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Applying the method of lines and discrete mode‐matching method to non‐planar structures
Author(s) -
Mesa Francisco,
Marqués Ricardo,
Medina Francisco
Publication year - 2003
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.10830
Subject(s) - planar , separable space , matching (statistics) , homogeneity (statistics) , microwave , mode (computer interface) , computer science , algorithm , engineering , structural engineering , topology (electrical circuits) , mathematics , mathematical analysis , telecommunications , electrical engineering , computer graphics (images) , statistics , machine learning , operating system
The method of lines (MoL) and discrete mode‐matching (DMM) method were originally applied to problems with separable boundaries and lateral homogeneity (for instance, layered planar structures). Since then, these methods have been directly applied to structures with non‐separable boundaries and/or lateral inhomogeneity. Although these extensions can be justified in certain approximate cases, there has not been sufficient discussion on its mathematical foundation. This paper discusses the above extensions and shows that the direct application of these methods to general problems may lead to inaccurate and even incongruous results. © 2003 Wiley Periodicals, Inc. Microwave Opt Technol Lett 37: 79–83, 2003; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.10830