  Asymmetric metal-dielectric nanostructures are demonstrated superior optical
properties arise from the combination of strong enhancement of their near
fields and controllable scattering characteristics which originate from
plasmonic and high-index dielectric components. Here, being inspired by the
recent experimental work [Dmitry~Zuev, \textit{et al.}, Adv. Mater.
\textbf{28}, 3087 (2016)] on a new technique for fabrication of asymmetric
hybrid nanoparticles via femtosecond laser melting at the nanoscale, we suggest
and study numerically a novel type of hybrid dimer nanoantennas. The
nanoantennas consist of asymmetric metal-dielectric (Au/Si) nanoparticles and
can allow tuning of the near- and far-field properties via laser melting of the
metal part. We demonstrate a modification of scattering properties, near
electric field distribution, normalized local density of states, and power
patters of radiation of the nanoantennas upon laser reshaping. The parameters
used to investigate these effects correspond to experimentally demonstrated
values in the recent work.
