Optical constants

Refractive index of H-ZBAF20 (CDGM)

H-ZBAF20: 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
1.70154
Extinction coefficient k
9.36134e-09
Permittivity ε1
2.89523
Permittivity ε2
3.18573e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
41.148
Chromatic dispersion dn/dλ
-0.0867561 µm⁻¹
Group index ng
1.75251
Group velocity dispersion
165.545 fs²/mm
Dispersion parameter D
-903.138 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-ZBAF20 (CDGM): H-ZBAF20
cdgm_h_zbaf20 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZBAF20", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zbaf20.range_nm)  # (365, 2325) nm
eps = cdgm_h_zbaf20.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=0.155463018λ2λ2−0.050049662+1.22204789λ2λ2−119.801735+1.6661164λ2λ2−0.0102206327

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.155463018
C30.050049662
C41.22204789
C5119.801735
C61.6661164
C70.0102206327

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 3.06e-06 2.07e-08 -8.31e-12 7.29e-07 -1.31e-10 0.25
nd
1.701540
Vd
41.148468
glass code
702412
density
value: 3640
thermal expansion
value: 6.9e-06, temperature range: 243 343; value: 8.5e-06, temperature range: 293 573
dPgF
0.0004
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 2.89e-06 K⁻¹ at 633 nm, dn/dT = 1.90e-06 K⁻¹ at 1310 nm, dn/dT = 1.82e-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-ZBAF20 (CDGM), H-ZBAF20: n and k versus wavelength
λ (µm)nk
0.3651.7470571.543180e-06
0.3666981.7462631.320227e-06
0.3684031.7454811.096236e-06
0.371.7447628.865600e-07
0.3701171.744718.810769e-07
0.3718381.7439518.003523e-07
0.3735681.7432027.192523e-07
0.3753061.7424656.377750e-07
0.3770511.7417385.559188e-07
0.3788051.7410224.736818e-07
0.381.7405414.176500e-07
0.3805671.7403154.069284e-07
0.3823371.7396193.734568e-07
0.3841161.7389323.398295e-07
0.3859021.7382553.060457e-07
0.3876971.7375872.721049e-07
0.38951.7369282.380061e-07
0.391.7367482.285600e-07
0.3913121.7362792.182387e-07
0.3931321.7356382.039216e-07
0.3949611.7350061.895380e-07
0.3967981.7343821.750874e-07
0.3986441.7337671.605696e-07
0.41.7333221.499000e-07
0.4004981.733161.481047e-07
0.4023611.7325611.413863e-07
0.4042321.731971.346367e-07
0.4061121.7313861.278557e-07
0.4080011.730811.210432e-07
0.4098991.7302421.141989e-07
0.4118061.7296811.073229e-07
0.4137211.7291271.004148e-07
0.4156451.728589.347463e-08
0.4175791.728048.650217e-08
0.4195211.7275077.949727e-08
0.421.7273777.777000e-08
0.4214721.7269817.620234e-08
0.4234331.7264617.411509e-08
0.4254021.7259487.201814e-08
0.4273811.7254416.991143e-08
0.4293691.724946.779492e-08
0.4313661.7244466.566857e-08
0.4333721.7239576.353233e-08
0.4353881.7234756.138615e-08
0.4374131.7229985.922999e-08
0.4394481.7225275.706380e-08
0.441.7224015.647600e-08
0.4414921.7220625.555965e-08
0.4435451.7216035.429838e-08
0.4456091.7211495.303124e-08
0.4476811.72075.175820e-08
0.4497641.7202575.047925e-08
0.4518561.7198194.919434e-08
0.4539571.7193864.790346e-08
0.4560691.7189584.660657e-08
0.458191.7185354.530365e-08
0.461.718184.419200e-08
0.4603211.7181174.397496e-08
0.4624621.7177044.252854e-08
0.4646131.7172964.107539e-08
0.4667751.7168923.961548e-08
0.4689461.7164933.814877e-08
0.4711271.7160993.667525e-08
0.4733181.7157093.519487e-08
0.475521.7153233.370761e-08
0.4777321.7149423.221343e-08
0.4799541.7145663.071230e-08
