Generalized ray method for three-dimensional propagation in a penetrable wedge

An explicit analytical solution for sound propagation in a three-dimensional penetrable wedge with small apex angle.

A problem of sound propagation in a shallow-water waveguide with a weakly sloping penetrable bottom is considered. The adiabatic mode parabolic equations are used to approximate the solution of the three-dimensional (3D) Helmholtz equation by modal decomposition of the acoustic pressure field. The mode amplitudes satisfy parabolic equations that admit analytical solutions in the special case of...

A generalized ®nite element method for the simulation of three- dimensional dynamic crack propagation

This paper is aimed at presenting a partition of unity method for the simulation of three-dimensional dynamic crack propagation. The method is a variation of the partition of unity ®nite element method and hp-cloud method. In the context of crack simulation, this method allows for modeling of arbitrary dynamic crack propagation without any remeshing of the domain. In the proposed method, the ap...

A Generalized Finite Element Method for the Simulation of Three-Dimensional Dynami Cra k Propagation

Scaled model experiment of long-range across-slope pulse propagation in a penetrable wedge.

In this paper, laboratory scale measurements of long-range across-slope propagation of broadband pulses in a shallow-water wedge-shaped environment with a sandy bottom are reported. The scaled model was designed to study the three-dimensional (3D) acoustic field in the presence of only a few propagating modes. The recorded time series exhibit prominent 3D effects such as mode shadow zones and m...

A New Method for Calculating Propagation Modes of a One Dimensional Photonic Crystal (RESEARCH NOTE)

Photonic band-gap (PBG) crystals offer new dimensions of freedom in controlling propagation of electromagnetic waves. The existence of stop-bands in the transmission characteristic of these crystals makes them a suitable element for the realization of many useful microwave and optical subsystems. In this paper, we calculate the propagation constant of a one-dimensional (1-D) photonic crystal by...