Abstract
The propagation of inhomogeneous plane waves in linear conservative systems is considered. It is assumed that the secular equation governing the propagation of a plane wave of slowness S has the form Q ( S ) = 0 where Q is independent of frequency. Dispersion enters via the boundary conditions. By using the point form of the conservation of energy equation results are obtained which relate the mean energy flux vector R ˜ with the mean energy density Ẽ for any number of wave trains. In particular for a single train of inhomogeneous plane waves it is shown that R ˜ . S + = Ẽ . The results are relevant in electromagnetism, elasticity and fluid dynamics.
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Schedule a callMore From: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
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