Thisbook deals with the design and analysis of fractal apertures
in waveguides, conducting screens and cavities using numerical
electromagnetics and field-solvers. The aim is to obtain design
solutions with improved accuracy for a wide range of applications.
To achieve this goal, a few diverse problems are considered. The
book is organized with adequate space dedicated for the design and
analysis of fractal apertures in waveguides, conducting screens and
cavities, microwave/millimeter wave applications followed by
detailed case-study problems to infuse better insight and
understanding of the subject. Finally, summaries and suggestions
are given for future work.
Fractal geometries were widely used in electromagnetics,
specifically for antennas and frequency selective surfaces (FSS).
The self-similarity of fractal geometry gives rise to a multiband
response, whereas the space-filling nature of the fractal
geometries makes it an efficient element in antenna and FSS unit
cell miniaturization. Until now, no efforts were made to study the
behavior of these fractal geometries for aperture coupling
problems. The aperture coupling problem is an important boundary
value problem in electromagnetics and used in waveguide filters and
power dividers, slotted ground planes, frequency selective surfaces
and metamaterials. The present book is intended to initiate a study
of the characteristics of fractal apertures in waveguides,
conducting screens and cavities.
To perform a unified analysis of these entirely dissimilar
problems, the generalized network formulation of the aperture
problems by Mautz and Harrington was extended to multiple-aperture
geometry. The authors consider the problem of coupling between two
arbitrary regions coupled together via multiple apertures of
arbitrary shape. MATLAB codes were developed for the problems and
validated with the results available in the literature as well as
through simulations on ANSOFT's HFSS."
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