Investigation Of The Composite Scattering From 1D Rough Surface And Object By The Method Of Moment And Its Fast Algorithms

In this thesis, the properties of the composite scattering from a one-dimensional (1-D) rough surface with or without a two-dimensional (2-D) object are investigated by the method of moment (MOM) and its fast algorithms. Firstly, the characteristics of the electromagnetic (EM) scattering from a 1-D perfectly electric contour (PEC) or a 1-D dielectric rough surface is examined. The composite scattering from a 1-D single-layered or two-layered dielectric rough surface and a 2-D object is calculated. Finally, the parallel algorithm and the multiregion technique are applied to compute the composite scattering of the 1-D rough surface and the 2-D object. Main works of this thesis are as following:1. The fundamental of the MOM and the fast multipole method (FMM) are presented. The integral equations and the matrix equations for calculating the EM scattering from a 1-D PEC rough surface are provided in detail. The implementation of calculating EM scattersing from the 1-D PEC rough surface has been described in detail.2. The bistatic scattering from a 1-D dielectric rough surface is calculated by the fast FMM. The processes of obtaining the composite scattering from a 2-D PEC object located above, below or embedded in the 1-D dielectric rough surface through the MOM are given in detail. The influences of the parameters of the rough surface and the object on the composite scattering are illustrated.3. The integral equations and the matrix equations for calculating the EM scattering from a 1-D multi-layered rough surface with or without 2-D PEC object are derived. The properties of the EM scattering from two-layered rough surface are discussed. The composite scattering from the 2-D object located above, below and between the two rough surfaces is computed. Finally, the influences of the parameters of the rough surfaces and the object, as well as the average height between the two rough surfaces and the medium on the composite scattering are discussed.4. The parallel algorithm and the multiregion technique have been introduced to compute the composite scattering of the 1-D rough surface and the 2-D object. The solution to the above scattering problem by these fast algorithms has been presented in detail. The advantage in the computing time of these fast algorithms is presented, and the influences of the parameters of the rough surface and the object are discussed.