0.481.7145583.068100e-08
0.4821861.7141932.950739e-08
0.4844291.7138252.830334e-08
0.4866821.713462.709369e-08
0.4889461.71312.587841e-08
0.491221.7127442.465748e-08
0.4935051.7123912.343087e-08
0.49581.7120432.219856e-08
0.4981071.7116982.096051e-08
0.51.7114191.994400e-08
0.5004231.7113581.984932e-08
0.5027511.711021.932878e-08
0.5050891.7106871.880582e-08
0.5074391.7103571.828043e-08
0.5097991.7100311.775259e-08
0.512171.7097081.722230e-08
0.5145531.7093891.668954e-08
0.5169461.7090731.615431e-08
0.519351.708761.561658e-08
0.5217661.7084511.507636e-08
0.5241931.7081451.453362e-08
0.5266311.7078431.398836e-08
0.5290811.7075431.344056e-08
0.5315421.7072471.289021e-08
0.5340141.7069541.233730e-08
0.5364981.7066631.178182e-08
0.5389931.7063761.122376e-08
0.54151.7060921.066310e-08
0.5440191.7058111.009984e-08
0.5465491.7055339.533949e-09
0.5490921.7052578.965431e-09
0.551.705168.762300e-09
0.5516461.7049848.788519e-09
0.5542121.7047158.829399e-09
0.5567891.7044478.870469e-09
0.5593791.7041838.911730e-09
0.5619811.7039218.953182e-09
0.5645951.7036628.994828e-09
0.5672211.7034069.036667e-09
0.5698591.7031529.078701e-09
0.572511.70299.120931e-09
0.5751731.7026529.163356e-09
0.5778481.7024059.205980e-09
0.5805361.7021619.248801e-09
0.5832361.701929.291822e-09
0.5859491.7016819.335042e-09
0.5886751.7014449.378464e-09
0.5914131.7012099.422088e-09
0.5941641.7009779.465915e-09
0.5969271.7007479.509945e-09
0.5997041.7005199.554180e-09
0.61.7004959.558900e-09
0.6024931.7002949.857189e-09
0.6052961.700071.019247e-08
0.6081111.6998491.052932e-08
0.610941.699631.086773e-08
0.6137811.6994131.120771e-08
0.6166361.6991981.154928e-08
0.6195041.6989851.189243e-08
0.6223861.6987741.223718e-08
0.6252811.6985651.258354e-08
0.6281891.6983581.293150e-08
0.6311111.6981531.328109e-08
0.6340471.697951.363230e-08
0.6369961.6977491.398514e-08
0.6399591.697551.433962e-08
0.6429351.6973521.469576e-08
0.6459261.6971561.505355e-08
0.648931.6969621.541300e-08
0.651.6968941.554100e-08
0.6519491.696771.515255e-08
0.6549811.696581.454801e-08
0.6580281.6963911.394067e-08
0.6610881.6962041.333050e-08
0.6641631.6960191.271749e-08
0.6672521.6958351.210163e-08
0.6703561.6956531.148291e-08
0.6734741.6954731.086131e-08
0.6766071.6952941.023681e-08
0.6797541.6951179.609418e-09
0.6829151.6949418.979102e-09
0.6860921.6947678.345855e-09
0.6892831.6945947.709662e-09
0.6924891.6944237.070510e-09
0.695711.6942536.428385e-09
0.6989461.6940855.783273e-09
0.71.694035.573200e-09
0.7021971.6939185.730784e-09
0.7054631.6937535.965026e-09
0.7087451.6935896.200357e-09
0.7120411.6934266.436783e-09
0.7153531.6932656.674309e-09
0.7186811.6931056.912939e-09
0.7220231.6929467.152680e-09
0.7253821.6927897.393535e-09
0.7287561.6926337.635511e-09
0.7321461.6924787.878613e-09
0.7355511.6923258.122845e-09
0.7389721.6921738.368213e-09
0.7424091.6920228.614722e-09
0.7458631.6918728.862378e-09
0.7493321.6917239.111186e-09
0.7528171.6915769.361151e-09
0.7563191.691439.612279e-09
0.7598371.6912859.864575e-09
0.7633711.6911411.011804e-08
0.7669221.6909981.037269e-08
0.7704891.6908561.062853e-08
0.7740731.6907151.088555e-08
0.7776731.6905761.114377e-08
0.781291.6904371.140319e-08
0.7849241.69031.166381e-08
0.7885751.6901631.192565e-08
0.7922431.6900281.218871e-08
0.7959281.6898941.245299e-08
0.799631.689761.271850e-08
0.81.6897471.274500e-08
0.803351.6896281.279840e-08
