H-measures and System of Maxwell’s
نویسنده
چکیده
We are interested in the homogenization of energy like quantities in electromagnetism. We prove a general propagation Theorem for H-measures associated to Maxwell’s system, in the full space Ω = R, without boundary conditions. We shall distinguish between two cases: constant coefficient case, and non coefficient-scalar case. In the two cases we give the behaviour of the H-measures associated to this system.
منابع مشابه
Finite-Difference Time-Domain Simulation of Light Propagation in 2D Periodic and Quasi-Periodic Photonic Structures
Ultra-short pulse is a promising technology for achieving ultra-high data rate transmission which is required to follow the increased demand of data transport over an optical communication system. Therefore, the propagation of such type of pulses and the effects that it may suffer during its transmission through an optical waveguide has received a great deal of attention in the recent years. We...
متن کاملA Study of the Linear Electromagnetic Generator for Harvesting Electrical Energy from Initial Acceleration: Design, Optimization, and Experimental Validation
One of the important requirements in projectiles is to design a power supply for fuse consumption. In this study, an optimum design for the power supply, which includes a Miniaturized Inertia Generator (MIG), was introduced. The main objective of this research was to optimize the dimensions of the MIG with the aim of increasing energy. To achieve this, the design of experiment (DOE) was carried...
متن کاملA pr 1 99 8 On a Singular Limit Problem for Nonlinear Maxwell ’ s Equations
In this paper we study the following nonlinear Maxwell’s equations εEt+σ(x, |E|)E = ∇×H+F, Ht+∇×E = 0, where σ(x, s) is a monotone graph of s. It is shown that the system has a unique weak solution. Moreover, the limit of the solution as ε → 0 converges to the solution of quasi-stationary Maxwell’s equations. AMS(MOS) Subject Classifications: 35K20, 35Q20.
متن کاملComparison between Weber ’ s electrodynamics and classical electrodynamics
We present the main aspects of Weber’s electrodynamics and of Maxwell’s equations. We discuss Maxwell’s point of view related to Weber’s electrodynamics. We compare Weber’s force with Lorentz’s force. We analyse the relation between Weber’s law and Maxwell’s equations. Finally, we discuss some experiments performed and proposed with which we can distinguish Weber’s force from Lorentz’s one.
متن کاملDesign and Simulation of a Moving-magnet-type Linear Synchronous Motor for Electromagnetic Launch System
The Electromagnetic Aircraft Launch System (EMALS) offers significant benefits to the aircraft, ship, personnel, and operational capabilities. EMALS has such advantages as high thrust, good controllability, reusable, etc., as a launching motor, a double-side plate Permanent Magnet Linear Synchronous Motor (PMLSM) can provide high instantaneous thrust. This paper presents the design and analysis...
متن کامل