A method-of-moments (MoM) analysis is applied to the problem of determining late-time resonances of dielectric bodies of revolution buried in a lossy layered medium, with application to plastic-land-mine identification. To make such an analysis tractable, we have employed the method of complex images to evaluate the layered-medium Green's function. The application of this method to resonant structures characterized by complex resonant frequencies, introduces numerical issues not manifested at real frequencies (i.e., for driven problems) with such discussed here in detail. Numerical results are presented for several buried targets in which we demonstrate, for example, the spiraling character of the resonant frequencies of particular targets as a function of target depth. © 1999 IEEE.