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Wave motion in infinite inhomogeneous waveguides
Igor Špacapan, Miroslav Premrov, 2003, original scientific article

Abstract: The analysis of wave motion in infinite homogeneous waveguides, having a complicated cross-section and/or an irregular inclusion, is a rather difficult task for the majority of available methods, especially when striving for accurate results. In contrast, this presented procedure performed in the frequency domain, is simple to apply. It yields correct results because the radiation conditions are considerably accurately satisfied, and it offers a clear parametric insight into wave motion. This procedure uses the FE modelling of an analysed section of the waveguide. It is based on the decomposition of wave motion, distinguishing propagating and non-propagating wavemodes by solving the eigenvalue problem. The presented examples demonstrate the effectiveness of this procedure, whilst a comparison between computed and analytical results demonstrates its accuracy.
Keywords: waves, wavemodes, waveguides, inhomogeneity, finite element method, parametric analysis, radiation conditions, eigenvalue problem, frequency domain
Published: 01.06.2012; Views: 878; Downloads: 32
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The mass spectrum of high energy elementary particles via El Naschie's [epsilon][sup]([infinity]) golden mean nested oscillators, the Dunkerly-Southwell eigenvalue theorems and KAM
Leila Marek-Crnjac, 2003, original scientific article

Abstract: Predstavimo klasični mehanični model in ustrezne izrazitve teoretičnih mas elementarnih delcev, pri čemer so tudi vsebovane mase kvarkov, ki so povezane z lastnimi vrednostmi kombiniranih nihajočih množic. Tukaj uporabimo Southwellov in Dunkerlyev izrek. Zlati rez ima posebno vlogo v KAM-ovi teoriji, obravnavan je pa tudi naš model.
Keywords: KAM-ova teorija, Dunkerly-Southwellovi izreki o latnih vrednostih, zlati rez, matematika, KAM theory, Dunkerly-Southwell eigenvalue theorems, golden mean
Published: 10.07.2015; Views: 322; Downloads: 14
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