# Spontaneous decay rate of an excited molecule placed near a circular aperture in a metal film

## TL;DR

This paper studies how the spontaneous decay rate of an excited molecule is affected by its proximity to a circular aperture in a metal film, considering various configurations and substrate effects, with implications for nanodevice design.

## Contribution

It provides a detailed analysis of the decay rates near a metal aperture, including the effects of substrate and finite metal properties, offering new insights for nanophotonics applications.

## Key findings

- Substrate presence significantly alters decay rates.
- Derived asymptotes describe decay behavior effectively.
- Compared total, radiative, and non-radiative decay rates.

## Abstract

We have investigated the spontaneous decay rate of an excited molecule placed near a circular aperture in a metal film of finite thickness and finite conductivity. We have considered the metal film both suspended freely in vacuum and lying on a substrate. A significant effect of molecule the position and the presence of the substrate on the rate of spontaneous emission of the molecule is shown. The asymptotes which can be used to describe this process are found. Total, radiative, and non-radiative spontaneous decay rates of the excited molecule are extracted and compared. The results may be useful in the development and interpretation of experiments investigating a single molecule with a scanning optical microscope and in the design of optical nanodevices based on the control of elementary quantum systems emission with a nanohole.

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Source: https://tomesphere.com/paper/1701.06044