The Method of Lines (MOL) is a versatile approach to obtaining numerical
solutions to partial differential equations (PDEs) as they appear in
dynamic and static problems. This method, popular in science and
engineering, essentially reduces PDEs to a set of ordinary differential
equations that can be integrated using standard numerical integration
methods. Its significant advantage is that the analysis algorithms
follow the physical wave propagation and are therefore efficient. This
is because the fields on the discretisation lines are described by
generalised transmission line (GTL) equations. With this formulation we
have a connection to the well known transmission line theory and
resulting in an easy understanding.
The method of lines is a very accurate and powerful way to analyze
electromagnetic waves, enabling a full-wave solution without the
computational burden of pure finite element or finite difference
methods.
With Analysis of Electromagnetic Fields and Waves, Reinhold Pregla
describes an important and powerful method for analyzing electromagnetic
waves. This book:
- Describes the general analysis principles for electromagnetic fields.
- Includes applications in microwave, millimetre wave and optical
frequency regions.
- Unifies the analysis by introducing generalised transmission line
(GTL) equations for all orthogonal coordinate systems and with
materials of arbitrary anisotropy as a common start point.
- Demonstrates a unique analysis principle with the numerical stable
impedance/admittance transformation and a physical adapted field
transformation concept that is also useful for other modelling
algorithms.
- Includes chapters on Eigenmode calculations for various waveguides,
concatenations and junctions of arbitrary number of different
waveguide sections in complex devices, periodic structures (e.g. Bragg
gratings, meander lines, clystron resonators, photonic crystals),
antennas (e.g. circular and conformal).
- Enables the reader to solve partial differential equations in other
physical areas by using the described principles.
- Features an accompanying website with program codes in Matlab(c) for
special problems.
Analysis of Electromagnetic Fields and Waves will appeal to
electromagnetic field practitioners in primary and applied research as
well as postgraduate students in the areas of photonics, micro- and
millimetre waves, general electromagnetics, e.g. microwave integrated
circuits, antennas, integrated and fibre optics, optoelectronics,
nanophotonics, microstructures, artificial materials.
