Transfer operator approach for cavities with apertures

Gradoni, Gabriele; Creagh, Stephen C.; Tanner, Gregor

Abstract

We describe a representation of the boundary integral 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. C., & Tanner, G. (2016). Transfer operator approach for cavities with apertures. In 2016 URSI International Symposium on Electromagnetic Theory (EMTS) (682-685). https://doi.org/10.1109/URSI-EMTS.2016.7571490

• Conference Name: 2016 URSI International Symposium on Electromagnetic Theory (EMTS)
• Conference Location: Espoo, Finland
• 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: 978-1-5090-2503-9
• 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