Optical constants

Refractive index of H-ZBAF50 (CDGM)

H-ZBAF50: n,k 0.313–2.325 µm

Data
formula 2 + tabulated k
Range
0.313–2.325 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength. Note: k data cover 340-2400 nm only; k = 0 elsewhere in the n range 313-2325 nm.

At one wavelength

Range 0.313–2.325 µm
Refractive index n
1.65844
Extinction coefficient k
4.22739e-08
Permittivity ε1
2.75041
Permittivity ε2
1.40217e-07
Absorption coefficient α
0.00904067 cm⁻¹
Penetration depth δ = λ/(2πk)
2.21222e+09 nm
Abbe number Vd
50.852
Chromatic dispersion dn/dλ
-0.0664412 µm⁻¹
Group index ng
1.69748
Group velocity dispersion
121.217 fs²/mm
Dispersion parameter D
-661.306 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-ZBAF50 (CDGM): H-ZBAF50
cdgm_h_zbaf50 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZBAF50", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zbaf50.range_nm)  # (313, 2325) nm
eps = cdgm_h_zbaf50.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=1.63431974λ2λ2−0.00983161322+0.988379475λ2λ2−102.398826+0.0611984018λ2λ2−0.0499038842

Valid from 0.313 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C21.63431974
C30.00983161322
C40.988379475
C5102.398826
C60.0611984018
C70.0499038842

