A Beam Summation Representation for 3-D Radiation From a Line Source Distribution

• Published in: IEEE transactions on antennas and propagation Vol. 56; no. 2; pp. 602 - 605
• Main Authors: Katsav, Michael, Heyman, Ehud
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01-02-2008; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Antennas; Apertures; Applied classical electromagnetism; Beams (radiation); Collimators; Decomposition; Diffraction; Electromagnetic wave propagation, radiowave propagation; Electromagnetism; electron and ion optics; Exact sciences and technology; Frequency; Fundamental areas of phenomenology (including applications); Gaussian beam summation (GBS); Gaussian beams (optics); Guidelines; Partial differential equations; Physics; Polar coordinates; Representations; Structural beams; Ultra wideband technology; Gaussian beam; Electromagnetic wave propagation; Polar coordinate; Radiation sources; Coordinate system; Phase space; Summation; Gaussian beam summation (GBS)
• ISSN: 0018-926X; 1558-2221
• DOI: 10.1109/TAP.2007.913173

We introduce a Gaussian beams summation (GBS) scheme for radiation from a source distribution along a line in a 3-D configuration. The expansion is based on a discrete phase-space decomposition of the source distribution along the source axis, thus describing the field as a sum of Gaussian beams (GBs) emerging from a discrete set of points along the axis, at a discrete set of directions in a polar coordinate system. Applications to GBS representation of fields diffracted by edges is 3-D configurations are discussed.