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平面波在变密度分层介质中的反射情况,已有很多著者作过研究,但由于数学上的困难,故一般选用的介质模型,不是计算烦琐就是实际情况有较大出入。本文利用了Ψσ之间有某种数学对称性这一特点,选择了一个比较简单,既富有广泛代表性又便于计算的介质模型,理论分析表明:①在高低频极限情况下,反射系数趋于菲涅尔公式。②密度参数不仅影响反射系数,而且还使折射率有所变化。
Many authors have done research on the reflection of plane waves in densified medium with variable density. However, due to mathematical difficulties, the commonly used medium model is not calculated cumbersomely or has a big discrepancy in reality. In this paper, we take advantage of the characteristic of some kind of mathematical symmetry between Ψσ and select a medium model which is simple and not only extensive but also easy to calculate. The theoretical analysis shows that: (1) Under the high and low frequency limits, the reflection coefficient tends to Fresnel formula. ② Density parameters not only affect the reflection coefficient, but also make the refractive index change.