Vectorial nonparaxial propagation equation of elliptical Gaussian beams in the presence of a rectangular aperture

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

Volumn 21, Issue 9, 2004, Pages 1613-1620

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

^a LUOYANG NORMAL COLLEGE   (China)

^b SICHUAN UNIVERSITY   (China)

^c HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; INTEGRAL EQUATIONS; LASER OPTICS; LIGHT PROPAGATION; MATHEMATICAL MODELS; VECTORS;

GAUSSIAN BEAMS; NONPARAXIAL EVOLUTION; RAYLEIGH-SOMMERFELD DIFFRACTION INTEGRALS; RECTANGULAR APERTURE; VECTORIAL NONPARAXIAL PROPAGATION EQUATION;

DIFFRACTION;

EID: 4544385177     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.21.001613     Document Type: Article

References (17)

1. A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986).
2. M. Lax, W. H. Louisell, and W. B. McKnight, "From Maxwell to paraxial wave optics," Phys. Rev. A 11, 1365-1370 (1975).
3. T. Takenaka, M. Yokota, and O. Fukumitsu, "Propagation of light beams beyond the paraxial approximation," J. Opt. Soc. Am. A 2, 826-829 (1985).
4. H. Laabs, "Propagation of Hermite-Gaussian beams beyond the paraxial approximation," Opt. Commun. 147, 1-4 (1998).
5. 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).
6. H. Laabs and A. T. Friberg, "Nonparaxial eigenmodes of stable resonators," IEEE J. Quantum Electron. 35, 198-207 (1999).
7. W. H. Carter, "Electromagnetic field of a Gaussian beam with an elliptical cross section," J. Opt. Soc. Am. 62, 1195-1201 (1972).
8. G. P. Agrawal and D. N. Pattanayak, "Gaussian beam propagation beyond the paraxial approximation," J. Opt. Soc. Am. 69, 575-578 (1979).
9. S. R. S. Seshadri, "Virtual source for a Hermite-Gauss beam," Opt. Lett. 28, 595-597 (2003).
10. M. Born and E. Wolf, Principles of Optics (Cambridge U. Press, Cambridge, UK, 1999).
11. R. K. Luneberg, Mathematical Theory of Optics (University of California, Berkeley, Calif., 1964).
12. S. Nemoto, "Nonparaxial Gaussian beams," Appl. Opt. 29, 1940-1946 (1990).
13. A. Ciattoni, B. Crosignani, and P. D. Porto, "Vectorial theory of propagation in unaxially anisotropic media," J. Opt. Soc. Am. A 18, 1656-1661 (2001).
14. X. Zeng, C. Liang, and Y. An, "Far-field propagation of an off-axis Gaussian wave," Appl. Opt. 38, 6253-6256 (1999).
15. K. Duan and B. B. Lu, "Nonparaxial analysis of far-field properties of Gaussian beams diffracted by an aperture," Opt. Express 11, 1474-1480 (2003); www.opticsexpress.org.
16. B. Lu and K. Duan, "Nonparaxial propagation of vectorial Gaussian beams diffracted at a circular aperture," Opt. Lett. 28, 2440-2442 (2004).
17. E. W. Marchand and E. Wolf, "Consistent formulation of Kirchhoff's diffraction theory," J. Opt. Soc. Am. 56, 1712-1722 (1966).