Phase-space window and degrees of freedom of optical systems with multiple apertures

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2013-04-01

Author

Ozaktas, Haldun M.
Öktem, Sevinç Figen

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We show how to explicitly determine the space-frequency window (phase-space window) for optical systems consisting of an arbitrary sequence of lenses and apertures separated by arbitrary lengths of free space. If the space-frequency support of a signal lies completely within this window, the signal passes without information loss. When it does not, the parts that lie within the window pass and the parts that lie outside of the window are blocked, a result that is valid to a good degree of approximation for many systems of practical interest. Also, the maximum number of degrees of freedom that can pass through the system is given by the area of its space-frequency window. These intuitive results provide insight and guidance into the behavior and design of systems involving multiple apertures and can help minimize information loss. (C) 2013 Optical Society of America

Subject Keywords

Atomic and Molecular Physics, and Optics, Electronic, Optical and Magnetic Materials, Computer Vision and Pattern Recognition

URI

https://hdl.handle.net/11511/38887

Journal

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION

DOI

https://doi.org/10.1364/josaa.30.000682

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Department of Electrical and Electronics Engineering, Article

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Citation Formats

H. M. Ozaktas and S. F. Öktem, “Phase-space window and degrees of freedom of optical systems with multiple apertures,” JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, pp. 682–690, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/38887.