Transmission Characteristics with Second Order Approximations of Elliptic-Groove Waveguide

Authors: Xu, F.; Mei, Z.; Zhao, K.

Source: International Journal of Infrared and Millimeter Waves, Volume 20, Number 1, January 1999 , pp. 137-148(12)

Publisher: Springer

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Abstract:



In this paper, the transmission characteristics for the dominant mode H ^{(1)}_{e\ 11} in the vertical-flat elliptic-groove guide are analysed by using the mode-matching method and Mathieu function. The characteristic equations with the 1st and 2nd order approximations and their solutions for the dominant mode of the elliptic-groove guide are also obtained by a great quantity of theoretical analyses and numerical computations. The cut-off, dispersion and attenuation characteristics are in good agreement with those in the relevant references under limiting conditions and are discussed in detail. The obtained results are of important significance for theoretical researches and actual applications of elliptic-groove guides for millimeter and submillimeter waves.

Keywords: Mathieu function; elliptic-groove waveguides; millimeter and submillimeter waves; mode-matching method; transmission characteristics

Document Type: Research Article

Affiliations: Department of Electronics and Information Science, Lanzhou University, Lanzhou 730000, The People's Republic of China

Publication date: January 1, 1999

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