Discretized gabor-based beam algorithm for time-harmonic radiation from two-dimensional truncated planar aperture distributions - I: Formulation and solution

IEEE Transactions on Antennas and Propagation

Volumn 50, Issue 12, 2002, Pages 1751-1759

  Maciel, John J ^a,b   Felsen, Leopold B ^c,d  

^a Radant Technologies Inc   (United States)

^b Radant MEMS Incorporated   (United States)

^c Boston University   (United States)

^d POLYTECHNIC UNIVERSITY   (United States)

Author keywords

Apertures; Electromagnetics; Gabor; Gaussian beams

Indexed keywords

ALGORITHMS; ELECTROMAGNETIC FIELD THEORY; ELECTROMAGNETIC WAVE SCATTERING; NUMERICAL ANALYSIS; PROBABILITY DISTRIBUTIONS; THREE DIMENSIONAL; TWO DIMENSIONAL;

DISCRETIZED GABOR-BASED BEAM ALGORITHM; TIME-HARMONIC RADIATION; TWO-DIMENSIONAL TRUNCATED PLANAR APERTURE DISTRIBUTIONS;

ELECTROMAGNETIC FIELDS;

EID: 0037005031     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAP.2002.807419     Document Type: Article

References (23)

1. J. J. Maciel and L. B. Felsen, "Systematic study of fields due to extended apertures by Gaussian beam discretization," IEEE Trans. Antennas Propagat., vol. 37, pp. 884-892, July 1989.
2. ____, "Gaussian beam analysis of propagation from an extended plane aperture distribution through dielectric layers: Part I-Plane layer," IEEE Trans. Antennas Propagat., vol. 38, pp. 1607-1617, Oct. 1990.
3. ____, "Gaussian beam analysis of propagation from an extended plane aperture distribution through dielectric layers: Part II-Circular cylindrical layer," IEEE Trans. Antennas Propagat., vol. 38, pp. 1618-1624, Oct. 1990.
4. V. Galdi, L. B. Felsen, and D. A. Castanon, "Quasiray Gaussian beam algorithm for time-harmonic two-dimensional scattering by moderately rough interfaces," IEEE Trans. Antennas Propagat., vol. 49, pp. 1305-1314, Sept. 2001.
5. ____, "Narrow-waisted Gaussian beam discretization for short-pulse radiation from one-dimensional large apertures," IEEE Trans. Antennas Propagat., vol. 49, pp. 1322-1332, Sept. 2001.
6. L. B. Felsen and V. Galdi, "Complex-source-point narrow-waisted ray-like Gaussian beams for frequency and time domain radiation and scattering," Ultrawideband Short-Pulse Electromagnetics, vol. 5, 2001.
7. V. Galdi, L. B. Felsen, and D. A. Castanon, "Time domain radiation from large 2-D apertures via narrow-waisted Gaussian beams," IEEE Trans. Antennas Propagat., Jan. 2003, to be published.
8. J. J. Maciel and L. B. Felsen, "Discretized Gabor-based beam algorithm for time-harmonic radiation from two-dimensional truncated planar aperture distributions-Part II: Asymptotics and numerical tests," IEEE Trans. Antennas Propagat., pp. XXX-XXX, Dec. 2002, to be published.
9. B. Z. Steinberg, E. Heyman, and L. B. Felsen, "Phase-space methods for radiation from large apertures," Radio Sci., vol. 26, pp. 219-227, Jan.-Feb. 1991.
10. ____, "Phase-space beam summation for time-harmonic radiation from large apertures," J. Opt. Soc. Amer., vol. 8, pp. 41-59, Jan. 1991.
11. T. Melamed, E. Heyman, and L. B. Felsen, "Local spectral analysis of short-pulse excited scattering from weakly inhomogeneous media. Part I. Forward scattering," IEEE Trans. Antennas Propagat., vol. 47, pp. 1208-1217, July 1999.
12. ____, "Local spectral analysis of short-pulse excited scattering from weakly inhomogeneous media. Part II. Inverse scattering," IEEE Trans. Antennas Propagat., vol. 47, pp. 1218-1227, July 1999.
13. V. Galdi, D. A. Castanon, and L. B. Felsen, "Multifrequency reconstruction of moderately rough interfaces by quasiray Gaussian beams," IEEE Trans. Geosci. Remote Sensing, pp. 453-460, Feb. 40, to be published.
14. V. Galdi, J. Pavlovich, D. A. Castañon, W. C. Karl, and L. B. Felsen, "Moderately rough dielectric interface reconstruction via short-pulse quasiray Gaussian beams," IEEE Trans. Antennas Propagat., 2003, to be published.
15. J. J. Maciel and L. B. Felsen, "Gabor-based narrow-waisted Gaussian beam algorithm for transmission through a spherically layered radome," presented at the 2001 IEEE AP-S/URSI Meeting, Boston, MA, July 2001.
16. ____, Gabor-based narrow-waisted Gaussian beam algorithm for transmission of aperture-excited 3D vector fields through arbitrarily shaped 3D dielectric layers, in Radio Sci., Nov. 2002, submitted for publication.
17. H. T. Chou and P. H. Pathak, "Uniform asymptotic solution for electromagnetic reflection and diffraction of an arbitrary Gaussian beam by a smooth surface with an edge," Radio Sci., vol. 32, pp. 1319-1336, July-Aug. 1997.
18. A. Papoulis, Signal Analysis. New York: MacGraw-Hill, 1977, p. 24, 74.
19. E. T. Whittaker and G. N. Watson, A course of modern analysis. Cambridge, U.K.: Cambridge Univ. Press, 1988, ch. 21.
20. J. J. Maciel, "New Spectral (Gaussian Beam) Techniques for Propagation of High Frequency Fields from Distributed Apertures Through Complicated Environments," Ph.D. dissertation, Polytechnic Univ, New York, 1990.
21. J. M. Klosner, L. B. Felsen, I. T. Lu, and H. Grossfeld, "Three-dimensional source field modeling by self-consistent Gaussian beam superposition," J. Acoust. Soc. Amer., vol. 91, no. 4, pp. 1809-1822, Apr. 1992.
22. L. B. Felsen and N. Marcuvitz, Radiation and Scattering of Waves. Piscataway, NJ: IEEE Press, 1994.
23. M. J. Bastiaans, "The expansion of an optical signal into a discrete set of Gaussian beams," Optik, vol. 57, no. 1, pp. 95-102, 1980.