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -1.31e-06 1.42e-08 -3.27e-11 5.21e-07 3.53e-10 0.234
nd
1.658440
Vd
50.852265
glass code
658509
density
value: 3770
thermal expansion
value: 7.5e-06, temperature range: 243 343; value: 9e-06, temperature range: 293 573
dPgF
-0.0013
resistance
climatic: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.03e-07 K⁻¹ at 633 nm, dn/dT = -5.13e-07 K⁻¹ at 1310 nm, dn/dT = -5.58e-07 K⁻¹ at 1550 nm
Notes on the source data (kept exactly as published):
  • k data cover 340-2400 nm only; k = 0 elsewhere in the n range 313-2325 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 428 wavelengths, the same grid as the API and the library
H-ZBAF50 (CDGM), H-ZBAF50: n and k versus wavelength
λ (µm)nk
0.3131.7147650
0.3145771.7137970
0.3161621.7128480
0.3177551.7119160
0.3193561.7110010
0.3209651.7101020
0.3225821.7092190
0.3242071.7083510
0.3258411.7074990
0.3274831.706660
0.3291331.7058360
0.3307911.7050260
0.3324581.7042290
0.3341331.7034450
0.3358161.7026730
0.3375081.7019140
0.3392091.7011670
0.341.7008258.105400e-06
0.3409181.7004327.678002e-06
0.3426351.6997086.877960e-06
0.3443621.6989966.073886e-06
0.3460971.6982945.265761e-06
0.347841.6976034.453565e-06
0.3495931.6969233.637276e-06
0.351.6967663.447700e-06
0.3513541.6962523.192103e-06
0.3531251.6955922.858019e-06
0.3549041.6949412.522252e-06
0.3566921.69432.184793e-06
0.3584891.6936681.845634e-06
0.361.6931471.560500e-06
0.3602951.6930461.536019e-06
0.3621111.6924321.385541e-06
0.3639351.6918271.234305e-06
0.3657691.6912311.082306e-06
0.3676121.6906439.295418e-07
0.3694641.6900637.760078e-07
0.371.6898977.315600e-07
0.3713251.6894916.858370e-07
0.3731961.6889276.212915e-07
0.3750761.6883715.564208e-07
0.3769661.6878234.912233e-07
0.3788661.6872824.256973e-07
0.381.6869633.865600e-07
0.3807741.6867483.745830e-07
0.3826931.6862223.449135e-07
0.3846211.6857023.150945e-07
0.3865591.6851892.851253e-07
0.3885071.6846842.550051e-07
0.391.6843022.319100e-07
0.3904641.6841852.281042e-07
0.3924311.6836922.119702e-07
0.3944091.6832061.957550e-07
0.3963961.6827261.794581e-07
0.3983931.6822521.630791e-07
0.41.6818771.499000e-07
0.40041.6817851.486622e-07
0.4024181.6813231.424232e-07
0.4044451.6808671.361529e-07
0.4064831.6804171.298509e-07
0.4085311.6799731.235172e-07
0.4105891.6795351.171516e-07
0.4126581.6791011.107539e-07
0.4147371.6786741.043240e-07
0.4168271.6782519.786163e-08
0.4189271.6778349.136675e-08
0.421.6776248.804800e-08
0.4210381.6774228.733543e-08
0.4231591.6770158.587859e-08
0.4252911.6766138.441441e-08
0.4274341.6762168.294286e-08
0.4295871.6758238.146388e-08
0.4317521.6754367.997746e-08
0.4339271.6750537.848355e-08
0.4361131.6746757.698211e-08
0.4383111.6743017.547311e-08
0.441.6740187.431300e-08
0.4405191.6739327.410995e-08
0.4427391.6735677.324179e-08
0.4449691.6732067.236925e-08
0.4472111.672857.149232e-08
0.4494641.6724977.061097e-08
0.4517291.6721496.972518e-08
0.4540051.6718056.883493e-08
0.4562921.6714656.794019e-08
0.4585911.6711296.704094e-08
0.461.6709266.649000e-08
0.4609021.6707976.609491e-08
0.4632241.6704696.507778e-08
0.4655581.6701456.405553e-08
0.4679041.6698246.302813e-08
0.4702611.6695076.199555e-08
0.4726311.6691936.095777e-08
0.4750121.6688835.991476e-08
0.4774051.6685775.886649e-08
0.4798111.6682745.781295e-08
0.481.668255.773000e-08
0.4822281.6679745.664993e-08
0.4846581.6676785.547215e-08
0.48711.6673855.428844e-08
0.4895541.6670955.309877e-08
0.492021.6668095.190310e-08
0.4944991.6665255.070141e-08
0.4969911.6662454.949366e-08
0.4994951.6659684.827983e-08
0.51.6659134.803500e-08
0.5020121.6656944.769440e-08
0.5045411.6654234.726613e-08
0.5070831.6651554.683571e-08
0.5096381.664894.640312e-08
0.5122061.6646274.596834e-08
0.5147861.6643684.553138e-08
0.517381.6641114.509221e-08
0.5199871.6638574.465084e-08
0.5226071.6636064.420724e-08
0.525241.6633584.376140e-08
0.5278861.6631124.331332e-08
0.5305461.6628694.286298e-08
0.5332191.6626284.241037e-08
0.5359061.662394.195548e-08
0.5386061.6621544.149830e-08
0.5413191.6619214.103881e-08
0.5440471.661694.057701e-08
0.5467881.6614624.011288e-08
0.5495431.6612363.964642e-08
0.551.6611993.956900e-08
0.5523121.6610133.973529e-08
0.5550941.6607913.993549e-08
