Spontaneous decay rate of an excited molecule placed near a circular aperture in a perfectly conducting screen: An analytical approach

Abstract

We have investigated theoretically the spontaneous decay rate of an excited molecule placed near a circular aperture in a perfectly conducting infinitely thin plane screen. A quasistatic analytical solution for a molecule with an arbitrary position near the aperture is found. In a case with a retardation, an exact analytical solution expressed through spheroidal wave functions is obtained. Analytical results are in good agreement with numerical simulations. The results may be useful in the design and development of optical nanodevices based on the control of elementary quantum systems emission.