Paper Title:

Application of Precise Integration in Dielectric Layer PBG Structure in a Waveguide

Periodical Key Engineering Materials (Volumes 462 - 463)
Main Theme Fracture and Strength of Solids VII
Edited by Ahmad Kamal Ariffin, Shahrum Abdullah, Aidy Ali, Andanastuti Muchtar, Mariyam Jameelah Ghazali and Zainuddin Sajuri
Pages 512-517
DOI 10.4028/www.scientific.net/KEM.462-463.512
Citation Hong Wei Yang et al., 2011, Key Engineering Materials, 462-463, 512
Online since January, 2011
Authors Hong Wei Yang, Lian Chun Long
Keywords Edge Element, Hamiltonian System, PBG Structure, Precise Integration, Waveguide
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Abstract

In this paper, precise integration in a symplectic system is used to analyze the stop-band characteristic of the dielectric layer PBG structure in a waveguide. The transverse section is made discrete by using edge elements. The stiff matrices of a dielectric layer and an air layer can be calculated by precision integration based on Riccati equations in a Hamiltonian system. The export stiff matrices of a period can be obtained by a combination of substructures, and then the whole structure can be solved. The stop-band characteristic of a dielectric layer PBG structure in a waveguide is obtained and the effects of the size of period and the number of periods are discussed. The examples presented show that this method is precise and efficient.