Isaac Chu, BA, MPH*, Federico Vaca, MD, MPH**, Sam Stratton, MD, MPH** Bharath Chakravarthy, MD**, Wirachin Hoonpongsimanont, MD**, Shahram Lotfipour, MD, MPH** *Western University of Health Sciences, College of Osteopathic Medicine of the Pacific, Pomona, CA **Department of Emergency Medicine, University of California Irvine, School of Medicine, Irvine, CA Correspondence: Shahram Lotfipour, MD...

Employing Lorentz reciprocity and the Stratton-Chu formalism it is shown that the Poincaré-Steklov or admittance operator can be interpreted as a complex symmetric operator mapping the tangential electric field (instead of the equivalent magnetic current) onto the equivalent electric current. We show that the pertinent block Calderón projectors can be reformulated as operators with a block Hami...

using the mean-value theorem for integrals we tried to solved the nonlinear integral equations of hammerstein type . the mean approach is to obtain an initial guess with unknown coefficients for unknown function y(x). the procedure of this method is so fast and don't need high cpu and complicated programming. the advantages of this method are that we can applied for those integral equation...

Small parameter power series expansions for both radial and angular Mathieu functions are derived. The expansions are valid for all integer orders and apply the Stratton-Morse-Chu normalization. Three new contributions are provided: (1) explicit power series expansions for the radial functions, which are not available in the literature; (2) improved convergence rate of the power series expansio...

Abstract Focusing systems with high numerical aperture can be used to convert spin angular momentum into orbital efficiencies of 50%, while for low apertures this conversion vanishes. In paper, based on the properties binary Fresnel zone plates, we propose a structure that is achieved by making an accurate selection width and depth rings. This allows us obtain large increase in resulting focusi...

in this paper, we will compare a homotopy perturbation algorithm and taylor series expansin method for a system of second kind fredholm integral equations. an application of he’s homotopy perturbation method is applied to solve the system of fredholm integral equations. taylor series expansin method reduce the system of integral equations to a linear system of ordinary differential equation.

an ecient method, based on the legendre wavelets, is proposed to solve thesecond kind fredholm and volterra integral equations of hammerstein type.the properties of legendre wavelet family are utilized to reduce a nonlinearintegral equation to a system of nonlinear algebraic equations, which is easilyhandled with the well-known newton's method. examples assuring eciencyof the method and ...

this paper gives an ecient numerical method for solving the nonlinear systemof volterra-fredholm integral equations. a legendre-spectral method based onthe legendre integration gauss points and lagrange interpolation is proposedto convert the nonlinear integral equations to a nonlinear system of equationswhere the solution leads to the values of unknown functions at collocationpoints.