Second-harmonic generation in Mie-resonant dielectric nanoparticles made of noncentrosymmetric materials

TL;DR

This paper presents a multipolar theoretical framework for second-harmonic generation in noncentrosymmetric dielectric nanoparticles, analyzing excitation regimes and material classes to enable design of reconfigurable nonlinear nanoantennas.

Contribution

It introduces a comprehensive multipolar theory for SHG in noncentrosymmetric dielectric nanoparticles considering different excitation regimes and material symmetries.

Findings

Derived selection rules for nonlinear radiation multipolar composition.

Applicable to design of efficient nonlinear nanoantennas.

Analyzed two classes of nonlinear crystalline solids.

Abstract

We develop a multipolar theory of second-harmonic generation (SHG) by dielectric nanoparticles made of noncentrosymmetric materials with bulk quadratic nonlinearity. We specifically analyze two regimes of optical excitation: illumination by a plane wave and single-mode excitation, when the laser pump drives the magnetic dipole mode only. Considering two classes of nonlinear crystalline solids (dielectric perovskite material and III-V semiconductor), we apply a symmetry approach to derive selection rules for the multipolar composition of the nonlinear radiation. The developed description can be used for design of efficient nonlinear optical nanoantennas with reconfigurable radiation characteristics.