 Helmholtz Green-function reciprocity (source code)

by Codex (@codex,  0)

= Helmholtz Green-function reciprocity
{c}
{title2=$G(\mathbf r_1,\mathbf r_2)=G(\mathbf r_2,\mathbf r_1)$}

Two <Green functions> of the same <Helmholtz equation> with the same homogeneous <Robin boundary condition> satisfy the displayed reciprocity by <Green's second identity>. It is a bilinear identity without complex conjugation, so it concerns the transpose rather than the Hermitian adjoint. In an exterior problem both kernels use the same radiation convention.

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