Abstract
Implications and improvements of edge brightening effects led by $Q$ factor minimization restricted to keep the same level of directivity for high efficiency continuous circular aperture distributions are here reported. In this manner, an optimization strategy for a minimum $Q$ value–keeping the same level of efficiency and restricting the maximum sidelobe level ( SLL )– is envisaged. As application of the method, a design procedure devoted to reduce the $Q$ factor of the antenna aperture distributions while keeping a high level of efficiency is outlined. Then, these optimal Taylor distributions are used as initial point to develop an optimization strategy. This procedure is devoted to search Taylor-like distributions which offer a good compromise between low $Q$ factor and high efficiency values with potentials for the antenna design scenario, based on a decrease in edge brightening effects led by the minimization of the aforementioned $Q$ ratio.
Highlights
The presence of edge brightening effects in continuous aperture distributions introduces problems in terms of practical realization of different array patterns [1].parameters as directivity must be taken into account into a synthesis procedure for improving the performance of these design techniques.Alternatively, the so-called Q factor represents a crucial parameter in the antenna design arena
The main novelties of this contribution are as follows: 1) a closed-form equation by means of a well-defined finite integral of the Q factor parameter for circular aperture distributions so as to yield a less complex evaluation; 2) the definition of a robust optimization method for obtaining high efficient distributions which present improved edge brightening effects
The proposed optimization process can be understood as a single objective problem (SOP) [24] and it can be summarized as follows: 1. As starting point, a circular Taylor pattern is established by selecting the nvalue which brings the maximum efficiency for a certain sidelobe level (SLL). u0n denotes the roots of this pattern
Summary
The presence of edge brightening effects in continuous aperture distributions introduces problems in terms of practical realization of different array patterns [1]. The main novelties of this contribution are as follows: 1) a closed-form equation by means of a well-defined finite integral of the Q factor parameter for circular aperture distributions so as to yield a less complex evaluation (with high potentials, if we mainly think about introducing this property in optimization procedures); 2) the definition of a robust optimization method for obtaining high efficient distributions which present improved edge brightening effects. Towards this end, the paper is organized as follows.
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