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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。
This paper argues that the relative convergence of the pattern matching method is due to the fact that the eigenmodes are not perfect and orthonormally concentrated. In order to solve this problem, this paper proposes to sort the complete set of eigenmodes first and then to pattern matching. The numerical example shows that the first ordered pattern matching method not only solves the problem of relative convergence but also accelerates the convergence speed. Under the condition of the same number of eigenmodes, it can effectively improve the accuracy of the solution. This method is applied to the analysis of waveguide joint discontinuities. The results show that this method has the advantages of stability, high precision and fast convergence.