Expansions for irradiance distribution near the focus in systems of different Fresnel numbers

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

Volumn 23, Issue 3, 2006, Pages 730-740

  Li, Yajun ^a  

^a NONE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ASYMPTOTIC STABILITY; DIFFRACTION GRATINGS; FOCUSING; IRRADIATION; MATHEMATICAL MODELS;

ASYMPTOTIC MODEL; FRESNEL NUMBERS; IRRADIANCE DISTRIBUTION;

LASER BEAMS;

EID: 33645396707     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.23.000730     Document Type: Article

References (16)

1. F. Gori, "Flattened Gaussian beams," Opt. Commun. 107, 335-341 (1994).
2. Y. Li, "Light beams with flat-topped profiles," Opt. Lett. 27, 1007-1009 (2002).
3. Y. Li, "New expressions for flat-topped light beams," Opt. Commun. 206, 225-334 (2002).
4. Y. Li, "Flat-topped light beams with non-circular cross-sections," J. Mod. Opt. 50, 1957-1966 (2003).
5. M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, 1999), Sec. 8.2.2.
6. G. N. Watson, A Treatise of the Theory of Bessel Functions (Cambridge U. Press, 1962), pp. 537-550.
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. J. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic, 1980), Eq. (0.155) on p. 4.
9. Y. Li, "Degeneracy in the Fraunhofer diffraction of truncated Gaussian beams," J. Opt. Soc. Am. A 4, 1237-1244 (1987).
10. Y. Li and E. Wolf, "Focal shift in focused truncated Gaussian beams," Opt. Commun. 42, 151-156 (1982).
11. E. H. Linfoot and E. Wolf, "Phase distribution near focus in an aberration-free diffraction image," Proc. Phys. Soc. London, Sect. B 69, 823-832 (1956).
12. E. Wolf, "Light distribution near focus in an error-free diffraction image," Proc. R. Soc. London, Ser. A 204, 533-548 (1951).
13. Y. Li, "Encircled energy of diffracted converging spherical waves," J. Opt. Soc. Am. 73, 1101-1104 (1983).
14. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, 1996), Sec. 4.5.1.
15. F. W. J. Olver, Asymptotics and Special Functions (Academic, 1974), Chap. 1.
16. Y. Li and F. T. S. Yu, "Intensity distribution near the focus of an apertured focused Gaussian beam," Opt. Commun. 70, 1-7 (1989).