Explicit asymptotic series describing solutions to the Laplace equation in the vicinity of a circular edge in a three-dimensional domain was recently provided in Yosibash et al, Int. Jour. Fracture, 168 (2011), pp. 31-52. Utilizing it, we extend the quasidual function method (QDFM) for extracting the generalized edge flux intensity functions (GEFIFs) along circular singular edges in the cases o...

In this paper, a rigorous analysis of three stacked circular microstrip patches is performed using a dyadic Green’s functions formulation. The circular discs are embedded in a multilayered substrate containing isotropic and/or uniaxial anisotropic materials. A very efficient technique to derive the dyadic Green’s functions of the stacked configuration in the vector Hankel transform domain is pr...

A newly developed method, named the quasi-dual function method (QDFM) is proposed for extracting edge stress intensity functions (ESIFs) along circular crack fronts from finite element solutions, in a general three-dimensional domain and boundary conditions. The mathematical machinery developed in the framework of the Laplace operator in [17] is extended here to the elasticity system and applie...

A full wave spectral domain method of moment along with reciprocity theorem analysis of finite phased array of aperture coupled circular microstrip patch antennas is presented. Both the electric surface currents on the patches and the equivalent magnetic current on the apertures are considered. Results of reflection coefficient magnitude, active input impedance, active element gain, efficiency ...

The coefficients of the Angular Radial Transform (ART) are used as MPEG-7 Shape descriptors where the bases functions ART are defined in polar coordinates over a unit disk. Conventional computational methods for computing the ART coefficients are depending on a circular to square mapping which produce two kinds of errors and results in inaccurate set descriptors. This work proposes accurate and...

We use finite-difference time-domain (FDTD) simulations to demonstrate enhanced infrared absorption in a photodetector covered with a microstructured metal film consisting of a metal-plasmon grating collector/ concentrator and sub-wavelength detector well; for circular gratings we use radial FDTD, and for linear gratings we use two-dimensional FDTD. We identify a figure of merit to quantify the...

Several important pattern recognition applications are based on feature extraction and vector clustering. Directional patterns may be represented by rotation-variant directional vectors, formed from M features uniformly extracted in M directions. It is often required that pattern recognition algorithms are invariant under pattern rotation or, equivalently, invariant under circular shifts of suc...