Abstract

A type of computer-generated hologram (CGH) is introduced which works in the Fresnel diffraction mode and generates the desired wave front on-axis. Such holograms rely on the use of the detour-phase method suitably modified for Fresnel diffraction and on the sampling theorem; therefore, they are of the cell-oriented type. The concept of a carrier or reference wave is not needed to introduce them; the Huygens-Fresnel principle provides a complete description of their diffracted waves. Consequently, no orders in the usual sense of grating orders or zone plates or natural holograms can be defined. Only orders in the sense of the sampling theorem exist for these computer-generated holograms, and the useful order is the central one; it is also the brightest and does not overlap with other orders. These questions are discussed and illustrated by experimental examples in connection with the problem of diffraction efficiency. Among the examples, the CGH of a single point on-axis is considered; it is in general not a zone plate.

© 1984 Optical Society of America

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