Optical constants

Refractive index of H-ZF11 (CDGM)

H-ZF11: 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
1.69894
Extinction coefficient k
2.09233e-08
Permittivity ε1
2.88638
Permittivity ε2
7.10948e-08
Absorption coefficient α
0.00447465 cm⁻¹
Penetration depth δ = λ/(2πk)
4.46962e+09 nm
Abbe number Vd
30.05
Chromatic dispersion dn/dλ
-0.116997 µm⁻¹
Group index ng
1.76768
Group velocity dispersion
235.485 fs²/mm
Dispersion parameter D
-1284.69 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-ZF11 (CDGM): H-ZF11
cdgm_h_zf11 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZF11", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zf11.range_nm)  # (365, 2325) nm
eps = cdgm_h_zf11.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=1.59868051λ2λ2−0.0126057844+0.189448887λ2λ2−0.0617894718+1.26870155λ2λ2−121.376823

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C21.59868051
C30.0126057844
C40.189448887
C50.0617894718
C61.26870155
C7121.376823

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -5.39e-06 1.28e-08 -5.25e-11 9.07e-07 9.29e-10 0.278
nd
1.698940
Vd
30.050450
glass code
699301
density
value: 2950
thermal expansion
value: 9e-06, temperature range: 243 343; value: 1.13e-05, temperature range: 293 573
dPgF
0.0084
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -1.43e-06 K⁻¹ at 633 nm, dn/dT = -2.59e-06 K⁻¹ at 1310 nm, dn/dT = -2.66e-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 425 wavelengths, the same grid as the API and the library
H-ZF11 (CDGM), H-ZF11: n and k versus wavelength
λ (µm)nk
0.3651.7656956.275750e-06
0.3666981.7644155.117470e-06
0.3684031.763163.953802e-06
0.371.7620112.864500e-06
0.3701171.7619282.842376e-06
0.3718381.7607182.516652e-06
0.3735681.7595312.189414e-06
0.3753061.7583651.860654e-06
0.3770511.757221.530364e-06
0.3788051.7560951.198538e-06
0.381.7553439.724500e-07
0.3805671.754999.408092e-07
0.3823371.7539048.420299e-07
0.3841161.7528367.427912e-07
0.3859021.7517876.430908e-07
0.3876971.7507565.429268e-07
0.38951.7497424.422968e-07
0.391.7494644.144200e-07
0.3913121.7487443.894553e-07
0.3931321.7477633.548256e-07
0.3949611.7467983.200349e-07
0.3967981.7458492.850824e-07
0.3986441.7449142.499673e-07
0.41.744242.241600e-07
0.4004981.7439952.212003e-07
0.4023611.743092.101248e-07
0.4042321.7421991.989977e-07
0.4061121.7413231.878188e-07
0.4080011.7404591.765880e-07
0.4098991.7396091.653050e-07
0.4118061.7387721.539694e-07
0.4137211.7379471.425811e-07
0.4156451.7371351.311399e-07
0.4175791.7363351.196454e-07
0.4195211.7355471.080975e-07
0.421.7353551.052500e-07
0.4214721.734771.032358e-07
0.4234331.7340051.005541e-07
0.4254021.733259.785988e-08
0.4273811.7325079.515314e-08
0.4293691.7317749.243380e-08
0.4313661.7310518.970182e-08
0.4333721.7303398.695713e-08
0.4353881.7296378.419967e-08
0.4374131.7289448.142939e-08
0.4394481.7282627.864622e-08
0.441.7280797.789100e-08
0.4414921.7275887.648500e-08
0.4435451.7269247.454976e-08
0.4456091.7262697.260552e-08
0.4476811.7256237.065223e-08
0.4497641.7249856.868986e-08
0.4518561.7243566.671836e-08
0.4539571.7237366.473769e-08
0.4560691.7231236.274781e-08
0.458191.7225196.074867e-08
0.461.7220125.904300e-08
0.4603211.7219235.883531e-08
0.4624621.7213345.745119e-08
0.4646131.7207535.606064e-08
0.4667751.720185.466361e-08
0.4689461.7196145.326009e-08
0.4711271.7190555.185004e-08
0.4733181.7185035.043343e-08
