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Full electromagnetic Green's dyadic of spherically symmetric open optical systems and elimination of static modes from the resonant-state expansion

Muljarov, E. A. 2020. Full electromagnetic Green's dyadic of spherically symmetric open optical systems and elimination of static modes from the resonant-state expansion. Physical Review A 101 (5) , 053854. 10.1103/PhysRevA.101.053854

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Abstract

A general analytic form of the full 6 × 6 dyadic Green’s function of a spherically symmetric open optical system is presented, with an explicit solution provided for a homogeneous sphere in vacuum. Different spectral representations of the Green’s function are derived using the MittagLeffler theorem, and their convergence to the exact solution is analyzed, allowing us to select optimal representations. Based on them, more efficient versions of the resonant-state expansion (RSE) are formulated, with a particular focus on the static mode contribution, including versions of the RSE with a complete elimination of static modes. These general versions of the RSE, applicable to nonspherical optical systems, are verified and illustrated on exactly solvable examples of a dielectric sphere in vacuum with perturbations of its size and refractive index, demonstrating the same level of convergence to the exact solution for both transverse electric and transverse magnetic polarizations.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Physics and Astronomy
Publisher: American Physical Society
ISSN: 2469-9926
Date of First Compliant Deposit: 28 April 2020
Date of Acceptance: 28 April 2020
Last Modified: 09 Jul 2020 11:05
URI: http://orca.cf.ac.uk/id/eprint/131279

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