A new solution for the problem of plane wave diffraction by a 2-D aperture in a ground plane

IEEE Transactions on Antennas and Propagation

Volumn 53, Issue 7, 2005, Pages 2299-2306

  Dvorak, Steven L ^a   Pao, Hsueh Yuan ^b  

^a University of Arizona   (United States)

^b LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

Author keywords

Diffraction; Electromagnetic propagation; Equivalent sources; Incomplete Lipschitz Hankel integrals

Indexed keywords

APPROXIMATION THEORY; ELECTROMAGNETIC FIELDS; ELECTROMAGNETIC WAVE PROPAGATION; FOURIER TRANSFORMS; INTEGRAL EQUATIONS; NUMERICAL METHODS;

EQUIVALENT SOURCES; INCOMPLETE LIPSCHITZ-HANKEL INTEGRALS; PLANE WAVE DIFFRACTION;

ELECTROMAGNETIC WAVE DIFFRACTION;

EID: 23044461871     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAP.2005.850747     Document Type: Article

References (16)

1. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. New York: McGraw-Hill, 1996.
2. M. Born, E. Wolf, and A. B. Bhatia, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light, 7th ed. Cambridge, U.K.: Cambridge Univ. Press, 1999.
3. J. J. Stamnes, Waves in Focal Regions. Bristol, England: IOP Publishing, 1986.
4. J. J. Bowman, T. B. A. Senior, and P. L. E. Uslenghi, Eds., Electromagnetic and Acoustic Scattering by Simple Shapes, Revised Printing. New York: Hemisphere Publishing, 1987.
5. J. J. Stamnes, "Exact two-dimensional scattering by perfectly reflecting elliptical cylinders, strips and slits," Pure Appl. Opt., vol: 4, pp. 841-855, 1995.
6. J. J. Stamnes and H. A. Eide, "Exact and approximate solutions for focusing of two-dimensional waves. I. Theory," J. Opt. Soc. Amer. A, vol. 15, no. 5, pp. 1285-1291, 1998.
7. H. A. Eide and J. J. Stamnes, "Exact and approximate solutions for focusing of two-dimensional waves. II. Numerical comparisons among exact, Debye, and Kirchhoff theories," J. Opt. Soc. Amer. A, vol. 15, no. 5, pp. 1292-1307, 1998.
8. R. F. Harrington, Time-Harmonic Electromagnetic Fields. New York: McGraw-Hill, 1961.
9. G. E. Evans, S. L. Dvorak, and S. A. Fast, "Efficient computation of Fresnel zone fields associated with circular apertures," Radio Sci., vol. 29, no. 4, pp. 705-715, 1994.
10. o(a, z)," J. Comput. Phys., vol. 87, no. 2, pp. 301-327, 1990.
11. o(a, z)," Radio Sci., vol. 30, no. 5, pp. 1393-1404, 1995.
12. o(a, z)," Radio Sci., vol. 31, no. 2, pp. 409-422, 1996.
13. Z. Zhu, S. L. Dvorak, D. L. Heckmann, and J. L. Prince, "Numerical computation of incomplete Lipschitz-Hankel integrals of the Hankel type for complex-valued arguments," Radio Sci., to be published.
14. G. Evans and S. L. Dvorak, "A new technique for computing the field amplitude in the Fresnel region of a lens," J. Modern Optics, vol. 43, no. 1, pp. 49-65, 1996.
15. S. L. Dvorak, "Exact, closed-form field expressions for two-dimensional, traveling-wave current strips," IEEE Trans. Antennas Propag., vol. 42, no. 12, pp. 1639-1645, Dec. 1994.
16. The NAG Fortran Mini Manual, Mark 12, Numerical Algorithms Group Ltd., Oxford, U.K., 1977.