The Principle of a Chopped Series Equilibrium to Determine the Expansion Coefficients in the Inhomogeneous Waves Decomposition of a Bounded Beam
Up until now, the technique of expanding a bounded beam into inhomogeneous plane waves sometimes suffered from insurmountable numerical problems. Avoidance of these troubles was possible solely by throwing the expansion overboard and producing a new one with different parameters such as the spatial interval upon which optimization had to be performed, or the inhomogeneity interval that had to be taken under consideration. The latter often resulted in imperfect descriptions of critical phenomena such as beam displacement, for which inhomogeneous waves have proved again and again to be very well suited. Here, we introduce an ameliorated technique that determines the expansion coefficients by means of a chopped series representation of the inhomogeneous waves. We show that, if the series has an optimized length, the so found coefficients, which we attribute to the exact inhomogeneous waves in the expansion, are more accurate.
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Document Type: Research Article
Publication date: November 1, 2003
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- Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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