Optical constants

Refractive index of H-ZF73 (CDGM)

H-ZF73: 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
1.95905
Extinction coefficient k
1.10927e-07
Permittivity ε1
3.83788
Permittivity ε2
4.34624e-07
Absorption coefficient α
0.0237228 cm⁻¹
Penetration depth δ = λ/(2πk)
8.43070e+08 nm
Abbe number Vd
17.472
Chromatic dispersion dn/dλ
-0.269871 µm⁻¹
Group index ng
2.11763
Group velocity dispersion
594.603 fs²/mm
Dispersion parameter D
-3243.87 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-ZF73 (CDGM): H-ZF73
cdgm_h_zf73 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZF73", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zf73.range_nm)  # (404.7, 2325) nm
eps = cdgm_h_zf73.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=0.528336971λ2λ2−0.0759305743+2.05959954λ2λ2−0.0171346469+3.5863808λ2λ2−189.364809

Valid from 0.4047 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.528336971
C30.0759305743
C42.05959954
C50.0171346469
C63.5863808
C7189.364809

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -2.47e-06 1.75e-08 -4.65e-11 1.29e-06 1.86e-09 0.328
nd
1.959060
Vd
17.472434
glass code
959175
density
value: 3490
thermal expansion
value: 5.8e-06, temperature range: 243 343; value: 7.4e-06, temperature range: 293 573
dPgF
0.0426
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.39e-06 K⁻¹ at 633 nm, dn/dT = -1.14e-06 K⁻¹ at 1310 nm, dn/dT = -1.30e-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-ZF73 (CDGM), H-ZF73: n and k versus wavelength
λ (µm)nk
0.40472.069334.626892e-06
0.4064772.0669744.250766e-06
0.4082622.0646643.872989e-06
0.4100552.0623983.493552e-06
0.4118562.0601743.112449e-06
0.4136642.0579912.729673e-06
0.4154812.0558492.345216e-06
0.4173052.0537451.959070e-06
0.4191382.051681.571229e-06
0.422.0507241.388800e-06
0.4209792.0496521.361665e-06
0.4228272.0476591.310405e-06
0.4246842.0457021.258919e-06
0.4265492.0437781.207208e-06
0.4284222.0418881.155269e-06
0.4303042.040031.103103e-06
0.4321932.0382041.050707e-06
0.4340912.0364099.980811e-07
0.4359972.0346439.452242e-07
0.4379122.0329078.921352e-07
0.4398352.0311998.388130e-07
0.442.0310548.342400e-07
0.4417672.0295198.138618e-07
0.4437072.0278667.914833e-07
0.4456552.026247.690065e-07
0.4476122.0246397.464310e-07
0.4495782.0230647.237564e-07
0.4515522.0215147.009821e-07
0.4535352.0199886.781079e-07
0.4555272.0184856.551332e-07
0.4575272.0170056.320577e-07
0.4595362.0155486.088808e-07
0.462.0152166.035300e-07
0.4615542.0141135.925577e-07
0.4635812.01275.782480e-07
0.4656172.0113085.638755e-07
0.4676612.0099365.494399e-07
0.4697152.0085845.349409e-07
0.4717782.0072535.203782e-07
0.473852.0059415.057516e-07
0.475932.0046474.910607e-07
0.478022.0033724.763053e-07
0.482.0021874.623300e-07
0.480122.0021164.616785e-07
0.4822282.0008774.502004e-07
0.4843461.9996564.386719e-07
0.4864731.9984524.270928e-07
0.4886091.9972654.154628e-07
0.4907551.9960944.037818e-07
0.492911.9949393.920495e-07
0.4950741.99383.802656e-07
0.4972481.9926773.684300e-07
0.4994321.9915683.565424e-07
0.51.9912833.534500e-07
0.5016251.9904753.474730e-07
0.5038281.9893973.393714e-07
0.5060411.9883323.312342e-07
0.5082631.9872823.230614e-07
0.5104951.9862463.148526e-07
0.5127361.9852233.066077e-07
0.5149881.9842142.983267e-07
0.517251.9832182.900093e-07
0.5195211.9822342.816554e-07
0.5218021.9812642.732648e-07
