By Yuriy K. Sirenko
The crucial target of the booklet is to explain new actual and powerful algorithms for open resonant constructions with considerably elevated potency. those algorithms let the extraction of entire details with expected accuracy in regards to the scattering of temporary electromagnetic waves by means of advanced items. The decision and visualization of the electromagnetic fields, constructed for lifelike types, simplify and considerably accelerate the answer to a large category of primary and utilized difficulties of electromagnetic box theory.
The booklet provides a scientific method of the research of electromagnetic waves scattering which are brought in undergraduate/postgraduate schooling in theoretical and utilized radiophysics and diversified complex engineering classes on antenna and wave-guide expertise. On a broader point, the publication may be of curiosity to scientists in optics, computational physics and utilized mathematics.
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Additional info for Modeling and Analysis of Transient Processes in Open Resonant Structures: New Methods and Techniques
It is efficient for concrete targets that are preliminarily prospected and placed into the hard coordinate system. To pave the way for wider use is the task for other, more refined, approaches and methods, allowing us to determine uniquely the effect of various factors, to react soundly on the eventual changes in the course of numerical experiments, and to accumulate knowledge about the physics of modeled processes. The FDTD method serves electromagnetic theory, however, to the same extent, electromagnetic theory itself has to serve this method.
Rivkind, F. John, P. Lax, L. G. A. Hyman, S. Kaplan, and others. 29) for scatterers whose geometry is illustrated by Fig. 48) at the mesh points (g jk = y j , z k ∈ Q(h, T ) on the time layers tm = ml, m = 0, 1, . . , M − 1 = T /l. 49) ⎩ U ( j, k, m) = 0; g jk ∈ S(h, T ), m = 0, 1, . . , the difference form of the initial and boundary conditions). Here, D+ [u] = h −1 [U ( j + 1, k, m) − U ( j, k, m)] y and D− [u] = h −1 [U ( j, k, m) − U ( j − 1, k, m)] y are the standard operators of the right- and left-hand difference derivatives (the t same with obvious changes is true also for D±z [u], D± [u]); y j = j h, z k = kh, j, k = 0, ±1, .
The problem of saving computer resources and enhancing the computation efficiency of the method is well understood. , in the resonance cases ); In the adaptation of the cell configuration to the concrete noncoordinate boundaries [80,83]; In the reduction of the total computation space due to the use of imaginary boundaries that cause only a slight distortion of the modeled process (see below); and In using the advantages of parallel virtual computers. Paper  presents a comparison of the operational characteristics of the Yee algorithm, the equivalent FDTD algorithm for vector wave equations, and the FDTD algorithm for scalar wave equations (zero divergence fields), describes the 28 1.