0.8070861.6894961.285796e-08
0.810841.6893651.291780e-08
0.8146121.6892361.297791e-08
0.8184011.6891071.303831e-08
0.8222081.6889791.309899e-08
0.8260321.6888521.315995e-08
0.8298741.6887261.322119e-08
0.8337341.6886011.328272e-08
0.8376121.6884771.334454e-08
0.8415081.6883531.340664e-08
0.8454221.688231.346903e-08
0.8493551.6881081.353171e-08
0.851.6880891.354200e-08
0.8533051.6879871.359462e-08
0.8572741.6878671.365781e-08
0.8612621.6877481.372129e-08
0.8652681.6876291.378506e-08
0.8692921.6875111.384913e-08
0.8733361.6873941.391350e-08
0.8773981.6872771.397817e-08
0.8814791.6871611.404315e-08
0.8855791.6870461.410842e-08
0.8896981.6869321.417399e-08
0.8938361.6868181.423988e-08
0.8979941.6867051.430606e-08
0.91.6866511.433800e-08
0.9021711.6865931.437260e-08
0.9063671.6864811.443949e-08
0.9105831.686371.450669e-08
0.9148181.6862591.457420e-08
0.9190731.6861491.464203e-08
0.9233481.686041.471017e-08
0.9276431.6859321.477863e-08
0.9319581.6858241.484741e-08
0.9362931.6857161.491651e-08
0.9406481.6856091.498593e-08
0.9450231.6855031.505567e-08
0.9494191.6853971.512573e-08
0.951.6853831.513500e-08
0.9538351.6852921.519605e-08
0.9582711.6851871.526668e-08
0.9627291.6850831.533764e-08
0.9672071.6849791.540893e-08
0.9717051.6848761.548055e-08
0.9762251.6847731.555250e-08
0.9807661.684671.562479e-08
0.9853281.6845691.569742e-08
0.9899111.6844671.577038e-08
0.9945151.6843661.584368e-08
0.9991411.6842661.591732e-08
11.6842471.593100e-08
1.003791.6841661.599136e-08
1.008461.6840661.606575e-08
1.013151.6839671.614049e-08
1.017861.6838681.621558e-08
1.022591.6837691.629101e-08
1.027351.6836711.636680e-08
1.032131.6835731.644293e-08
1.036931.6834761.651943e-08
1.041751.6833791.659628e-08
1.04661.6832821.667348e-08
1.051471.6831861.675105e-08
1.056361.683091.682897e-08
1.061.6830191.688700e-08
1.061271.6829941.690726e-08
1.066211.6828991.698593e-08
1.071171.6828031.706496e-08
1.076151.6827091.714435e-08
1.081151.6826141.722412e-08
1.086181.682521.730426e-08
1.091241.6824261.738477e-08
1.096311.6823321.746565e-08
1.101411.6822381.754691e-08
1.106531.6821451.762855e-08
1.111681.6820521.771057e-08
1.116851.6819591.779297e-08
1.122051.6818661.787576e-08
1.127271.6817731.795892e-08
1.132511.6816811.804248e-08
1.137781.6815891.812642e-08
1.143071.6814971.821076e-08
1.148391.6814051.829549e-08
1.153731.6813131.838061e-08
1.159091.6812221.846612e-08
1.164481.6811311.855204e-08
1.16991.6810391.863835e-08
1.175341.6809481.872507e-08
1.180811.6808571.881219e-08
1.18631.6807661.889971e-08
1.191821.6806751.898764e-08
1.197361.6805851.907598e-08
1.21.6805421.911800e-08
1.202931.6804941.982079e-08
1.208531.6804032.116163e-08
1.214151.6803132.250871e-08
1.21981.6802222.386205e-08
1.225471.6801322.522169e-08
1.231171.6800412.658766e-08
1.23691.6799512.795997e-08
1.242651.679862.933867e-08
1.248431.679773.072379e-08
1.254241.679683.211534e-08
1.260071.6795893.351337e-08
1.265931.6794993.491790e-08
1.271821.6794083.632897e-08
1.277741.6793183.774660e-08
1.283681.6792273.917082e-08
1.289651.6791374.060166e-08
1.295651.6790464.203916e-08
1.301671.6789554.348335e-08
1.307731.6788654.493426e-08
1.313811.6787744.639191e-08
1.319921.6786834.785635e-08
1.326061.6785924.932759e-08
1.332231.6785015.080568e-08
1.338431.6784095.229064e-08
1.344651.6783185.378251e-08
1.350911.6782265.528132e-08
1.357191.6781355.678710e-08
1.36351.6780435.829989e-08
