關(guān)于模式匹配法相對收斂性問題的研究
RELATIVE CONVERGENCE PROBLEM IN MODE MATCHING METHOD
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摘要: 本文論證了模式匹配法相對收斂性問題是由于沒有取本征模完備正交集中連續(xù)的前N項所致。為了解決這一問題,本文提出首先對本征模完備集進行排序,然后進行模式匹配。數(shù)值例子計算結(jié)果表明,這種先排序的模式匹配法不但很好地解決了相對收斂性問題?而且加快了收斂速度,在本征模個數(shù)相同的情況下,能有效地提高解的精度。將這種方法應(yīng)用于波導(dǎo)接頭不連續(xù)性問題的分析,結(jié)果表明,這種方法具有穩(wěn)定、精度高和收斂快等優(yōu)點。
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關(guān)鍵詞:
- 電磁場; 排序; 模式匹配; 相對收斂性
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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