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Mathematical Models for Acoustic Radiation

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Transducers and Arrays for Underwater Sound

Part of the book series: Modern Acoustics and Signal Processing ((MASP))

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Abstract

This chapter will extend the results in Chap. 10 by using more advanced analytical methods for calculating acoustical quantities such as mutual radiation impedance. Before fast computers were available some of the results obtained by analytical methods had limited usefulness when they were expressed as slowly converging infinite series or integrals that required numerical evaluation. Now such series and integrals can be evaluated more easily. In some cases the analytical methods give more physical insight, or can be reduced to a simpler form, than the strictly numerical methods. Results for several useful cases obtained by analytical methods, and numerically evaluated, will be given in this chapter. However, the most advanced analytical methods cannot handle the geometries presented by practical transducers and arrays; in these cases finite element numerical methods are necessary.

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Authors and Affiliations

  1. Image Acoustics, Inc., Cohasset, MA, USA

    John L. Butler (Chief Scientist) & Charles H. Sherman

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  1. John L. Butler
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  2. Charles H. Sherman
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Butler, J.L., Sherman, C.H. (2016). Mathematical Models for Acoustic Radiation. In: Transducers and Arrays for Underwater Sound. Modern Acoustics and Signal Processing. Springer, Cham. https://doi.org/10.1007/978-3-319-39044-4_11

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