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Proceedings Paper

Modeling approach for two-dimensional distributed transducers of arbitrary spatial distribution
Author(s): Jeanne M. Sullivan; James E. Hubbard Jr.; Shawn Edward Burke
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Paper Abstract

A new modeling method for two-dimensional distributed transducers with arbitrary spatial distribution is presented. The spatial weighting of a distributed transducer is defined using multi-dimensional distributions with composite functions as arguments. A differentiation theorem is derived for one-dimensional distributions of composite functions and is extended to multi-dimensions through the use of partial distributional derivatives and the product rule. The resulting theory is used to determine the differential operator describing the distributed transducer's spatial dynamics. The methodology, which is valid for both uniaxial and biaxial transducers, is applied to several two-dimensional problems.

Paper Details

Date Published: 8 September 1993
PDF: 15 pages
Proc. SPIE 1917, Smart Structures and Materials 1993: Smart Structures and Intelligent Systems, (8 September 1993); doi: 10.1117/12.152824
Show Author Affiliations
Jeanne M. Sullivan, Charles Stark Draper Lab., Inc. (United States)
James E. Hubbard Jr., Optron Systems, Inc. (United States)
Shawn Edward Burke, Charles Stark Draper Lab., Inc. (United States)

Published in SPIE Proceedings Vol. 1917:
Smart Structures and Materials 1993: Smart Structures and Intelligent Systems
Nesbitt W. Hagood; Gareth J. Knowles, Editor(s)

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