Theory and Application of Acoustic Sources Using Complex Analysis

Prof. Dr.-Ing. M. Ochmann: After university education in Technical Environmental Engineering (Dipl.-Ing.) and Mathematics (Diploma), he received a doctor degree (1985) and habilitation in Technical Acoustics (1990) at the Technical University of Berlin at the Institute of Technical Acoustics. He was directing the researcher group Computational Acoustics at Beuth University and several corresponding acoustical research projects until his retirement at October 2020. His research activities cover sound radiation from vibrating surfaces, fluid–structure interaction, acoustical scattering, numerical acoustics, boundary element methods, and duct acoustics.Dr.-Ing. Rafael Piscoya studied Physics at the Catholic University in Peru. In 1994, he obtained his Magister degree with the work “Acoustic design of rooms using ray tracing”. From 1999 to 2003, he did his Ph.D. studies at the Technical University in Berlin which he concluded with the thesis “Influencing the radiation pattern of horns through collocation of impedances on their sidewalls”. Since 2003, he has been working in different research projects collecting knowledge and experience in the solution of numerous acoustic problems using numerical methods.

• 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.