Vectorial Gussian beam expansion for high-frequency wave propagation

Wide-waisted Gaussian beam (GB) expansion and point matching methods are discussed in this study as promising techniques for the expansion of electromagnetic waves into GBs. These methods combined with the GB tracing method provide an appropriate scheme for wave propagation analysis in large-scale problems. Details of the wide-waisted GB expansion and point matching methods are provided, and their accuracy and validity regions are discussed. A combination of the aforementioned expansion and tracing methods is utilised to analyse a simple outdoor high-frequency wave propagation problem. The results are compared to the results of the well-known ray tracing method, showing good agreement.

[1]  Alexandre Chabory,et al.  NOVEL GABOR-BASED GAUSSIAN BEAM EXPANSION FOR CURVED APERTURE RADIATION IN DIMENSION TWO , 2006 .

[3]  P. Combes,et al.  Computation of electromagnetic scattering by multilayer dielectric objects using Gaussian beam based techniques , 2005 .

[4]  L. B. Felsen,et al.  Discretized Gabor-based beam algorithm for time-harmonic radiation from two-dimensional truncated planar aperture distributions .I. Formulation and solution , 2002 .

[5]  V. Fouad Hanna,et al.  A beam launching method for propagation modeling in multipath contexts , 2002 .

[6]  C. Letrou,et al.  Alternative to Gabor's representation of plane aperture radiation , 1998 .

[7]  Timor Melamed,et al.  Exact Gaussian Beam Expansion of Time-Harmonic Electromagnetic Waves , 2009 .

[8]  S. Safavi-Naeini,et al.  A fast Gaussian beam tracing method for reflection and refraction of general vectorial astigmatic Gaussian beams from general curved surfaces , 2004 .

[9]  A. Yariv.  Optical electronics in modern communications , 1997 .

[10]  L. W. Davis,et al.  Theory of electromagnetic beams , 1979 .

[11]  Gheorghe Zaharia,et al.  Efficient and fast Gaussian beam-tracking approach for indoor-propagation modeling , 2005 .

[12]  An exact CSP beam representation for EM wave radiation , 2007, 2007 International Conference on Electromagnetics in Advanced Applications.

[13]  Prabhakar H. Pathak,et al.  Analysis of EM penetration into and scattering by electrically large open waveguide cavities using Gaussian beam shooting , 1991, Proc. IEEE.

[14]  Lawrence Carin,et al.  BEAM-TRACING-BASED INVERSE SCATTERING FOR GENERAL APERTURE ANTENNAS , 1999 .

[15]  Hsi-Tseng Chou,et al.  Novel Gaussian beam method for the rapid analysis of large reflector antennas , 2001 .

[16]  S. Raz,et al.  Gabor representation and aperture theory , 1986 .

[17]  Lawrence Carin,et al.  Matching pursuits with a wave-based dictionary , 1997, IEEE Trans. Signal Process..

[18]  Walter L. Smith.  Probability and Statistics , 1959, Nature.

[19]  Constantine A. Balanis,et al.  Antenna Theory: Analysis and Design , 1982 .

[20]  Hsi-Tseng Chou,et al.  Use of Gaussian ray basis functions in ray tracing methods for applications to high frequency wave propagation problems , 2000 .

[21]  L. Felsen,et al.  Aperture-Radiated Electromagnetic Field Synthesis in Complex Environments via Narrow-Waisted Gabor-Discretized Gaussian Beams , 2003 .

[22]  Ehud Heyman,et al.  Frame‐based Gaussian beam summation method: Theory and applications , 2003 .

[23]  L. B. Felsen,et al.  Systematic study of fields due to extended apertures by Gaussian beam discretization , 1989 .

[24]  M. Shabani,et al.  Millimeter wave propagation in a short outdoor link using the vectorial Gaussian beam tracing method , 2006, 2006 Asia-Pacific Microwave Conference.