Optical constants

Refractive index of H-ZLAF90 (CDGM)

H-ZLAF90: n,k 0.4047–2.325 µm

Data
formula 2 + tabulated k
Range
0.4047–2.325 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.4047–2.325 µm
Refractive index n
2.00068
Extinction coefficient k
5.58020e-08
Permittivity ε1
4.00273
Permittivity ε2
2.23284e-07
Absorption coefficient α
0.0119338 cm⁻¹
Penetration depth δ = λ/(2πk)
1.67592e+09 nm
Abbe number Vd
25.426
Chromatic dispersion dn/dλ
-0.196925 µm⁻¹
Group index ng
2.1164
Group velocity dispersion
407.307 fs²/mm
Dispersion parameter D
-2222.08 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-ZLAF90 (CDGM): H-ZLAF90
cdgm_h_zlaf90 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZLAF90", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zlaf90.range_nm)  # (404.7, 2325) nm
eps = cdgm_h_zlaf90.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=0.494167183λ2λ2−0.0602358038+2.31375143λ2λ2−0.0137149187+2.2792987λ2λ2−148.088436

Valid from 0.4047 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.494167183
C30.0602358038
C42.31375143
C50.0137149187
C62.2792987
C7148.088436

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -2.2e-06 1.4e-08 -1.91e-11 1.04e-06 1.38e-09 0.29
nd
2.000690
Vd
25.425752
density
value: 4740
thermal expansion
value: 7e-06, temperature range: 243 343; value: 8.7e-06, temperature range: 293 573
dPgF
0.0117

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 8.09e-07 K⁻¹ at 633 nm, dn/dT = -1.13e-06 K⁻¹ at 1310 nm, dn/dT = -1.26e-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 421 wavelengths, the same grid as the API and the library
H-ZLAF90 (CDGM), H-ZLAF90: n and k versus wavelength
λ (µm)nk
0.40472.0746861.528405e-06
0.4064772.0732441.456903e-06
0.4082622.0718241.385087e-06
0.4100552.0704251.312956e-06
0.4118562.0690471.240508e-06
0.4136642.0676891.167741e-06
0.4154812.066351.094656e-06
0.4173052.0650321.021249e-06
0.4191382.0637329.475200e-07
0.422.0631299.128400e-07
0.4209792.0624518.948128e-07
0.4228272.0611898.607583e-07
0.4246842.0599448.265541e-07
0.4265492.0587177.921998e-07
0.4284222.0575077.576946e-07
0.4303042.0563157.230379e-07
0.4321932.0551386.882290e-07
0.4340912.0539786.532673e-07
0.4359972.0528346.181520e-07
0.4379122.0517055.828825e-07
0.4398352.0505925.474581e-07
0.442.0504975.444200e-07
0.4417672.0494945.275370e-07
0.4437072.048415.089967e-07
0.4456552.0473414.903750e-07
0.4476122.0462864.716715e-07
0.4495782.0452454.528858e-07
0.4515522.0442184.340177e-07
0.4535352.0432044.150668e-07
0.4555272.0422033.960326e-07
0.4575272.0412153.769148e-07
0.4595362.0402413.577131e-07
0.462.0400183.532800e-07
0.4615542.0392783.460944e-07
0.4635812.0383283.367232e-07
0.4656172.037393.273108e-07
0.4676612.0364633.178571e-07
0.4697152.0355493.083619e-07
0.4717782.0346462.988250e-07
0.473852.0337542.892462e-07
0.475932.0328732.796254e-07
0.478022.0320032.699623e-07
0.482.0311922.608100e-07
0.480122.0311442.603456e-07
0.4822282.0302952.521640e-07
0.4843462.0294572.439465e-07
0.4864732.0286292.356928e-07
0.4886092.027812.274029e-07
0.4907552.0270022.190767e-07
0.492912.0262042.107138e-07
0.4950742.0254142.023142e-07
0.4972482.0246351.938778e-07
0.4994322.0238641.854043e-07
0.52.0236661.832000e-07
0.5016252.0231031.798294e-07
0.5038282.0223511.752607e-07
0.5060412.0216071.706719e-07
0.5082632.0208721.660629e-07
0.5104952.0201461.614338e-07
0.5127362.0194281.567843e-07
