Propagation of guided waves through weak penetrable scatterers
Résumé
The scattering of a scalar wave propagating in a waveguide containing weak penetrable scatterers is inspected in the Born approximation. The scatterers are of arbitrary shape and present a contrast both in density and in celerity (or bulk modulus), a situation that can be translated in the context of SH waves, water waves or TE/TM polarized electromagnetic waves. For small size of inclusions compared to the waveguide height, analytical expressions of the transmission and reflexion coefficients are derived, and compared to result of direct numerical simulations. The cases of periodically and randomly distributed inclusions are considered in more details, and compared with un- bounded propagation through inclusions. Comparisons with previous results valid in the low frequency regime are proposed.
Domaines
Acoustique [physics.class-ph]
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