Shamansky, H. | Search NASA

NASA NTRS1992

A high-frequency ray analysis of the electromagnetic backscattering by a two-dimensional ogive

The electromagnetic backscattering from a two-dimensional ogive is examined, including a mechanism-by-mechanism account for the scattered field. The uniform theory of diffraction is used in conjunction with a simple creeping wave representation to yield a solution which provides an accurate and continuous backscattering result for a wide range of ogive geometry parameters. Although not a rigorous derivation of higher-order diffraction ceofficients, this solution provides insight into the relative contributions of the various creeping waves which are generated and propagate around the two-dimensional ogive. Comparisons with moment method calculations are used to demonstrate the range of applicability of this high-frequency asymptotic solution.

Shamansky, H.↗

NASA NTRS1991

Test functions for the moment method which yield the minimum mean square error

The method of moments has found extensive applications in the solution of a wide class of electromagnetic problems. Additionally, there are a number of basis functions which have found favor and with them different types of testing methods. This work examines the selection of test functions, given a selected set of basis functions, which serve to minimize the mean square error. These test functions will guarantee equal or lesser error compared with any other test function. Additionally, these test functions provide a monotonic improvement of the approximation as the increase in the order of the system. Hence while these test functions require the application of the differential or integral operator one additional time, they provide an absolute lower bound to the mean square error in the approximation and a means to systematically improve accuracy with each increase in the order of the unknowns.

Shamansky, H.↗