A Two-Way Coupled Mode Formalism that Satisfies Energy Conservation for Impedance Boundaries in Underwater Acoustics

date April 3, 2015
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Friday, April 3, 2015 4:00 p.m. in ETC 4.150

Dr. Steven A. Stotts
Applied Research Laboratories
The University of Texas at Austin

This paper shows that energy conservation and the derivation of the two-way coupled mode range equations can be extended in three dimensions to complex mode functions and eigenvalues. Furthermore, the energy in the coupled mode formulation is conserved for finite thickness ocean waveguides with a penetrable bottom boundary beneath any range dependence. The new derivations rely on completeness and a modified orthonormality statement. The mode coupling coefficients are specified solely and explicitly by the waveguide range dependence. Application of energy conservation to examine the accuracy of a numerical coupled mode calculation is presented.