Radon transform interpretation of the Physical Optics integral and application to near and far field acoustic scattering problems

Radon transform(RT) interpretation of the physical optics integral and application to near and far field acoustic scattering problems are reported. Closed-form expression of the radiation integral will be found for both acoustically soft and hard surfaces, and it will be shown that as a consequence of the RT interpretation of PO integral, the surface integral reduces to a line integral over the intersection curve. The line integral will be evaluated and analytical formulae for the scattered field will be developed for the triangular patches.