A primary resource for graduate teaching and research in advanced electromagnetic materials, Special Topics in Electromagnetics covers some new methods for treating the interaction of electromagnetic field with materials, as well as biological applications and radar identification using electromagnetic waves. This book supplements its content with detailed mathematical derivation and covers some practical applications.
Contents:
General Maxwell's Equations and Solutions
Vector Wave Functions and Applications
Dyadic Green's Functions and Applications
Biomedical Application of Electromagnetic Waves
Radar Target Identification with Extinction-Pulse (E-Pulse) Method
Readership: Graduate and research students and working professionals interested in the field of electromagnetics.
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Modified Maxwellâs Equations with Magnetic Source Terms
Conventional Maxwellâs equations which express the relations between the field vectors, the electric field
and the magnetic induction
, and the source current density
and charge density Ï are usually written in the following form :
where the displacement vector
and the magnetic field
are defined by
with
as the polarization density,
as the magnetization density, and Δ0 and Ό0 are permittivity and permeability of the free space.
The source current density
and source charge density Ï are related by the equation of continuity:
In a simple medium,
Where Δ and Ό are the permittivity and permeability of the medium.
The Maxwellâs equations expressed in Eqs. (1.1) to (1.4) are not symmetrical mathematically. Equations (1.1) and (1.2) are different in form and so are Eqs. (1.3) and (1.4) as the result. Why? Because the elementary source for the electric field
is different from that of the magnetic field
. Eq. (1.3) implies that
field starts from or terminates at an electric charge Ï. However, Eq. (1.4) implies that
field does not start from or terminate at a magnetic charge. This is due to the fact that there exists no real magnetic charge (or magnetic monopole). In fact, the smallest unit of the magnetic source is a magnetic dipole which is actually an infinitesimal current loop. The situation is depicted in Fig. 1a. This is the conventional thinking even though there are some reports on the discovery of magnetic monopoles. If these reports are verified in the future, it would not alter the following derivation of t...
