Extensions To Dammann's Method Of Binary-Phase Grating Design

Joseph N. Mait

doi:10.1117/12.951485

6 May 1989 Extensions To Dammann's Method Of Binary-Phase Grating Design

Joseph N. Mait

Proceedings Volume 1052, Holographic Optics: Optically and Computer Generated; (1989) https://doi.org/10.1117/12.951485
Event: OE/LASE '89, 1989, Los Angeles, CA, United States

Abstract

A zero-based representation of binary-phase gratings developed by Dammann [1,2] has been reported as one means for generating an array of point sources. Dammann gratings have since be used as beam splitters and combiners for coherent communications [3,4] and for designing array generators [5,6] and interconnects [7-9] for optical computing. Dammann's original design assumed a one-dimensional, symmetric array of sources generated by a binary-phase grating. However, designs for producing asymmetric arrays [10], two-dimensional arrays [10,11], and multi-phase gratings [6,10] have recently been proposed. In this work these extensions are used to develop a procedure for designing quarternary, or 4-level, phase gratings capable of realizing an arbitrary array of coherent sources. The distinction between coherent and incoherent array generation is noted and used to show that Dammann's method of binary-phase grating design is less effective than other methods when maximum diffraction efficiency is desired. Although only one-dimensional gratings are discussed, extensions to two-dimensional quarternary-phase gratings are straightforward. The design and construction of two-dimensional gratings is discussed in Refs. 8, 10, and 11.

Citation Download Citation

Joseph N. Mait "Extensions To Dammann's Method Of Binary-Phase Grating Design", Proc. SPIE 1052, Holographic Optics: Optically and Computer Generated, (6 May 1989); https://doi.org/10.1117/12.951485

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