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In this appendix, we derive the scalar Kirchhoff-Helmholtz integral (KHI), equation 14 of Chapter 6, for isotropic, elastic elementary waves, from the general anisotropic representation theorem (Aki and Richards, 1980). Because the concepts are similar or identical to those discussed in Appendix F: “Derivation of the scalar elastic Kirchhoff integral,” we do not repeat them here in detail. We use Einstein’s summation convention.

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