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Application of the T-matrix method to the numerical modeling of a linear active sonar array

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Author
Ozer, Erhan
Date
2013-06
Advisor
Baker, Steven R.
Scandrett, Clyde L.
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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 for an arbitrary incident wave. For acoustic waves, Profs. Baker and Scandrett 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 transducers 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 was modeled. Beam patterns of the linear array models computed with the T-matrix method are compared with those of an array of point sources, demonstrating that the T-matrix method produces more realistic beam patterns, especially for end fire arrays.
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
URI
http://hdl.handle.net/10945/34718
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    Day, Joseph L. (Monterey, California: Naval Postgraduate School, 1999-09);
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    Acoustic Interactions in Arrays of Spherical Elastic Shells 

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    The acoustical performance of a submerged linear array of spherical transducers is examined by combining the T-Matrix method of solving for multiple acoustic interactions among separate bodies with a model for the transducers ...
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    Low-Frequency Active Array Calculations in a Shallow Channel 

    Scandrett, Clyde L.; Canright, David R. (2001-08-10);
    The acoustical performance of a submerged linear array of spherical shells in shallow water is examined by combining the T-Matrix method of solving for multiple acoustic interactions among separate bodies, with a model for ...
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