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An improved formula for the fundamental TM‐mode cutoff wavenumber of arbitrary waveguides
Author(s) -
Zhou Xingling
Publication year - 2002
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.10617
Subject(s) - wavenumber , cutoff , isoperimetric inequality , waveguide , mode (computer interface) , microwave , cutoff frequency , mathematics , optics , mathematical analysis , physics , computer science , quantum mechanics , operating system
This paper presents an improved formula for the fundamental TM‐mode cutoff wavenumber of an arbitrary waveguide based on two independent isoperimetric inequalities and the introduction of a new global integral geometry quantity p . A lot of classic examples show its accuracy and validity for computer‐aided design (CAD). The maximum relative error is less than 1% in most cases and less than 2% even for extreme cases. Note that the mathematical techniques employed here are elementary. Some basic observations about the method are discussed. © 2002 Wiley Periodicals, Inc. Microwave Opt Technol Lett 35: 393–396, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.10617
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