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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 14, Iss. 3 — Feb. 6, 2006
  • pp: 1033–1043

Vector diffraction analysis of high numerical aperture focused beams modified by two- and three-zone annular multi-phase plates

Toufic G. Jabbour and Stephen M. Kuebler  »View Author Affiliations


Optics Express, Vol. 14, Issue 3, pp. 1033-1043 (2006)
http://dx.doi.org/10.1364/OE.14.001033


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Abstract

Vector diffraction theory was applied to study the effect of two-and three-zone annular multi-phase plates (AMPs) on the three-dimensional point-spread-function (PSF) that results when linearly polarized light is focused using a high numerical aperture refractory lens. Conditions are identified for which a three-zone AMP generates a PSF that is axially super-resolved by 19% with minimal change in the transverse profile and sufficiently small side lobes that the intensity pattern could be used for advanced photolithographic techniques, such as multi-photon 3D microfabrication, as well as multi-photon imaging. Conditions are also found in which a three-zone AMP generates a PSF that is axially elongated by 510% with only 1% change along the transverse direction. This intensity distribution could be used for sub-micron-scale laser drilling and machining.

© 2006 Optical Society of America

OCIS Codes
(050.1220) Diffraction and gratings : Apertures
(100.6640) Image processing : Superresolution
(170.5810) Medical optics and biotechnology : Scanning microscopy

ToC Category:
Imaging Systems

History
Original Manuscript: December 19, 2005
Revised Manuscript: January 21, 2006
Manuscript Accepted: January 23, 2006
Published: February 6, 2006

Virtual Issues
Vol. 1, Iss. 3 Virtual Journal for Biomedical Optics

Citation
Toufic Jabbour and Stephen Kuebler, "Vector diffraction analysis of high numerical aperture focused beams modified by two- and three-zone annular multi-phase plates," Opt. Express 14, 1033-1043 (2006)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-3-1033


