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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

  • Editor: Stephen A. Burns
  • Vol. 24, Iss. 6 — Jun. 1, 2007
  • pp: 1747–1751

Design of microlenses with long focal depth based on the general focal length function

Jie Lin, Jianlong Liu, Jiasheng Ye, and Shutian Liu  »View Author Affiliations


JOSA A, Vol. 24, Issue 6, pp. 1747-1751 (2007)
http://dx.doi.org/10.1364/JOSAA.24.001747


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Abstract

A general focal length function is proposed to design microlenses with long extended focal depth and high lateral resolution. The focal performance of the designed microlenses, including the actual focal depth, the focal spot size, and the diffraction efficiency, is calculated by rigorous electromagnetic theory and the boundary-element method for several f-numbers. In contrast to conventional microlenses, the numerical results indicate that the designed microlenses can exhibit long extended focal depth and good focal performance. It is expected that the long focal length function will be widely used to design microlenses with long focal depth characteristics.

© 2007 Optical Society of America

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(050.1970) Diffraction and gratings : Diffractive optics
(220.3620) Optical design and fabrication : Lens system design

ToC Category:
Optical Design and Fabrication

History
Original Manuscript: November 22, 2006
Manuscript Accepted: January 5, 2007
Published: May 9, 2007

Citation
Jie Lin, Jianlong Liu, Jiasheng Ye, and Shutian Liu, "Design of microlenses with long focal depth based on the general focal length function," J. Opt. Soc. Am. A 24, 1747-1751 (2007)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-24-6-1747


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References

  1. B.-Z. Dong, J. Liu, G.-Z. Yang, B.-Y. Gu, and O. K. Ersoy, "Interative optimization approach for designing an axicon with long focal depth and high transverse resolution," J. Opt. Soc. Am. A 13, 97-103 (1996). [CrossRef]
  2. P. Varga, "Use of confocal microscopes in conoscopy and ellipsometry. 1. Electromagnetic theory," Appl. Opt. 39, 6360-6365 (2000). [CrossRef]
  3. R. Kant, "Superresolution and increased depth of focus: an inverse problem of vector diffraction," J. Mod. Opt. 47, 905-916 (2000). [CrossRef]
  4. N. Davidson, A. A. Friesem, and E. Hasman, "Holographic axilens: high resolution and long focal depth," Opt. Lett. 16, 523-525 (1991). [CrossRef] [PubMed]
  5. J. Sochacki, S. Bará, Z. Jaroszewicz, and A. Kolodziejczyk, "Phase retardation of the uniform-intensity axilens," Opt. Lett. 17, 7-9 (1992). [CrossRef] [PubMed]
  6. J. Sochacki, A. Kolodziejczyk, Z. Jaroszewicz, and S. Bará, "Nonparaxial design of generalized axicons," Appl. Opt. 31, 5326-5330 (1993). [CrossRef]
  7. Z. Jaroszewicz, J. Sochacki, A. Kolodziejczyk, and L. R. Staronski, "Apodized annular-aperture logarithmic axicon: smoothness and uniformity of intensity distributions," Opt. Lett. 18, 1893-1895 (1993). [CrossRef] [PubMed]
  8. J. Sochacki, Z. Jaroszewicz, L. R. Staronski, and A. Kolodziejczyk, "Annular-aperture logarithmic axicon," J. Opt. Soc. Am. A 10, 1765-1768 (1993). [CrossRef]
  9. B.-Z. Dong, J. Liu, B.-Y. Gu, G.-Z. Yang, and J. Wang, "Rigorous electromagnetic analysis of a microcylindrical axilens with long focal depth and high transverse resolution," J. Opt. Soc. Am. A 18, 1465-1470 (2001). [CrossRef]
  10. J.-S. Ye, B.-Z. Dong, B.-Y. Gu, G.-Z. Yang, and S.-T. Liu, "Analysis of a closed-boundary axilens with long focal depth and high transverse resolution based on rigorous electromagnetic theory," J. Opt. Soc. Am. A 19, 2030-2035 (2002). [CrossRef]
  11. F. Di, Y. Yingbai, J. Guofan, and W. Minxian, "Rigorous concept for the analysis of diffractive lenses with different axial resolution and high lateral resolution," Opt. Express 11, 1987-1994 (2003). [CrossRef] [PubMed]
  12. J.-S. Ye, B.-Z. Dong, B.-Y. Gu, and S.-T. Liu, "Analysis of a cylindrical microlens array with long focal depth by a rigorous boundary-element method and scalar approximations," Appl. Opt. 43, 5183-5192 (2004). [PubMed]
  13. S.-Q. Wang, J. Liu, B.-Y. Gu, Y.-Q. Wang, B. Hu, X.-D. Sun, and S. Di, "Rigorous electromagnetic analysis of the common focusing characteristics of cylindrical microlens with long focal depth under multi-wavelength illumination," J. Opt. Soc. Am. A 24, 512-516 (2007). [CrossRef]
  14. K. Yashiro and S. Ohkawa, "Boundary element method for electromagnetic scattering from cylinders," IEEE Trans. Antennas Propag. AP-33, 383-389 (1985). [CrossRef]
  15. K. Hirayama, E. N. Glytsis, T. K. Gaylord, and D. W. Wilson, "Rigorous electromagnetic analysis of diffractive cylindrical lenses," J. Opt. Soc. Am. A 13, 2219-2231 (1996). [CrossRef]
  16. J. M. Bendickson, E. N. Glytsis, and T. K. Gaylord, "Scalar integral diffraction methods: unification, accuracy, and comparison with a rigorous boundary element method with application to diffractive cylindrical lenses," J. Opt. Soc. Am. A 15, 1822-1837 (1998). [CrossRef]

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