List of Examples
Preface
7 Radiation from Vibrating Bodies7.1 Spherical Harmonics7.1.1 Separation of Variables7.1.2 Description of the Pressure Field7.1.3 Arbitrary Spatial Dependence7.2 Radiation from a Spherical Body7.2.1 Analysis7.2.2 Important Limits7.2.3 Symmetry Plane
7.2.4 Interaction with an Elastic Spherical Shell 7.3 Radiation from an Infinite Cylinder7.3.1 Separation of Variables7.3.2 Transverse Dependence-Cylindrical Bessel Functions7.3.3 Radiation due to a Helical Surface Wave7.3.4 Axially Periodic Surface Vibration 7.3.5 Finite Length Effects 7.4 Kirchhoff-Helmholtz Integral Theorem7.4.1 Derivation for an Acoustic Cavity7.4.2 Acoustic Radiation into an Exterior Domain7.5 Numerical Methods for Radiation from Arbitrary Objects7.5.1 Source Superposition7.5.2 Boundary Element Method7.5.3 Finite Element Method7.6 Homework Exercises
8 Radiation from a Source in a Baffle8.1 The Rayleigh Integral8.2 Farfield Directivity8.2.1 Cartesian Coordinate Description8.2.2 Farfield of a Piston Transducer8.3 Axial Dependence for a Circular Transducer8.4 An Overall Picture of the Pressure Field8.5 Radiation Impedance of a Circular Piston8.6 Time Domain Rayleigh Integral8.7 Homework Exercises
9 Modal Analysis of Waveguides9.1 Propagation in a Horn9.1.1 The Webster Horn Equation9.1.2 Exponential Horn9.1.3 Group Velocity9.1.4 WKB Solution for an Arbitrary Horn9.2 Two-Dimensional Waveguides9.2.1 General Solution9.2.2 Rigid Walls9.2.3 Interpretation9.2.4 Flexible Walls9.2.5 Orthogonality and Signal Generation9.3 Three-Dimensional Waveguides9.3.1 General Analytical Procedure9.3.2 Rectangular Waveguide9.3.3 Circular Waveguide9.4 Homework Exercises
10 Modal Analysis of Enclosures10.1 Fundamental Issues10.1.1 Wall-Induced Signals10.1.2 Source Excitation10.2 Frequency-Domain Analysis Using Forced Cavity Modes10.2.1 Rectangular Enclosures10.2.2 Spherical Cavities10.2.3 Cylindrical Enclosures10.3 Analysis Using Natural Cavity Modes10.3.1 Equations Governing Cavity Modes10.3.2 Orthogonality10.3.3 Analysis of the Pressure Field10.3.4 Rectangular Cavity10.3.5 Cylindrical Cavity10.3.6 Spherical Cavity10.4 Approximate Methods10.4.1 The Rayleigh Ratio and Its Uses10.4.2 Dowell's Approximation10.5 Homework Exercises
11 Geometrical Acoustics11.1 Basic Considerations: Wavefronts and Rays11.1.1 Field Equations for an Inhomogeneous Fluid11.1.2 Reflection and Refraction of Rays11.2 Propagation in a Vertically Stratified Medium11.2.1 Snell's Law for Vertical Heterogeneity11.2.2 Intensity and Focusing Factor11.3 Arbitrary Heterogeneous Fluids11.3.1 Ray Tracing Equations11.3.2 Amplitude Dependence11.4 Fermat's Principle11.5 Homework Exercises
12 Scattering12.1 Background12.2 Scattering by Heterogeneity12.2.1 General Equations12.2.2 The Born Approximation12.3 Rayleigh Scattering Limit12.3.1 The Rayleigh Limit of the Born Approximation12.3.2 Mismatched Heterogeneous Region
About the Author: Jerry H. Ginsberg's technical education began at the Bronx High School of Science, from which he graduated in 1961. This was followed by a B.S.C.E. degree in 1965 from the Cooper Union, and an E.Sc.D. degree in engineering mechanics from Columbia University in 1970, where he held Guggenheim and NASA Fellowships. From 1969 to 1973 he was an Assistant Professor in the School of Aeronautics, Astronautics, and Engineering Science at Purdue University. He then transferred to Purdue's School of Mechanical Engineering, where he was promoted to Associate Professor in 1974. In the 1975-1976 academic year, he was a Fulbright-Hayes Advanced Research Fellow at the École Nationale Supérieure d'Électricité et de Mécanique in Nancy, France. He came to Georgia Tech in 1980 as a Professor in the School of Mechanical Engineering, which awarded him the George W. Woodruff Chair in 1989. He retired in June 2008. His prior publications include five textbooks in statics, dynamics, and vibrations, most in several editions, as well as more than one hundred twenty refereed papers covering these subjects. Dr. Ginsberg became a Fellow of the Acoustical Society of America in 1987, and a Fellow of the American Society of Mechanical Engineers in 1989. The awards and recognitions he has received include Georgia Tech Professor of the Year (1994), ASEE Archie Higdon Distinguished Educator in Mechanics (1998), ASA Trent-Crede Medal (2005), ASME Per Bruel Gold Medal in Noise Control and Acoustics (2007), and the ASA Rossing Prize in Acoustics Education (2010). In addition to his technical activities, he is an exceptional photographer.