# Effects of mode mixing and avoided crossings on the transverse spin in a metal-dielectic-metal sphere

## TL;DR

This paper investigates how mode mixing and avoided crossings in a metal-dielectric-metal sphere influence the transverse spin, revealing that near crossing points, the transverse spin can be significantly enhanced due to complex field interactions.

## Contribution

It demonstrates the impact of avoided crossings on transverse spin in MDM spheres and links transparency effects to spin enhancement, a novel insight into plasmonic mode interactions.

## Key findings

- Transverse spin is affected by avoided crossings in MDM spheres.
- Transparency correlates with increased transverse spin.
- Structured fields result from electric and magnetic mode competition.

## Abstract

We study transverse spin in a sub-wavelength metal-dielectric-metal (MDM) sphere when the MDM sphere exhibits avoided crossing due to hybridization of the surface plasmon with the Mie localized plasmon. We show that the change in the absorptive and dipersive character near the crossing can have significant effect on the transverse spin. An enhancement in the transverse spin is shown to be possible associated with the transparency (suppression of extinction) of the MDM sphere. The effect is attributed to the highly structured field emerging as a consequence of competition of the electric and magnetic modes.