Theory and application of acoustic sources using complex analysis : complex acoustic sources, Green's functions and half-space problems, acoustic radiation and scattering using equivalent source and boundary element methods / Martin Ochmann, Rafael Piscoya.
Ochmann, Martin.; Piscoya, Rafael.
2021
TA365
Available Online

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Title Theory and application of acoustic sources using complex analysis : complex acoustic sources, Green's functions and half-space problems, acoustic radiation and scattering using equivalent source and boundary element methods / Martin Ochmann, Rafael Piscoya.
Author Ochmann, Martin.
ISBN 9789813360402 (electronic bk.)
9813360402 (electronic bk.)
9813360399
9789813360396
DOI https://doi.org/10.1007/978-981-33-6040-2
Publication Details Singapore : Springer, 2021.
Language English
Description 1 online resource (247 pages)
Item Number 10.1007/978-981-33-6040-2 doi
Call Number TA365
Dewey Decimal Classification 620.2
Summary This book highlights the mathematical and physical properties of acoustical sources with singularities located in the complex plane and presents the application of such special elements to solve acoustical radiation and scattering problems. Sources whose origin lies in the complex plane are also solutions of the wave equation but possess different radiating properties as their counterparts with real positions. Such mathematical constructions are known in the fields of optics and electrodynamics, but they are not common in acoustical research. The objective of the book is to introduce this concept to acousticians and motivate them to engage themselves in further research and application of complex sources. Such sources are particularly useful to formulate Green's functions and related equivalent source and boundary element methods in half-spaces.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Digital File Characteristics text file
PDF
Source of Description Description based on print version record.
Added Author Piscoya, Rafael.
Available in Other Form Theory and Application of Acoustic Sources Using Complex Analysis.
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Chapter 1
Introduction
Chapter 2
Complex monopoles and the Helmholtz equation in Cartesian coordinates
Chapter 3
Complex monopoles in oblate spheroidal coordinates
Chapter 4
The driving source of the complex monopole
Chapter 5
Application of complex sources for constructing the Green's function above an impedance plane
Chapter 6
New and old formulas from the Helmholtz equation with half-space driving sources
Chapter 7
Branch cuts of the square root with complex argument
Chapter 8
Realization of complex sources
Chapter 9
Simulation of vibrating and scattering objects with ESM / CEM
Chapter 10
Green's function above homogeneous ground
Chapter 11
Boundary element techniques for sound propagation above impedance planes
Chapter 12
Final remarks and outlook.

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