Linear canonical transforms, degrees of freedom, and sampling in optical signals and systems Optik sinyaller ve sistemlerde doǧrusal kanonik dönü şümler, serbestlik derecesi, ve örnekleme

摘要

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. © 2014 IEEE.