0.475521.7179594.901023e-08
0.4777321.7174214.758042e-08
0.4799541.716894.614395e-08
0.481.7168794.611400e-08
0.4821861.7163654.544451e-08
0.4844291.7158484.475765e-08
0.4866821.7153364.406759e-08
0.4889461.7148314.337433e-08
0.491221.7143324.267784e-08
0.4935051.7138394.197811e-08
0.49581.7133534.127513e-08
0.4981071.7128724.056888e-08
0.51.7124833.998900e-08
0.5004231.7123973.987343e-08
0.5027511.7119273.923803e-08
0.5050891.7114643.859967e-08
0.5074391.7110053.795835e-08
0.5097991.7105533.731405e-08
0.512171.7101053.666675e-08
0.5145531.7096633.601643e-08
0.5169461.7092263.536309e-08
0.519351.7087943.470672e-08
0.5217661.7083683.404729e-08
0.5241931.7079463.338479e-08
0.5266311.7075293.271921e-08
0.5290811.7071173.205054e-08
0.5315421.7067093.137875e-08
0.5340141.7063063.070384e-08
0.5364981.7059083.002580e-08
0.5389931.7055152.934459e-08
0.54151.7051252.866022e-08
0.5440191.7047412.797267e-08
0.5465491.704362.728192e-08
0.5490921.7039842.658795e-08
0.551.7038512.634000e-08
0.5516461.7036122.610292e-08
0.5542121.7032442.573328e-08
0.5567891.702882.536192e-08
0.5593791.702522.498883e-08
0.5619811.7021642.461401e-08
0.5645951.7018122.423744e-08
0.5672211.7014642.385912e-08
0.5698591.701122.347904e-08
0.572511.7007792.309720e-08
0.5751731.7004422.271358e-08
0.5778481.7001082.232817e-08
0.5805361.6997792.194097e-08
0.5832361.6994522.155197e-08
0.5859491.699132.116116e-08
0.5886751.698812.076853e-08
0.5914131.6984942.037408e-08
0.5941641.6981811.997779e-08
0.5969271.6978721.957966e-08
0.5997041.6975661.917968e-08
0.61.6975341.913700e-08
0.6024931.6972631.921653e-08
0.6052961.6969631.930593e-08
0.6081111.6966661.939574e-08
0.610941.6963731.948597e-08
0.6137811.6960821.957662e-08
0.6166361.6957941.966769e-08
0.6195041.695511.975919e-08
0.6223861.6952281.985111e-08
0.6252811.6949491.994346e-08
0.6281891.6946732.003623e-08
0.6311111.6943992.012944e-08
0.6340471.6941292.022308e-08
0.6369961.6938612.031716e-08
0.6399591.6935952.041168e-08
0.6429351.6933332.050663e-08
0.6459261.6930732.060203e-08
0.648931.6928152.069787e-08
0.651.6927242.073200e-08
0.6519491.692562.079412e-08
0.6549811.6923082.089079e-08
0.6580281.6920582.098792e-08
0.6610881.691812.108549e-08
0.6641631.6915652.118352e-08
0.6672521.6913222.128201e-08
0.6703561.6910822.138095e-08
0.6734741.6908432.148035e-08
0.6766071.6906072.158022e-08
0.6797541.6903742.168055e-08
0.6829151.6901422.178135e-08
0.6860921.6899132.188261e-08
0.6892831.6896862.198435e-08
0.6924891.6894612.208656e-08
0.695711.6892382.218924e-08
0.6989461.6890172.229241e-08
0.71.6889462.232600e-08
0.7021971.6887982.211548e-08
0.7054631.6885812.180255e-08
0.7087451.6883662.148816e-08
0.7120411.6881542.117232e-08
0.7153531.6879432.085500e-08
0.7186811.6877342.053621e-08
0.7220231.6875262.021593e-08
0.7253821.6873211.989417e-08
0.7287561.6871181.957090e-08
0.7321461.6869161.924614e-08
0.7355511.6867161.891986e-08
0.7389721.6865181.859207e-08
0.7424091.6863221.826275e-08
0.7458631.6861271.793190e-08
0.7493321.6859341.759951e-08
0.7528171.6857431.726557e-08
0.7563191.6855531.693009e-08
0.7598371.6853651.659304e-08
0.7633711.6851791.625442e-08
0.7669221.6849941.591423e-08
0.7704891.684811.557245e-08
0.7740731.6846291.522909e-08
0.7776731.6844481.488413e-08
0.781291.684271.453756e-08
0.7849241.6840921.418939e-08
0.7885751.6839171.383959e-08
0.7922431.6837421.348817e-08
0.7959281.6835691.313511e-08
0.799631.6833981.278041e-08
