CoupledMode Theory for Stationary and Nonstationary Resonant Sound Propagation
Abstract
We present a complete analytical derivation of the equations used for stationary and nonstationary wave systems regarding resonant sound transmission and reflection described by the phenomenological CoupledMode Theory. We calculate the propagating and coupling parameters used in CoupledMode Theory directly by utilizing the generalized eigenwaveeigenvalue problem from the Hamiltonian of the sound wave equations. This Hamiltonian formalization can be very useful since it has the ability to describe mathematically a broad range of acoustic wave phenomena. We demonstrate how to use this theory as a basis for perturbative analysis of more complex resonant scattering scenarios. In particular, we also form the effective Hamiltonian and coupledmode parameters for the study of sound resonators with background moving media. Finally, we provide a comparison between CoupledMode theory and fullwave numerical examples, which validate the Hamiltonian approach as a relevant model to compute the scattering characteristics of waves by complex resonant systems.
 Publication:

arXiv eprints
 Pub Date:
 June 2018
 arXiv:
 arXiv:1806.02971
 Bibcode:
 2018arXiv180602971K
 Keywords:

 Physics  Classical Physics