Abstract

Self-imaging means image formation without the help of a lens or any other device between object and image. There are three versions of self-imaging: the classical Talbot effect (1836), the fractional Talbot effect, and the Montgomery effect (1967). Talbot required the object to be periodic; Montgomery realized that quasiperiodic suffices. Classical means that the distance from object to image is an integer multiple of the Talbot distance zT=2p2λ, where p is the grating period. Fractional implies a distance that is a simple fraction of zT: say, zT2,zT4,3zT2 . We explore the most general case of the fractional Montgomery effect.

© 2005 Optical Society of America

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