Ehud Heyman

Learn More
— This paper investigates a certain class of three-dimensional (3-D) (volume) sources to the scalar wave equation that are capable of radiating high-amplitude short-duration pulses in a selected (main) direction and low-amplitude long-duration pulses in other directions. Parameterization and characterization of such sources and the fields that they radiate(More)
The Airy beams are analyzed in order to provide a cogent physical explanation to their intriguing features which include weak diffraction, curved propagation trajectories in free-space, and self healing. The asymptotically exact analysis utilizes the method of uniform geometrical optics (UGO), and it is also verified via a uniform asymptotic evaluation of(More)
An analytical approach is presented to analyze the diffraction of a scalar complex-source beam (CSB) by an acoustically soft or hard semi-infinite circular cone. The beam is described by a spherical-multipole expansion and impinges exactly on the tip of the cone from an arbitrary direction. The numerical results include an investigation of the total field(More)
We present a novel beam summation (BS) formulation for tracking wave fields in weakly fluctuating media. The overall strategy is to express the field in the medium as a discrete phase-space spectrum of beam waves, and to expand the local scattering excited by the interaction of each beam with the medium using the same beam set. Since the beams are localized(More)
—In a previous paper [1], we studied transient radiation from scalar collimated volume source distributions subjected to impulsive excitation. In this paper, we extend our analysis and results to the case of nonimpulsive excitation, paying special attention to the parameterization of the radiation pattern of three-dimensional (3-D) ellipsoid source(More)
|The use of models of ctitious elemental current sources, located inside the scatterer, to simulate the scattered eld, has proved to be an eecient computational technique for analyzing scattering by metallic bodies. This paper presents a novel modiication of the technique in which the omnidirectional elemental sources are arranged in groups of array-sources(More)
We present a novel strategy for tracking time-dependant waves. The theory is structured upon a discrete phase-space set of pulsed beam (PB) waves (space-time wavepackets), which is shown to constitute an overcomplete frame. We show that the field radiated by any time-dependent volume source distribution (with aperture sources being a special case) can be(More)
In Part I of this two-part paper we presented the “propagating beam frame” (PBF) concept, which provides a self-consistent framework for wave tracking through a fluctuating medium. The field is expanded using the BPF and the local scattering of each beam by the medium is re-expanded using the same beam-set and expressed as beam-to-beam (B2B)(More)