Applications of the Aharonov Ansatz to antenna theory: Part III

John E. Gray; Kahlil R. Gedin

doi:10.1117/12.2519925

3 May 2019 Applications of the Aharonov Ansatz to antenna theory: Part III

John E. Gray, Kahlil R. Gedin

Proceedings Volume 11003, Radar Sensor Technology XXIII; 1100314 (2019) https://doi.org/10.1117/12.2519925
Event: SPIE Defense + Commercial Sensing, 2019, Baltimore, MD, United States

Abstract

In a previous paper we discussed some potential applications of the Aharonov Ansatz to antenna theory. In this paper we illustrate the method based on the two scattering theoretic operators that formalize what we wish to extract from a return signal. The delay operator and the time warping operator can be used to define the properties of a phased array antennas in terms of steering command (delay operator) its beam shaping by altering the phase delay (warping operator) along an individual aperture. In these terms, the synthesis problem to produce an ideal radiation problem in by using a phased array antenna amounts to solving an inverse problem: taking a desired pattern in the far field and determining what combination of operators acting in combination will produce that pattern. Likewise, if we want to produce an effect in the near field from a given model of an antenna, then we are solving the direct problem of determine how a given radiation pattern induces a current distribution.

Citation Download Citation

John E. Gray and Kahlil R. Gedin "Applications of the Aharonov Ansatz to antenna theory: Part III", Proc. SPIE 11003, Radar Sensor Technology XXIII, 1100314 (3 May 2019); https://doi.org/10.1117/12.2519925

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