Driven linear modes: Analytical solutions for finite discrete systems
arXiv:1002.4328 · doi:10.1016/j.physleta.2010.03.032
Abstract
We have obtained exact analytical expressions in closed form, for the linear modes excited in finite and discrete systems that are driven by a spatially homogeneous alternating field. Those modes are extended for frequencies within the linear frequency band while they are either end-localized or end-avoided for frequencies outside the linear frequency band. The analytical solutions are resonant at particular frequencies, which compose the frequency dispersion relation of the finite system.
4 pages, 3 figures, submitted to Phys. Rev. E
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