Chapter Two

The wave equation and solutions

Abstract

After a brief introduction, the wave equation that governs the propagation of sound in air is derived. The results are for rectangular, cylindrical, and spherical coordinates. This is followed by the solutions to the wave equation, again in rectangular, cylindrical, and spherical coordinates. Forward and backward traveling waves follow, particularly propagation in tubes. Extensively discussed are freely traveling plane, cylindrical, and spherical waves. The chapter ends with solutions to the wave equation in three dimensions—for rectangular, cylindrical, and spherical coordinates.

Keywords

Helmholtz wave equation; Negative direction; One-dimensional wave equation; Positive direction; ...

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