# Scattering asymmetry and second Kerker condition

## TL;DR

This paper challenges the traditional understanding of the second Kerker condition, showing it alone cannot produce nearly zero forward scattering or anti-duality, and highlights the role of dipolar resonances in scattering patterns.

## Contribution

It reveals that the second Kerker condition is insufficient for certain scattering effects and clarifies the influence of electric and magnetic dipolar resonances on scattering patterns.

## Key findings

- Second Kerker condition alone does not produce nearly zero forward scattering.
- Near dipolar resonances, scattering resembles the first Kerker condition with nearly-zero backscattering.
- The traditional view of the second Kerker condition's effects is incomplete.

## Abstract

The nearly zero optical forward scattering and anti-dual conditions are usually associated to the so-called second Kerker condition, at which the electric and magnetic responses are phase-shifted by {\pi}. However, as we show, this condition is insufficient to both give rise to the nearly zero optical forward scattering and the anti-duality symmetry, in striking contrast to the actual view of the problem. Interestingly, we demonstrate that near the electric and magnetic dipolar resonances, the energy radiation pattern in the far-field limit resembles to the one arising from the first Kerker condition, with nearly-zero backscattering.