任意色散波包时空演化的近似解析解
Approximate Analytic Solution for the Spatiotemporal Evolution of Wave Packets undergoing Arbitrary Dispersion
摘要：
我们应用展开法得到色散介质中波包的空间和时间依赖性的初等函数近似表达式。具体的应用程序中的冷等离子体脉冲被认为是详细的，并提供了明确的解析公式，结果。当满足某些一般初始条件时，这些表达式很好地描述了包的演化。最后，我们采用的方法表现出在冷等离子体中的色散脉冲传播方面，并建议如何预测和实验效果可以比较，以提高介质的色散特性的理论描述。
英文摘要：
We apply expansion methods to obtain an approximate expression in terms of elementary functions for the space and time dependence of wave packets in a dispersive medium. The specific application to pulses in a cold plasma is considered in detail, and the explicit analytic formula that results is provided. When certain general initial conditions are satisfied, these expressions describe the packet evolution quite well. We conclude by employing the method to exhibit aspects of dispersive pulse propagation in a cold plasma, and suggest how predicted and experimental effects may be compared to improve the theoretical description of a medium's dispersive properties.
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