Analysis of Electromagnetic Fields and Waves: The Method of Lines (Hardcover)

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. 

「線性方法（Method of Lines，MOL）」是一種獲取偏微分方程（PDEs）數值解的多功能方法，適用於動態和靜態問題。這種方法在科學和工程領域廣受歡迎，它將PDEs基本上化簡為一組可以使用標準數值積分方法進行積分的常微分方程。它的重要優勢在於分析算法遵循物理波傳播，因此效率高。這是因為離散化線上的場被廣義傳輸線（GTL）方程描述。通過這種形式，我們與眾所周知的傳輸線理論有關，從而易於理解。

「線性方法」是分析電磁波的一種非常準確和強大的方法，可以實現全波解，而不需要純有限元或有限差分方法的計算負擔。

在《電磁場和波的分析》一書中，Reinhold Pregla描述了一種重要且強大的分析電磁波的方法。本書包括以下內容：
- 描述電磁場的一般分析原則。
- 包括在微波、毫米波和光學頻率範圍的應用。
- 通過引入所有正交坐標系統和任意各向異性材料的廣義傳輸線（GTL）方程作為共同起點，統一了分析方法。
- 通過數值穩定的阻抗/導納轉換和適應物理場轉換概念，展示了一種獨特的分析原則，這對於其他建模算法也很有用。
- 包括關於各種波導的本徵模計算、複雜設備中任意數量不同波導段的串聯和連接、周期結構（例如布拉格光柵、曲線線、回旋腔、光子晶體）、天線（例如圓形和符合形狀）的章節。
- 使讀者能夠使用所描述的原則解決其他物理領域的偏微分方程。
- 附帶網站提供Matlab©程式碼，用於特殊問題。

《電磁場和波的分析》將吸引電磁場領域的從業人員和應用研究人員，以及光子學、微波和毫米波、一般電磁學（例如微波集成電路、天線、集成光纖和光電子學、納米光子學、微結構、人工材料）領域的研究生。