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Substituting in Eq. (10) and retaining only the term centered at + ω PA the PA response becomes Using the Poisson solution from Eq. (9) yields The temporal derivative in Eq. (A.3) can be eliminated via integration by parts: Since Γ varies very slowly with respect to the typical PA impulse response Γ (r ′, t − t ″ ) can be replaced with Γ (r ′, t ).
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