布里渊前体形式对初始信号上升时间的依赖性
Dependence of the Brillouin precursor form on the initial signal rise time
摘要：
研究了布里渊前体在洛仑兹色散介质中的传输。前兆信号由正弦调制的初始信号激发，其包络由双曲正切函数描述。本文的目的是显示如何的增长率的初始信号影响的形式的布里渊前体。一致渐近方法，有关合并鞍点，应用在分析中。最后用数值例子说明了结果。
英文摘要：
Propagation of a Brillouin precursor in a Lorentz dispersive medium is considered. The precursor is excited by a sine modulated initial signal, with its envelope described by a hyperbolic tangent function. The purpose of the paper is to show how the rate of growth of the initial signal affects the form of the Brillouin precursor. Uniform asymptotic approach, pertinent to coalescing saddle points, is applied in the analysis. The results are illustrated with numerical examples.
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。