1.369851.6779515.981971e-08
1.376221.6778586.134660e-08
1.382621.6777666.288059e-08
1.389051.6776746.442172e-08
1.395511.6775816.597002e-08
1.41.6775166.704600e-08
1.4021.6774886.714183e-08
1.408521.6773956.745413e-08
1.415071.6773016.776788e-08
1.421661.6772086.808309e-08
1.428271.6771146.839977e-08
1.434911.6770196.871792e-08
1.441591.6769256.903754e-08
1.448291.676836.935866e-08
1.455031.6767356.968127e-08
1.46181.676647.000538e-08
1.468591.6765457.033100e-08
1.475431.6764497.065813e-08
1.482291.6763537.098679e-08
1.489181.6762567.131697e-08
1.496111.6761597.164869e-08
1.503071.6760627.198195e-08
1.510061.6759657.231676e-08
1.517081.6758677.265313e-08
1.524141.6757697.299107e-08
1.531231.675677.333057e-08
1.538351.6755717.367166e-08
1.545511.6754727.401433e-08
1.55271.6753727.435859e-08
1.559921.6752727.470446e-08
1.567171.6751717.505193e-08
1.574461.675077.540102e-08
1.581791.6749697.575174e-08
1.589141.6748677.610409e-08
1.596541.6747647.645807e-08
1.61.6747167.662400e-08
1.603961.6746617.939421e-08
1.611421.6745588.461159e-08
1.618921.6744548.985325e-08
1.626451.674359.511929e-08
1.634011.6742451.004098e-07
1.641611.6741391.057250e-07
1.649251.6740331.110648e-07
1.656921.6739271.164295e-07
1.664631.673821.218192e-07
1.672371.6737121.272339e-07
1.680151.6736041.326738e-07
1.687961.6734951.381390e-07
1.695811.6733861.436296e-07
1.70371.6732761.491458e-07
1.711631.6731651.546876e-07
1.719591.6730541.602552e-07
1.727591.6729421.658487e-07
1.735621.6728291.714683e-07
1.743691.6727161.771139e-07
1.751811.6726021.827858e-07
1.759951.6724871.884841e-07
1.768141.6723721.942089e-07
1.776361.6722561.999604e-07
1.784631.6721392.057385e-07
1.792931.6720222.115436e-07
1.81.6719222.164900e-07
1.801271.6719042.178776e-07
1.809641.6717852.270577e-07
1.818061.6716652.362805e-07
1.826521.6715452.455462e-07
1.835011.6714232.548550e-07
1.843551.6713012.642071e-07
1.852121.6711782.736026e-07
1.860741.6710552.830419e-07
1.869391.670932.925251e-07
1.878091.6708053.020524e-07
1.886821.6706783.116240e-07
1.89561.6705513.212401e-07
1.904421.6704233.309010e-07
1.913281.6702943.406068e-07
1.922181.6701643.503577e-07
1.931121.6700333.601540e-07
1.94011.6699013.699959e-07
1.949121.6697693.798835e-07
1.958191.6696353.898172e-07
1.96731.66953.997970e-07
1.976451.6693644.098233e-07
1.985641.6692284.198962e-07
1.994881.669094.300159e-07
21.6690134.356300e-07
2.004161.6689514.518030e-07
2.013481.6688114.880874e-07
2.022841.668675.245406e-07
2.032251.6685285.611634e-07
2.04171.6683855.979565e-07
2.05121.6682416.349207e-07
2.060741.6680966.720569e-07
2.070331.6679497.093658e-07
2.079961.6678017.468483e-07
2.089631.6676527.845051e-07
2.099351.6675028.223370e-07
2.109121.6673518.603449e-07
2.118931.6671998.985296e-07
2.128781.6670459.368919e-07
2.138681.666899.754327e-07
2.148631.6667331.014153e-06
2.158621.6665761.053053e-06
2.168671.6664171.092134e-06
2.178751.6662571.131397e-06
2.188891.6660951.170842e-06
2.199071.6659321.210471e-06
2.21.6659171.214100e-06
2.20931.6657681.284361e-06
2.219571.6656021.362028e-06
2.22991.6654351.440057e-06
2.240271.6652661.518448e-06
2.250691.6650961.597204e-06
2.261161.6649251.676327e-06
2.271671.6647521.755817e-06
2.282241.6645771.835677e-06
2.292861.6644011.915909e-06
2.303521.6642241.996514e-06
2.314241.6640442.077494e-06
2.3251.6638642.158850e-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
—