Optical constants

Refractive index of H-ZF88GT (CDGM)

H-ZF88GT: 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
1.94594
Extinction coefficient k
2.67161e-08
Permittivity ε1
3.78668
Permittivity ε2
1.03976e-07
Absorption coefficient α
0.00571348 cm⁻¹
Penetration depth δ = λ/(2πk)
3.50050e+09 nm
Abbe number Vd
17.942
Chromatic dispersion dn/dλ
-0.259563 µm⁻¹
Group index ng
2.09846
Group velocity dispersion
569.191 fs²/mm
Dispersion parameter D
-3105.24 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-ZF88GT (CDGM): H-ZF88GT
cdgm_h_zf88gt = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZF88GT", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zf88gt.range_nm)  # (404.7, 2325) nm
eps = cdgm_h_zf88gt.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=2.04275349λ2λ2−0.0169742976+1.98276153λ2λ2−109.068151+0.504267829λ2λ2−0.075171071

Valid from 0.4047 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C22.04275349
C30.0169742976
C41.98276153
C5109.068151
C60.504267829
C70.075171071

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -3.58e-06 1.75e-08 -4.67e-11 1.18e-06 1.91e-09 0.33
nd
1.945950
Vd
17.941964
glass code
946179
density
value: 3520
thermal expansion
value: 6e-06, temperature range: 243 343; value: 7.3e-06, temperature range: 293 573
dPgF
0.0401
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 3.29e-07 K⁻¹ at 633 nm, dn/dT = -1.93e-06 K⁻¹ at 1310 nm, dn/dT = -2.07e-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-ZF88GT (CDGM), H-ZF88GT: n and k versus wavelength
λ (µm)nk
0.40472.0513442.717238e-06
0.4064772.0491072.463794e-06
0.4082622.0469132.209236e-06
0.4100552.0447591.953561e-06
0.4118562.0426461.696764e-06
0.4136642.0405711.438838e-06
0.4154812.0385331.179780e-06
0.4173052.0365339.195843e-07
0.4191382.0345686.582459e-07
0.422.0336585.353200e-07
0.4209792.0326375.213756e-07
0.4228272.0307414.950338e-07
0.4246842.0288774.685762e-07
0.4265492.0270454.420025e-07
0.4284222.0252454.153121e-07
0.4303042.0234753.885044e-07
0.4321932.0217343.615791e-07
0.4340912.0200233.345355e-07
0.4359972.0183393.073731e-07
0.4379122.0166832.800915e-07
0.4398352.0150542.526900e-07
0.442.0149162.503400e-07
0.4417672.0134522.427773e-07
0.4437072.0118752.344723e-07
0.4456552.0103222.261309e-07
0.4476122.0087952.177527e-07
0.4495782.0072912.093378e-07
0.4515522.005812.008860e-07
0.4535352.0043521.923970e-07
0.4555272.0029171.838708e-07
0.4575272.0015031.753071e-07
0.4595362.0001111.667058e-07
0.461.9997931.647200e-07
0.4615541.9987391.615736e-07
0.4635811.9973881.574702e-07
0.4656171.9960571.533488e-07
0.4676611.9947451.492093e-07
0.4697151.9934531.450516e-07
0.4717781.9921791.408757e-07
0.473851.9909231.366814e-07
0.475931.9896861.324687e-07
0.478021.9884661.282375e-07
0.481.9873311.242300e-07
0.480121.9872631.240406e-07
0.4822281.9860781.207044e-07
0.4843461.9849081.173536e-07
0.4864731.9837551.139880e-07
0.4886091.9826181.106076e-07
0.4907551.9814971.072124e-07
0.492911.9803911.038023e-07
0.4950741.97931.003772e-07
0.4972481.9782239.693707e-08
0.4994321.9771619.348183e-08
0.51.9768889.258300e-08
0.5016251.9761139.071640e-08
0.5038281.9750798.818632e-08
0.5060411.9740598.564512e-08
0.5082631.9730528.309277e-08
0.5104951.9720598.052920e-08
0.5127361.9710787.795438e-08
0.5149881.970117.536825e-08
0.517251.9691547.277077e-08
0.5195211.9682117.016188e-08
0.5218021.967286.754153e-08
