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- Richard W. Ziolkowski, Ehud Heyman
- Physical review. E, Statistical, nonlinear, and…
- 2001

Wave propagation in a double negative (DNG) medium, i.e., a medium having negative permittivity and negative permeability, is studied both analytically and numerically. The choices of the square root that leads to the index of refraction and the wave impedance in a DNG medium are determined by imposing analyticity in the complex frequency domain, and the… (More)

- Ehud Heyman, Leopold B. Felsen
- Journal of the Optical Society of America. A…
- 2001

Paraxial Gaussian beams (GB's) are collimated wave objects that have found wide application in optical system analysis and design. A GB propagates in physical space according to well-established quasi-geometric-optical rules that can accommodate weakly inhomogeneous media as well as reflection from and transmission through curved interfaces and thin-lens… (More)

- Lars -Göran Josefsson, Patrik Persson, +14 authors Ehud Heyman
- 2006

- Yan Kaganovsky, Ehud Heyman
- 2010 URSI International Symposium on…
- 2010

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)

- Tal Heilpern, Ehud Heyman, Vadim Timchenko
- The Journal of the Acoustical Society of America
- 2007

A Gaussian beams summation (GBS) algorithm for tracking source excited wave fields in plane stratified media is presented. In the present application the medium is described by layers with constant gradient of the wave speed, and the GB propagators are calculated recursively in a closed form. The algorithm is calibrated for numerical efficacy and accuracy… (More)

- Yan Kaganovsky, Ehud Heyman
- Journal of the Optical Society of America. A…
- 2012

The three-dimensional Airy beam (AiB) is thoroughly explored from a wave-theory point of view. We utilize the exact spectral integral for the AiB to derive local ray-based solutions that do not suffer from the limitations of the conventional parabolic equation (PE) solution and are valid far beyond the paraxial zone and for longer ranges. The ray topology… (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)

- Yan Kaganovsky, Ehud Heyman
- Journal of the Optical Society of America. A…
- 2011

The Airy beam (AiB) has attracted a lot of attention recently because of its intriguing features; the most distinctive ones are the propagation along curved trajectories in free space and the weak diffraction. We have previously shown that the AiB is, in fact, a caustic of the rays that radiate from the tail of the Airy function aperture distribution. Here… (More)

This paper investigates a certain class of threedimensional (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 longduration pulses in other directions. Parameterization and characterization of such sources and the fields that they radiate is… (More)

Wave propagation in complex inhomogeneous, quasi-layered, 3D media is addressed using multires-olution analysis (MRA). The complexity is characterized by a fast, nely structured, variation of the system heterogeneity in the vertical (stratiication) direction, and a slow horizontal variation of the system heterogene-ity and/or the vertical boundaries (\fast"… (More)