0.5240941.9803052.648373e-07
0.5263951.9793592.563729e-07
0.5287071.9784252.478712e-07
0.5310291.9775032.393323e-07
0.5333611.9765922.307558e-07
0.5357031.9756922.221417e-07
0.5380551.9748042.134897e-07
0.5404181.9739272.047998e-07
0.5427911.973061.960717e-07
0.5451751.9722041.873052e-07
0.5475691.9713591.785003e-07
0.5499741.9705241.696567e-07
0.551.9705151.695600e-07
0.5523891.9696991.658349e-07
0.5548151.9688841.620522e-07
0.5572511.9680781.582529e-07
0.5596981.9672831.544369e-07
0.5621561.9664961.506042e-07
0.5646251.9657191.467546e-07
0.5671041.9649511.428882e-07
0.5695951.9641931.390047e-07
0.5720961.9634431.351042e-07
0.5746081.9627011.311866e-07
0.5771311.9619691.272518e-07
0.5796661.9612441.232997e-07
0.5822111.9605291.193302e-07
0.5847681.9598211.153433e-07
0.5873361.9591211.113389e-07
0.5899151.9584291.073169e-07
0.5925061.9577461.032773e-07
0.5951081.9570699.921988e-08
0.5977211.9564019.514467e-08
0.61.9558269.159100e-08
0.6003461.955749.160735e-08
0.6029821.9550869.173194e-08
0.605631.9544399.185708e-08
0.608291.95389.198277e-08
0.6109611.9531679.210902e-08
0.6136441.9525429.223581e-08
0.6163391.9519239.236317e-08
0.6190451.9513129.249108e-08
0.6217641.9507069.261956e-08
0.6244941.9501089.274860e-08
0.6272371.9495159.287820e-08
0.6299911.9489299.300838e-08
0.6327581.948359.313912e-08
0.6355361.9477769.327044e-08
0.6383271.9472089.340234e-08
0.641131.9466479.353482e-08
0.6439461.9460919.366788e-08
0.6467741.9455429.380152e-08
0.6496141.9449979.393575e-08
0.651.9449249.395400e-08
0.6524671.9444599.208098e-08
0.6553321.9439268.990518e-08
0.658211.9433998.771982e-08
0.66111.9428778.552487e-08
0.6640031.942368.332027e-08
0.6669191.9418498.110600e-08
0.6698481.9413437.888200e-08
0.6727891.9408427.664824e-08
0.6757441.9403467.440466e-08
0.6787111.9398557.215124e-08
0.6816921.9393696.988791e-08
0.6846851.9388886.761465e-08
0.6876921.9384116.533141e-08
0.6907121.937946.303814e-08
0.6937451.9374726.073480e-08
0.6967921.937015.842134e-08
0.6998521.9365525.609772e-08
0.71.936535.598500e-08
0.7029251.9360985.565551e-08
0.7060121.9356495.530778e-08
0.7091121.9352055.495852e-08
0.7122261.9347645.460773e-08
0.7153541.9343285.425540e-08
0.7184951.9338965.390152e-08
0.721651.9334685.354609e-08
0.7248191.9330445.318910e-08
0.7280021.9326245.283054e-08
0.7311991.9322085.247040e-08
0.734411.9317965.210868e-08
0.7376351.9313885.174538e-08
0.7408751.9309835.138048e-08
0.7441281.9305835.101397e-08
0.7473961.9301865.064586e-08
0.7506781.9297925.027613e-08
0.7539741.9294024.990478e-08
0.7572851.9290164.953180e-08
0.7606111.9286344.915717e-08
0.7639511.9282544.878091e-08
0.7673061.9278784.840299e-08
0.7706751.9275064.802341e-08
0.774061.9271374.764216e-08
0.7774591.9267714.725924e-08
0.7808731.9264084.687464e-08
0.7843021.9260494.648835e-08
0.7877461.9256934.610036e-08
0.7912061.9253394.571067e-08
0.794681.9249894.531927e-08
0.798171.9246424.492615e-08
0.81.9244624.472000e-08
0.8016751.9242984.413008e-08
0.8051961.9239574.289024e-08
0.8087311.9236184.164496e-08
0.8122831.9232834.039420e-08
0.815851.922953.913796e-08
0.8194331.9226213.787620e-08
0.8230311.9222943.660890e-08
0.8266451.9219693.533603e-08
0.8302761.9216483.405757e-08
0.8339221.9213293.277350e-08
0.8375841.9210123.148379e-08
0.8412621.9206983.018842e-08
0.8449561.9203872.888736e-08
0.8486671.9200782.758058e-08
0.851.9199682.711100e-08
0.8523931.9197722.649956e-08
