APPLICATION OF THE T-MATRIX METHOD TO THE NUMERICAL MODELING OF A LINEAR ACTIVE SONAR ARRAY

Presented by LTJG Erhan Ozer, TK

Abstract: Classically, the T-matrix method is a procedure to exactly compute the multiple scattering of an incident wave from a “cloud” of objects given knowledge of the free-field scattering properties of a single object from an arbitrary incident wave. For acoustic waves, Profs. Baker and Scan- drett have extended the T-matrix method to the case in which the radiation sources are also the scatterers, that is, to the case of an array of active transducers. This thesis is the first successful practical demonstration of the T-matrix method applied to an active sonar array for which a finite-element model was employed to compute the scattering properties of a single transducer. For validation, a T-matrix model of a linear array of piezoelectric spherical thin-shell transduc- ers was modeled, for which analytical approximate values of the T-matrix element values are known. Subsequently, a T-matrix model of a linear array of piezoelectric class V flextensional “ring-shell” transducers, for which no analytic approximate values of the T-matrix element val- ues are available was modeled. Beam patterns of the linear array models computed with the T-matrix method are compared with a non-interacting array, demonstrating that the T-matrix method produces more realistic beam patterns, especially for end fire arrays.

Point of Contact:

rharkins@nps.edu

Added:

Jun 30, 2013

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