Abstract
A versatile investigation has been accomplished on the performances of circular, square, triangular and hexagonal electromagnetic bandgap structures (EBGSs). The authors have observed that different EBGSs having an identical etching area perform identically. Therefore, a new definition of the filling factor (FF) has been proposed that yields an identical value of FF and identical performance for various electromagnetic bandgap shapes. After that, a rigorous investigation is carried out to find the optimum value of FF. Ring EBGS; furthermore, is presented as an effective means to improve overall performance. A detail characterisation of these designs is presented in this study, which is missing in the open literature. After meticulously analysing the behaviour of annular ring and square ring patterns, an equation of transforming a ring pattern to its equivalent solid shape (i.e. circular or square) has been established in terms of effective FF. It is observed that ring EBGS and corresponding solid shape fulfil the conviction of identical performance too.
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