Abstract
A waveguide with a rectangular cross section of size and orientation slowly changing along the length of the waveguide is considered. Methods of the canonical perturbation theory are used to describe the ray dynamics in the waveguide. As the size and orientation of the cross section slowly change along the ray trajectory, certain resonance conditions may be satisfied. The phenomena of scattering on resonance and capture into resonance is studied. These phenomena lead to destruction of the adiabatic invariance in the system. Bibliography: 12 titles.
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Published in Zapiski Nauchnykh Seminarov POMI, Vol. 300, 2003, pp. 173–179
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Itin, A.P., Neishtadt, A.I. & Vasiliev, A.A. Resonant Phenomena in Slowly Irregular Rectangular Waveguides. J Math Sci 128, 2778–2781 (2005). https://doi.org/10.1007/s10958-005-0230-z
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DOI: https://doi.org/10.1007/s10958-005-0230-z