Learn More
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)
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)
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)
— 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)
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)
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)
A Gaussian beam (GB) summation representation for rough surface scattering is introduced. In this scheme, the coherent and incoherent scattered fields are described by a phase-space summation of GBs that emanate from the rough surface at discrete set of points and directions. It thus involves stochastic GB2GB scattering matrices for the coherent and(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)