Mom Modeling And Fast Algorithm Of Electromagnetic Scattering

Method of Moment(MoM) is the most popular method in analyzing the electromagnetic scattering problems. This thesis focuses on computing the perfect electric conduct(PEC) scattering fast and exactly, and establishing exact inhomogenous dielectric bodies model, the main works of this thesis are listed as follow:1. Compute the PECs and dielectric bodies scattering with traditional MoM. Staring with the mathematic model of MoM, Introduce the processes of computing the PECs scattering with surface field integral equation and the inhomogenous dielectric bodies scattering with volume electronic field integral equation, then program to implement these processes as well. Present a method that handling the singularity of the self-impedance elements in MoM matrix simply and efficiently also.2. Develop the code of adaptive integral method (AIM) that computes the PEC scattering. Apply AIM in computing the 3-D PECs plans and solid structures scattering. Establish a scheme in basis functions transformation, which enhances the stability of AIM iteration. Reduce the computing complexity of magnetic field integral equation with differential quotient, which makes the computing which combined field integral equation more efficiently. Proposed the numerical results to prove the correctness of this code.3. Improve the MoM model based on potential integral equations for accurately computing electromagnetic scattering by inhomogenous dielectric cylinder. Establish the MoM model with triangle grids, present a scheme of testing which enhance the stability of this model. Apply high order interpolation basises in this model, propose a efficient method, which improve the computing precision, handling the singularity of self-impedance elements. Also develop the code that computing the electromagnetic scattering of inhomogenous dielectric cylinders to prove the model can compute accurately in two dimension situation.