Abstract
In the present work, the theoretical basis of the multiplicity of solutions obtained from an initial real symmetric distribution is derived. This initial solution is devoted to generating an equivalent pure real shaped-beam pattern for a concrete synthesis scenario. However, these new solutions are not based on real symmetric distributions; hence, not based on the generation of pure real patterns. The bandwidth performances and tolerance to errors provided by the multiple solutions in the array design are analyzed by considering different architectures, also including mutual coupling models and element factor expressions due to accuracy purposes. In addition, a technique to obtain efficient linear arrays by designing resonant structures is addressed. Examples involving both standard linear arrays of half-wavelength cylindrical dipoles and resonant linear arrays generating flat-top beam patterns are reported and discussed. Additionally, an extension to planar arrays performed by means of a generalisation of the Baklanov transformation through collapsed distribution techniques inspired in the well-known method devised by Tseng and Cheng is performed. In such a way, an analysis of the quality of solutions for generating circular and elliptical footprints with controlled both SLL and ripple which are highly interesting in the framework of space vehicle applications.
Highlights
Shaped-beam array patterns are widely-used for antenna and radar applications
Attending the quality of the results offered by this new procedure, both bandwidth and tolerance analyses of the entire multiplicity of solutions are here proposed
Bandwidth studies, tolerance analysis, and a direct extension to planar arrays by including cases derived from an initial synthesis of a pure real far field power radiation pattern have been performed
Summary
Shaped-beam array patterns are widely-used for antenna and radar applications. More precisely, they represent a very interesting solution in satellite application for providing a uniform coverage of a certain region on the surface of the Earth or similar. An extension to both circular and elliptical footprint patterns by means of a generalized procedure of the well-known Tseng and Cheng methodology [17] are applied In such a way, the performance of the different solutions to produce extended 2-D far field patterns will add impact to the present study, motivating the provided development for space vehicle applications in order to facilitate both practical realisation and power consumption. For understanding the potentials of the multiplicity of solutions created by means of a distribution generating a pure real shaped-beam pattern, a tolerance analysis is here proposed As it was already mentioned, the lack of modelling mutual coupling effects, as well as element factors, in previous strategies [22] adds motivation to conduct this specific study. To differentiate between the two scenarios led by an initial real far field pattern the number of elements of the array (10 and 12) will be made explicit on each case
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