0.8561371.9194682.554333e-08
0.8598961.9191672.458289e-08
0.8636721.9188682.361824e-08
0.8674651.9185712.264935e-08
0.8712751.9182762.167620e-08
0.8751011.9179842.069879e-08
0.8789441.9176941.971708e-08
0.8828031.9174071.873106e-08
0.886681.9171211.774071e-08
0.8905741.9168381.674601e-08
0.8944851.9165561.574694e-08
0.8984131.9162771.474348e-08
0.91.9161651.433800e-08
0.9023581.9161.437559e-08
0.9063211.9157251.443875e-08
0.9103011.9154521.450219e-08
0.9142981.9151811.456591e-08
0.9183131.9149121.462991e-08
0.9223461.9146451.469419e-08
0.9263961.914381.475876e-08
0.9304641.9141161.482360e-08
0.934551.9138551.488873e-08
0.9386541.9135951.495415e-08
0.9427761.9133371.501986e-08
0.9469161.9130811.508585e-08
0.951.9128921.513500e-08
0.9510751.9128271.515211e-08
0.9552511.9125741.521860e-08
0.9594461.9123231.528538e-08
0.963661.9120741.535246e-08
0.9678911.9118261.541983e-08
0.9721421.911581.548750e-08
0.9764111.9113351.555546e-08
0.9806991.9110921.562372e-08
0.9850051.9108511.569228e-08
0.9893311.9106111.576115e-08
0.9936751.9103731.583031e-08
0.9980391.9101361.589978e-08
11.910031.593100e-08
1.002421.9099011.596959e-08
1.006821.9096671.603972e-08
1.011251.9094341.611017e-08
1.015691.9092031.618093e-08
1.020151.9089731.625199e-08
1.024631.9087441.632337e-08
1.029131.9085171.639507e-08
1.033641.9082911.646707e-08
1.038181.9080671.653940e-08
1.042741.9078431.661204e-08
1.047321.9076211.668500e-08
1.051921.90741.675828e-08
1.056541.9071811.683188e-08
1.061.9070181.688700e-08
1.061181.9069621.690581e-08
1.065841.9067451.698007e-08
1.070521.9065291.705466e-08
1.075221.9063131.712957e-08
1.079941.9060991.720482e-08
1.084691.9058861.728039e-08
1.089451.9056741.735630e-08
1.094231.9054631.743254e-08
1.099041.9052541.750911e-08
1.103871.9050451.758602e-08
1.108711.9048371.766327e-08
1.113581.904631.774086e-08
1.118471.9044241.781879e-08
1.123381.9042191.789706e-08
1.128321.9040141.797567e-08
1.133271.9038111.805463e-08
1.138251.9036081.813394e-08
1.143251.9034071.821359e-08
1.148271.9032061.829360e-08
1.153311.9030061.837395e-08
1.158371.9028071.845466e-08
1.163461.9026081.853572e-08
1.168571.902411.861714e-08
1.17371.9022131.869892e-08
1.178861.9020171.878106e-08
1.184031.9018221.886355e-08
1.189231.9016271.894641e-08
1.194451.9014331.902963e-08
1.19971.9012391.911322e-08
1.21.9012281.911800e-08
1.204971.9010461.919715e-08
1.210261.9008541.928144e-08
1.215571.9006621.936610e-08
1.220911.9004711.945114e-08
1.226271.900281.953655e-08
1.231661.900091.962233e-08
1.237071.8999011.970849e-08
1.24251.8997121.979503e-08
1.247961.8995231.988195e-08
1.253441.8993351.996925e-08
1.258941.8991472.005694e-08
1.264471.898962.014500e-08
1.270021.8987742.023346e-08
1.27561.8985872.032230e-08
1.28121.8984012.041154e-08
1.286831.8982162.050117e-08
1.292481.8980312.059119e-08
1.298151.8978462.068160e-08
1.303861.8976612.077241e-08
1.309581.8974772.086362e-08
1.315331.8972932.095524e-08
1.321111.897112.104725e-08
1.326911.8969262.113967e-08
1.332741.8967432.123249e-08
1.338591.8965612.132572e-08
1.344471.8963782.141936e-08
1.350371.8961962.151342e-08
1.35631.8960132.160788e-08
1.362261.8958312.170276e-08
1.368241.895652.179806e-08
1.374251.8954682.189377e-08
1.380281.8952862.198991e-08
1.386341.8951052.208646e-08
1.392431.8949232.218345e-08
1.398551.8947422.228085e-08
1.41.8946992.230400e-08
1.404691.8945612.357741e-08
