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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 7. ApproximateMethods for InhomogeneousMedia: Ray and WKB Theory

How far that little candle throws his beams!William Shakespeare, 1564–1616

Our life is frittered away by detail.…Simplify, simplify.Henry David Thoreau, 1817–1862

7.1 Introduction

In this chapter, we focus on the problem of wave propagation in a medium for which the index of refraction is a continuously varying function of depth. This discussion will complete a theoretical picture which has concentrated so far on applications to homogeneous media separated by discrete interfaces. We are also motivated by practical considerations, in that both the water column as well as layers within the seabed are excellent examples of media with continuously variable sound velocities. ...

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