Controlling the contribution of the electric field components to the focus of a high-aperture lens using binary phase structures

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 27, Issue 10, 2010, Pages 2188-2197

  Khonina, Svetlana N ^a   Volotovsky, Sergey G ^a  

^a RUSSIAN ACADEMY OF SCIENCES   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC FIELDS; LENSES; LONGITUDINAL CONTROL; OPTICAL INSTRUMENTS; PHASE STRUCTURE;

ANNULAR APERTURES; AZIMUTHAL ANGLE; BINARY PHASE; BINARY STRUCTURES; ELECTRIC FIELD COMPONENTS; ENERGY EFFICIENT; FOCAL PLANE; FOCAL REGIONS; FOCAL SPOT; FOCUSING SYSTEM; HIGH NA; HIGH NUMERICAL APERTURES; HIGH-APERTURE; LONGITUDINAL DISTRIBUTION; NUMERICAL SIMULATION; OPTICAL AXIS; POLAR ANGLES; POLARIZATION CONVERSION; POLARIZED INCIDENT WAVES; SUB-WAVELENGTH; TORALDO FILTERS; TRANSVERSE COMPONENTS;

FOCUSING;

EID: 77957888222     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.27.002188     Document Type: Article

References (45)

1. G. P. Karman, M. W. Beijersbergen, A. van Duijl, D. Bouwmeester, and J. P. Woerdman, "Airy pattern reorganization and subwavelength structure in a focus," J. Opt. Soc. Am. A 15, 884-899 (1998).
2. S. Quabis, R. Dorn, M. Eberler, O. Glockl, and G. Leuchs, "Focusing light to a tighter spot," Opt. Commun. 179, 1-7 (2000).
3. R. Kant, "Superresolution and increased depth of focus: An inverse problem of vector diffraction," J. Mod. Opt. 47, 905-916 (2000).
4. R. Dorn, S. Quabis, and G. Leuchs, "Sharper focus for a radially polarized light beam," Phys. Rev. Lett. 91, 233901 (2003).
5. N. Davidson and N. Bokor, "High-numerical-aperture focusing of radially polarized doughnut beams with a parabolic mirror and a flat diffractive lens," Opt. Lett. 29, 1318-1320 (2004).
6. C. J. R. Sheppard and A. Choudhury, "Annular pupils, radial polarization, and superresolution," Appl. Opt. 43, 4322-4327 (2004).
7. S. F. Pereira and A. S. van de Nes, "Superresolution by means of polarisation, phase and amplitude pupil masks," Opt. Commun. 234, 119-124 (2004).
8. W. Chen and Q. Zhan, "Three-dimensional focus shaping with cylindrical vector beams," Opt. Commun. 265, 411-417 (2006).
9. Y. Kozawa and S. Sato, "Sharper focal spot formed by higher-order radially polarized laser beams," J. Opt. Soc. Am. A 24, 1793-1798 (2007).
10. G. M. Lerman and U. Levy, "Effect of radial polarization and apodization on spot size under tight focusing conditions," Opt. Express 16, 4567-4581 (2008).
11. V. P. Kalosha and I. Golub, "Toward the subdiffraction focusing limit of optical superresolution," Opt. Lett. 32, 3540-3542 (2007).
12. C.-C. Sun and C.-K. Liu, "Ultrasmall focusing spot with a long depth of focus based on polarization and phase modulation," Opt. Lett. 28, 99-101 (2003).
13. H. Wang, L. Shi, B. Lukyanchuk, C. Sheppard, and C. T. Chong, "Creation of a needle of longitudinally polarized light in vacuum using binary optics," Nat. Photonics 2, 501-505 (2008).
14. B. R. Boruah and M. A. A. Neil, "Laser scanning confocal microscope with programmable amplitude, phase, and polarization of the illumination beam," Rev. Sci. Instrum. 80, 013705 (2009).
15. K. Huang, P. Shi, X.-L. Kang, X. Zhang, and Y.-P. Li, "Design of DOE for generating a needle of a strong longitudinally polarized field," Opt. Lett. 35, 965-967 (2010).
16. S. N. Khonina and S. G. Volotovsky, "Investigation of axicon application in high-aperture focusing system," Computer Optics 34, 35-51 (2010) (in Russian).
17. S. C. Tidwell, D. H. Ford, and W. D. Kimura, "Generating radially polarized beams interferometrically," Appl. Opt. 29, 2234-2239 (1990).
18. M. Stalder and M. Schadt, "Linearly polarized light with axial symmetry generated by liquid-crystal polarization converters," Opt. Lett. 21, 1948-1950 (1996).
