Multigrid Analysis of Scattering by Large Planar Structures
نویسندگان
چکیده
Fast iterative analysis of two-dimensional scattering by a large but finite array of perfectly conducting strips requires efficient evaluation of the electric field. We present a novel multigrid algorithm that carries out this task in CN computer operations, where C depends logarithmically on the desired accuracy in the field, and N is the number of spatial gridpoints. Numerical results are presented, and extensions of the algorithm are discussed. Key terms: computational electromagnetics, fast multilevel summation, oscillatory kernels. †Department of Computer Science and Applied Mathematics, The Weizmann Institute of Science, Rehovot 76100, Israel. Fax: +972-8-9344122 ‡Department of Physical Electronics, Tel-Aviv University, Tel-Aviv, Israel. Email address: [email protected] §Email address: [email protected] ¶Email address: [email protected] 1 OREN E. LIVNE ET AL.: MULTIGRID ANALYSIS OF SCATTERING 2
منابع مشابه
Multigrid Analysis of Scattering by Large Quasi-Planar Structures
We present a novel multigrid algorithm for the fast evaluation of the electrical field, required for the iterative analysis of threedimensional scattering by a large but finite quasi-planar structure, whose height is small compared with its length and width. The algorithm is an extension of the two-dimensional version presented in [6], maintaining linear scaling with the number of spatial gridp...
متن کاملGeneral Formulation to Investigate Scattering from Multilayer Lossy Inhomogeneous Metamaterial Planar Structures
This paper presents a general formulation to investigate the scattering from Multilayer Lossy Inhomogeneous Metamaterial Planar Structure (MLIMPS) with arbitrary number of layers and polarization. First, the dominating differential equation of transverse components of electromagnetic fields in each layers derived. Considering the general form of solution of the differential equations and the bo...
متن کاملHELICITY AND PLANAR AMPLITUDES IN PION-PROTON SCATTERING AT 6.0 GeV/c
In addition to optimal conditions, invariant laws of Lorentz, parity and time reversal are imposed to find the relation between observables (spin rotation parameters) and bilinear combination of helicity amplitudes in pion-proton elastic scattering at 6.0 GeV/c. By normalizing the differential cross-section to unity, the magnitudes of helicity amplitudes and the angle between them are dete...
متن کاملSYMBIOTIC ORGANISMS SEARCH AND HARMONY SEARCH ALGORITHMS FOR DISCRETE OPTIMIZATION OF STRUCTURES
In this work, a new hybrid Symbiotic Organisms Search (SOS) algorithm introduced to design and optimize spatial and planar structures under structural constraints. The SOS algorithm is inspired by the interactive behavior between organisms to propagate in nature. But one of the disadvantages of the SOS algorithm is that due to its vast search space and a large number of organisms, it may trap i...
متن کاملA Mathematical Modeling for Plastic Analysis of Planar Frames by Linear Programming and Genetic Algorithm
In this paper, a mathematical modeling is developed for plastic analysis of planar frames. To this end, the researcher tried to design an optimization model in linear format in order to solve large scale samples. The computational result of CPU time requirement is shown for different samples to prove efficiency of this method for large scale models. The fundamental concept of this model is ob...
متن کامل