0.81.6833811.274500e-08
0.803351.6832281.279840e-08
0.8070861.6830591.285796e-08
0.810841.6828911.291780e-08
0.8146121.6827251.297791e-08
0.8184011.682561.303831e-08
0.8222081.6823971.309899e-08
0.8260321.6822341.315995e-08
0.8298741.6820731.322119e-08
0.8337341.6819131.328272e-08
0.8376121.6817551.334454e-08
0.8415081.6815971.340664e-08
0.8454221.6814411.346903e-08
0.8493551.6812861.353171e-08
0.851.6812611.354200e-08
0.8533051.6811321.359462e-08
0.8572741.6809791.365781e-08
0.8612621.6808281.372129e-08
0.8652681.6806771.378506e-08
0.8692921.6805271.384913e-08
0.8733361.6803791.391350e-08
0.8773981.6802321.397817e-08
0.8814791.6800851.404315e-08
0.8855791.679941.410842e-08
0.8896981.6797961.417399e-08
0.8938361.6796521.423988e-08
0.8979941.679511.430606e-08
0.91.6794421.433800e-08
0.9021711.6793681.437260e-08
0.9063671.6792281.443949e-08
0.9105831.6790881.450669e-08
0.9148181.678951.457420e-08
0.9190731.6788121.464203e-08
0.9233481.6786751.471017e-08
0.9276431.6785391.477863e-08
0.9319581.6784041.484741e-08
0.9362931.678271.491651e-08
0.9406481.6781361.498593e-08
0.9450231.6780041.505567e-08
0.9494191.6778721.512573e-08
0.951.6778541.513500e-08
0.9538351.6777411.519605e-08
0.9582711.677611.526668e-08
0.9627291.6774811.533764e-08
0.9672071.6773521.540893e-08
0.9717051.6772241.548055e-08
0.9762251.6770971.555250e-08
0.9807661.676971.562479e-08
0.9853281.6768441.569742e-08
0.9899111.6767191.577038e-08
0.9945151.6765941.584368e-08
0.9991411.6764711.591732e-08
11.6764481.593100e-08
1.003791.6763471.599136e-08
1.008461.6762251.606575e-08
1.013151.6761031.614049e-08
1.017861.6759811.621558e-08
1.022591.6758611.629101e-08
1.027351.675741.636680e-08
1.032131.6756211.644293e-08
1.036931.6755021.651943e-08
1.041751.6753831.659628e-08
1.04661.6752651.667348e-08
1.051471.6751481.675105e-08
1.056361.6750311.682897e-08
1.061.6749441.688700e-08
1.061271.6749141.690726e-08
1.066211.6747991.698593e-08
1.071171.6746831.706496e-08
1.076151.6745681.714435e-08
1.081151.6744541.722412e-08
1.086181.674341.730426e-08
1.091241.6742261.738477e-08
1.096311.6741131.746565e-08
1.101411.6741.754691e-08
1.106531.6738871.762855e-08
1.111681.6737751.771057e-08
1.116851.6736641.779297e-08
1.122051.6735531.787576e-08
1.127271.6734421.795892e-08
1.132511.6733311.804248e-08
1.137781.6732211.812642e-08
1.143071.6731111.821076e-08
1.148391.6730021.829549e-08
1.153731.6728921.838061e-08
1.159091.6727831.846612e-08
1.164481.6726751.855204e-08
1.16991.6725661.863835e-08
1.175341.6724581.872507e-08
1.180811.672351.881219e-08
1.18631.6722431.889971e-08
1.191821.6721351.898764e-08
1.197361.6720281.907598e-08
1.21.6719781.911800e-08
1.202931.6719211.998522e-08
1.208531.6718152.163979e-08
1.214151.6717082.330205e-08
1.21981.6716022.497205e-08
1.225471.6714962.664981e-08
1.231171.6713892.833538e-08
1.23691.6712843.002878e-08
1.242651.6711783.173007e-08
1.248431.6710723.343926e-08
1.254241.6709673.515641e-08
1.260071.6708613.688154e-08
1.265931.6707563.861470e-08
1.271821.6706514.035592e-08
1.277741.6705464.210524e-08
1.283681.6704414.386269e-08
1.289651.6703364.562832e-08
1.295651.6702314.740217e-08
1.301671.6701264.918426e-08
1.307731.6700215.097464e-08
1.313811.6699175.277335e-08
1.319921.6698125.458043e-08
1.326061.6697075.639591e-08
1.332231.6696025.821983e-08
1.338431.6694976.005224e-08
1.344651.6693936.189318e-08
1.350911.6692886.374267e-08
1.357191.6691836.560077e-08
