Spectroscopy of Mie resonances excited from internal source

Mie theory describes how a spherical dielectric particle scatters electromagnetic waves. Numerical improvements have allowed studying more complicated geometries with the multipole decomposition on the spherical harmonics. Hence, Mie theory is widely applied in theoretical and applied physics to enable novel light manipulation, nonlinear optics, or to design dielectric metamaterials. Recently, the anapole state has brought attention in the community as an interesting singularity. It can be interpreted as a destructive interference in the far field between the fields scattered by the toroidal and electrical dipoles at a given frequency. Such element is therefore transparent to any incoming plane wave. However, things are different if the element is excited in its near field from an internal source. In this work, we experimentally demonstrate a semiconductor laser based on a single cylindrical resonator suspended in air fabricated with a top-down lithography. We study the shift of the Mie resonance as geometrical parameters are varied, and show how it affects the lasing frequency. Our investigation of Mie resonances from an active gain medium would be a rich platform to study nontrivial excitation of a complex field and paves the way to design active devices exploiting Mie theory.