Linear Canonical Transforms, Degrees of Freedom, and Sampling in Optical Signals and Systems

Date

2014-04-23

Author

ÖZAKTAŞ, MEMDUH HALDUN
Öktem, Sevinç Figen

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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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.

Subject Keywords

Optical signal processing, Degrees of freedom, Nyquist sampling rate, Time-frequency analysis, Linear canonical transformations, Fractional fourier transform

URI

https://hdl.handle.net/11511/48625

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Department of Electrical and Electronics Engineering, Conference / Seminar