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Mathematically strong and numerically efficient approach for simulation of waveguides and cylindrical resonators of arbitrary profile in the case of H-(TE-) polarized waves is suggested. The approach is based on new implementation of Analytical Regularization Method. Special attention paid to methods of the profiles infinitely smoothing, which gives a possibility to achieve a super-algebraic (faster...
This paper describes the application of the analytical regularization method to the solution of electrostatic problem for several charged coaxial surfaces of revolution of arbitrary profile. The surfaces may be closed or open.
In this paper an analytical model for current-induced vortex core displacement is developed. The effects of adiabatic and non-adiabatic spin torque are taken into account and the resulting vortex core displacement direction is determined.
The Dirichlet problem for Laplace's equation in an area between two arbitrary profiled infinitely long cylinders is rigorously solved by the Method of Regularization. The obtained solution is applied to the accurate analysis of the shielded microstrip line with homogeneous dielectric filling and thick conductor - the structure supporting the transmission of an ideal TEM-wave. Capacitance and characteristic...
In a recent work we found equivalence between the Time Reversal techniques and the use of Meta-materials in order to achieve the overcoming of the diffraction limit. Now we present the vector generalization of a formalism developed in a former study of Discrete Acoustic Time Reversal. The ulterior purpose is to apply it to electromagnetic waves, not only as an alternative to the use of left-hand materials...
Understanding the early growth of the lightning discharge is important because that part of the discharge evolution establishes the high-frequency transmissions from lightning. In this paper, we extend the work from ICEAA 2009 on quantitatively describing the radial charges, fields and currents from the relaxing environment between leader and return stroke events. The purpose of this work is to establish...
In the paper, we solve the so-called open problems for electromagnetic field distribution in axially symmetrical open resonant structures. We construct the Exact Absorbing Conditions that allow efficient truncating the computational domain. Proof of equivalency between these initial and modified problems will also be provided.
The analysis of time varying electromagnetic fields in conductor media can be done by an integral equation in terms of the current density vector. For time domain solutions concerning complex structures, numerical procedures are useful and, for their correct application, stability conditions must be defined. In this paper conditions of applicability are analyzed and simulation examples are shown for...
In this paper, the integral equation - fast Fourier transformation (IE-FFT) with grid-robust higher order vector basis functions is presented. The magnetic field integral equation (MFIE) is used for solving scattering from three-dimensional closed perfectly electric conductor (PEC). Conformal mesh is required for traditional basis function based on common edges between adjacent elements. This is very...
A predicting methodology of scattering by a cluster of multi-objects/systems is proposed in this paper. In this predicting methodology, a representation of scattering by each object/system in the cluster is formulated with plane waves. Then an equation based on this plane wave representation is established for formulating interaction among objects/systems in the cluster. Finally, the equation is efficiently...
We tackle the scattering from a finite dielectric host medium containing a regular arrangement of (metallic or penetrable) inclusions by using the linear embedding via Green's operators method. After “dicing” the structure into “bricks”, we state an integral equation which we turn into a weak form via the Method of Moments (MoM) with subdomain basis functions. Then, to proceed i) we compress the off-diagonal...
This paper presents a spectral-domain formulation of two-dimensional electromagnetic scattering from a cylinder located near lamellar grating. The formulation is based on the pseudo-periodic Fourier transform that converts an arbitrary function into pseudo-periodic one. Therefore, the scattering problem from imperfectly periodic structure becomes possible to be considered by the conventional grating...
The Nyström method is a higher-order numerical method for solving a wide range of integral equations. While “Locally Corrected” Nyström methods can be developed for general integral equations in electromagnetism, the simpler Nyström method itself cannot be easily applied, except in particular cases. Here we present a heuristic approach to the solution of a volume integral equation for dielectric...
This paper describes the application of an efficient implicit finite-difference time-domain method (FDTD) based on the locally one-dimensional (LOD) scheme to the analysis of periodic band-gap structures. In particular, the technique of oblique incidence is introduced into the periodic LOD-FDTD method. To maintain a tridiagonal system of linear equations, we newly develop a three-step algorithm consistent...
Two analytical techniques for the generation of wide classes of exact solutions of the nonlinear Schrödinger equation (NLSE) containing an external potential are proposed. Both methods are illustrated by a variety of localized solutions, including solitary optical vortices, for both the self-focusing and self-defocusing nonlinearities. The stability of solutions was tested by direct numerical simulations...
A rigorous solution for the scattering problem of cylindrical lens reflector (CLR) due to an oblique incident plane wave is presented. The solution computed is based on the semi-analytic Method of Regularization (MoR), and hence, enjoys the properties of guaranteed accuracy and fast convergence. Numerical validations of the proposed algorithm, and study of the required truncation number Ntr are presented.
The response of aperture-backed cavities and other highly resonant scatterers can pose difficulties for general purpose computational codes, in both time- and frequency-domain. An accurate, numerically efficient frequency domain solution is developed for the scalar wave diffraction problem from an arbitrary shaped body of revolution, either closed or having an aperture. The Dirichlet boundary condition...
This paper deals with geometric properties of first order Hamiltonian systems in field theory. We focus on the physical system properties, especially on energy flows as well as on an adequate formulation of input and output maps including differential operators. The proposed machinery is demonstrated on modeling of piezoelectric structures and magnetohydrodynamical systems.
This paper examines the applications of statistical physics-stochastic processes, ergodic principles, the use of nonlinear dynamic state equations and chaos, and the Wiener-Khintchine theorem to better explain how Intentional ElectroMagnetic Interference (IEMI) disrupts the performance of feedback and hybrid electronic systems such as control systems, power electronics and SCADAs. The origin of spurious...
Placing a phased array at the focus of a paraboloidal reflector increases the area of sky a radio telescope can observe. For a 9×10 chequerboard phased array on a 12 m parabolic dish the available field of view increase from 1 to 36 square degrees at 1.4 GHz. To access this field of view multiple beams are formed. It is impractical to form enough beams to recover all the energy incident on the phased...
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