Finite energy superluminal solutions of Maxwell equations
نویسندگان
چکیده
منابع مشابه
Finite Energy Superluminal Solutions of Maxwell Equations
We exhibit exact finite energy superluminal solutions of Maxwell equations in vacuum. e-mail: [email protected] e-mail: [email protected] or [email protected] 1 Recently, some papers [1,2] appeared in the literature showing that in some hypotetical media there is the possibility for the existence of superluminal electromagnetic pulses (solutions of Maxwell equations) such their fronts tr...
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In a previous paper we have shown localized (nonevanescent) solutions to Maxwell equations to exist, which propagate without distortion with superluminal speed along normal-sized waveguides, and consist in trains of "X-shaped" beams. Those solutions possessed infinite energy. In this paper we show how to obtain, by contrast, finite-energy solutions, with the same localization and superluminalit...
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In a previous paper we have shown localized (non-evanescent) solutions to Maxwell equations to exist, which propagate without distortion with Superluminal speed along normal-sized waveguides, and consist in trains of “X-shaped” beams. Those solutions possessed therefore infinite energy. In this note we show how to obtain, by contrast, finite-energy solutions, with the same localization and Supe...
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In this article we study the existence of infinitely many large energy solutions for the superlinear Schrödinger-Maxwell equations −∆u+ V (x)u+ φu = f(x, u) in R, −∆φ = u, in R, via the Fountain Theorem in critical point theory. In particular, we do not use the classical Ambrosetti-Rabinowitz condition.
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– In this paper we extend for the case of Maxwell equations the " X-shaped " solutions previously found in the case of scalar (e.g., acoustic) wave equations. Such solutions are localized in theory: i.e., diffraction-free and particle-like (wavelets), in that they maintain their shape as they propagate. In the electromagnetic case they are particularly interesting, since they are expected to be...
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ژورنال
عنوان ژورنال: Physics Letters A
سال: 2001
ISSN: 0375-9601
DOI: 10.1016/s0375-9601(01)00748-4