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References

  1. S. F. Pereira and A. S. van de Nes, "Superresolution by means of polarization, phase and amplitude pupil masks," Opt. Commun. 234, 119-124 (2004). [CrossRef]
  2. A. Diaspro, Confocal and Two-Photon Microscopy: Foundations, Applications, and Advances (Wiley, New York, 2002).
  3. T. R. M. Sales and G. M. Morris, "Diffractive superresolution elements," J. Opt. Soc. Am. A 14, 1637-1646 (1997). [CrossRef]
  4. T. R. M. Sales and G. M. Morris, "Axial superresolution with phase-only pupil filters," Opt. Commun. 156, 227-230 (1998). [CrossRef]
  5. X.-F. Zhao, C.-F. Li and H. Ruan, "Improvement of three-dimensional resolution in optical data storage by combination of two annular binary phase filters," Chin. Phys. Lett. 21, 1515-1517 (2004). [CrossRef]
  6. S. Zhou and C. Zhou, "Discrete continuous-phase superresolving filters," Opt. Lett. 29, 2746-2748 (2004). [CrossRef] [PubMed]
  7. H. Wang and F. Gan, "High focal depth with pure-phase apodizer," Appl. Opt. 40, 5658-5662 (2001). [CrossRef]
  8. H. Y. Chen, N. Mayhew, E. G. S. Paige and G. G. Yang, "Design of the point spread function of a lens, binary phase filter combination and its application to photolithography," Opt. Commun. 119, 381-389 (1995). [CrossRef]
  9. G. Yang, "An optical pickup using a diffractive optical element for a high-density optical disc," Opt. Commun. 159, 19-22 (1999). [CrossRef]
  10. C. Ibáñez-López, G. Saavedra, G. Boyer and M. Martínez-Corral, "Quasi-isotropic 3-D resolution in two-photon scanning microscopy," Opt. Express 13, 6168-6174 (2005). [CrossRef] [PubMed]
  11. C. Ibáñez-López, G. Saavedra, K. Plamann, G. Boyer and M. Martínez-Corral, "Quasi-spherical focal spot in two-photon scanning microscopy by three-ring apodization," Microsc. Res. Tech. 67, 22-26 (2005). [CrossRef] [PubMed]
  12. B. Kress and P. Meyrueis, Digital Diffractive Optics (Wiley, New York, 2000).
  13. H. Ando, "Phase-shifting apodizer of three or more portions," Jap. J. Appl. Phys. 31, 557-567 (1992). [CrossRef]
  14. M. P. Cagigal, J. E. Oti, V. F. Canales and P. J. Valle, "Analytical design of superresolving phase filters," Opt. Commun. 241, 249-253 (2004). [CrossRef]
  15. V. F. Canales, J. E. Oti and M. P. Cagigal, "Three-dimensional control of the focal light intensity distribution by analytically designed phase masks," Opt. Commun. 247, 11-18 (2005). [CrossRef]
  16. D. M. de Juana, J. E. Oti, V. F. Canales and M. P. Cagigal, "Design of superresolving continous phase filters," Opt. Lett. 28, 607-609 (2003). [CrossRef] [PubMed]
  17. M. Martínez-Corral, P. Andrés, J. Ojeda-Castañeda and G. Saavedra, "Tunable axial superresolution by annular binary filters. Application to confocal microscopy," Opt. Commun. 119, 491-498 (1995). [CrossRef]
  18. M. Martínez-Corral, P. Andrés, C. J. Zapata-Rodríguez and M. Kowalczyk, "Three-dimensional superresolution by annular binary filters," Opt. Commun. 165, 267-278 (1999). [CrossRef]
  19. M. Martínez-Corral, M. T. Caballero, E. H. K. Stelzer and J. Swoger, "Tailoring the axial shape of the point spread function using the Toraldo concept," Opt. Express 10, 98-103 (2002). [PubMed]
  20. S. Ching-Cherng and L. Chin-Ku, "Ultrasmall focusing spot with a long depth of focus based on polarization and phase modulation," Opt. Lett. 28, 99-101 (2003). [CrossRef]
  21. M. Martínez-Corral, C. Ibáñez-López, G. Saavedra and M. T. Caballero, "Axial gain resolution in optical sectioning fluorescence microscopy by shaded-ring filters," Opt. Express 11, 1740-1745 (2003). [CrossRef] [PubMed]
  22. M. Martínez-Corral, R. Martinez-Cuenca, I. Escobar and G. Saavedra, "Reduction of focus size in tightly focused linearly polarized beams," Appl. Phys. Lett. 85, 4319-4321 (2004). [CrossRef]
  23. C. J. R. Sheppard and A. Choudhury, "Annular pupils, radial polarization, and superresolution," Appl. Opt. 43, 4322-4327 (2004). [CrossRef] [PubMed]
  24. E. Wolf, "Electromagnetic diffraction in optical systems I. An integral representation of the image field," Proc. Royal Soc. A 253, 349-357 (1959). [CrossRef]
  25. B. Richards and E. Wolf, "Electromagnetic diffraction in optical systems II. Structure of the image field in an aplanatic system," Proc. Royal Soc. A 253, 358-379 (1959). [CrossRef]
  26. J. J. Stamnes, Waves in Focal Regions: Propagation, Diffraction and Focusing of Light, Sound and Water Waves, in The Adam Hilger Series on Optics and Optoelectronics, E. R. Pike and W. T. Welford, eds., (Adam Hilger, Bristol, 1986). [PubMed]
  27. H. Liu, Y. Yan, D. Yi and G. Jin, "Design of three-dimensional superresolution filters and limits of axial optical superresolution," Applied Optics 42, 1463-1476 (2003). [CrossRef] [PubMed]
  28. S. M. Kuebler and M. Rumi, "Nonlinear optics -- applications: three-dimensional microfabrication," in Encyclopedia of Modern Optics, R. D. Guenther, D. G. Steel and L. Bayvel, eds. (Elsevier, Oxford, 2004).
  29. S. M. Kuebler, M. Rumi, T. Watanabe, K. Braun, B. H. Cumpston, A. A. Heikal, L. L. Erskine, S. Thayumanavan, S. Barlow, S. R. Marder and J. W. Perry, "Optimizing two-photon initiators and exposure conditions for three-dimensional lithographic microfabrication," J. Photopolym. Sci. Technol. 14, 657-668 (2001). [CrossRef]
  30. H.-B. Sun, K. Takada, M.-S. Kim, K.-S. Lee and S. Kawata, "Scaling laws of voxels in two-photon photopolymerization nanofabrication," Appl. Phys. Lett. 83, 1104-1106 (2003). [CrossRef]
  31. C. J. R. Sheppard and Z. S. Hegedus, "Axial behavior of pupil-plane filters," J. Opt. Soc. Am. A 5, 643-647 (1988). [CrossRef]

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