Optical constants

Refractive index of H-ZF88 (CDGM)

H-ZF88: 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
6.27516e-08
Permittivity ε1
3.78668
Permittivity ε2
2.44222e-07
Absorption coefficient α
0.01342 cm⁻¹
Penetration depth δ = λ/(2πk)
1.49031e+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-ZF88 (CDGM): H-ZF88
cdgm_h_zf88 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZF88", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zf88.range_nm)  # (404.7, 2325) nm
eps = cdgm_h_zf88.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
glass status
standard
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-ZF88 (CDGM), H-ZF88: n and k versus wavelength
λ (µm)nk
0.40472.0513443.796237e-06
0.4064772.0491073.493749e-06
0.4082622.0469133.189933e-06
0.4100552.0447592.884783e-06
0.4118562.0426462.578292e-06
0.4136642.0405712.270456e-06
0.4154812.0385331.961268e-06
0.4173052.0365331.650723e-06
0.4191382.0345681.338813e-06
0.422.0336581.192100e-06
0.4209792.0326371.166728e-06
0.4228272.0307411.118798e-06
0.4246842.0288771.070658e-06
0.4265492.0270451.022306e-06
0.4284222.0252459.737418e-07
0.4303042.0234759.249645e-07
0.4321932.0217348.759729e-07
0.4340912.0200238.267663e-07
0.4359972.0183397.773435e-07
0.4379122.0166837.277037e-07
0.4398352.0150546.778459e-07
0.442.0149166.735700e-07
0.4417672.0134526.532104e-07
0.4437072.0118756.308522e-07
0.4456552.0103226.083959e-07
0.4476122.0087955.858409e-07
0.4495782.0072915.631869e-07
0.4515522.005815.404334e-07
0.4535352.0043525.175800e-07
0.4555272.0029174.946263e-07
0.4575272.0015034.715717e-07
0.4595362.0001114.484159e-07
0.461.9997934.430700e-07
0.4615541.9987394.330667e-07
0.4635811.9973884.200208e-07
0.4656171.9960574.069176e-07
0.4676611.9947453.937568e-07
0.4697151.9934533.805383e-07
0.4717781.9921793.672617e-07
0.473851.9909233.539268e-07
0.475931.9896863.405334e-07
0.478021.9884663.270811e-07
0.481.9873313.143400e-07
0.480121.9872633.137808e-07
0.4822281.9860783.039283e-07
0.4843461.9849082.940325e-07
0.4864731.9837552.840932e-07
0.4886091.9826182.741103e-07
0.4907551.9814972.640836e-07
0.492911.9803912.540129e-07
0.4950741.97932.438979e-07
0.4972481.9782232.337385e-07
0.4994321.9771612.235344e-07
0.51.9768882.208800e-07
0.5016251.9761132.167199e-07
0.5038281.9750792.110812e-07
0.5060411.9740592.054176e-07
0.5082631.9730521.997292e-07
0.5104951.9720591.940159e-07
0.5127361.9710781.882774e-07
0.5149881.970111.825137e-07
0.517251.9691541.767247e-07
0.5195211.9682111.709103e-07
0.5218021.967281.650704e-07
0.5240941.966361.592048e-07
0.5263951.9654521.533135e-07
0.5287071.9645561.473963e-07
0.5310291.963671.414531e-07
0.5333611.9627961.354838e-07
0.5357031.9619331.294883e-07
0.5380551.961081.234665e-07
0.5404181.9602371.174182e-07
0.5427911.9594051.113433e-07
0.5451751.9585831.052418e-07
0.5475691.9577719.911351e-08
0.5499741.9569699.295829e-08
0.551.956969.289100e-08
0.5523891.9561769.097613e-08
0.5548151.9553938.903170e-08
0.5572511.954628.707872e-08
0.5596981.9538558.511717e-08
0.5621561.9530998.314700e-08
0.5646251.9523528.116818e-08
0.5671041.9516147.918068e-08
0.5695951.9508857.718444e-08
0.5720961.9501647.517944e-08
0.5746081.9494517.316563e-08
0.5771311.9487477.114298e-08
0.5796661.9480516.911145e-08
0.5822111.9473626.707099e-08
0.5847681.9466826.502158e-08
0.5873361.9460096.296317e-08
0.5899151.9453436.089571e-08
0.5925061.9446865.881918e-08
0.5951081.9440355.673353e-08
0.5977211.9433925.463872e-08
0.61.9428395.281200e-08
