.027351.9684173.276751e-08
1.032131.9682433.291994e-08
1.036931.968073.307309e-08
1.041751.9678973.322694e-08
1.04661.9677263.338152e-08
1.051471.9675563.353681e-08
1.056361.9673863.369282e-08
1.061.9672613.380900e-08
1.061271.9672183.376252e-08
1.066211.967053.358206e-08
1.071171.9668833.340076e-08
1.076151.9667173.321862e-08
1.081151.9665523.303563e-08
1.086181.9663873.285180e-08
1.091241.9662243.266710e-08
1.096311.9660613.248155e-08
1.101411.9658993.229513e-08
1.106531.9657373.210785e-08
1.111681.9655763.191969e-08
1.116851.9654163.173067e-08
1.122051.9652573.154076e-08
1.127271.9650983.134996e-08
1.132511.964943.115828e-08
1.137781.9647823.096571e-08
1.143071.9646253.077225e-08
1.148391.9644693.057788e-08
1.153731.9643133.038261e-08
1.159091.9641583.018643e-08
1.164481.9640042.998934e-08
1.16991.9638492.979133e-08
1.175341.9636962.959240e-08
1.180811.9635432.939255e-08
1.18631.963392.919176e-08
1.191821.9632382.899005e-08
1.197361.9630872.878739e-08
1.21.9630152.869100e-08
1.202931.9629352.876112e-08
1.208531.9627852.889490e-08
1.214151.9626342.902931e-08
1.21981.9624842.916434e-08
1.225471.9623352.929999e-08
1.231171.9621862.943628e-08
1.23691.9620372.957320e-08
1.242651.9618892.971076e-08
1.248431.961742.984896e-08
1.254241.9615932.998781e-08
1.260071.9614453.012729e-08
1.265931.9612983.026743e-08
1.271821.9611513.040822e-08
1.277741.9610043.054966e-08
1.283681.9608583.069176e-08
1.289651.9607123.083453e-08
1.295651.9605663.097795e-08
1.301671.960423.112204e-08
1.307731.9602753.126681e-08
1.313811.9601293.141225e-08
1.319921.9599843.155836e-08
1.326061.9598393.170515e-08
1.332231.9596943.185263e-08
1.338431.9595493.200079e-08
1.344651.9594053.214964e-08
1.350911.959263.229918e-08
1.357191.9591163.244942e-08
1.36351.9589713.260036e-08
1.369851.9588273.275200e-08
1.376221.9586833.290434e-08
1.382621.9585383.305740e-08
1.389051.9583943.321116e-08
1.395511.958253.336564e-08
1.41.958153.347300e-08
1.4021.9581053.364868e-08
1.408521.9579613.422120e-08
1.415071.9578173.479639e-08
1.421661.9576723.537426e-08
1.428271.9575283.595481e-08
1.434911.9573833.653806e-08
1.441591.9572393.712403e-08
1.448291.9570943.771272e-08
1.455031.9569493.830415e-08
1.46181.9568043.889833e-08
1.468591.9566593.949527e-08
1.475431.9565144.009499e-08
1.482291.9563684.069750e-08
1.489181.9562224.130281e-08
1.496111.9560764.191094e-08
1.503071.955934.252190e-08
1.510061.9557844.313570e-08
1.517081.9556374.375235e-08
1.524141.955494.437187e-08
1.531231.9553434.499428e-08
1.538351.9551964.561957e-08
1.545511.9550484.624778e-08
1.55271.95494.687891e-08
1.559921.9547524.751297e-08
1.567171.9546034.814999e-08
1.574461.9544544.878996e-08
1.581791.9543054.943292e-08
1.589141.9541555.007886e-08
1.596541.9540045.072781e-08
1.61.9539345.103200e-08
1.603961.9538545.201415e-08
1.611421.9537035.386392e-08
1.618921.9535515.572229e-08
1.626451.9533995.758931e-08
1.634011.9532475.946501e-08
1.641611.9530946.134943e-08
1.649251.952946.324263e-08
1.656921.9527866.514462e-08
1.664631.9526326.705547e-08
1.672371.9524776.897520e-08
1.680151.9523217.090386e-08
1.687961.9521657.284149e-08
1.695811.9520087.478814e-08
1.70371.951857.674384e-08
1.711631.9516927.870863e-08
1.719591.9515348.068257e-08
1.727591.9513748.266568e-08
1.735621.9512148.465802e-08
1.743691.9510538.665963e-08
1.751811.9508928.867055e-08
1.759951.950739.069082e-08
1.768141.9505679.272048e-08
1.776361.9504039.475959e-08
1.784631.9502399.680818e-08
1.792931.9500749.886631e-08
1.81.9499331.006200e-07
1.801271.9499081.017108e-07
1.809641.9497411.089275e-07
1.818061.9495731.161777e-07
1.826521.9494051.234616e-07
1.835011.9492351.307794e-07
1.843551.9490651.381313e-07
1.852121.9488941.455173e-07
1.860741.9487221.529377e-07
1.869391.9485491.603926e-07
1.878091.9483751.678822e-07
1.886821.94821.754066e-07
1.89561.9480241.829660e-07
1.904421.9478471.905606e-07
1.913281.9476691.981905e-07
1.922181.947492.058559e-07
1.931121.947312.135570e-07
1.94011.9471292.212938e-07
1.949121.9469472.290667e-07
1.958191.9467632.368757e-07
1.96731.9465792.447210e-07
1.976451.9463932.526028e-07
1.985641.9462062.605213e-07
1.994881.9460182.684766e-07
21.9459142.728900e-07
2.004161.9458292.809334e-07
2.013481.9456392.989789e-07
2.022841.9454473.171083e-07
2.032251.9452543.353221e-07
2.04171.945063.536206e-07
2.05121.9448643.720042e-07
2.060741.9446673.904733e-07
2.070331.9444694.090283e-07
2.079961.9442694.276696e-07
2.089631.9440684.463976e-07
2.099351.9438664.652127e-07
2.109121.9436624.841154e-07
2.118931.9434565.031060e-07
2.128781.943255.221849e-07
2.138681.9430415.413525e-07
2.148631.9428315.606093e-07
2.158621.942625.799557e-07
2.168671.9424075.993920e-07
2.178751.9421926.189188e-07
2.188891.9419766.385364e-07
2.199071.9417586.582452e-07
2.21.9417386.600500e-07
2.20931.9415397.408368e-07
2.219571.9413188.301393e-07
2.22991.9410959.198571e-07
2.240271.940871.009992e-06
2.250691.9406441.100547e-06
2.261161.9404161.191522e-06
2.271671.9401861.282921e-06
2.282241.9399541.374745e-06
2.292861.939721.466996e-06
2.303521.9394851.559676e-06
2.314241.9392471.652787e-06
2.3251.9390081.746331e-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
—