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Fractal array antenna design methodology is an artistic type of design methodology. Hence fractal array antennas are also called as artistic array antennas. This article proposes a concentric elliptical ring sub array generator geometric design methodology for a methodical expansion of multibeam fractal array antennas. Using this new geometric design methodology, any polygon shape can be constructed. This geometric design methodology provides a systematic approach for multiple beams of fractal array antennas, with unit amplitude constriction, using multi-beam sub arrays and without any increase in hardware complication. In this paper, a four-element rhombus fractal array antenna is examined using a proposed design methodology up to four concurrent iterations and for different eccentric values. Due to the recursive nature of the proposed methodology, the rhombus fractal array antenna shows multi-beam performance with abatement of beam width and better side-lobe levels. In the third and fourth iterations of the rhombus fractal array with expansion factor two, beamwidth reached single digit values of 7.2 • , 3.6 • with side-lobe level angles of 15.5 • and 8.1 • , respectively. The behavior of the proposed array shows better performance than four-element fractal array antenna generated by concentric circular subarray generator. The proposed fractal array antennas are analyzed and simulated by MATLAB programming.

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