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Applied Optics

Applied Optics


  • Vol. 34, Iss. 35 — Dec. 10, 1995
  • pp: 8110–8115

Design of diffractive phase elements that produce focal annuli: a new method

Guo-Qing Zhang, Ben-Yuan Gu, and Guo-Zhen Yang  »View Author Affiliations

Applied Optics, Vol. 34, Issue 35, pp. 8110-8115 (1995)

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A new optimization method based on the general theory of amplitude-phase retrieval is proposed for designing the diffractive phase elements (DPE's) that produce focal annular patterns. A set of equations for determining the phase distribution of the DPE is given. The profile of a surface-relief DPE can be designed with an iterative algorithm. Numerical calculations are carried out for several examples. A comparison of the performance of the DPE's designed with the Gerchberg–Saxton algorithm and the new algorithm is presented. The effect of quantization of the phase distribution of the DPE's on the results is also investigated. The results show that the new algorithm can successfully achieve the design of the DPE's that convert the uniform incident beam into the focal annular patterns.

© 1995 Optical Society of America

Original Manuscript: March 24, 1995
Revised Manuscript: June 5, 1995
Published: December 10, 1995

Guo-Qing Zhang, Ben-Yuan Gu, and Guo-Zhen Yang, "Design of diffractive phase elements that produce focal annuli: a new method," Appl. Opt. 34, 8110-8115 (1995)

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