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中文核心期刊

抛物方程远场近似条件分析

On far-field approximation of parabolic equation

  • 摘要: 研究了抛物方程(PE)远场近似条件及起始场的计算,得到了容许误差和最小参考距离之间的关系。结果表明在最小参考距离以内,PE远场近似条件会通过PE传播算子的传递而引起较大的计算误差,因此,PE传播算子不能用于自起始场的计算。在此基础上,给出了没有远场近似条件限制的传播算子,该算子可以将起始场和远场计算统一起来,便于数值实现。对Pekeris波导的声传播问题(JASA标准PE测试问题)的数值计算结果表明,利用该算子可以精确地计算出PE自起始场和传播损失曲线。

     

    Abstract: The far-field approximation of Parabolic Equation (PE) and the numerical calculation of PE starter are studied.The relationship between the allowable error and the minimum reference range is analyzed and it is pointed out that within the minimum reference range the far-field approximation will cause considerable calculation error through the PE propagator,and so which can not be used to calculate PE self-starter,A new propagator,which has no far-field limitation and can be unitedly used for PE self-starter and far field calculation is derived.The numerical result in the Pekeris channel shows that the propagator is quite accurate for calculation of PE self-starter and transmission loss.

     

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