Coupled mode theory for irregular acoustic waveguides with loss

Abstract

The coupled mode theory of Shevchenko for irregular acoustic waveguides is extended to account for loss. An energy dissipation principle for truncated systems of the coupled mode equations is established. Two-point boundary value problems for these equations are solved by means of a differential Riccati equation. Solutions of a related algebraic Riccati equation are used to approximate solutions of the differential Riccati equation and to formulate radiation boundary conditions.