0.6003461.9427565.277016e-08
0.6029821.9421275.245126e-08
0.605631.9415055.213097e-08
0.608291.9408895.180927e-08
0.6109611.9402815.148616e-08
0.6136441.9396795.116162e-08
0.6163391.9390835.083567e-08
0.6190451.9384945.050828e-08
0.6217641.9379125.017945e-08
0.6244941.9373354.984918e-08
0.6272371.9367654.951746e-08
0.6299911.9362014.918428e-08
0.6327581.9356434.884964e-08
0.6355361.935094.851353e-08
0.6383271.9345444.817595e-08
0.641131.9340034.783688e-08
0.6439461.9334684.749632e-08
0.6467741.9329384.715427e-08
0.6496141.9324144.681071e-08
0.651.9323444.676400e-08
0.6524671.9318964.638741e-08
0.6553321.9313824.594995e-08
0.658211.9308744.551056e-08
0.66111.9303724.506925e-08
0.6640031.9298744.462600e-08
0.6669191.9293814.418080e-08
0.6698481.9288934.373364e-08
0.6727891.9284114.328452e-08
0.6757441.9279334.283343e-08
0.6787111.927464.238036e-08
0.6816921.9269914.192530e-08
0.6846851.9265274.146824e-08
0.6876921.9260684.100918e-08
0.6907121.9256134.054809e-08
0.6937451.9251634.008499e-08
0.6967921.9247173.961985e-08
0.6998521.9242763.915266e-08
0.71.9242543.913000e-08
0.7029251.9238383.891885e-08
0.7060121.9234053.869602e-08
0.7091121.9229773.847220e-08
0.7122261.9225523.824740e-08
0.7153541.9221313.802161e-08
0.7184951.9217143.779484e-08
0.721651.9213023.756706e-08
0.7248191.9208933.733829e-08
0.7280021.9204883.710851e-08
0.7311991.9200873.687772e-08
0.734411.9196893.664592e-08
0.7376351.9192953.641310e-08
0.7408751.9189053.617926e-08
0.7441281.9185193.594440e-08
0.7473961.9181363.570850e-08
0.7506781.9177563.547156e-08
0.7539741.917383.523358e-08
0.7572851.9170073.499456e-08
0.7606111.9166383.475449e-08
0.7639511.9162723.451337e-08
0.7673061.915913.427119e-08
0.7706751.915553.402794e-08
0.774061.9151943.378362e-08
0.7774591.9148413.353823e-08
0.7808731.9144913.329177e-08
0.7843021.9141443.304422e-08
0.7877461.91383.279559e-08
0.7912061.9134593.254586e-08
0.794681.9131213.229503e-08
0.798171.9127863.204311e-08
0.81.9126123.191100e-08
0.8016751.9124543.197780e-08
0.8051961.9121243.211820e-08
0.8087311.9117983.225921e-08
0.8122831.9114743.240084e-08
0.815851.9111533.254310e-08
0.8194331.9108343.268598e-08
0.8230311.9105183.282948e-08
0.8266451.9102053.297362e-08
0.8302761.9098943.311839e-08
0.8339221.9095863.326379e-08
0.8375841.9092813.340984e-08
0.8412621.9089783.355652e-08
0.8449561.9086773.370385e-08
0.8486671.9083793.385183e-08
0.851.9082733.390500e-08
0.8523931.9080833.365608e-08
0.8561371.9077893.326679e-08
0.8598961.9074983.287578e-08
0.8636721.9072093.248307e-08
0.8674651.9069233.208862e-08
0.8712751.9066383.169245e-08
0.8751011.9063563.129453e-08
0.8789441.9060763.089487e-08
0.8828031.9057983.049345e-08
0.886681.9055223.009027e-08
0.8905741.9052482.968532e-08
0.8944851.9049762.927859e-08
0.8984131.9047072.887008e-08
0.91.9045982.870500e-08
0.9023581.9044392.842246e-08
0.9063211.9041732.794766e-08
0.9103011.9039092.747078e-08
0.9142981.9036472.699180e-08
0.9183131.9033872.651072e-08
0.9223461.9031292.602752e-08
0.9263961.9028722.554221e-08
0.9304641.9026182.505476e-08
0.934551.9023652.456517e-08
0.9386541.9021142.407343e-08
0.9427761.9018652.357953e-08
0.9469161.9016172.308347e-08
0.951.9014342.271400e-08
0.9510751.9013712.256820e-08
0.9552511.9011272.200161e-08
0.9594461.9008842.143253e-08
0.963661.9006432.086095e-08
0.9678911.9004032.028687e-08
0.9721421.9001651.971026e-08
0.9764111.8999291.913112e-08
0.9806991.8996941.854943e-08
0.9850051.899461.796520e-08
0.9893311.8992281.737839e-08
