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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 15, Iss. 1 — Jan. 1, 1998
  • pp: 144–151

Generation of pseudo-nondiffracting beams with use of diffractive phase elements designed by the conjugate-gradient method

Rong Liu, Bi-Zhen Dong, Guo-Zhen Yang, and Ben-Yuan Gu  »View Author Affiliations


JOSA A, Vol. 15, Issue 1, pp. 144-151 (1998)
http://dx.doi.org/10.1364/JOSAA.15.000144


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Abstract

The design of diffractive phase elements (DPE’s) for generating pseudo-nondiffracting beams (PNDB’s) is carried out by employing the conjugate-gradient method. By selecting a trapezoid profile as the preset axial intensity distribution to guide the design and by using an error function with a weighting factor to evaluate the performance of the DPE, we develop a model design and obtain a satisfactory diffractive pattern of a single-segment PNDB. We demonstrate the effectiveness of the conjugate-gradient method in the design of DPE’s that produce multiple-segment PNDB’s in which two consecutive segments are separated by a dark region along the optical axis. We also evaluate the degree of nonuniformity of the axial intensity over a given axial region. The design results match the requirements quite well.

© 1998 Optical Society of America

OCIS Codes
(050.1970) Diffraction and gratings : Diffractive optics
(350.5030) Other areas of optics : Phase

Citation
Rong Liu, Bi-Zhen Dong, Guo-Zhen Yang, and Ben-Yuan Gu, "Generation of pseudo-nondiffracting beams with use of diffractive phase elements designed by the conjugate-gradient method," J. Opt. Soc. Am. A 15, 144-151 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-1-144


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