Conditions for exactly self-imaging nonparaxial fields that are periodic also in the transverse direction are introduced. The theory is first derived by assuming full coherence and then extended into the domain of partial coherence. Different types of solutions are discussed, and some illustrations of the existence of solutions and intensity distributions of the fields are presented.
© 2004 Optical Society of America
(030.1640) Coherence and statistical optics : Coherence
(050.1940) Diffraction and gratings : Diffraction
(070.6760) Fourier optics and signal processing : Talbot and self-imaging effects
(350.5500) Other areas of optics : Propagation
Toni Saastamoinen, Jani Tervo, Pasi Vahimaa, and Jari Turunen, "Exact self-imaging of transversely periodic fields," J. Opt. Soc. Am. A 21, 1424-1429 (2004)