Abstract
Beam based phase-space formulations are an important tool in wave theory since they provide a systematic framework for ray-based construction of spectrally uniform local solutions in complex configurations. An important property of these formulations is that the spectrum of beam propagators is overcomplete and thus may be a priori discretized as, for example, in the Gabor series. The latter, however, is critically complete and hence suffers from two inherent difficulties: (a) Non-locality and instability of the expansion coefficients, and (b) the phase space beam lattice (origins and directions) varies with frequency. Property (b) makes the conventional Gabor-based beam formulation inapplicable for wideband applications since it requires the tracking of different beams for each frequency. Property (a) makes it inconvenient even for monochromatic fields.
Original language | Undefined/Unknown |
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Title of host publication | Ultra-Wideband, Short-Pulse Electromagnetics 6 |
Place of Publication | Boston, MA |
Publisher | Springer US |
Pages | 101-112 |
Number of pages | 12 |
ISBN (Print) | 978-1-4419-9146-1 |
State | Published - 2003 |