Maxwell's macroscopic equations, the energy-momentum postulates, and the Lorentz law of force

被引:46
作者
Mansuripur, Masud [1 ]
Zakharian, Armis R. [2 ]
机构
[1] Univ Arizona, Coll Opt Sci, Tucson, AZ 85721 USA
[2] Corning Inc, Div Sci & Technol, Corning, NY 14831 USA
来源
PHYSICAL REVIEW E | 2009年 / 79卷 / 02期
关键词
angular momentum; conservation laws; magnetisation; Maxwell equations; special relativity; RADIATION PRESSURE; LINEAR MOMENTUM; ELECTROMAGNETIC FORCE; LIGHT; TORQUE; WAVE;
D O I
10.1103/PhysRevE.79.026608
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We argue that the classical theory of electromagnetism is based on Maxwell's macroscopic equations, an energy postulate, a momentum postulate, and a generalized form of the Lorentz law of force. These seven postulates constitute the foundation of a complete and consistent theory, thus eliminating the need for actual (i.e., physical) models of polarization P and magnetization M, these being the distinguishing features of Maxwell's macroscopic equations. In the proposed formulation, P(r,t) and M(r,t) are arbitrary functions of space and time, their physical properties being embedded in the seven postulates of the theory. The postulates are self-consistent, comply with the requirements of the special theory of relativity, and satisfy the laws of conservation of energy, linear momentum, and angular momentum. One advantage of the proposed formulation is that it sidesteps the long-standing Abraham-Minkowski controversy surrounding the electromagnetic momentum inside a material medium by simply "assigning" the Abraham momentum density E(r,t)xH(r,t)/c(2) to the electromagnetic field. This well-defined momentum is thus taken to be universal as it does not depend on whether the field is propagating or evanescent, and whether or not the host medium is homogeneous, transparent, isotropic, dispersive, magnetic, linear, etc. In other words, the local and instantaneous momentum density is uniquely and unambiguously specified at each and every point of the material system in terms of the E and H fields residing at that point. Any variation with time of the total electromagnetic momentum of a closed system results in a force exerted on the material media within the system in accordance with the generalized Lorentz law.
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页数:10
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