期刊
OPTICS COMMUNICATIONS
卷 495, 期 -, 页码 -出版社
ELSEVIER
DOI: 10.1016/j.optcom.2021.127072
关键词
Coherent-mode representation; Partial coherence; Self-imaging; Talbot effect; Lau effect
类别
The study presents a representation of self-imaging phenomena under partially coherent illumination, showing that the Talbot and Lau effects are particular cases included in this new formalism. The general expression for coherent self-imaging of optical fields and the expression for the Lau effect are obtained under different coherence conditions.
The coherent-mode representation is a fundamental tool that helps us understand the processes of producing and propagating optical fields. In this work, such representation for self-imaging phenomena under partially coherent illumination is presented within the frame of partial coherence theory in the space-frequency domain. Additionally, it is shown that the well-known Talbot and Lau effects are particular cases included in this new formalism. When complete coherence of the field is considered, the general expression for coherent self-imaging of optical fields is obtained (Talbot effect for both linear and circular gratings are presented); on the other hand, when an incoherent superposition of an infinite number of modes are considered, the expression to describe the Lau effect is obtained.
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