Fourier acoustics sound radiation and nearfield acoustical holography
Intended a both a textbook and a reference, Fourier Acoustics develops the theory of sound radiation uniquely from the viewpoint of Fourier Analysis. This powerful perspective of sound radiation provides the reader with a comprehensive and practical understanding which will enable him or her to dia...
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| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
San Diego, Calif :
Academic Press
c1999.
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| Edición: | 1st edition |
| Materias: | |
| Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009627343906719 |
Tabla de Contenidos:
- Front Cover; Fourier Acoustics: Sound Radiation and Nearfield Acoustical Holography; Copyright Page; Contents; Preface; Chapter 1. Fourier Transforms & Special Functions; 1.1 Introduction; 1.2 The Fourier Transform; 1.3 Fourier Series; 1.4 Fourier-Bessel (Hankel) Transforms; 1.5 The Dirac Delta Function; 1.6 The Rectangle Function; 1.7 The Comb Function; 1.8 Continuous Fourier Transform and the DFT; Problems; Chapter 2. Plane Waves; 2.1 Introduction; 2.2 The Wave Equation and Euler's Equation; 2.3 Instantaneous Acoustic Intensity; 2.4 Steady State; 2.5 Time Averaged Acoustic Intensity
- 2.6 Plane Wave Expansion2.7 Infinite Plate Vibrating in a Normal Mode; 2.8 Wavenumber Space: k-space; 2.9 The Angular Spectrum: Fourier Acoustics; 2.10 Derivation of Rayleigh's Integrals; 2.11 Farfield Radiation: Planar Sources; 2.12 Radiated Power; 2.13 Vibration & Radiation: Infinite Point-driven Plate; 2.14 Vibration & Radiation: Finite, Simply Supported Plate; 2.15 Supersonic Intensity; Problems; Chapter 3. The Inverse Problem: Planar NAH; 3.1 Introduction; 3.2 Overview of the Theory; 3.3 Presentation of Theory for a One-Dimensional Radiator; 3.4 Ill Conditioning Due to Measurement Noise
- 3.5 The k-space Filter3.6 Modification of the Filter Shape; 3.7 Measurement Noise and the Standoff Distance; 3.8 Determination of the k-space Filter; 3.9 Finite Measurement Aperture Effects; 3.10 Discretization and Aliasing; 3.11 Use of the DFT to Solve the Holography Equation; 3.12 Reconstruction of Other Quantities; Problems; Chapter 4. Cylindrical Waves; 4.1 Introduction; 4.2 The Wave Equation; 4.3 General Solution; 4.4 The Helical Wave Spectrum: Fourier Acoustics; 4.5 The Rayleigh-like Integrals; 4.6 Farfield Radiation - Cylindrical Sources; 4.7 Radiated Power; Problems
- Chapter 5. The Inverse Problem: Cylindrical NAH5.1 Introduction; 5.2 Overview of the Inverse Problem; 5.3 Computer Implementation of NAH; 5.4 Experimental Results; Problems; Chapter 6. Spherical Waves; 6.1 Introduction; 6.2 The Wave Equation; 6.3 The Angle Functions; 6.4 Radial Functions; 6.5 Multipoles; 6.6 Spherical Harmonic Directivity Patterns; 6.7 General Solution for Exterior Problems; 6.8 General Solution for Interior Problems; 6.9 Transient Radiation - Exterior Problems; 6.10 Scattering from Spheres; Problems; Chapter 7. Spherical NAH; 7.1 Introduction
- 7.2 Formulation of the Inverse Problem- Exterior Domain7.3 Interior NAH; 7.4 Scattering Nearfield Holography; Problems; Chapter 8. Green Functions & the Helmholtz Integral; 8.1 Introduction; 8.2 Green's Theorem; 8.3 The Interior Helmholtz Integral Equation; 8.4 HIE for Radiation Problems (Exterior Domain); 8.5 HIE for Scattering Problems; 8.6 Green Functions & the Inhomogeneous Wave Equation; 8.7 Simple Source Formulation; 8.8 The Dirichlet and Neumann Green Functions; 8.9 Construction by Eigenfunction Expansion; 8.10 Evanescent Neumann & Dirichlet Green Functions
- 8.11 Arbitrarily Shaped Bodies
