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arXiv physics/0611216physics.optics
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定向脉冲传播理论:详细计算

Theory of directional pulse propagation: detailed calculations

P. Kinsler

摘要:

我构造了组合的电场和磁场变量,它们分别独立地表示向前和向后方向的能量流,并使用这些来重新制定麦克斯韦方程组。重点是详细的计算,更一般的概述发表在物理修订版A72和arXiv。这些方向变量使我们不仅能够判断向后传播的场分量的影响和意义,而且还可以在适当的时候丢弃它们。因此,它们有可能简化数值模拟,从而使速度比标准FDTD或PSSD模拟提高高达100%。这些场变量也被用来推导出窄带脉冲传播的包络方程和二阶波动方程。还提出了替代定义,以及它们相关的波动方程。

英文摘要:

I construct combined electric and magnetic field variables which independently represent energy flows in the forward and backward directions respectively, and use these to re-formulate Maxwell's equations. The emphasis is on detailed calculations, with a more general overview being published in Phys. Rev. A72 and arXiv. These directional variables enable us to not only judge the effect and significance of backward-travelling field components, but also to discard them when appropriate. They thereby have the potential to simplify numerical simulations, leading to potential speed gains of up to 100% over standard FDTD or PSSD simulations. These field variables are also used to derive both envelope equations useful for narrow-band pulse propagation, and a second order wave equation. Alternative definitions are also presented, along with their associated wave equations.

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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