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Ocean and Seabed Acoustics: A Theory of Wave Propagation by George V. Frisk - Woods Hole Oceanographic Institution

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Chapter 5. The Method ofNormal Modes

That somber theme had to be given a sinister resonance,a tonality of its own, a continued vibration that, Ihoped, would hang in the air and dwell on theear after the last note had been struck.Joseph Conrad, 1902

5.1 Introduction

In the previous chapter, we discussed several techniques for the construction of the Green’s function for the inhomogeneous Helmholtz equation. There is still another approach which is so significant in terms of its physical and mathematical ramifications that its treatment deserves a separate chapter. This is the method of normal modes, which is equivalent to construction of the Green’s function using an eigenfunction expansion. Any wave-mechanical system has associated with it ...

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