E-raamat: Analysis of Electromagnetic Fields and Waves - The Method of Lines: The Method of Lines [Wiley Online]

The Method of Lines is a numerical method for solving partial differential equations that describe physical phenomena, and Pregla (Fern U., Hagen, Germany) explains how it can be applied to electromagnetic fields and waves. He writes for engineers and graduate students in electrical engineering, applied physics, and mathematics who have a basic knowledge of electromagnetic field theory and wave propagation, partial differential equations, linear algebra, and computer languages like MATLAB. He envisions applications in microwave and optical wave technology. Annotation ©2008 Book News, Inc., Portland, OR (booknews.com)

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© 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.