0.9936751.8989981.678901e-08
0.9980391.8987691.619704e-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
1.404691.8836632.297747e-08
1.410861.8834872.386351e-08
1.417051.8833112.475345e-08
1.423281.8831342.564730e-08
1.429531.8829582.654507e-08
1.43581.8827812.744679e-08
1.442111.8826052.835247e-08
1.448441.8824282.926212e-08
1.45481.8822513.017576e-08
1.461191.8820753.109342e-08
1.467611.8818983.201511e-08
1.474051.8817213.294085e-08
1.480531.8815443.387065e-08
1.487031.8813663.480454e-08
1.493561.8811893.574252e-08
1.500121.8810113.668463e-08
1.50671.8808333.763087e-08
1.513321.8806553.858127e-08
1.519971.8804773.953584e-08
1.526641.8802984.049460e-08
1.533341.8801194.145758e-08
1.540081.879944.242478e-08
1.546841.8797614.339623e-08
1.553631.8795814.437194e-08
1.560461.8794014.535194e-08
1.567311.879224.633625e-08
1.574191.8790394.732487e-08
1.58111.8788584.831784e-08
1.588051.8786774.931517e-08
1.595021.8784955.031688e-08
1.61.8783655.103200e-08
1.602031.8783125.168043e-08
1.609061.8781295.393231e-08
1.616131.8779465.619407e-08
1.623221.8777625.846576e-08
1.630351.8775786.074743e-08
1.637511.8773936.303912e-08
1.64471.8772086.534087e-08
1.651931.8770226.765273e-08
1.659181.8768356.997474e-08
1.666471.8766487.230695e-08
1.673781.8764617.464941e-08
1.681131.8762727.700214e-08
1.688521.8760847.936521e-08
1.695931.8758948.173866e-08
1.703381.8757048.412253e-08
1.710861.8755138.651687e-08
1.718371.8753228.892172e-08
1.725921.875139.133714e-08
1.73351.8749379.376316e-08
1.741111.8747439.619983e-08
1.748761.8745499.864721e-08
1.756441.8743531.011053e-07
1.764151.8741571.035742e-07
1.77191.8739611.060540e-07
1.779681.8737631.085447e-07
1.787491.8735641.110462e-07
1.795341.8733651.135588e-07
1.81.8732471.150500e-07
1.803231.8731651.165532e-07
1.811141.8729641.202437e-07
1.81911.8727621.239504e-07
1.827091.8725591.276734e-07
1.835111.8723551.314127e-07
1.843171.872151.351684e-07
1.851261.8719441.389407e-07
1.859391.8717371.427295e-07
1.867561.8715291.465349e-07
1.875761.871321.503571e-07
1.8841.871111.541960e-07
1.892271.8708991.580518e-07
1.900581.8706861.619246e-07
1.908921.8704731.658143e-07
1.917311.8702581.697211e-07
1.925731.8700421.736451e-07
1.934181.8698261.775863e-07
1.942681.8696071.815448e-07
1.951211.8693881.855207e-07
1.959781.8691671.895141e-07
1.968381.8689451.935250e-07
1.977031.8687221.975535e-07
1.985711.8684982.015997e-07
1.994431.8682722.056637e-07
21.8681272.082600e-07
2.003191.8680452.145922e-07
2.011981.8678162.320683e-07
2.020821.8675862.496212e-07
2.029691.8673552.672511e-07
2.038611.8671222.849585e-07
2.047561.8668883.027436e-07
2.056551.8666523.206069e-07
2.065581.8664153.385485e-07
2.074651.8661763.565690e-07
2.083761.8659353.746686e-07
2.092911.8656933.928477e-07
2.10211.865454.111066e-07
2.111341.8652054.294457e-07
2.120611.8649584.478653e-07
2.129921.8647094.663658e-07
2.139271.8644594.849476e-07
2.148671.8642075.036110e-07
2.15811.8639535.223563e-07
2.167581.8636985.411839e-07
2.17711.863445.600942e-07
2.186661.8631815.790876e-07
2.196261.862925.981644e-07
2.21.8628196.055900e-07
2.205911.8626586.190166e-07
2.215591.8623936.410357e-07
2.225321.8621266.631514e-07
2.23511.8618586.853643e-07
2.244911.8615877.076746e-07
2.254771.8613147.300830e-07
2.264671.861047.525898e-07
2.274621.8607637.751954e-07
2.28461.8604847.979003e-07
2.294641.8602038.207049e-07
2.304711.859928.436096e-07
2.314831.8596358.666149e-07
2.3251.8593488.897213e-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
—