Propagation of coupled modes in three dimensions

Pannatoni, Ronald F.

doi:doi:10.1121/1.3673072

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Proceedings of Meetings on Acoustics / Volume 14 / Underwater Acoustics

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Propagation of coupled modes in three dimensions

POMA Volume 14, pp. 070003 (December 2011); (8 pages)

Ronald F. Pannatoni

540 Mark Dowdle Rd., Franklin, North Carolina 28734

POMA - 162nd Meeting Acoustical Society of America

Conference location: San Diego, California

Conference Date: 31 October - 4 November 2011

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A time-harmonic acoustic field in an ocean can be represented in terms of local normal modes. This representation may include leaky modes to account for radiation into the bottom. A system of coupled elliptic equations governs the amplitudes of these modes. If there is a primary horizontal direction of propagation, it may be possible to approximate these equations by parabolic equations. The resulting system of coupled parabolic equations can be integrated in the direction of propagation only if a certain linear transformation is nonsingular. This constraint limits the size of the system and the amount of coupling among the modes that are consistent with the parabolic approximations. A method for integrating the coupled parabolic equations numerically is discussed, and it it applied to a problem of three-dimensional propagation and scattering around a conical seamount in a deep ocean.