Chapter 4

Cylindrical Waves

4.1 Introduction

The application of the wave equation in cylindrical coordinates leads to the solution of many problems of interest in acoustics. Of great interest is the vibration and radiation from submarines, a problem which conforms closely to cylindrical symmetry. The aircraft fuselage also is generally cylindrical and the wave equation is of importance in the interior and exterior domains. Noise control in piping systems and circular ducts also finds extensive use of the wave equation in cylindrical coordinates. Nearfield acoustical holography has been used extensively in this geometry, and has piloted some very significant researches in underwater acoustics since the early 1980s. Some of this work will be ...

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