1.410861.894382.525279e-08
1.417051.8941982.693552e-08
1.423281.8940172.862564e-08
1.429531.8938363.032319e-08
1.43581.8936553.202818e-08
1.442111.8934743.374067e-08
1.448441.8932933.546067e-08
1.45481.8931113.718823e-08
1.461191.892933.892338e-08
1.467611.8927494.066614e-08
1.474051.8925674.241656e-08
1.480531.8923854.417467e-08
1.487031.8922044.594049e-08
1.493561.8920224.771407e-08
1.500121.891844.949544e-08
1.50671.8916575.128463e-08
1.513321.8914755.308168e-08
1.519971.8912925.488662e-08
1.526641.8911095.669948e-08
1.533341.8909265.852031e-08
1.540081.8907426.034913e-08
1.546841.8905596.218599e-08
1.553631.8903756.403091e-08
1.560461.890196.588393e-08
1.567311.8900066.774509e-08
1.574191.8898216.961442e-08
1.58111.8896357.149196e-08
1.588051.889457.337775e-08
1.595021.8892647.527182e-08
1.61.8891317.662400e-08
1.602031.8890777.774634e-08
1.609061.888898.164401e-08
1.616131.8887038.555880e-08
1.623221.8885158.949077e-08
1.630351.8883279.344002e-08
1.637511.8881389.740660e-08
1.64471.8879491.013906e-07
1.651931.8877591.053921e-07
1.659181.8875691.094112e-07
1.666471.8873781.134479e-07
1.673781.8871871.175024e-07
1.681131.8869951.215746e-07
1.688521.8868021.256647e-07
1.695931.8866091.297728e-07
1.703381.8864151.338990e-07
1.710861.8862211.380432e-07
1.718371.8860261.422057e-07
1.725921.885831.463864e-07
1.73351.8856341.505855e-07
1.741111.8854361.548031e-07
1.748761.8852391.590391e-07
1.756441.885041.632938e-07
1.764151.8848411.675671e-07
1.77191.884641.718592e-07
1.779681.8844391.761702e-07
1.787491.8842381.805001e-07
1.795341.8840351.848490e-07
1.81.8839151.874300e-07
1.803231.8838321.893309e-07
1.811141.8836271.939977e-07
1.81911.8834221.986851e-07
1.827091.8832162.033931e-07
1.835111.8830092.081217e-07
1.843171.8828012.128711e-07
1.851261.8825922.176413e-07
1.859391.8823822.224325e-07
1.867561.8821712.272447e-07
1.875761.8819592.320781e-07
1.8841.8817462.369327e-07
1.892271.8815332.418086e-07
1.900581.8813172.467059e-07
1.908921.8811012.516247e-07
1.917311.8808842.565651e-07
1.925731.8806662.615273e-07
1.934181.8804462.665112e-07
1.942681.8802262.715170e-07
1.951211.8800042.765447e-07
1.959781.8797812.815946e-07
1.968381.8795572.866666e-07
1.977031.8793312.917609e-07
1.985711.8791052.968776e-07
1.994431.8788773.020168e-07
21.8787313.053000e-07
2.003191.8786473.112435e-07
2.011981.8784173.276469e-07
2.020821.8781853.441222e-07
2.029691.8779523.606700e-07
2.038611.8777173.772904e-07
2.047561.8774813.939838e-07
2.056551.8772434.107505e-07
2.065581.8770044.275908e-07
2.074651.8767644.445051e-07
2.083761.8765224.614937e-07
2.092911.8762794.785568e-07
2.10211.8760344.956949e-07
2.111341.8757875.129083e-07
2.120611.8755395.301972e-07
2.129921.875295.475621e-07
2.139271.8750395.650032e-07
2.148671.8747865.825209e-07
2.15811.8745316.001156e-07
2.167581.8742756.177875e-07
2.17711.8740176.355370e-07
2.186661.8737576.533644e-07
2.196261.8734966.712702e-07
2.21.8733946.782400e-07
2.205911.8732336.931094e-07
2.215591.8729687.174945e-07
2.225321.8727017.419866e-07
2.23511.8724327.665864e-07
2.244911.8721627.912941e-07
2.254771.8718898.161104e-07
2.264671.8716158.410356e-07
2.274621.8713398.660703e-07
2.28461.871068.912149e-07
2.294641.870789.164700e-07
2.304711.8704989.418359e-07
2.314831.8702149.673133e-07
2.3251.8699279.929025e-07

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
—