Transfer operator approach for cavities with apertures

Gradoni, Gabriele; Creagh, Stephen; Tanner, Gregor

Abstract

We describe a representation of the boundary inte- gral equations for wave propagation in enclosures which leads to a direct description of transport and dynamical characteristics of the problem. The formalism is extended to account for arbitrary and possibly statistical sources driving a polygonal cavity problem and to account for apertures. In this approach, the boundary integral equations are encoded within a shift operator which propagates waves leaving the boundary until they return to the boundary as an incoming wave. The response of the system to non-deterministic, statistical sources characterised by correlation functions can be treated, providing a direct path to ray-tracing approaches through the Wigner function. The high frequency limit is retrieved semiclassically and provides a simple ray tracing scheme transporting densities of rays as an averaged response. Interference effects due to transport along multiple paths can also be accounted for.

Citation

Gradoni, G., Creagh, S., & Tanner, G. (2016). Transfer operator approach for cavities with apertures. In 2016 URSI International Symposium on Electromagnetic Theory (EMTS), 682-685. doi:10.1109/URSI-EMTS.2016.7571490

• Conference Name: 2016 URSI International Symposium on Electromagnetic Theory (EMTS)
• Start Date: Aug 14, 2016
• End Date: Aug 18, 2016
• Acceptance Date: Apr 29, 2016
• Online Publication Date: Sep 22, 2016
• Publication Date: Aug 14, 2016
• Deposit Date: Sep 8, 2017
• Peer Reviewed: Peer Reviewed
• Pages: 682-685
• Book Title: 2016 URSI International Symposium on Electromagnetic Theory (EMTS)
• ISBN: 978-1-5090-2502-2
• DOI: https://doi.org/10.1109/URSI-EMTS.2016.7571490
• Public URL: https://nottingham-repository.worktribe.com/output/1114624
• Publisher URL: https://ieeexplore.ieee.org/abstract/document/7571490