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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. 22, Iss. 5 — May. 1, 2005
  • pp: 862–869

Applications of improved first Rayleigh–Sommerfeld method to analyze the performance of cylindrical microlenses with different f-numbers

Jia-Sheng Ye, Ben-Yuan Gu, Bi-Zhen Dong, and Shu-Tian Liu  »View Author Affiliations


JOSA A, Vol. 22, Issue 5, pp. 862-869 (2005)
http://dx.doi.org/10.1364/JOSAA.22.000862


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Abstract

Based on the previous Letter [ Opt. Lett. 29, 2345 (2004) ], we significantly extend the applications of the improved first Rayleigh–Sommerfeld method (IRSM1) to analyze the focusing performance of cylindrical microlenses for different types of profile (continuous or stepwise), different f-numbers (from f 1.5 to f 0.75 ), and different polarizations (the TE or TM). A number of performance measures of the cylindrical microlenses, such as the focal spot size, the diffraction efficiency, the real focal position, and the normalized sidelobe power, are studied in detail. We compare numerical results obtained by the IRSM1, by the original first Rayleigh–Sommerfeld method (ORSM1), and by the rigorous boundary element method (BEM). For continuously refractive lenses, the results calculated by the IRSM1 are quite close to those obtained by the BEM; in contrast, the results calculated by the ORSM1 significantly deviate from those obtained from the rigorous BEM. For multilevel diffractive lenses, the IRSM1 also provides much more accurate results than the ORSM1. In addition, compared with the BEM, a notable advantage of the IRSM1 is much lower computer memory and time consumption in computations.

© 2005 Optical Society of America

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(050.1970) Diffraction and gratings : Diffractive optics

History
Original Manuscript: November 1, 2004
Manuscript Accepted: December 2, 2004
Published: May 1, 2005

Citation
Jia-Sheng Ye, Ben-Yuan Gu, Shu-Tian Liu, and Bi-Zhen Dong, "Applications of improved first Rayleigh–Sommerfeld method to analyze the performance of cylindrical microlenses with different f-numbers," J. Opt. Soc. Am. A 22, 862-869 (2005)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-22-5-862


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