© 2012 OSA

1. J. J. Stamnes, Waves in Focal Regions (Hilger, 1986).
2. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1996).
3. M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge University Press, 1999).
4. B. Richards and E. Wolf, “Electromagnetic diffraction in optical systems. II. Structure of the image field in an aplanatic system,” Proc. R. Soc. Lond. A Math. Phys. Sci.253(1274), 358–379 (1959). [CrossRef]
5. M. Leutenegger, R. Rao, R. A. Leitgeb, and T. Lasser, “Fast focus field calculations,” Opt. Express14(23), 11277–11291 (2006). [CrossRef] [PubMed]
6. A. V. Oppenheim, R. W. Schafer, and J. R. Buck, Discrete-time signal processing, 2nd ed. (Prentice Hall, 1999).
7. C. W. McCutchen, “Generalized aperture and the three-dimensional diffraction image,” J. Opt. Soc. Am.54(2), 240–244 (1964). [CrossRef]
8. C. W. McCutchen, “Generalized aperture and the three-dimensional diffraction image: erratum,” J. Opt. Soc. Am. A19(8), 1721–1721 (2002). [CrossRef]
9. I. Iglesias and B. Vohnsen, “Polarization structuring for focal volume shaping in high-resolution microscopy,” Opt. Commun.271(1), 40–47 (2007). [CrossRef]
10. J. Lin, X.-C. Yuan, S. S. Kou, C. J. R. Sheppard, O. G. Rodríguez-Herrera, and J. C. Dainty, “Direct calculation of a three-dimensional diffracted field,” Opt. Lett.36(8), 1341–1343 (2011). [CrossRef] [PubMed]
11. P. Török, P. R. T. Munro, and E. E. Kriezis, “Rigorous near- to far-field transformation for vectorial diffraction calculations and its numerical implementation,” J. Opt. Soc. Am. A23(3), 713–722 (2006). [CrossRef] [PubMed]
12. D. Ganic, X. Gan, and M. Gu, “Focusing of doughnut laser beams by a high numerical-aperture objective in free space,” Opt. Express11(21), 2747–2752 (2003). [CrossRef] [PubMed]
13. J. Lin, X.-C. Yuan, S. H. Tao, and R. E. Burge, “Variable-radius focused optical vortex with suppressed sidelobes,” Opt. Lett.31(11), 1600–1602 (2006). [CrossRef] [PubMed]
14. Q. Zhan, “Cylindrical vector beams: from mathematical concepts to applications,” Adv. Opt. Photon.1(1), 1–57 (2009). [CrossRef]
15. C. J. R. Sheppard and M. Gu, “Axial imaging through an aberration layer of water in confocal microscopy,” Opt. Commun.88(2-3), 180–190 (1992). [CrossRef]
16. P. Török, P. Varga, Z. Laczik, and G. R. Booker, “Electromagnetic diffraction of light focused through a planar interface between materials of mismatched refractive indices: an integral representation,” J. Opt. Soc. Am. A12(2), 325–332 (1995). [CrossRef]
17. S. H. Wiersma, P. Török, T. D. Visser, and P. Varga, “Comparison of different theories for focusing through a plane interface,” J. Opt. Soc. Am. A14(7), 1482–1490 (1997). [CrossRef]
18. P. Török and P. Varga, “Electromagnetic diffraction of light focused through a stratified medium,” Appl. Opt.36(11), 2305–2312 (1997). [CrossRef] [PubMed]

Adv. Opt. Photon.

• Q. Zhan, “Cylindrical vector beams: from mathematical concepts to applications,” Adv. Opt. Photon.1(1), 1–57 (2009). [CrossRef]

Appl. Opt.

