Propagation of singularities along characteristics of Maxwell's equations

被引：2

作者：

Barletta, Elisabetta ^{[1
]}

Dragomir, Sorin ^{[1
]}

机构：

[1] Univ Basilicata, Dipartimento Matemat Informat & Econ, I-85100 Potenza, Italy

来源：

PHYSICA SCRIPTA | 2014年 / 89卷 / 06期

关键词：

Maxwell's equations; generalized solution; characteristic hypersurface;

D O I：

10.1088/0031-8949/89/6/065203

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We give a new proof that electromagnetic waves predict geometry, based on studying the propagation of singularities in first-order derivatives of generalized solutions (E, H) to Maxwell's equations. As a byproduct, the growth of the intensity of the jumps in (partial derivative E/partial derivative t, partial derivative H/partial derivative t) across a characteristic hypersurface is shown to be homogeneous of degree -1. We determine generalized solutions (whose first-order derivatives have jumps across a fixed characteristic line) to the initial value problem for Maxwell's equations in one space variable.

引用

页数：13