Results 11 to 20 of about 624 (44)
Analytical results for 2-D non-rectilinear waveguides based on the Green's function [PDF]
, 2007 We consider the problem of wave propagation for a 2-D rectilinear optical waveguide which presents some perturbation. We construct a mathematical framework to study such a problem and prove the existence of a solution for the case of small imperfections.
Ciraolo, Giulio, Magnanini, Rolando
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Born‐infeld electrodynamics: Clifford number and spinor representations
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 2, Page 77-84, 2002., 2002 The Clifford number formalism for Maxwell equations is considered. The Clifford imaginary unit for space‐time is introduced as coordinate independent form of fully antisymmetric fourth‐rank tensor. The representation of Maxwell equations in massless Dirac equation form is considered; we also consider two approaches to the invariance of Dirac equation ...
Alexander A. Chernitskii
wiley +1 more source
Advanced Nonlinear Studies, 2020 In this paper, we study the existence of ground state solutions for the nonlinear Schrödinger–Bopp–Podolsky system with critical Sobolev ...
Li Lin, Pucci Patrizia, Tang Xianhua
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Iterative solution of quadratic tensor equations for mutual polarisation
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 5, Page 301-312, 2002., 2002 To describe mutual polarisation in bulk materials containing high polarisability molecules, local fields beyond the linear approximation need to be included. A second order tensor equation is formulated, and it describes this in the case of crystalline or at least locally ordered materials such as an idealised polymer. It is shown that this equation is
Wynand S. Verwoerd
wiley +1 more source
Comparison of linear and non-linear monotononicity-based shape reconstruction using exact matrix characterizations [PDF]
, 2017 Detecting inhomogeneities in the electrical conductivity is a special case of the inverse problem in electrical impedance tomography, that leads to fast direct reconstruction methods.
Garde, Henrik
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Uncountably Many Solutions for Nonlinear Helmholtz and Curl-Curl Equations
Advanced Nonlinear Studies, 2019 We obtain uncountably many solutions of nonlinear Helmholtz and curl-curl equations on the entire space using a fixed point approach. The constructed solutions are mildly localized as they lie in the essential spectrum of the corresponding linear ...
Mandel Rainer
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Curvature stabilized skyrmions with angular momentum
, 2019 We examine skyrmionic field configurations on a spherical ferromagnet with large normal anisotropy. Exploiting variational concepts of angular momentum we find a new family of localized solutions to the Landau-Lifshitz equation that are topologically ...
Melcher, Christof, Sakellaris, Zisis N.
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Edge-promoting reconstruction of absorption and diffusivity in optical tomography [PDF]
, 2015 In optical tomography a physical body is illuminated with near-infrared light and the resulting outward photon flux is measured at the object boundary. The goal is to reconstruct internal optical properties of the body, such as absorption and diffusivity.
Hannukainen, Antti +3 more
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Klein-Gordon-Maxwell System in a bounded domain
, 2008 This paper is concerned with the Klein-Gordon-Maxwell system in a bounded spatial domain. We discuss the existence of standing waves $\psi=u(x)e^{-i\omega t}$ in equilibrium with a purely electrostatic field $\mathbf{E}=-\nabla\phi(x)$.
d'Avenia, Pietro +2 more
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Multiple Aharonov--Bohm eigenvalues: the case of the first eigenvalue on the disk
, 2018 It is known that the first eigenvalue for Aharonov--Bohm operators with half-integer circulation in the unit disk is double if the potential's pole is located at the origin. We prove that in fact it is simple as the pole $a\neq 0$
Abatangelo, Laura
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