Closed form expressions for the electromagnetic fields in homogeneous anisotropic media are derived terms of circular cylindrical vector wave functions isotropic media. An analytical solution is obtained problem scattering by an infinite cylinder obliquely incident plane arbitrary linear polarization. Numerical implementation and convergence behavior this discussed. results some special cases compared with existing data. We also present numerical more general material case both graphical...

In this paper, we consider the multidimensional stability of planar traveling waves for nonlocal dispersal competitive Lotka-Volterra system with time delay in $ n $–dimensional space. More precisely, prove that all speed c>c^* are exponentially stable L^{\infty}(\mathbb{R}^n ) form t^{-\frac{n}{2\alpha }}{\rm{e}}^{-\varepsilon_{\tau} \sigma t} some constants >0 and \varepsilon_{\tau} \in (0,1) $, where = \varepsilon(\tau) is a decreasing function refer to \tau>0 $. It also realized...

The analytical solution of the scattering fields a ferrite sphere by plane wave using spherical vector-wave-function is obtained in this paper. In source-free anisotropic media, Maxwell's equations, expansion factors with isotropic and Fourier transformation, eigenfunction representation are derived spectral domain. It shown that equations for medium composed two eigenwave traveling different numbers. A special numerical result given between MOM-CGFFT (Moment Methods, Conjugate Gradient...

We study the existence and nonexistence of traveling waves reaction‐diffusion equations that describes a diffusive SEIR model with nonlocal reaction between infected subpopulation susceptible subpopulation, where total population is not constant. The depends on basic reproduction number R 0 corresponding ordinary differential minimal wave speed c ∗ . main difficulty lack order‐preserving property our general system. Its proof showed by constructing closed convex set applying Schauder fixed...

The general solutions of the first, second, third, and fourth kinds to wave equation in homogeneous anisotropic media are expressed by integrals over a finite range. convergence series solution functions [Phys. Rev. E 47, 664 (1993)] is discussed. use demonstrated. theory expounded via an illustrative example two-dimensional scalar case. analytical plane-wave scattering conducting circular cylinder coated with materials formulated terms for media. Numerical results show that various gives...

The integrated crosstalk noise (ICN) has been proposed in the IEEE 802.3ba standard to measure high-speed channel and accepted as a replacement of ICR (Insertion Crosstalk Ratio) for estimation. As PHY options NRZ, PAM-4 and/or Duobinary are actively explored higher data rate, generalized ICN model will be needed characterizing SI performance. This paper presents analysis 10 Gb/s NRZ coding based system generalizes 25 beyond adopting or scheme.

It is well known that in an unbounded anisotropic homogeneous medium there are eigen plane wave solutions, and the fields inside a circle can be expressed as integral of waves with respect to polar angle. In this paper expanded finite summation different angles. Each wavefunction first kind, which represented by series. From series form wavefunctions kind for media, representation explicit coefficients circular cylindrical second, third, fourth media obtained. This further deals numerical...

Abstract Simultaneous derivation of multiple ionospheric parameters from the incoherent scatter power spectra in F 1 region is difficult because have only subtle differences for different combinations parameters. In this study, we apply a particle swarm optimizer (PSO) to spectrum fitting and compare it commonly used least squares (LSF) technique. The PSO method found outperform LSF practically all scenarios using simulated data. offers advantages not being sensitive initial assumptions...

An analytical solution of Gaussian beam scattering by a conducting circular cylinder coated with an anisotropic material is formulated in terms the wave functions for media. This formally similar to elliptical isotropic dielectric coating. In coating and exterior free space region, fields are expanded newly developed media well‐known media, respectively. Numerical results presented reference purpose. The effects spot size location waist beam, electrical anisotropic‐coated on scattered field...

In this paper, a novel mesh fencing technique is proposed to mitigate the induced radiation from power bus due fast switching. The mitigation effectiveness investigated and quantified using Finite Element Method (FEM) full wave solver.

This work focuses on the asymptotic stability of nonlocal diffusion equations in ‐dimensional space with time‐delayed response term. To begin with, we prove and ‐decay estimates for fundamental solution linear equation by Fourier transform. For considered equation, show that if , then converges globally to trivial equilibrium time‐exponentially. If time‐algebraically. Furthermore, it can be proved when positive time‐exponentially, Here, are coefficients each term contained part nonlinear ....

We study the traveling waves of reaction-diffusion equations for a diffusive SEIR model with general nonlinear incidence. The existence is determined by basic reproduction number corresponding ordinary differential and minimal wave speed. Its proof showed introducing an auxiliary system, applying Schauder fixed point theorem then limiting argument. non-existence obtained two-sided Laplace transform when speed less than critical velocity. Finally, we present some examples to support our...

Abstract An analytical solution of plane‐wave scattering by an anisotropic circular cylinder is given in terms the wave functions for media. The T matrix derived. Numerical results low‐frequency range are used to check our calculations, and those resonance region also presented.

In this paper, we consider the multidimensional stability of planar waves for a class nonlocal dispersal equation in $n$-dimensional space with time delay. We prove that all noncritical are exponentially stable $L^{\infty}(\mathbb{R}^n )$ form ${\rm{e}}^{-\mu_{\tau} t}$ some constant $\mu_{\tau} =\mu(\tau)>0$($\tau >0$ is delay) by using comparison principle and Fourier transform. It also realized that, effect delay essentially causes decay rate solution slowly down. While, critical...

Using absorption materials to reduce RF heating during MRI procedure is studied in this paper. Materials with different electromagnetic characteristics are used alter the EM and current distributions on device. Consequently, induced behaviors of external fixation devices can be reduced. Numerical experimental studies provided demonstrate potentials reducing for using lossy materials.

The electromagnetic scattering from an anisotropically coated impedance cylinder is formulated by using the wave functions for anisotropic media and boundary-value method. This composite structure assumed to be infinite in length, it illuminated a plane or cylindrical line source. problem two dimensional solutions both types of polarisation (TE TM) are presented. validity this solution verified comparing numerical results with those literature. Numerical effects various geometrical...

A resistive mesh fencing technique is developed to mitigate fast switching induced radiation from the power bus in printed circuit boards (PCB). The mitigation effectiveness studied and quantified using a finite element method (FEM) based full wave solver. When compared with regular via techniques, proposed here gives higher suppression of radiated EMI noise by dissipating currents flowing within structures.

This paper is concerned with the nonlinear stability of traveling waves a delayed monostable epidemic model quasi-monotone condition. We prove that wave front exponentially stable by means weighted-energy method and comparison principle to perturbation in some weighted $L^{\infty}$ spaces, when difference between initial data decays as $x \to -\infty$, but can be suitable large other locations. Finally, we present two examples support our theoretical results.

An alternative wave-function theory based on the spline approximation of undetermined angular-spectrum amplitudes in homogeneous anisotropic media is developed. The scattering a scalar wave by an anisotropically coated cylinder considered as illustrative example. Numerical results for bi- static radar cross section are presented both transverse electric and magnetic polarizations to validate our theory. present method applicable scalar, vector, tensor fields any bounded coordinate systems.