8 September 1993 Modeling approach for two-dimensional distributed transducers of arbitrary spatial distribution
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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.
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Jeanne M. Sullivan, Jeanne M. Sullivan, James E. Hubbard, James E. Hubbard, Shawn Edward Burke, Shawn Edward Burke, } "Modeling approach for two-dimensional distributed transducers of arbitrary spatial distribution", Proc. SPIE 1917, Smart Structures and Materials 1993: Smart Structures and Intelligent Systems, (8 September 1993); doi: 10.1117/12.152824; https://doi.org/10.1117/12.152824

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