0.5149882.0187181.521144e-07
0.517252.0180171.474239e-07
0.5195212.0173231.427129e-07
0.5218022.0166381.379812e-07
0.5240942.015961.332287e-07
0.5263952.015291.284553e-07
0.5287072.0146281.236610e-07
0.5310292.0139731.188456e-07
0.5333612.0133251.140091e-07
0.5357032.0126841.091514e-07
0.5380552.0120511.042723e-07
0.5404182.0114259.937174e-08
0.5427912.0108059.444970e-08
0.5451752.0101938.950605e-08
0.5475692.0095878.454069e-08
0.5499742.0089887.955352e-08
0.552.0089817.949900e-08
0.5523892.0083957.799344e-08
0.5548152.0078097.646463e-08
0.5572512.0072297.492911e-08
0.5596982.0066557.338685e-08
0.5621562.0060887.183781e-08
0.5646252.0055267.028197e-08
0.5671042.0049716.871930e-08
0.5695952.0044226.714976e-08
0.5720962.0038786.557333e-08
0.5746082.003346.398998e-08
0.5771312.0028086.239968e-08
0.5796662.0022816.080240e-08
0.5822112.001765.919809e-08
0.5847682.0012455.758675e-08
0.5873362.0007345.596833e-08
0.5899152.000235.434280e-08
0.5925061.999735.271013e-08
0.5951081.9992355.107029e-08
0.5977211.9987464.942325e-08
0.61.9983254.798700e-08
0.6003461.9982614.790638e-08
0.6029821.9977824.729201e-08
0.605631.9973074.667493e-08
0.608291.9968384.605515e-08
0.6109611.9963734.543265e-08
0.6136441.9959124.480741e-08
0.6163391.9954574.417942e-08
0.6190451.9950064.354868e-08
0.6217641.9945594.291517e-08
0.6244941.9941174.227887e-08
0.6272371.9936794.163978e-08
0.6299911.9932464.099789e-08
0.6327581.9928174.035318e-08
0.6355361.9923923.970563e-08
0.6383271.9919713.905524e-08
0.641131.9915553.840200e-08
0.6439461.9911423.774588e-08
0.6467741.9907343.708689e-08
0.6496141.9903293.642500e-08
0.651.9902743.633500e-08
0.6524671.9899283.564393e-08
0.6553321.9895323.484115e-08
0.658211.9891393.403484e-08
0.66111.988753.322500e-08
0.6640031.9883643.241159e-08
0.6669191.9879823.159462e-08
0.6698481.9876043.077405e-08
0.6727891.987232.994988e-08
0.6757441.9868592.912210e-08
0.6787111.9864912.829068e-08
0.6816921.9861272.745560e-08
0.6846851.9857662.661686e-08
0.6876921.9854092.577444e-08
0.6907121.9850552.492832e-08
0.6937451.9847042.407848e-08
0.6967921.9843572.322491e-08
0.6998521.9840132.236759e-08
0.71.9839962.232600e-08
0.7029251.9836712.204577e-08
0.7060121.9833332.175002e-08
0.7091121.9829982.145297e-08
0.7122261.9826672.115462e-08
0.7153541.9823382.085496e-08
0.7184951.9820122.055398e-08
0.721651.9816892.025168e-08
0.7248191.9813691.994806e-08
0.7280021.9810511.964310e-08
0.7311991.9807371.933680e-08
0.734411.9804251.902915e-08
0.7376351.9801161.872016e-08
0.7408751.979811.840981e-08
0.7441281.9795061.809809e-08
0.7473961.9792061.778501e-08
0.7506781.9789071.747055e-08
0.7539741.9786121.715471e-08
0.7572851.9783181.683748e-08
0.7606111.9780281.651886e-08
0.7639511.977741.619884e-08
0.7673061.9774541.587742e-08
0.7706751.9771711.555458e-08
0.774061.976891.523033e-08
0.7774591.9766111.490465e-08
0.7808731.9763351.457755e-08
0.7843021.9760611.424900e-08
0.7877461.975791.391901e-08
0.7912061.9755211.358758e-08
0.794681.9752531.325469e-08
0.798171.9749891.292033e-08
0.81.9748511.274500e-08
0.8016751.9747261.277170e-08
0.8051961.9744651.282782e-08
0.8087311.9742071.288418e-08
0.8122831.973951.294079e-08
0.815851.9736961.299765e-08
0.8194331.9734441.305476e-08
0.8230311.9731931.311212e-08
0.8266451.9729451.316973e-08
0.8302761.9726991.322759e-08
0.8339221.9724541.328571e-08
0.8375841.9722121.334408e-08
0.8412621.9719711.340271e-08
0.8449561.9717321.346160e-08
