Modified Helmholtz integral equation for bodies sitting on an infinite plane

This article presents a modified version of the Helmholtz integral equation for bodies sitting on an infinite plane. By using dummy integration elements on the bottom surface, the coefficient C{P) of the Helmholtz integral equation can be evaluated by a closed contour. Two different integral forms for C(P) are derived for P off the infinite plane and on the infinite plane, respectively. Numerical results for radiation and scattering from bodies of several different shapes sitting on a rigid, infinite plane are given to verify this formulation.