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Kasra Barkeshli
Advanced Electromagnetics
and Scattering Theory
Edited by
Sina Khorasani
These are the lecture notes used in two courses I have offered in the past ten years at
Sharif University of Technology, namely Advanced Electromagnetics and Scat
tering Theory. These courses are usually taken by the first- and second-year
graduate students in the communications group. The prerequisite for the sequence is
vector calculus and electromagnetic fields and waves. Some familiarity with
Green’s functions and integral equations is desirable but not necessary.
This manuscript is meant to provide a brief but concise introduction to classical
topics in the field. It is divided into two parts including annexes. Part I covers
principles of Electromagnetic Theory. The discussion starts with a review of the
Maxwell’s equations in differential and integral forms and basic boundary condi
tions. The solution of inhomogeneous wave equation and various field represen
tations, including Lorentz’s potential functions and the Green’s function method,
are discussed next. The solution of Helmholtz equation and wave harmonics follow.
Plane wave propagation in dielectric and lossy media and various wave velocities
are presented next. This part concludes with a general discussion of planar and
circular waveguides.
Part II presents basic concepts of electromagnetic Scattering Theory. After a
brief discussion of radar equation and scattering cross-section, we review the
canonical problems in scattering. These include the cylinder, the wedge, and the
sphere. The edge condition for the electromagnetic fields in the vicinity of geo
metric discontinuities are discussed. We also present the low frequency Rayleigh
and Born approximations. The integral equation method for the formulation of
scattering problems is presented next, followed by an introduction to scattering
from periodic structures.
In preparing these notes, I have benefited from the contribution of two
respectable groups of individuals. First, I have been fortunate enough to learn
electromagnetic theory under a number of distinguished scholars at The University
of Michigan. I am indebted to Profs. Chen-To Tai, Dipak Sengupta, and Thomas B.
A. Senior. I am also thankful to my research advisor at Radiation Laboratory, Prof.
John L. Volakis. I have been influenced directly by their style of approach, although
all the shortcomings and mistakes which may be encountered in this work are those
of mine.
Next, I am indebted to my students at Sharif University of Technology whose
enthusiasm has contributed significantly to the refinement of my original notes.
Tehran, Iran, December 2002 Kasra Barkeshli
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