electromagnetic momentum density

Jim enez 2 and M.A. Introduction T electric and magnetic fi fi their physical meaning through the force ff they have on a unit electric charge and curren. Configuration used to show the existence of electromagnetic momentum density g.A thin solenoid with the small circular cross-sectional area Ais centred along the z-axis, and a parallel line charge λ is at x = R, y = 0. Many static configurations involving electrical currents and charges possess angular momentum in electromagnetic form; two examples are discussed here, an electric charge in the field of a magnetic dipole, and an electric charge in the vicinity of a long solenoid. of the electromagnetic field . Electromagnetic force density and energy-momentum tensor in an arbitrary continuous medium2 1. The electromagnetic angular momentum of quasistatic systems has been discussed in different examples in well known textbooks [1, 2], as well as in a number of articles [3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18]. Radiation pressure and the linear momentum . L opez-Marino~3 1Departamento de F sica, Facultad de Ciencias, Universidad Nacional Aut onoma de M exico, M exico D.F., M exico. When the magnetic field in the solenoid is changed, an electric This force density will govern the motion of the medium and its parts, and lead to deformation and compression of the medium. former one represent the dynamical rotation of electric (or magnetic) field of around propagation direction and indicate the polarization of beam. To understand the direction of the force for a very specific case, consider a plane electromagnetic wave incident on a metal in which electron motion, as part of a current, is damped by the resistance of the metal, so that the average electron motion is in phase with the force causing it. This force occurs because electromagnetic waves contain and transport momentum. Optical Sciences Center, The University of Arizona, Tucson, Arizona 85721 masud@u.arizona.edu [Published in Optics Express, Vol. Introducing electromagnetic field momentum 875 Figure 1. Electromagnetic momentum balance equation and the force density in material media (Equa˘c~ao de balan˘co do momento eletromagn etico e densidade de for˘ca em meios materiais) I. Campos1, J.L. Masud Mansuripur . The momentum transported by electromagnetic radiation; its volume density equals the Poynting vector divided by the square of the speed of light. Electromagnetic field of light has two kind of angular momentum first spin angular momentum (SAM) and secondly orbital angular momentum (OAM). Equations , and (or alternatively and ) can be used to calculate the force density imposed by an electromagnetic field on an arbitrary medium that can be described by the macroscopic Maxwell equations.

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