Degrees of freedom of optical systems and signals with applications to sampling and system simulation

2013-06-23
We study the degrees of freedom of optical systems and signals based on space-frequency (phase space) analysis. At the heart of this study is the relationship of the linear canonical transform domains to the space-frequency plane. Based on this relationship, we discuss how to explicitly quantify the degrees of freedom of first-order optical systems with multiple apertures, and give conditions for lossless transfer. Moreover, we focus on the degrees of freedom of signals in relation to the space-frequency support and provide a sub-Nyquist sampling approach to represent signals with arbitrary space-frequency support. Implications for simulating optical systems are also discussed.

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Citation Formats
S. F. Öktem, “Degrees of freedom of optical systems and signals with applications to sampling and system simulation,” 2013, Accessed: 00, 2021. [Online]. Available: https://www.osapublishing.org/abstract.cfm?uri=ISA-2013-ITu1E.1.