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Theory and application of acoustic s...

Ochmann, Martin.

Theory and application of acoustic sources using complex analysiscomplex acoustic sources, Green's functions and half-space problems, acoustic radiation and scattering using equivalent source and boundary element methods /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Theory and application of acoustic sources using complex analysisby Martin Ochmann, Rafael Piscoya.
Reminder of title:	complex acoustic sources, Green's functions and half-space problems, acoustic radiation and scattering using equivalent source and boundary element methods /
Author:	Ochmann, Martin.
other author:	Piscoya, Rafael.
Published:	Singapore :Springer Singapore :2021.
Description:	xiv, 243 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Acoustic localizationMathematics.
Online resource:	https://doi.org/10.1007/978-981-33-6040-2
ISBN:	9789813360402$q(electronic bk.)

Theory and application of acoustic sources using complex analysiscomplex acoustic sources, Green's functions and half-space problems, acoustic radiation and scattering using equivalent source and boundary element methods /
Ochmann, Martin.

Theory and application of acoustic sources using complex analysiscomplex acoustic sources, Green's functions and half-space problems, acoustic radiation and scattering using equivalent source and boundary element methods /[electronic resource] :by Martin Ochmann, Rafael Piscoya. - Singapore :Springer Singapore :2021. - xiv, 243 p. :ill., digital ;24 cm.

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.

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.

ISBN: 9789813360402$q(electronic bk.)

Standard No.: 10.1007/978-981-33-6040-2doiSubjects--Topical Terms:

890256
Acoustic localization
--Mathematics.

LC Class. No.: TA365 / .O246 2021

Dewey Class. No.: 620.2

Theory and application of acoustic sources using complex analysiscomplex acoustic sources, Green's functions and half-space problems, acoustic radiation and scattering using equivalent source and boundary element methods /
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245 1 0 $a Theory and application of acoustic sources using complex analysis $h [electronic resource] : $b complex acoustic sources, Green's functions and half-space problems, acoustic radiation and scattering using equivalent source and boundary element methods / $c by Martin Ochmann, Rafael Piscoya.
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505 0 $a 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.
520 $a 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.
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