Electromagnetic fields in fractal continua

被引：65
作者：
Balankin, Alexander S. [1 ]
Mena, Baltasar [2 ]
Patino, Julian [1 ]
Morales, Daniel [3 ]
机构：
[1] Inst Politecn Nacl, Grp Mecan Fractal, Mexico City 07738, DF, Mexico
[2] Univ Nacl Autonoma Mexico, Inst Ingn, Mexico City 04510, DF, Mexico
[3] Inst Mexicano Petr, Mexico City 07730, DF, Mexico
来源：
PHYSICS LETTERS A | 2013年 / 377卷 / 10-11期
关键词：
Fractal media; Fractional metric; Electrodynamics; CONTINUOUS MEDIUM MODEL; WAVE-EQUATION; TIME; TRANSMISSION; CALCULUS;
D O I：
10.1016/j.physleta.2013.01.030
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Fractal continuum electrodynamics is developed on the basis of a model of three-dimensional continuum Phi(3)(D) subset of E-3 with a fractal metric. The generalized forms of Maxwell equations are derived employing the local fractional vector calculus related to the Hausdorff derivative. The difference between the fractal continuum electrodynamics based on the fractal metric of continua with Euclidean topology and the electrodynamics in fractional space F-alpha accounting the fractal topology of continuum with the Euclidean metric is outlined. Some electromagnetic phenomena in fractal media associated with their fractal time and space metrics are discussed. (C) 2013 Elsevier B.V. All rights reserved.
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收藏
页码：783 / 788
页数：6
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