for hypothetical magneto-dielectric particles, [@kerker_electromagnetic_1983] can be realized in the visible spectral range using dielectric nanoparticles. Kerker *et al.* described two possible configurations, called the *Kerker conditions*. At the first Kerker condition zero backward scattering occurs for equal electric permittivity and magnetic permeability ($\epsilon_r = \mu_r$). The second Kerker condition predicts zero forward scattering in small spherical particles when the first order magnetic and electric Mie coefficients are of equal absolute value and with opposite sign ($a_1 = -b_1$). In contrast to particularly designed metamaterials,[@pendry_controlling_2006] the magnetic permeability $\mu_r$ is unitary in dielectric nanoparticles. Nevertheless, simultaneously occurring electric and magnetic resonances can *de-facto* fulfill the first Kerker condition. While the Kerker conditions were originally derived for spherical particles, it has been shown that the conditions are a result of a cylindrical symmetry and therefore can be generalized accordingly. [@zambrana-puyalto_duality_2013]

![Average electric (red lines) and magnetic (blue lines) field intensity enhancement inside a silicon nanowire of diameter $D=100\,$nm as function of wavelength for a) a TE and b) a TM polarized incident plane wave, calculated using Mie theory. Normalized to the illumination field intensity. For comparison, the FW/BW scattering ratio in the far-field is shown as dashed green line (right axis 