Nonparaxial analysis of far-field properties of gaussian beams diffracted at a circular aperture

Optics Express

Volumn 11, Issue 13, 2003, Pages 1474-1480

  Duan, Kailiang ^a,b   Lü, Baida ^b,c  

^a LUOYANG NORMAL COLLEGE   (China)

^b SICHUAN UNIVERSITY   (China)

^c Stt Key Lab of Laser Technology   (China)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BESSEL FUNCTIONS; INTEGRATION; MATHEMATICAL TRANSFORMATIONS; PARAMETER ESTIMATION; SPECTRUM ANALYSIS;

APERTURES; GAUSSIAN BEAMS; PROPAGATION; TRUNCATION PARAMETERS;

ELECTROMAGNETIC WAVE DIFFRACTION;

EID: 2942700086     PISSN: 10944087     EISSN: None     Source Type: Journal    
DOI: 10.1364/OE.11.001474     Document Type: Article

References (12)

1. M. Lax, W. H. Louisell, and W. B. MCKnight, "From Maxwell to paraxial wave optic," Phys. Rev. A 11, 1365-1370 (1975).
2. T. Takenaka, M. Yokota, and O. Fukumitsu, "Propagation of light beams beyond the paraxial approximation," J. Opt. Soc. Am. A 2, 826-829 (1985).
3. H. Laabs, "Propagation of Hermite-Gaussian beams beyond the paraxial approximation," Opt. Commun. 147, 1-4 (1998).
4. A. Wünsche, "Transition from the paraxial approximation to exact solutions of the wave equation and application to Gaussian beams," J. Opt. Soc. Am. A 9, 765-774 (1992).
5. Q. Cao and X. Deng, "Corrections to the paraxial approximation of an arbitrary free-propagation beam," J. Opt. Soc. Am. A 15, 765-774 (1998).
6. W. H. Carter, "Electromagnetic field of a Gaussian beam with an elliptical cross section," J. Opt. Soc. Am. 62, 1195-1201 (1972).
7. G. P. Agrawal and D. N. Pattanayak, "Gaussain beam propagation beyond the paraxial approximation," J. Opt. Soc. Am. 69, 575-578 (1979).
8. C. G. Chen, P. T. Konkola, J. Ferrera, R. K. Heilmann, and M. L. Schattenburg, "Analyses of vector Gaussian beam propagation and the validity of paraxial and spherical approximations," J. Opt. Soc. Am. 19, 404-412 (2002).
9. S. R. S Seshadri, "Virtual source for the Bessel-Gaussian beam," Opt. Lett. 27, 988-1000 (2002).
10. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, Cambridge, UK, 1995).
11. X. Zeng, C. Liang, and Y. An, "Far-field radiation of planar Gaussian sources and comparison with solutions based on the parabolic approximation," Appl. Opt. 36, 2042-2047 (1997).
12. S. Nemoto, "Nonparaxial Gaussian beams," Appl. Opt. 29, 1940-1946 (1990).