# Second harmonic generation in dielectric nanoparticles with different symmetries

## TL;DR

This paper investigates how the shape symmetry of non-centrosymmetric dielectric nanoparticles influences their second harmonic generation, offering a predictive method and selection rules for various symmetries.

## Contribution

It introduces a method to explain and predict second harmonic fields in nanoparticles with arbitrary shapes and symmetry-based selection rules.

## Key findings

- Symmetry breaking affects SHG radiation patterns.
- Proposed a predictive model for SHG in nanoparticles.
- Identified selection rules for different symmetries.

## Abstract

In this work, we study second-harmonic generation a monocrystalline nanoparticle with a non-centrosymmetric crystalline lattice. It was shown that breaking the symmetry of the nanoparticle's shape can significantly affect the second harmonic radiation pattern. We propose a method for explaining and predicting the generated field for arbitrary nanoparticles and provide selection rules for nanoparticles with several different symmetries.