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arXiv quant-ph/0409003quant-ph
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脉冲在非线性色散介质中传播的因果性

Causality in Propagation of a Pulse in a Nonlinear Dispersive Medium

G. S. Agarwal, Tarak Nath Dey

摘要:

我们调查的因果传播的脉冲通过色散介质的耦合麦克斯韦-布洛赫方程组的非常精确的数值解没有任何近似的输入场的强度。研究了脉冲在红宝石和紫翠宝石等固体介质中的全非线性传输特性。我们已经证明,不连续性所携带的信息,{ \it即},脉冲的前面,在介质内的速度$c$,即使脉冲的峰值可以以亚光速或超光速传播。我们推广了Levi-Civita的论证,证明了即使在非线性介质中,不连续也会以速度$c$传播.

英文摘要:

We investigate the causal propagation of the pulse through dispersive media by very precise numerical solution of the coupled Maxwell-Bloch equations without any approximations about the strength of the input field. We study full nonlinear behavior of the pulse propagation through solid state media like ruby and alexandrite. We have demonstrated that the information carried by the discontinuity, {\it i.e}, front of the pulse, moves inside the media with velocity $c$ even though the peak of the pulse can travel either with sub-luminal or with super-luminal velocity. We extend the argument of Levi-Civita to prove that the discontinuity would travel with velocity $c$ even in a nonlinear medium.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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