0.5240941.966366.490967e-08
0.5263951.9654526.226626e-08
0.5287071.9645565.961124e-08
0.5310291.963675.694456e-08
0.5333611.9627965.426617e-08
0.5357031.9619335.157601e-08
0.5380551.961084.887405e-08
0.5404181.9602374.616022e-08
0.5427911.9594054.343447e-08
0.5451751.9585834.069675e-08
0.5475691.9577713.794701e-08
0.5499741.9569693.518519e-08
0.551.956963.515500e-08
0.5523891.9561763.461884e-08
0.5548151.9553933.407441e-08
0.5572511.954623.352758e-08
0.5596981.9538553.297835e-08
0.5621561.9530993.242671e-08
0.5646251.9523523.187265e-08
0.5671041.9516143.131615e-08
0.5695951.9508853.075721e-08
0.5720961.9501643.019582e-08
0.5746081.9494512.963196e-08
0.5771311.9487472.906562e-08
0.5796661.9480512.849680e-08
0.5822111.9473622.792548e-08
0.5847681.9466822.735165e-08
0.5873361.9460092.677530e-08
0.5899151.9453432.619642e-08
0.5925061.9446862.561499e-08
0.5951081.9440352.503102e-08
0.5977211.9433922.444448e-08
0.61.9428392.393300e-08
0.6003461.9427562.391085e-08
0.6029821.9421272.374207e-08
0.605631.9415052.357255e-08
0.608291.9408892.340229e-08
0.6109611.9402812.323128e-08
0.6136441.9396792.305951e-08
0.6163391.9390832.288699e-08
0.6190451.9384942.271372e-08
0.6217641.9379122.253968e-08
0.6244941.9373352.236488e-08
0.6272371.9367652.218931e-08
0.6299911.9362012.201297e-08
0.6327581.9356432.183586e-08
0.6355361.935092.165797e-08
0.6383271.9345442.147930e-08
0.641131.9340032.129984e-08
0.6439461.9334682.111959e-08
0.6467741.9329382.093856e-08
0.6496141.9324142.075672e-08
0.651.9323442.073200e-08
0.6524671.9318962.081063e-08
0.6553321.9313822.090198e-08
0.658211.9308742.099372e-08
0.66111.9303722.108587e-08
0.6640031.9298742.117842e-08
0.6669191.9293812.127138e-08
0.6698481.9288932.136475e-08
0.6727891.9284112.145852e-08
0.6757441.9279332.155271e-08
0.6787111.927462.164732e-08
0.6816921.9269912.174233e-08
0.6846851.9265272.183777e-08
0.6876921.9260682.193362e-08
0.6907121.9256132.202990e-08
0.6937451.9251632.212660e-08
0.6967921.9247172.222372e-08
0.6998521.9242762.232127e-08
0.71.9242542.232600e-08
0.7029251.9238382.223243e-08
0.7060121.9234052.213369e-08
0.7091121.9229772.203450e-08
0.7122261.9225522.193489e-08
0.7153541.9221312.183483e-08
0.7184951.9217142.173434e-08
0.721651.9213022.163341e-08
0.7248191.9208932.153203e-08
0.7280021.9204882.143021e-08
0.7311991.9200872.132794e-08
0.734411.9196892.122522e-08
0.7376351.9192952.112205e-08
0.7408751.9189052.101842e-08
0.7441281.9185192.091434e-08
0.7473961.9181362.080981e-08
0.7506781.9177562.070481e-08
0.7539741.917382.059936e-08
0.7572851.9170072.049344e-08
0.7606111.9166382.038705e-08
0.7639511.9162722.028020e-08
0.7673061.915912.017288e-08
0.7706751.915552.006509e-08
0.774061.9151941.995683e-08
0.7774591.9148411.984809e-08
0.7808731.9144911.973887e-08
0.7843021.9141441.962917e-08
0.7877461.91381.951899e-08
0.7912061.9134591.940833e-08
0.794681.9131211.929718e-08
0.798171.9127861.918554e-08
0.81.9126121.912700e-08
0.8016751.9124541.916707e-08
0.8051961.9121241.925128e-08
0.8087311.9117981.933586e-08
0.8122831.9114741.942081e-08
0.815851.9111531.950613e-08
0.8194331.9108341.959183e-08
0.8230311.9105181.967790e-08
0.8266451.9102051.976436e-08
0.8302761.9098941.985119e-08
0.8339221.9095861.993840e-08
0.8375841.9092812.002600e-08
0.8412621.9089782.011398e-08
0.8449561.9086772.020235e-08
0.8486671.9083792.029111e-08
0.851.9082732.032300e-08
