Resonance energy transfer: The unified theory via vector spherical harmonics

Grinter, Roger and Jones, Garth (2016) Resonance energy transfer: The unified theory via vector spherical harmonics. The Journal of Chemical Physics, 145 (7). ISSN 0021-9606

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Abstract

In this work, we derive the well-established expression for the quantum amplitude associated with the resonance energy transfer (RET) process between a pair of molecules that are beyond wavefunction overlap. The novelty of this work is that the field of the mediating photon is described in terms of a spherical wave rather than a plane wave. The angular components of the field are constructed in terms of vector spherical harmonics while Hankel functions are used to define the radial component. This approach alleviates the problem of having to select physically correct solution from non-physical solutions, which seems to be inherent in plane wave derivations. The spherical coordinate system allows one to easily decompose the photon’s fields into longitudinal and transverse components and offers a natural way to analyse near-, intermediate-, and far-zone RET within the context of the relative orientation of the transition dipole moments for the two molecules.

Item Type:	Article
Faculty \ School:	Faculty of Science > School of Chemistry (former - to 2024)
UEA Research Groups:	Faculty of Science > Research Groups > Chemistry of Light and Energy Faculty of Science > Research Groups > Centre for Photonics and Quantum Science
Depositing User:	Pure Connector
Date Deposited:	24 Sep 2016 00:29
Last Modified:	02 Dec 2024 01:24
URI:	https://ueaeprints.uea.ac.uk/id/eprint/60062
DOI:	10.1063/1.4960732

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