The Foundations of Acoustics

Abstract

Preface The Symbols Historical Introduction I. Equations and Units II. Complex Notation and Symbolic Methods III. Analytic Functions: Their Integration and the Delta Function IV. Fourier Analysis V. Advanced Fourier Analysis VI. The Laplace Transform VII. Intergral Transforms and the Fourier Bessel Series VIII. Correlation Analysis IX. Wiener's Generalized Harmonic Analysis V. Transmission Factor, Filters, and Transients (Kupfmuller’s Theory) XI. Probability Theory, Statistics, and Noise XII. Signals and Signal Processing XIII. Sound XIV. The One-Dimensional Wave Equation and Its Solutions XV. Reflection and Transmission of Plane Waves at Normal Incidence XVI. Plane Waves in Three Dimensional XVII. Sound Propagation in Ideal Channels and Tubes XVIII. Spherical Waves, Sources, and Multipoles XIX. Solution of the Wave Equation in General Spherical Coordinates XX. Problems of Practical Interest in General Spherical Coordinates XXI. The Wave Equation in Cylindrical Coordinates and Its Applications XXII. The Wave Equation in Spheroidal Coordinates and Its Solutions XXIII. The Helmholtz Huygens Integral XXIV. Huygens Principle and the Rubinowicz—Kirchhoff Theory of Diffraction XXV. The Sommerfeld Theory of Diffraction XXVI. Sound Radiation of Arrays and Membranes XXVII. The Green's Functions of the Helmholtz Equation and Their Applications XXVIII. Self and Mutual Radiation of Impedance Tables References Subject Index List of Symbols