19. Z. Bomzon, G. Biener, V. Kleiner, and E. Hasman, "Radially and azimuthally polarized beams generated by spacevariant dielectric subwavelength gratings," Opt. Lett. 27, 285-287 (2002).
20. G. Volpe and D. Petrov, "Generation of cylindrical vector beams with few-mode fibers excited by Laguerre-Gaussian beams," Opt. Commun. 237, 89-95 (2004).
21. Y. Kozawa and S. Sato, "Generation of a radially polarized laser beam by use of a conical Brewster prism," Opt. Lett. 30, 3063-3065 (2005).
22. K. Yonezawa, Y. Kozawa, and S. Sato, "Compact laser with radial polarization using birefringent laser medium," Jpn. J. Appl. Phys., Part 1 46, 5160-5163 (2007).
23. Z. Zhou, Q. Tan, Q. Li, and G. Jin, "Achromatic generation of radially polarized beams in visible range using segmented subwavelength metal wire gratings," Opt. Lett. 34, 3361-3363 (2009).
24. S. N. Khonina and S. V. Karpeev, "Grating-based optical scheme for the universal generation of inhomogeneously polarized laser beams," Appl. Opt. 49, 1734-1738 (2010).
25. N. Huse, A. Schonle, and S. W. Hell, "Z-polarized confocal microscopy," J. Biomed. Opt. 6, 273-276 (2001).
26. L. E. Helseth, "Optical vortices in focal regions," Opt. Commun. 229, 85-91 (2004).
27. R. K. Singh, P. Senthilkumaran, and K. Singh, "Tight focusing of vortex beams in presence of primary astigmatism," J. Opt. Soc. Am. A 26, 576-588 (2009).
28. S. N. Khonina, V. V. Kotlyar, V. A. Soifer, M. Honkanen, J. Lautanen, and J. Turunen, "Generation of rotating Gauss- Laguerre modes with binary-phase diffractive optics," J. Mod. Opt. 46, 227-238 (1999).
29. S. N. Khonina, S. A. Balalayev, R. V. Skidanov, V. V. Kotlyar, B. Paivanranta, and J. Turunen, "Encoded binary diffractive element to form hyper-geometric laser beams," J. Opt. A, Pure Appl. Opt. 11, 065702 (2009).
30. X. S. Xie and R. C. Dunn, "Probing single molecule dynamics," Science 265, 361-364 (1994).
31. T. Grosjean and D. Courjon, "Photopolymers as vectorial sensors of the electric field," Opt. Express 14, 2203-2210 (2006).
32. M. R. Beversluis, L. Novotny, and S. J. Stranick, "Programmable vector point-spread function engineering," Opt. Express 14, 2650-2656 (2006).
33. P. Dedecker, B. Muls, J. Hofkens, J. Enderlein, and J.-I. Hotta, "Orientational effects in the excitation and deexcitation of single molecules interacting with donut-mode laser beams," Opt. Express 15, 3372-3383 (2007).
34. K. A. Serrels, E. Ramsay, R. J. Warburton, and D. T. Reid, "Nanoscale optical microscopy in the vectorial focusing regime," Nat. Photonics 2, 311-314 (2008).
35. Q. Zhan, "Cylindrical vector beams: From mathematical concepts to applications," Adv. Opt. Photon. 1, 1-57 (2009).
36. B. Richards and E. Wolf, "Electromagnetic diffraction in optical systems. II. Structure of the image field in an aplanatic system," Proc. R. Soc. London, Ser. A 253, 358-379 (1959).
37. T. R. M. Sales and G. M. Morris, "Diffractive superresolution elements," J. Opt. Soc. Am. A 14, 1637-1646 (1997).
38. J. Stadler, C. Stanciu, C. Stupperich, and A. J. Meixner, "Tighter focusing with a parabolic mirror," Opt. Lett. 33, 681-683 (2008).
39. X. Gao, J. Wang, H. Gu, and W. Xu, "Focusing properties of concentric piecewise cylindrical vector beam," Optik 118, 257-265 (2007).
40. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Courier Dover, 1972), p. 1046.
41. G. Toraldo di Francia, "Degrees of freedom of an image," J. Opt. Soc. Am. 59, 799-804 (1969).
42. M. V. Berry and S. Popescu, "Evolution of quantum superoscillations and optical superresolution without evanescent waves," J. Phys. A 39, 6965-6977 (2006).
43. P. J. S. G. Ferreira and A. Kempf, "Superoscillations: Faster than the Nyquist rate," IEEE Trans. Signal Process. 54, 3732-3740 (2006).
44. F. M. Huang and N. I. Zheludev, "Super-resolution without evanescent waves," Nano Lett. 9, 1249-1254 (2009).
45. G. S. Landsberg, Optics (Fizmatlit, 2003) (in Russian), p. 848.