Three-dimensional electromagnetic diffraction of a Gaussian beam by a perfectly conducting half-plane

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

Volumn 19, Issue 11, 2002, Pages 2265-2280

  Petersson, L E R ^a   Smith, Glenn S ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRAINT THEORY; ELECTRIC FIELD EFFECTS; INTEGRATION;

GAUSSIAN BEAMS;

ELECTROMAGNETIC WAVE DIFFRACTION;

EID: 0043166149     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.19.002265     Document Type: Article

References (22)

1. A. Sommerfeld, "Mathematische theorie der diffraction," Math. Ann. 47, 317-374 (1896).
2. J. B. Keller, "Geometrical theory of diffraction," J. Opt. Soc. Am. 52, 116-130 (1962).
3. R. G. Kouyoumjian and P. H. Pathak, "A uniform geometrical theory of diffraction for an edge in a perfectly conducting surface," Proc. IEEE 62, 1448-1461 (1974).
4. Y. Rahmat-Samii and R. Mittra, "A spectral domain interpretation of high frequency diffraction phenomenon," IEEE Trans. Antennas Propag. 25, 676-687 (1977).
5. G. A. Deschamps, J. Boersma, and S. W. Lee, "Three-dimensional half-plane diffraction: exact solution and testing of uniform theories," IEEE Trans. Antennas Propag. 32, 264-271 (1984).
6. P. Ya. Ufimtsev, "Elementary edge waves and the physical theory of diffraction," Electromagnetics 11, 125-160 (1991).
7. M. Born and E. Wolf, Principles of Optics (Cambridge U. Press, Cambridge UK 1999), Chap. 11. The expressions are slightly different from what is shown in this paper, because in the book the Gaussian system of units is used along with a time dependence of the form exp(-iωt).
8. A. C. Green, H. L. Bertoni, and L. B. Felsen, "Properties of the shadow cast by a half-screen when illuminated by a Gaussian beam," J. Opt. Soc. Am. 69, 1503-1508 (1979).
9. G. A. Suedan and E. V. Jull, "Beam diffraction by half planes and wedges: uniform and asymptotic solutions," J. Electromagn. Waves Appl. 3, 17-26 (1989).
10. G. A. Suedan and E. V. Jull, "Approximating beam diffraction by a half-plane," J. Electromagn. Waves Appl. 6, 287-295 (1992).
11. P. Million, "Diffraction of a Gaussian beam at a perfectly conducting half-screen," J. Opt. (Paris) 26, 57-64 (1995).
12. J. E. Pearson, T. C. McGill, S. Kurtin, and A. Yariv, "Diffraction of Gaussian laser beams by a semi-infinite plane," J. Opt. Soc. Am. 59, 1440-1445 (1969).
13. T. Takenaka and O. Fukumitsu, "Asymptotic representation of the boundary-diffraction wave for a three-dimensional Gaussian beam incident upon a Kirchhoff half-screen," J. Opt. Soc. Am. 72, 331-336 (1982).
14. G. A. Suedan and E. V. Jull, "Three-dimensional scalar beam diffraction by a half plane," Comput. Phys. Commun. 68, 346-352 (1991).
15. The perfectly conducting half-plane is a model that is a good approximation for a thin metallic sheet at microwave frequencies.
16. We are excluding evanescent waves only in the incident beam, Evanescent waves are included in the diffracted field because each of the plane waves in the incident beam creates a diffracted field that contains evanescent waves.
17. 0 ≫ 1, which is equivalent to inequality (45) when σ is large.
18. G. S. Smith, An Introduction to Classical Electromagnetic Radiation (Cambridge U. Press, Cambridge, UK 1997), Chap. 3.
19. T. B. A. Senior, "The diffraction of a dipole field by a perfectly conducting half-plane," Q. J. Mech. Appl. Math. 6, 101-114 (1953).
20. J. Van Bladel, Singular Electromagnetic Fields and Sources (Oxford U. Press, Oxford, UK, 1991).
21. G. L. James, Geometrical Theory of Diffraction for Electromagnetic Waves (Peregrinus IEE, London, 1986).
22. - for x < 0.