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Equivalent Representation of Mode Coupling in Two-Dimensional Bulk Waves Using Unitary Matrix with 4 ×4 Elements

Mode coupling in two-dimensional bulk waves confined in a two-dimensional rectangular resonator is discussed using a 4 ×4 unitary matrix and Neumann series; this differs from the conventional methods which involve a coupling between N resonance systems solved as an eigenvalue problem of an N × N mat...

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Bibliographic Details
Published in:Japanese Journal of Applied Physics 2001, Vol.40 (5S), p.3505
Main Authors: Michio Ohki, Michio Ohki, Kohji Toda, Kohji Toda
Format: Article
Language:English
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Summary:Mode coupling in two-dimensional bulk waves confined in a two-dimensional rectangular resonator is discussed using a 4 ×4 unitary matrix and Neumann series; this differs from the conventional methods which involve a coupling between N resonance systems solved as an eigenvalue problem of an N × N matrix, which becomes complicated when the loss phenomenon is included or when the value of N increases. The coupling is dealt with by considering the energy distribution between the two modes with unitarity or energy conservation. The 4 ×4 unitary matrix is adopted to distinguish between self-coupling and mutual coupling, and the confinement of wave energy due to the multiple reflection is represented by the Neumann series. Simple and unified matrix algebra gives the resonance characteristics when the mode coupling occurs in an infinite number of degrees of freedom.
ISSN:0021-4922
1347-4065
DOI:10.1143/JJAP.40.3505