0.8486671.9714951.352075e-08
0.851.9714111.354200e-08
0.8523931.971261.358010e-08
0.8561371.9710271.363970e-08
0.8598961.9707951.369955e-08
0.8636721.9705661.375967e-08
0.8674651.9703371.382005e-08
0.8712751.9701111.388069e-08
0.8751011.9698861.394160e-08
0.8789441.9696631.400278e-08
0.8828031.9694421.406423e-08
0.886681.9692221.412595e-08
0.8905741.9690041.418794e-08
0.8944851.9687871.425020e-08
0.8984131.9685721.431273e-08
0.91.9684861.433800e-08
0.9023581.9683581.437559e-08
0.9063211.9681461.443875e-08
0.9103011.9679351.450219e-08
0.9142981.9677261.456591e-08
0.9183131.9675191.462991e-08
0.9223461.9673121.469419e-08
0.9263961.9671071.475876e-08
0.9304641.9669041.482360e-08
0.934551.9667021.488873e-08
0.9386541.9665011.495415e-08
0.9427761.9663011.501986e-08
0.9469161.9661031.508585e-08
0.951.9659571.513500e-08
0.9510751.9659061.515211e-08
0.9552511.9657111.521860e-08
0.9594461.9655171.528538e-08
0.963661.9653231.535246e-08
0.9678911.9651321.541983e-08
0.9721421.9649411.548750e-08
0.9764111.9647511.555546e-08
0.9806991.9645631.562372e-08
0.9850051.9643761.569228e-08
0.9893311.964191.576115e-08
0.9936751.9640051.583031e-08
0.9980391.9638211.589978e-08
11.9637391.593100e-08
1.002421.9636381.596959e-08
1.006821.9634571.603972e-08
1.011251.9632761.611017e-08
1.015691.9630961.618093e-08
1.020151.9629181.625199e-08
1.024631.962741.632337e-08
1.029131.9625641.639507e-08
1.033641.9623881.646707e-08
1.038181.9622131.653940e-08
1.042741.9620391.661204e-08
1.047321.9618671.668500e-08
1.051921.9616951.675828e-08
1.056541.9615241.683188e-08
1.061.9613971.688700e-08
1.061181.9613531.690581e-08
1.065841.9611841.698007e-08
1.070521.9610161.705466e-08
1.075221.9608481.712957e-08
1.079941.9606811.720482e-08
1.084691.9605151.728039e-08
1.089451.960351.735630e-08
1.094231.9601851.743254e-08
1.099041.9600221.750911e-08
1.103871.9598591.758602e-08
1.108711.9596961.766327e-08
1.113581.9595351.774086e-08
1.118471.9593741.781879e-08
1.123381.9592141.789706e-08
1.128321.9590541.797567e-08
1.133271.9588951.805463e-08
1.138251.9587371.813394e-08
1.143251.958581.821359e-08
1.148271.9584231.829360e-08
1.153311.9582661.837395e-08
1.158371.958111.845466e-08
1.163461.9579551.853572e-08
1.168571.9578011.861714e-08
1.17371.9576461.869892e-08
1.178861.9574931.878106e-08
1.184031.957341.886355e-08
1.189231.9571871.894641e-08
1.194451.9570351.902963e-08
1.19971.9568841.911322e-08
1.21.9568751.911800e-08
1.204971.9567321.919715e-08
1.210261.9565821.928144e-08
1.215571.9564321.936610e-08
1.220911.9562821.945114e-08
1.226271.9561321.953655e-08
1.231661.9559831.962233e-08
1.237071.9558351.970849e-08
1.24251.9556871.979503e-08
1.247961.9555391.988195e-08
1.253441.9553911.996925e-08
1.258941.9552442.005694e-08
1.264471.9550972.014500e-08
1.270021.9549512.023346e-08
1.27561.9548052.032230e-08
1.28121.9546592.041154e-08
1.286831.9545132.050117e-08
1.292481.9543682.059119e-08
1.298151.9542222.068160e-08
1.303861.9540782.077241e-08
1.309581.9539332.086362e-08
1.315331.9537882.095524e-08
1.321111.9536442.104725e-08
1.326911.95352.113967e-08
1.332741.9533562.123249e-08
1.338591.9532122.132572e-08
1.344471.9530692.141936e-08
1.350371.9529252.151342e-08
1.35631.9527822.160788e-08
1.362261.9526392.170276e-08
1.368241.9524962.179806e-08
1.374251.9523532.189377e-08
1.380281.952212.198991e-08
1.386341.9520672.208646e-08
1.392431.9519242.218345e-08
1.398551.9517822.228085e-08
