Hd. Ngo et Cl. Rino, APPLICATION OF THE MUTUAL-INTERACTION METHOD TO A CLASS OF 2-SCATTERER SYSTEMS .2. SCATTERER NEAR AN INTERFACE, Waves in random media, 5(1), 1995, pp. 107-123
This paper applies the methodology developed in Part I to the problem
of a separable scatterer near a dielectric (penetrable) or perfectly c
onducting (impenetrable) interface. For a penetrable interface, the sc
atterer may be on either side of the interface (exposed or embedded).
As in Part I, the scatterer may also be an active element. Thus, our s
olutions extend the classic treatments of dipoles radiating near a pla
nar dielectric interface. The mutual-interaction method accommodates a
uniform half-space as an equivalent scattering plate of zero thicknes
s that preserves amplitudes and phases of the transmitted and reflecte
d waves. Because this scattering function necessarily includes a Dirac
delta function, exact analytic solutions are possible for the class o
f separable scatterers, which include isotropic scatterers and electri
c or magnetic dipoles. The results can be interpreted within the conte
xt of image theory. Integrals similar to those derived by Sommerfeld m
ust be evaluated to calculate the spatial fields for dielectric media;
however, for highly conducting media good approximations are readily
obtained.