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A study of the interaction of the electromagnetic field with slotted cylindrical structures employing the Method of Regularization

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posted on 28.03.2022, 16:06 by Kaiser Lock
The research program described in this thesis analyzes the interaction of the electromagnetic field with several classes of open cylindrical structures, by using the semi-analytical Method of Regularization (MoR). The dielectric cylinders considered in this thesis are partially shielded by conformal perfectly electric conducting (PEC) strips, where significant coupling and re-radiation of energy are created by the presence of apertures and sharp edges. The problems studied include the scattering problem of a single cylindrical lens reflector (CLR) illuminated by an obliquely incident plane wave, the scattering problem of a finite array of CLR with different characteristics when illuminated by a normal plane wave, the analysis of the scattering from and penetration through a multi-layered CLR and a multiconductor cylinder, as well as the transmission line problem involving a multi-conductor cable. Each of the problems studied is interesting from both a theoretical point of view and as an idealization of scattering and coupling mechanism in real devices of technological interest. -- When the structures are of moderate or large electrical size, standard numerical approaches to solving these mixed boundary valued problems (MBVP) often encounter difficulties of convergence and accuracy of computed solution. Therefore, the MoR - which transforms the ill-posed nature of the standard formulation of the problem to a well-conditioned second kind Fredholm matrix equation - is well-suited for the class of problems considered here. Numerical algorithms based upon the solution of the matrix equation, after truncation to a finite system of Ntr equations, converge with guaranteed and predictable accuracy, as Ntr -α. Because the computed solutions to these problems are rigorously accurate (in the sense of guaranteed convergence - theoretically and numerically), they provide benchmark solutions to problems of significant complexity against which solutions computed by more general purpose numerical codes (which although of wider applicability have less firm theoretical underpinnings) may be validated.


Alternative Title

Interaction of EM field with slotted cylinders: MoR

Table of Contents

Introduction -- Mathematical formulations -- 3. Method of regularization -- 4. Scattering from a CLR under oblique incidence -- 5. RCS studies of dielectric cylindrical lens reflectors -- 6. Scattering from a finite array of CLR under normal incidence -- 7. Scattering from and penetration into a multi-conductor cylinder -- 8. Hybrid mode analysis of a multi-conductor microstrip line -- 9. Conclusions.


Bibliography: p. 201-210

Awarding Institution

Macquarie University

Degree Type

Thesis PhD


Thesis (PhD), Macquarie University, Faculty of Science, Department of Mathematics

Department, Centre or School

Department of Mathematics.

Year of Award


Principal Supervisor

Paul Denis Smith

Additional Supervisor 1

Elena D. Vinogradova


Copyright disclaimer: http://www.copyright.mq.edu.au Copyright Kaiser Lock 2012.




1 online resource (vi, 210 p.) ill. (some col.)

Former Identifiers

mq:71629 http://hdl.handle.net/1959.14/1276406