0.8523931.9080832.003650e-08
0.8561371.9077891.958844e-08
0.8598961.9074981.913841e-08
0.8636721.9072091.868641e-08
0.8674651.9069231.823242e-08
0.8712751.9066381.777644e-08
0.8751011.9063561.731845e-08
0.8789441.9060761.685846e-08
0.8828031.9057981.639644e-08
0.886681.9055221.593239e-08
0.8905741.9052481.546631e-08
0.8944851.9049761.499818e-08
0.8984131.9047071.452800e-08
0.91.9045981.433800e-08
0.9023581.9044391.437559e-08
0.9063211.9041731.443875e-08
0.9103011.9039091.450219e-08
0.9142981.9036471.456591e-08
0.9183131.9033871.462991e-08
0.9223461.9031291.469419e-08
0.9263961.9028721.475876e-08
0.9304641.9026181.482360e-08
0.934551.9023651.488873e-08
0.9386541.9021141.495415e-08
0.9427761.9018651.501986e-08
0.9469161.9016171.508585e-08
0.951.9014341.513500e-08
0.9510751.9013711.515211e-08
0.9552511.9011271.521860e-08
0.9594461.9008841.528538e-08
0.963661.9006431.535246e-08
0.9678911.9004031.541983e-08
0.9721421.9001651.548750e-08
0.9764111.8999291.555546e-08
0.9806991.8996941.562372e-08
0.9850051.899461.569228e-08
0.9893311.8992281.576115e-08
0.9936751.8989981.583031e-08
0.9980391.8987691.589978e-08
11.8986661.593100e-08
1.002421.8985411.596959e-08
1.006821.8983151.603972e-08
1.011251.898091.611017e-08
1.015691.8978661.618093e-08
1.020151.8976431.625199e-08
1.024631.8974221.632337e-08
1.029131.8972021.639507e-08
1.033641.8969841.646707e-08
1.038181.8967671.653940e-08
1.042741.896551.661204e-08
1.047321.8963351.668500e-08
1.051921.8961221.675828e-08
1.056541.8959091.683188e-08
1.061.8957511.688700e-08
1.061181.8956971.690581e-08
1.065841.8954871.698007e-08
1.070521.8952771.705466e-08
1.075221.8950691.712957e-08
1.079941.8948621.720482e-08
1.084691.8946561.728039e-08
1.089451.894451.735630e-08
1.094231.8942461.743254e-08
1.099041.8940431.750911e-08
1.103871.893841.758602e-08
1.108711.8936391.766327e-08
1.113581.8934381.774086e-08
1.118471.8932391.781879e-08
1.123381.893041.789706e-08
1.128321.8928421.797567e-08
1.133271.8926451.805463e-08
1.138251.8924491.813394e-08
1.143251.8922541.821359e-08
1.148271.8920591.829360e-08
1.153311.8918651.837395e-08
1.158371.8916721.845466e-08
1.163461.891481.853572e-08
1.168571.8912881.861714e-08
1.17371.8910971.869892e-08
1.178861.8909071.878106e-08
1.184031.8907171.886355e-08
1.189231.8905281.894641e-08
1.194451.890341.902963e-08
1.19971.8901521.911322e-08
1.21.8901411.911800e-08
1.204971.8899651.919715e-08
1.210261.8897781.928144e-08
1.215571.8895921.936610e-08
1.220911.8894071.945114e-08
1.226271.8892221.953655e-08
1.231661.8890371.962233e-08
1.237071.8888531.970849e-08
1.24251.888671.979503e-08
1.247961.8884871.988195e-08
1.253441.8883041.996925e-08
1.258941.8881222.005694e-08
1.264471.8879412.014500e-08
1.270021.8877592.023346e-08
1.27561.8875782.032230e-08
1.28121.8873982.041154e-08
1.286831.8872182.050117e-08
1.292481.8870382.059119e-08
1.298151.8868582.068160e-08
1.303861.8866792.077241e-08
1.309581.88652.086362e-08
1.315331.8863212.095524e-08
1.321111.8861432.104725e-08
1.326911.8859652.113967e-08
1.332741.8857872.123249e-08
1.338591.8856092.132572e-08
1.344471.8854322.141936e-08
1.350371.8852542.151342e-08
1.35631.8850772.160788e-08
1.362261.88492.170276e-08
1.368241.8847232.179806e-08
1.374251.8845462.189377e-08
1.380281.884372.198991e-08
1.386341.8841932.208646e-08
1.392431.8840162.218345e-08
1.398551.883842.228085e-08
1.41.8837982.230400e-08