1.41.9517482.230400e-08
1.404691.9516392.237869e-08
1.410861.9514962.247695e-08
1.417051.9513542.257565e-08
1.423281.9512112.267478e-08
1.429531.9510682.277434e-08
1.43581.9509252.287435e-08
1.442111.9507832.297479e-08
1.448441.950642.307567e-08
1.45481.9504972.317700e-08
1.461191.9503542.327877e-08
1.467611.9502112.338098e-08
1.474051.9500682.348365e-08
1.480531.9499252.358677e-08
1.487031.9497812.369034e-08
1.493561.9496382.379436e-08
1.500121.9494942.389884e-08
1.50671.949352.400378e-08
1.513321.9492062.410919e-08
1.519971.9490622.421505e-08
1.526641.9489182.432138e-08
1.533341.9487732.442817e-08
1.540081.9486282.453544e-08
1.546841.9484832.464318e-08
1.553631.9483382.475138e-08
1.560461.9481922.486007e-08
1.567311.9480472.496923e-08
1.574191.94792.507887e-08
1.58111.9477542.518899e-08
1.588051.9476072.529960e-08
1.595021.947462.541069e-08
1.61.9473562.549000e-08
1.602031.9473132.595906e-08
1.609061.9471652.758801e-08
1.616131.9470172.922411e-08
1.623221.9468693.086739e-08
1.630351.946723.251790e-08
1.637511.9465713.417565e-08
1.64471.9464213.584068e-08
1.651931.9462713.751302e-08
1.659181.946123.919270e-08
1.666471.945974.087976e-08
1.673781.9458184.257423e-08
1.681131.9456664.427614e-08
1.688521.9455144.598553e-08
1.695931.9453614.770242e-08
1.703381.9452084.942685e-08
1.710861.9450545.115886e-08
1.718371.9448995.289847e-08
1.725921.9447445.464571e-08
1.73351.9445895.640064e-08
1.741111.9444335.816326e-08
1.748761.9442765.993363e-08
1.756441.9441196.171178e-08
1.764151.9439616.349773e-08
1.77191.9438026.529152e-08
1.779681.9436436.709319e-08
1.787491.9434836.890278e-08
1.795341.9433227.072031e-08
1.81.9432277.179900e-08
1.803231.9431617.452027e-08
1.811141.9429998.120129e-08
1.81911.9428378.791165e-08
1.827091.9426739.465147e-08
1.835111.9425091.014209e-07
1.843171.9423441.082201e-07
1.851261.9421781.150491e-07
1.859391.9420121.219081e-07
1.867561.9418451.287972e-07
1.875761.9416771.357165e-07
1.8841.9415081.426663e-07
1.892271.9413381.496466e-07
1.900581.9411671.566575e-07
1.908921.9409961.636992e-07
1.917311.9408231.707719e-07
1.925731.940651.778756e-07
1.934181.9404761.850105e-07
1.942681.9403011.921767e-07
1.951211.9401241.993744e-07
1.959781.9399472.066037e-07
1.968381.9397692.138647e-07
1.977031.939592.211577e-07
1.985711.939412.284826e-07
1.994431.9392292.358398e-07
21.9391132.405400e-07
2.003191.9390472.469361e-07
2.011981.9388632.645886e-07
2.020821.9386792.823186e-07
2.029691.9384943.001265e-07
2.038611.9383073.180126e-07
2.047561.9381193.359772e-07
2.056551.9379313.540207e-07
2.065581.9377413.721435e-07
2.074651.9375493.903458e-07
2.083761.9373574.086281e-07
2.092911.9371634.269906e-07
2.10211.9369694.454338e-07
2.111341.9367724.639580e-07
2.120611.9365754.825635e-07
2.129921.9363765.012507e-07
2.139271.9361765.200200e-07
2.148671.9359755.388718e-07
2.15811.9357725.578063e-07
2.167581.9355685.768239e-07
2.17711.9353635.959251e-07
2.186661.9351566.151101e-07
2.196261.9349486.343794e-07
2.21.9348676.418800e-07
2.205911.9347386.892892e-07
2.215591.9345277.670380e-07
2.225321.9343158.451283e-07
2.23511.93419.235615e-07
2.244911.9338851.002339e-06
2.254771.9336681.081463e-06
2.264671.9334491.160934e-06
2.274621.9332291.240754e-06
2.28461.9330071.320924e-06
2.294641.9327831.401447e-06
2.304711.9325581.482323e-06
2.314831.9323311.563554e-06
2.3251.9321021.645143e-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
—