This thesis explores the non-Hermitian Hamiltonian method for open acoustic system from the perspective of the coupling between the cavity and the external space. It is shown that the acoustic coupling between finite and infinite spaces can be characterised by a non-Hermitian differential operator, known as the non-Hermitian Hamiltonian of the open system. The eigenvalue problem induced by the non-Hermitian Hamiltonian leads to a modal expansion of the sound field in terms of a series of frequency-dependent eigenmodes, allowing for investigations into the properties of acoustic scatterers and open cavities coupled with semi-infinite spaces.
|Qualification||Doctor of Philosophy|
|Award date||26 Jul 2017|
|Publication status||Unpublished - 2017|