南京大学学报(自然科学版) ›› 2015, Vol. 51 ›› Issue (6): 12101216.
杨春梅1*,骆文于2,乔方利1,吕连港1
Yang Chunmei1*, Luo Wenyu2, Qiao Fangli1, Lyu Liangang1
摘要: 研究可穿透楔形波导中的三维声传播问题,旨在求得该问题的三维标准解析解,可用于检验三维数值模型的计算精度.应用虚源法获得楔形海域海水以及海底中的三维声场解析解:对于海水中的声场,计算时只需考虑声波的反射问题;而对于海底中的声场,计算时不仅需要考虑声波的反射问题,还需要考虑声波的折射问题.鉴于球面波在两种介质分界平面上反射和折射机理的复杂性,将单个虚源辐射的球面波分解为一系列平面波,进而应用平面波的反射和折射原理得到整个海域中的声场解析解.该解析解适用于整个海域,包括海水和海底.最后,通过一个楔形波导标准问题验证了该解析解的正确性.
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