Phase theory for multiple aperture systems

Computer Science

Scientific paper

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Scientific paper

We establish the groundwork for a phase theory applicable to multiple-aperture systems. To do this, we define ideal behavior as the phase behavior of an off-axis system that has inherent rotational symmetry. Then we examine the phase behavior of a more general system that has only a single plane of symmetry. This system represents a branch of an actual synthetic aperture system. The comparison of the two systems leads to conditions for which the plane symmetric system has ideal behavior. As a result of this comparison, design rules that are commonly applied to multiple aperture systems appear naturally, including the well-known requirement that the exit pupil is a scaled copy of the entrance pupil. The theory also shows that in reflective synthetic telescopes, fewer mirrors are required to achieve ideal behavior if the mirrors are off- axis sections of an axially-symmetric parent system, rather than on-axis mirrors. The phase theory that we present is cohesive, provides useful design guidelines, and can be considered an addition to wave aberration theory.

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