0.5578911.6605724.013669e-08
0.5607021.6603554.033890e-08
0.5635271.6601414.054214e-08
0.5663661.6599294.074639e-08
0.569221.6597184.095168e-08
0.5720881.659514.115800e-08
0.574971.6593044.136536e-08
0.5778671.6591014.157376e-08
0.5807791.6588994.178322e-08
0.5837051.6586994.199373e-08
0.5866461.6585014.220530e-08
0.5896021.6583054.241794e-08
0.5925721.6581114.263165e-08
0.5955581.6579194.284643e-08
0.5985581.6577294.306230e-08
0.61.6576394.316600e-08
0.6015741.6575414.327928e-08
0.6046051.6573544.349739e-08
0.6076511.657174.371660e-08
0.6107131.6569874.393691e-08
0.613791.6568064.415833e-08
0.6168831.6566274.438087e-08
0.6199911.6564494.460453e-08
0.6231141.6562734.482932e-08
0.6262541.6560994.505523e-08
0.6294091.6559264.528229e-08
0.632581.6557554.551049e-08
0.6357681.6555864.573984e-08
0.6389711.6554184.597035e-08
0.642191.6552524.620201e-08
0.6454261.6550874.643485e-08
0.6486781.6549244.666886e-08
0.651.6548584.676400e-08
0.6519461.6547634.668534e-08
0.6552311.6546024.655257e-08
0.6585321.6544444.641913e-08
0.661851.6542864.628502e-08
0.6651851.6541314.615023e-08
0.6685361.6539764.601476e-08
0.6719051.6538234.587862e-08
0.675291.6536714.574178e-08
0.6786921.6535214.560426e-08
0.6821121.6533724.546604e-08
0.6855491.6532244.532713e-08
0.6890031.6530784.518751e-08
0.6924741.6529334.504720e-08
0.6959631.6527894.490617e-08
0.699471.6526464.476444e-08
0.71.6526254.474300e-08
0.7029941.6525054.455047e-08
0.7065361.6523644.432268e-08
0.7100961.6522254.409375e-08
0.7136731.6520884.386367e-08
0.7172691.6519514.363243e-08
0.7208831.6518154.340002e-08
0.7245151.6516814.316644e-08
0.7281651.6515474.293168e-08
0.7318341.6514154.269574e-08
0.7355221.6512844.245861e-08
0.7392271.6511544.222029e-08
0.7429521.6510254.198076e-08
0.7466951.6508964.174003e-08
0.7504571.6507694.149809e-08
0.7542381.6506434.125493e-08
0.7580391.6505184.101054e-08
0.7618581.6503944.076492e-08
0.7656961.6502714.051806e-08
0.7695541.6501494.026996e-08
0.7734321.6500274.002061e-08
0.7773281.6499073.977001e-08
0.7812451.6497873.951814e-08
0.7851811.6496693.926500e-08
0.7891371.6495513.901059e-08
0.7931131.6494343.875489e-08
0.7971091.6493183.849791e-08
0.81.6492353.831200e-08
0.8011251.6492033.805990e-08
0.8051621.6490883.715566e-08
0.8092181.6489753.624688e-08
0.8132961.6488623.533351e-08
0.8173931.648753.441554e-08
0.8215121.6486383.349295e-08
0.8256511.6485283.256571e-08
0.8298111.6484183.163380e-08
0.8339921.6483093.069719e-08
0.8381941.64822.975586e-08
0.8424171.6480932.880979e-08
0.8466611.6479862.785895e-08
0.851.6479022.711100e-08
0.8509271.6478792.687418e-08
0.8552141.6477742.577894e-08
0.8595231.6476692.467819e-08
0.8638541.6475642.357189e-08
0.8682061.647462.246002e-08
0.8725811.6473572.134254e-08
0.8769771.6472552.021944e-08
0.8813961.6471531.909067e-08
0.8858361.6470511.795622e-08
0.89031.646951.681605e-08
0.8947851.646851.567014e-08
0.8992941.6467511.451846e-08
0.91.6467351.433800e-08
0.9038251.6466511.439896e-08
0.9083781.6465531.447155e-08
0.9129551.6464551.454451e-08
0.9175551.6463571.461783e-08
0.9221781.646261.469152e-08
0.9268241.6461631.476558e-08
0.9314941.6460671.484001e-08
0.9361871.6459711.491483e-08
0.9409041.6458761.499001e-08
0.9456451.6457811.506558e-08
0.951.6456951.513500e-08
0.9504091.6456871.514152e-08
0.9551981.6455931.521775e-08
0.9600111.6454991.529437e-08
0.9648471.6454061.537137e-08
0.9697091.6453131.544876e-08
0.9745951.6452211.552654e-08
0.9795051.6451291.560472e-08
0.984441.6450371.568329e-08
0.98941.6449461.576225e-08
0.9943851.6448551.584161e-08
0.9993951.6447641.592137e-08
11.6447531.593100e-08
1.004431.6446741.600159e-08
1.009491.6445841.608223e-08
1.014581.6444941.616327e-08
1.019691.6444041.624472e-08
1.024831.6443151.632657e-08
1.029991.6442261.640885e-08
1.035181.6441371.649153e-08
1.04041.6440491.657463e-08
1.045641.6439611.665816e-08
1.050911.6438731.674210e-08
1.05621.6437851.682646e-08
1.061.6437231.688700e-08
1.061521.6436981.691126e-08
1.066871.643611.699649e-08
1.072251.6435231.708215e-08
1.077651.6434361.716824e-08
1.083081.6433491.725476e-08
1.088531.6432631.734172e-08
1.094021.6431761.742912e-08
1.099531.643091.751696e-08
1.105071.6430041.760524e-08
1.110641.6429171.769397e-08
1.116231.6428311.778314e-08
1.121861.6427461.787277e-08
