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• W2963838550 abstract "We present a discrete model of resonant scattering of waves by an open periodic waveguide. The model elucidates a phenomenon common in electromagnetics, in which the interaction of plane waves with embedded guided modes of the waveguide causes sharp transmission anomalies and field amplification. The ambient space is modeled by a planar lattice and the waveguide by a linear periodic lattice coupled to the planar one along a line. We show the existence of standing and traveling guided modes and analyze a tangent bifurcation, in which resonance is initiated at a critical coupling strength where a guided mode appears, beginning with a single standing wave and splitting into a pair of waves traveling in opposing directions.Complex perturbation analysis of the scattering problem in the complex frequency and wavenumber domain reveals the complex structure of the transmission coefficient at resonance." @default.
• W2963838550 created "2019-07-30" @default.
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• W2963838550 date "2012-01-01" @default.
• W2963838550 modified "2023-10-18" @default.
• W2963838550 title "A lattice model for resonance in open periodic waveguides" @default.
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• W2963838550 doi "https://doi.org/10.3934/dcdss.2012.5.989" @default.
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