关于模式匹配法相对收敛性问题的研究
RELATIVE CONVERGENCE PROBLEM IN MODE MATCHING METHOD
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摘要: 本文论证了模式匹配法相对收敛性问题是由于没有取本征模完备正交集中连续的前N项所致。为了解决这一问题,本文提出首先对本征模完备集进行排序,然后进行模式匹配。数值例子计算结果表明,这种先排序的模式匹配法不但很好地解决了相对收敛性问题?而且加快了收敛速度,在本征模个数相同的情况下,能有效地提高解的精度。将这种方法应用于波导接头不连续性问题的分析,结果表明,这种方法具有稳定、精度高和收敛快等优点。
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关键词:
- 电磁场; 排序; 模式匹配; 相对收敛性
Abstract: The relative convergence problem arouse in model matching method is discussed and a mode sorting technique is presented to solve this problem. Numerical examples demonstrated that this sorted mode matching method can not only solve the relative convergence problem, but also accelereate the convergence rate and has better accuracy than conventional mode matching method. Numerical results of the waveguide junction discontinuity using this method indicated that this method takes the advantages of stable, accurate and fast convergence. -
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