1.127511.642661.796284e-08
1.133191.6425741.805337e-08
1.13891.6424891.814435e-08
1.144641.6424031.823580e-08
1.150411.6423181.832770e-08
1.15621.6422321.842007e-08
1.162031.6421471.851290e-08
1.167881.6420611.860620e-08
1.173771.6419761.869997e-08
1.179681.6418911.879421e-08
1.185631.6418051.888893e-08
1.19161.641721.898412e-08
1.19761.6416351.907980e-08
1.21.6416011.911800e-08
1.203641.6415491.978579e-08
1.20971.6414642.089940e-08
1.21581.6413782.201861e-08
1.221921.6412932.314347e-08
1.228081.6412072.427399e-08
1.234271.6411222.541021e-08
1.240481.6410362.655215e-08
1.246731.640952.769985e-08
1.253021.6408642.885333e-08
1.259331.6407783.001262e-08
1.265671.6406923.117775e-08
1.272051.6406063.234875e-08
1.278461.6405193.352566e-08
1.28491.6404333.470849e-08
1.291381.6403463.589728e-08
1.297881.6402593.709206e-08
1.304421.6401723.829286e-08
1.310991.6400853.949971e-08
1.31761.6399974.071264e-08
1.324241.639914.193169e-08
1.330911.6398224.315687e-08
1.337611.6397344.438823e-08
1.344351.6396464.562579e-08
1.351131.6395574.686959e-08
1.357941.6394684.811965e-08
1.364781.6393794.937601e-08
1.371651.639295.063871e-08
1.378561.63925.190776e-08
1.385511.639115.318321e-08
1.392491.639025.446508e-08
1.399511.6389295.575342e-08
1.41.6389235.584400e-08
1.406561.6388395.694561e-08
1.413641.6387475.813605e-08
1.420771.6386565.933249e-08
1.427931.6385646.053495e-08
1.435121.6384726.174348e-08
1.442351.6383796.295809e-08
1.449621.6382866.417882e-08
1.456921.6381936.540571e-08
1.464261.6380996.663877e-08
1.471641.6380056.787805e-08
1.479051.637916.912357e-08
1.486511.6378157.037537e-08
1.4941.6377197.163347e-08
1.501521.6376237.289792e-08
1.509091.6375277.416873e-08
1.516691.637437.544595e-08
1.524331.6373327.672960e-08
1.532011.6372347.801972e-08
1.539731.6371367.931634e-08
1.547491.6370378.061949e-08
1.555291.6369378.192921e-08
1.563121.6368378.324552e-08
1.5711.6367378.456847e-08
1.578911.6366368.589809e-08
1.586871.6365348.723440e-08
1.594871.6364318.857745e-08
1.61.6363668.944000e-08
1.60291.6363289.191634e-08
1.610981.6362259.881086e-08
1.619091.6361211.057401e-07
1.627251.6360161.127043e-07
1.635451.635911.197035e-07
1.643691.6358041.267381e-07
1.651971.6356971.338080e-07
1.660291.635591.409136e-07
1.668661.6354811.480550e-07
1.677071.6353721.552324e-07
1.685521.6352631.624459e-07
1.694011.6351521.696958e-07
1.702541.6350411.769822e-07
1.711121.6349291.843053e-07
1.719741.6348161.916653e-07
1.728411.6347031.990624e-07
1.737121.6345882.064968e-07
1.745871.6344732.139686e-07
1.754671.6343572.214781e-07
1.763511.634242.290254e-07
1.772391.6341222.366107e-07
1.781321.6340042.442343e-07
1.79031.6338842.518962e-07
1.799321.6337642.595968e-07
1.81.6337552.601800e-07
1.808381.6336432.730404e-07
1.817491.633522.870191e-07
1.826651.6333973.010681e-07
1.835851.6332733.151880e-07
1.84511.6331483.293790e-07
1.85441.6330223.436414e-07
1.863741.6328943.579758e-07
1.873131.6327663.723823e-07
1.882571.6326373.868615e-07
1.892061.6325074.014136e-07
1.901591.6323754.160390e-07
1.911171.6322434.307381e-07
1.92081.6321094.455113e-07
1.930481.6319754.603589e-07
1.94021.6318394.752813e-07
1.949981.6317024.902789e-07
1.95981.6315645.053521e-07
1.969681.6314245.205012e-07
1.97961.6312845.357266e-07
1.989581.6311425.510287e-07
1.99961.6309995.664080e-07
21.6309935.670200e-07
2.009681.6308556.157515e-07
2.01981.6307096.667478e-07
2.029981.6305627.180010e-07
2.040211.6304147.695124e-07
2.050491.6302658.212834e-07
2.060821.6301148.733152e-07
2.07121.6299629.256092e-07
2.081641.6298089.781667e-07
2.092121.6296531.030989e-06
2.102661.6294971.084077e-06
2.113261.6293391.137433e-06
2.123911.6291791.191058e-06
2.134611.6290181.244953e-06
2.145361.6288561.299119e-06
2.156171.6286921.353559e-06
2.167031.6285261.408272e-06
2.177951.6283591.463262e-06
2.188931.6281911.518528e-06
2.199951.628021.574073e-06
2.21.628021.574300e-06
2.211041.6278481.696602e-06
2.222181.6276751.820023e-06
2.233381.6274991.944066e-06
2.244631.6273222.068734e-06
2.255941.6271432.194030e-06
2.26731.6269632.319957e-06
2.278731.626782.446519e-06
2.290211.6265962.573719e-06
2.301751.626412.701559e-06
2.313341.6262222.830043e-06
2.3251.6260332.959175e-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
—