1.404691.8836632.327730e-08
1.410861.8834872.455783e-08
1.417051.8833112.584398e-08
1.423281.8831342.713577e-08
1.429531.8829582.843324e-08
1.43581.8827812.973641e-08
1.442111.8826053.104530e-08
1.448441.8824283.235994e-08
1.45481.8822513.368036e-08
1.461191.8820753.500657e-08
1.467611.8818983.633860e-08
1.474051.8817213.767648e-08
1.480531.8815443.902024e-08
1.487031.8813664.036990e-08
1.493561.8811894.172549e-08
1.500121.8810114.308703e-08
1.50671.8808334.445455e-08
1.513321.8806554.582807e-08
1.519971.8804774.720763e-08
1.526641.8802984.859324e-08
1.533341.8801194.998494e-08
1.540081.879945.138275e-08
1.546841.8797615.278670e-08
1.553631.8795815.419682e-08
1.560461.8794015.561312e-08
1.567311.879225.703565e-08
1.574191.8790395.846442e-08
1.58111.8788585.989947e-08
1.588051.8786776.134082e-08
1.595021.8784956.278850e-08
1.61.8783656.382200e-08
1.602031.8783126.463371e-08
1.609061.8781296.745261e-08
1.616131.8779467.028390e-08
1.623221.8777627.312761e-08
1.630351.8775787.598381e-08
1.637511.8773937.885256e-08
1.64471.8772088.173390e-08
1.651931.8770228.462790e-08
1.659181.8768358.753461e-08
1.666471.8766489.045408e-08
1.673781.8764619.338637e-08
1.681131.8762729.633154e-08
1.688521.8760849.928964e-08
1.695931.8758941.022607e-07
1.703381.8757041.052449e-07
1.710861.8755131.082421e-07
1.718371.8753221.112525e-07
1.725921.875131.142761e-07
1.73351.8749371.173130e-07
1.741111.8747431.203633e-07
1.748761.8745491.234269e-07
1.756441.8743531.265040e-07
1.764151.8741571.295946e-07
1.77191.8739611.326988e-07
1.779681.8737631.358166e-07
1.787491.8735641.389481e-07
1.795341.8733651.420933e-07
1.81.8732471.439600e-07
1.803231.8731651.455175e-07
1.811141.8729641.493415e-07
1.81911.8727621.531822e-07
1.827091.8725591.570398e-07
1.835111.8723551.609143e-07
1.843171.872151.648058e-07
1.851261.8719441.687145e-07
1.859391.8717371.726402e-07
1.867561.8715291.765833e-07
1.875761.871321.805436e-07
1.8841.871111.845214e-07
1.892271.8708991.885166e-07
1.900581.8706861.925293e-07
1.908921.8704731.965597e-07
1.917311.8702582.006078e-07
1.925731.8700422.046736e-07
1.934181.8698262.087573e-07
1.942681.8696072.128589e-07
1.951211.8693882.169786e-07
1.959781.8691672.211163e-07
1.968381.8689452.252722e-07
1.977031.8687222.294464e-07
1.985711.8684982.336389e-07
1.994431.8682722.378498e-07
21.8681272.405400e-07
2.003191.8680452.478058e-07
2.011981.8678162.678585e-07
2.020821.8675862.879992e-07
2.029691.8673553.082285e-07
2.038611.8671223.285465e-07
2.047561.8668883.489538e-07
2.056551.8666523.694506e-07
2.065581.8664153.900375e-07
2.074651.8661764.107148e-07
2.083761.8659354.314829e-07
2.092911.8656934.523422e-07
2.10211.865454.732931e-07
2.111341.8652054.943360e-07
2.120611.8649585.154713e-07
2.129921.8647095.366995e-07
2.139271.8644595.580208e-07
2.148671.8642075.794358e-07
2.15811.8639536.009448e-07
2.167581.8636986.225483e-07
2.17711.863446.442466e-07
2.186661.8631816.660402e-07
2.196261.862926.879296e-07
2.21.8628196.964500e-07
2.205911.8626587.101820e-07
2.215591.8623937.327019e-07
2.225321.8621267.553206e-07
2.23511.8618587.780387e-07
2.244911.8615878.008565e-07
2.254771.8613148.237746e-07
2.264671.861048.467933e-07
2.274621.8607638.699130e-07
2.28461.8604848.931343e-07
2.294641.8602039.164576e-07
2.304711.859929.398833e-07
2.314831.8596359.634119e-07
2.3251.8593489.870438e-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
—