Propagation of singularities along characteristics of Maxwell's equations

We give a new proof that electromagnetic waves predict geometry, based on studying the propagation of singularities in first-order derivatives of generalized solutions to Maxwell's equations. As a byproduct, the growth of the intensity of the jumps in across a characteristic hypersurface is sho...

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Published in:Physica scripta 2014-06, Vol.89 (6), p.65203-13
Main Authors: Barletta, Elisabetta, Dragomir, Sorin
Format: Article
Language:English
Subjects:
Byproducts
characteristic hypersurface
Derivatives
Electromagnetic waves
generalized solution
Geometry
Initial value problems
Maxwell's equations
Singularities
Wave propagation
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description We give a new proof that electromagnetic waves predict geometry, based on studying the propagation of singularities in first-order derivatives of generalized solutions to Maxwell's equations. As a byproduct, the growth of the intensity of the jumps in across a characteristic hypersurface is shown to be homogeneous of degree . 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.
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subjects Byproducts
characteristic hypersurface
Derivatives
Electromagnetic waves
generalized solution
Geometry
Initial value problems
Maxwell's equations
Singularities
Wave propagation
title Propagation of singularities along characteristics of Maxwell's equations
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