  Conventional approaches to control and shape the scattering patterns of light
generated by different nanostructures are mostly based on engineering of their
electric response due to the fact that most metallic nanostructures support
electric resonances in the optical frequency range. Recently, fuelled by the
fast development in the fields of metamaterials and plasmonics, artificial
optically-induced magnetic responses have been demonstrated for various
nanostructures. This kind of response can be employed to provide an extra
degree of freedom for the efficient control and shaping of the scattering
patterns of nanoparticles and nanoantennas. Here we review the recent progress
in this research direction of nanoparticle scattering shaping and control
through the interference of both electric and optically-induced magnetic
responses. We discuss the magnetic resonances supported by various structures
in different spectral regimes, and then summarize the original results on the
scattering shaping involving both electric and magnetic responses, based on the
interference of both spectrally separated (with different resonant wavelengths)
and overlapped dipoles (with the same resonant wavelength), and also other
higher-order modes. Finally, we discuss the scattering control utilizing Fano
resonances associated with the magnetic responses.