• P. Török and P. Varga, “Electromagnetic diffraction of light focused through a stratified medium,” Appl. Opt.36(11), 2305–2312 (1997). [CrossRef] [PubMed]

J. Opt. Soc. Am.

• C. W. McCutchen, “Generalized aperture and the three-dimensional diffraction image,” J. Opt. Soc. Am.54(2), 240–244 (1964). [CrossRef]

J. Opt. Soc. Am. A

• C. W. McCutchen, “Generalized aperture and the three-dimensional diffraction image: erratum,” J. Opt. Soc. Am. A19(8), 1721–1721 (2002). [CrossRef]
• P. Török, P. Varga, Z. Laczik, and G. R. Booker, “Electromagnetic diffraction of light focused through a planar interface between materials of mismatched refractive indices: an integral representation,” J. Opt. Soc. Am. A12(2), 325–332 (1995). [CrossRef]
• S. H. Wiersma, P. Török, T. D. Visser, and P. Varga, “Comparison of different theories for focusing through a plane interface,” J. Opt. Soc. Am. A14(7), 1482–1490 (1997). [CrossRef]
• P. Török, P. R. T. Munro, and E. E. Kriezis, “Rigorous near- to far-field transformation for vectorial diffraction calculations and its numerical implementation,” J. Opt. Soc. Am. A23(3), 713–722 (2006). [CrossRef] [PubMed]

Opt. Commun.

• C. J. R. Sheppard and M. Gu, “Axial imaging through an aberration layer of water in confocal microscopy,” Opt. Commun.88(2-3), 180–190 (1992). [CrossRef]
• I. Iglesias and B. Vohnsen, “Polarization structuring for focal volume shaping in high-resolution microscopy,” Opt. Commun.271(1), 40–47 (2007). [CrossRef]

Opt. Express

• M. Leutenegger, R. Rao, R. A. Leitgeb, and T. Lasser, “Fast focus field calculations,” Opt. Express14(23), 11277–11291 (2006). [CrossRef] [PubMed]
• D. Ganic, X. Gan, and M. Gu, “Focusing of doughnut laser beams by a high numerical-aperture objective in free space,” Opt. Express11(21), 2747–2752 (2003). [CrossRef] [PubMed]

Opt. Lett.

• J. Lin, X.-C. Yuan, S. H. Tao, and R. E. Burge, “Variable-radius focused optical vortex with suppressed sidelobes,” Opt. Lett.31(11), 1600–1602 (2006). [CrossRef] [PubMed]
• J. Lin, X.-C. Yuan, S. S. Kou, C. J. R. Sheppard, O. G. Rodríguez-Herrera, and J. C. Dainty, “Direct calculation of a three-dimensional diffracted field,” Opt. Lett.36(8), 1341–1343 (2011). [CrossRef] [PubMed]

Proc. R. Soc. Lond. A Math. Phys. Sci.

• B. Richards and E. Wolf, “Electromagnetic diffraction in optical systems. II. Structure of the image field in an aplanatic system,” Proc. R. Soc. Lond. A Math. Phys. Sci.253(1274), 358–379 (1959). [CrossRef]

Other

• A. V. Oppenheim, R. W. Schafer, and J. R. Buck, Discrete-time signal processing, 2nd ed. (Prentice Hall, 1999).
• J. J. Stamnes, Waves in Focal Regions (Hilger, 1986).
• J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1996).
• M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge University Press, 1999).

Click here to see a list of articles that cite this paper

Related Journal Articles

• Nonlinear coherent four-wave mixing in optical microscopy (JOSAB)
• Exact radiation trapping force calculation based on vectorial diffraction theory (OE)
• A q-parameter approach to analysis of propagation, focusing, and waveguiding of radially polarized Gaussian beams (JOSAA)
• Solving conical diffraction grating problems with integral equations (JOSAA)
• Diffraction-based modeling of high-numerical-aperture in-line lensless holograms (AO)

Related Conference Papers

• Wavefront coding extends the depth of field in high numerical aperture brightfield, phase and interference contrast microscopy
• Space-Variant Waveplates for Cylindrical Vector Beam Microscopy
• Phase Singularities in Strongly Focused, Radially Polarized Fields
• Evanescent Imaging with Induced Polarization
• Phase singularities of the longitudinal field components in the focal region of a high-aperture optical system