洛仑兹介质中的索末菲前兆
On Sommerfeld precursor in a Lorentz medium
摘要：
本文考虑了色散洛仑兹介质中由有限上升时间信号激发引起的索末菲先驱演化的一维电磁问题。的初始信号增长率，以及对前驱体的形状和大小的介质倾倒的效果进行了讨论。所应用的分析是基于采用统一的渐近展开的方法。此外，对影响本振频率和前体倾倒的远鞍点位置给出了新的近似公式。所得结果进行了数值说明，并与文献中已知的结果进行了比较。
英文摘要：
A one-dimensional electromagnetic problem of Sommerfeld precursor evolution, resulting from a finite rise-time signal excitation in a dispersive Lorentz medium is considered. The effect of the initial signal rate of growth as well as of the medium dumping on the precursor shape and its magnitude is discussed. The analysis applied is based on an approach employing uniform asymptotic expansions. In addition, new approximate formulas are given for the location of the distant saddle points which affect local frequency and dumping of the precursor. The results obtained are illustrated numerically and compared with the results known from the literature.
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