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Proceedings Paper

Novel polygonal-aperture encoding for designing diffractive optical elements
Author(s): Jean-Numa Gillet; Yunlong Sheng
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Paper Abstract

A novel multiplexed computer-generated hologram (CGH) is designed with polygonal apertures. The multiplexed CGH is encoded with elementary rectangular cells divided into arbitrary-shaped polygonal apertures. The division is identical in all cells. The phase values of the apertures are assigned during the design. The polygonal apertures of same locations inside the cells constitute a subhologram. The cells are further divided in pixel arrays to exploit the huge number of degrees of freedom provided by electron-beam lithography. With the Abbe transform that has never been used, to our knowledge, in other CGH designs, the subhologram subimages are obtained by fast Fourier transforms. Hence, it is possible to design a multiplexed CGH that has a size thousands times larger than the manageable size of a conventional CGH designed with the iterative Fourier-transform algorithm. A much larger object window than that of the conventional CGH can also be achieved with the multiplexed polygonal-aperture CGH, because of its much larger number of pixels. A new iterative gradient descent algorithm results in a high performance of the multiplexed polygonal-aperture CGH. The noise appearing in other multiplexed-CGH designs is avoided.

Paper Details

Date Published: 26 December 2001
PDF: 11 pages
Proc. SPIE 4435, Wave Optics and VLSI Photonic Devices for Information Processing, (26 December 2001); doi: 10.1117/12.451133
Show Author Affiliations
Jean-Numa Gillet, Univ. Laval (Canada)
Yunlong Sheng, Univ. Laval (Canada)


Published in SPIE Proceedings Vol. 4435:
Wave Optics and VLSI Photonic Devices for Information Processing
Pierre Ambs; Fred Richard Beyette; Fred Richard Beyette, Editor(s)

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