This book present the lecture notes utilized in two packages that the late Professor Kasra Barkeshli had offered at Sharif School of Know-how, particularly, Advanced Electromagnetics and Scattering Theory. The prerequisite for the sequence is vector calculus and electromagnetic fields and waves. Some familiarity with Inexperienced's options and integral equations is fascinating nevertheless not wanted.
The book provides a fast nevertheless concise introduction to classical topics inside the topic. It is divided into three parts along with annexes. Half I covers principle of electromagnetic idea. The dialogue begins with a analysis of the Maxwell's equations in differential and integral varieties and main boundary circumstances. The reply of inhomogeneous wave equation and quite a few topic representations along with Lorentz's potential options and the Inexperienced's carry out method are talked about subsequent. The reply of Helmholtz equation and wave harmonics adjust to. Subsequent, the book presents plane wave propagation in dielectric and lossy media and quite a few wave velocities. This half concludes with a primary dialogue of planar and spherical waveguides.
Half II presents main concepts of electromagnetic scattering precept. After a fast dialogue of radar equation and scattering cross half, the author critiques the canonical points in scattering. These embrace the cylinder, the wedge and the sphere. The sting state of affairs for the electromagnetic fields inside the neighborhood of geometric discontinuities are talked about. The author moreover presents the low frequency Rayleigh and Born approximations. The integral equation method for the formulation of scattering points is launched subsequent, adopted by an introduction to scattering from periodic buildings.
Half III is devoted to numerical methods. It begins with finite-distinction methods to unravel elliptic equations, and introduces the finite-distinction time-space method for the reply of hyperbolic and parabolic equations. Subsequent, the half turns to the tactic of moments for the reply of integral equations. This half ends with a short introduction to the finite-issue method.
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