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In our calculations, Mie theory was mainly used for extraction of scattering and absorption cross sections, their division into the different order electric and magnetic modes and their representation as maps of wavelength and nanoparticle radius.
Scattering and absorption cross sections, their division into the different order electric and magnetic modes, electromagnetic near field distributions around the nanoparticles at various wavelengths as well as angular distributions of the scattered light were investigated.
The high polarizability and large electric dipole moments of high Rydberg states give rise to strong van der Waals, dipole-dipole and higher order electric multipole interactions [57, 58].
This peak can be attributed to the dipole electric mode as shown in Figure 6 where the sum of the scattering cross section for an r = 170 nm GZO nanoparticle is depicted together with the different order electric and magnetic modes.
Considering that a m and b m correspond to the mth order electric and magnetic multipoles, respectively (e.g., a 1 and b 1 correspond to electric dipole and magnetic dipole, respectively), then the Q sca contributed from them can be expressed respectively as follows: {Q}_{am}=frac{2}{k^2{r}^2}left(2m+1right){left|{a}_mright|}^2, {Q}_{bm}=frac{2}{k^2{r}^2}left(2m+1right){left|{b}_mright|}^2.
Ample literature is devoted to characterization of nonlinear optical properties of ZnO bulk [ 24– 26], and, recently, ZnO nanomaterials, which are mainly governed by the 2nd- [χ(2)] and 3rd- [χ(3)] order electric susceptibilities.
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It is related to the normalized first-order electric field time correlation function g(1)(t).
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