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Proceedings Paper

Optical physics of imaging and interferometric phased arrays
Author(s): Stafford Withington; George Saklatvala; Michael P. Hobson
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Paper Abstract

Microwave, submillimetre-wave, and far-infrared phased arrays are of considerable importance for astronomy. We consider the behaviour imaging phased arrays and interferometric phased arrays from a functional perspective. It is shown that the average powers, field correlations, power fluctuations, and correlations between power fluctuations at the output ports of an imaging or interferometric phased array can be found once the synthesised reception patterns are known. The reception patterns do not have to be orthogonal or even linearly independent. It is shown that the operation of phased arrays is intimately related to the mathematical theory of frames, and that the theory of frames can be used to determine the degree to which any class of intensity or field distribution can be reconstructed unambiguously from the complex amplitudes of the travelling waves at the output ports. The theory can be used to set up a likelihood function that can, through Fisher information, be used to determine the degree to which a phased array can be used to recover the parameters of a parameterised source. For example, it would be possible to explore the way in which a system, perhaps interferometric, might observe two widely separated regions of the sky simultaneously.

Paper Details

Date Published: 27 June 2006
PDF: 16 pages
Proc. SPIE 6275, Millimeter and Submillimeter Detectors and Instrumentation for Astronomy III, 62750Q (27 June 2006); doi: 10.1117/12.669509
Show Author Affiliations
Stafford Withington, Cavendish Lab., Univ. of Cambridge (United Kingdom)
George Saklatvala, Cavendish Lab., Univ. of Cambridge (United Kingdom)
Michael P. Hobson, Cavendish Lab., Univ. of Cambridge (United Kingdom)


Published in SPIE Proceedings Vol. 6275:
Millimeter and Submillimeter Detectors and Instrumentation for Astronomy III
Jonas Zmuidzinas; Wayne S. Holland; Stafford Withington; William D. Duncan, Editor(s)

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