Measurement of the three-dimensional intensity distribution in the neighborhood of a paraxial focus

Applied Optics

Volumn 36, Issue 31, 1997, Pages 8091-8095

  Karman, G P ^a   Van Duijl, A ^a   Beijersbergen, M W ^a   Woerdman, J P ^a  

^a LEIDEN UNIVERSITY   (Netherlands)

Author keywords

Diffraction theory; Intensity distribution; Paraxial focus; Three dimensional

Indexed keywords

EID: 0000166085     PISSN: 1559128X     EISSN: 21553165     Source Type: Journal    
DOI: 10.1364/AO.36.008091     Document Type: Article

References (19)

1. J. J. Stamnes, Waves in Focal Regions(Institute of Physics, Bristol, UK, 1986), Sect. 12.5.
2. Y. Li and H. Platzer, “An experimental investigation of diffraction patterns in low-Fresnel-number focusing systems, ” Opt. Acta 30, 1621-1643 (1983).
3. C. A. Taylor and B. J. Thomson, “Attempt to investigate experimentally the intensity distribution near the focus in the error-free diffraction patterns of circular and annular apertures, ” J. Opt. Soc. Am. 48, 844-850 (1958); reprinted in SPIE Milestone SeriesSelected Papers on Scalar Wave Diffraction, K. E. Oughstun, ed., MS 51, 514-520 (1991).
4. G. W. Farnell, “Measured phase distribution in the image space of a microwave lens, ” Can J. Phys. 36, 935-943 (1958).
5. J. J. Stamnes and B. Spelkavik, “Focusing at small angular apertures in the Debye and Kirchhoff approximations, ” Opt. Commun. 40, 81-85 (1981).
6. R. B. Johnson, Lenses in Handbook of Optics, M. Bass, ed. (McGraw-Hill, New York, 1995), Vol. 2, Chap. 1.
7. Y. Li and E. Wolf, “Three-dimensional intensity distribution near the focus in systems of different Fresnel numbers, ” J. Opt. Soc. Am. A 1, 801-808 (1984).
8. W. Wang and E. Wolf, “Far-zone behavior of focused fields in systems with different Fresnel numbers, ” Opt. Commun. 119, 453-459 (1995).
9. Y. Li and E. Wolf, “Focal shift in focused truncated Gaussian beams, ” Opt. Commun. 42, 151-156 (1982).
10. J. J. Stamnes, University of Bergen, N-5007 Bergen, Norway (personal communication, 1997).
11. G. Lenz, “Far-field diffraction of truncated higher-order Laguerre-Gaussian beams, ” Opt. Commun. 123, 423-429 (1996).
12. W. H. Carter and M. F. Aburdene, “Focal shift in Laguerre-Gaussian beams, ” J. Opt. Soc. Am. A 4, 1949-1952 (1987).
13. A. Yoshida and T. Asakura, “Propagation and focusing of Gaussian laser beams beyond conventional diffraction limit, ” Opt. Commun. 123, 694-704 (1996).
14. J. J. Stamnes, “Focusing at low Fresnel numbers in the presence of cylindrical or spherical aberration, ” Pure Appl. Opt. 6, 85-96 (1997).
15. G. P. Karman, M. W. Beijersbergen, A. van Duijl, and J. P. Woerdman, “Creation and annihilation of phase singularities in a focal field, ” Opt. Lett. 22, 1503-1505 (1997).
16. P. Varga and P. Török, “Exact and approximate solutions of Maxwell’s equations for a confocal cavity, ” Opt. Lett. 21, 1523-1525 (1996).
17. W. Wang, A. Friberg, and E. Wolf, “Focusing of partially coherent light in systems of large Fresnel numbers, ” J. Opt. Soc. Am. A 14, 491-496 (1997).
18. M. Born and E. Wolf, Principles of Optics(Pergamon, Oxford, UK, 1986), Chap. 8.
19. E. W. Marchand and E. Wolf, “Consistent formulation of Kirchhoff’s diffraction theory, ” J. Opt. Soc. Am. 56, 1712-1722 (1966).