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Integral equation method for the vector wavefield

In Chapter 13 we derived a general integral representation of the frequency domain wavefield (13.92), which can be written for an incident field as [Pg.457]

Note that we can show, by methods analogous to those used in deriving the reciprocity theorem 27 (formula (14.24)) for a scalar wavefield, that Gj satisfies the reciprocity relationship  [Pg.458]

It can be also shown that G is a symmetric tensor (Morse and Feshbach, 1953) in other words  [Pg.458]

Based on these properties of the Green s tensor, we can write expression (14.74) in the equivalent form  [Pg.458]

Applying the integral representation (14.78) to the scattered field satisfying equation (14.73), we obtain [Pg.458]


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