Fundamentals of Acoustic Field Theory and Space-Time Signal Processing

Lawrence J. Ziomek

Part IACOUSTIC FIELD THEORY: The Linear Wave Equation and Fundamental Acoustical Quantities: Equations of Motion. Equation of Continuity. Equation of State and the Speed of Sound. Derivation of the Linear Wave Equation. Time-Average Intensity Vector and Time-Average Power. Sound-Pressure Level, Source Level, Transmission Loss, and Sound-Intensity Level. Problems. Appendices. Bibliography. Wave Propagation in the Rectangular Coordinate System: Solution of the Linear Three-Dimensional Homogeneous Wave Equation. Free-Space Propagation. Reflection and Transmission Coefficients. The Rectangular Cavity. Waveguide with Rectangular Cross-Sectional Area. The Time-Independent Free-Space Green's Function. Solution of the Linear Three-Dimensional Inhomogeneous Wave Equation with Arbitrary Source Distribution. Integral Representations of the Time-Independent Free-Space Green's Function in Rectangular Coordinates. Problems. Appendices. Bibliography. Wave Propagation in the Cylindrical Coordinate System: Solution of the Linear Three-Dimensional Homogeneous Wave Equation. Free-Space Propagation. The Cylindrical Cavity. Waveguide with Circular Cross-Sectional Area. Scattering by a Cylinder. Integral Representations of the Time-Independent Free-Space Green's Function in Cylindrical Coordinates. Reflection and Transmission of Spherical Waves at Planar Boundaries. Waveguide Models of the Ocean: Normal Modes. Waveguide Model of the Ocean: Full-Wave Solution. Problems. Appendices. Bibliography. Wave Propagation in the Spherical Coordinate System: Solution of the Linear Three-Dimensional Homogeneous Wave Equation. Free-Space Propagation. The Spherical Cavity. Scattering by a Sphere. Problems. Bibliography. Wave Propagation in Inhomogeneous Media: The WKB Approximation. Ray Acoustics. The Parabolic Equation Approximation. Problems. Appendices. Bibliography. Part IISPACE-TIME SIGNAL PROCESSING: Complex Aperture Theory: Coupling Transmitted and Received Electrical Signals to the