1.36351.6690786.746751e-08
1.369851.6689736.934293e-08
1.376221.6688687.122708e-08
1.382621.6687637.311999e-08
1.389051.6686577.502171e-08
1.395511.6685527.693227e-08
1.41.6684797.826000e-08
1.4021.6684467.875725e-08
1.408521.6683418.037776e-08
1.415071.6682358.200580e-08
1.421661.6681298.364143e-08
1.428271.6680238.528465e-08
1.434911.6679178.693553e-08
1.441591.667818.859408e-08
1.448291.6677049.026034e-08
1.455031.6675979.193436e-08
1.46181.667499.361616e-08
1.468591.6673829.530578e-08
1.475431.6672759.700327e-08
1.482291.6671679.870865e-08
1.489181.6670591.004220e-07
1.496111.6669511.021432e-07
1.503071.6668431.038725e-07
1.510061.6667341.056099e-07
1.517081.6666251.073553e-07
1.524141.6665151.091088e-07
1.531231.6664061.108705e-07
1.538351.6662961.126404e-07
1.545511.6661851.144185e-07
1.55271.6660751.162049e-07
1.559921.6659641.179995e-07
1.567171.6658521.198026e-07
1.574461.6657411.216140e-07
1.581791.6656291.234339e-07
1.589141.6655161.252622e-07
1.596541.6654031.270990e-07
1.61.665351.279600e-07
1.603961.665291.346525e-07
1.611421.6651761.472571e-07
1.618921.6650621.599203e-07
1.626451.6649471.726425e-07
1.634011.6648321.854238e-07
1.641611.6647161.982645e-07
1.649251.66462.111650e-07
1.656921.6644842.241255e-07
1.664631.6643662.371463e-07
1.672371.6642492.502276e-07
1.680151.6641312.633698e-07
1.687961.6640122.765731e-07
1.695811.6638932.898378e-07
1.70371.6637733.031643e-07
1.711631.6636533.165527e-07
1.719591.6635323.300034e-07
1.727591.663413.435166e-07
1.735621.6632883.570927e-07
1.743691.6631653.707320e-07
1.751811.6630423.844346e-07
1.759951.6629173.982011e-07
1.768141.6627934.120315e-07
1.776361.6626674.259263e-07
1.784631.6625414.398857e-07
1.792931.6624144.539101e-07
1.81.6623064.658600e-07
1.801271.6622874.686113e-07
1.809641.6621584.868127e-07
1.818061.6620295.050987e-07
1.826521.66195.234699e-07
1.835011.6617695.419264e-07
1.843551.6616385.604689e-07
1.852121.6615065.790975e-07
1.860741.6613735.978128e-07
1.869391.6612396.166152e-07
1.878091.6611056.355050e-07
1.886821.6609696.544827e-07
1.89561.6608336.735487e-07
1.904421.6606966.927033e-07
1.913281.6605587.119470e-07
1.922181.6604197.312803e-07
1.931121.660287.507034e-07
1.94011.6601397.702169e-07
1.949121.6599977.898212e-07
1.958191.6598558.095167e-07
1.96731.6597118.293037e-07
1.976451.6595668.491828e-07
1.985641.6594218.691544e-07
1.994881.6592748.892189e-07
21.6591939.003500e-07
2.004161.6591279.244380e-07
2.013481.6589789.784798e-07
2.022841.6588281.032773e-06
2.032251.6586771.087319e-06
2.04171.6585261.142118e-06
2.05121.6583731.197173e-06
2.060741.6582181.252483e-06
2.070331.6580631.308051e-06
2.079961.6579071.363877e-06
2.089631.6577491.419963e-06
2.099351.657591.476310e-06
2.109121.657431.532919e-06
2.118931.6572691.589791e-06
2.128781.6571071.646927e-06
2.138681.6569431.704330e-06
2.148631.6567781.761999e-06
2.158621.6566121.819937e-06
2.168671.6564441.878144e-06
2.178751.6562751.936622e-06
2.188891.6561051.995372e-06
2.199071.6559332.054395e-06
2.21.6559172.059800e-06
2.20931.655762.120951e-06
2.219571.6555862.188547e-06
2.22991.655412.256458e-06
2.240271.6552322.324685e-06
2.250691.6550542.393230e-06
2.261161.6548732.462093e-06
2.271671.6546922.531276e-06
2.282241.6545082.600781e-06
2.292861.6543232.670610e-06
2.303521.6541372.740763e-06
2.314241.6539492.811243e-06
2.3251.6537592.882050e-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
—