Novel polygonal-aperture encoding for designing diffractive optical elements

Jean-Numa Gillet; Yunlong Sheng

doi:10.1117/12.451133

26 December 2001 Novel polygonal-aperture encoding for designing diffractive optical elements

Jean-Numa Gillet, Yunlong Sheng

Proceedings Volume 4435, Wave Optics and VLSI Photonic Devices for Information Processing; (2001) https://doi.org/10.1117/12.451133
Event: International Symposium on Optical Science and Technology, 2001, San Diego, CA, United States

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.

Citation Download Citation

Jean-Numa Gillet and Yunlong Sheng "Novel polygonal-aperture encoding for designing diffractive optical elements", Proc. SPIE 4435, Wave Optics and VLSI Photonic Devices for Information Processing, (26 December 2001); https://doi.org/10.1117/12.451133

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KEYWORDS

Computer generated holography

Multiplexing

Diffraction

Optical design

Reconstruction algorithms

Fourier transforms

Holograms

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