A surface integral equation method for dielectrics at low frequencies

Computational Electromagnetics;Integral Equation;Augmented electric field integral equation;Dielectrics;Conductors

Xia, Tian ; Chew ; Weng C.

关键词: Computational Electromagnetics;    Integral Equation;    Augmented electric field integral equation;    Dielectrics;    Conductors;   

Others  :  https://www.ideals.illinois.edu/bitstream/handle/2142/72907/Tian_Xia.pdf?sequence=1&isAllowed=y

美国|英语

来源: The Illinois Digital Environment for Access to Learning and Scholarship

【 摘 要 】

This thesis is dedicated to using surface integral equations to solve electro-magnetic problems involved in integrated circuits. Since normally the sizesof the devices in this application are much smaller than the wavelength ofthe electromagnetic waves, special considerations are needed because of thelow frequency breakdown.The augmented technique, a useful remedy for low frequency breakdownof the electric field integral equation is introduced as the background of thisthesis. This augmented electric field integral equation provides a simple solu-tion for broadband electromagnetic simulation of perfect electric conductorstructures. This thesis presented here exploits the augmented method forlossless and lossy dielectrics.The use of the conventional Rao-Wilton-Glisson (RWG) basis function asbasis and testing functions fails because of the testing issue. Instead, theBuffa-Christiansen (BC) basis function is proposed to overcome this diffi-culty. With the combined use of RWG and BC basis functions, a new formu-lation is developed achieving a good convergence and accuracy. For highlylossy medium, however, a new integration scheme and a simple, efficientstrategy with a fast algorithm is adopted. After these treatments, the skindepth of current in the conductive medium can be accurately captured downto very low frequency.