# Multiple Kerker conditions in arbitrary dielectric spheres

## TL;DR

This paper demonstrates how to induce multiple Kerker conditions in arbitrary dielectric spheres using focused dipolar beams, enabling control over scattering properties and generating unique optical effects.

## Contribution

It introduces a method to achieve multiple Kerker conditions in arbitrary dielectric spheres with focused dipolar illumination, expanding control over light scattering.

## Key findings

- Duality signatures can be induced on spheres of various sizes.
- Topological optical vortices are generated.
- Enhanced spin orbit optical mirages are observed.

## Abstract

High refractive index dielectric particles present unique light scattering properties in the spectral range dominated by electric and magnetic dipolar resonances. These properties are absent in non-resonant low-index particles due to the strong overlap between dipolar and higher order multipolar contributions. Here we propose to induce duality and zero optical backscattering (first Kerker conditions) at multiple size parameter values on arbitrary dielectric spheres by illuminating with a tightly focused dipolar beam. As an illustrative example, we show that duality signatures, including topological optical vortices and enhanced spin orbit optical mirages, can be induced on arbitrary sized spheres of Polystyrene immersed in water.