Driven linear modes: Analytical solutions for finite discrete systems

N. Lazarides, G. P. Tsironis

    Research output: Contribution to journalArticlepeer-review

    5 Scopus citations


    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.

    Original languageBritish English
    Pages (from-to)2179-2182
    Number of pages4
    JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
    Issue number21
    StatePublished - 26 Apr 2010


    • Linear driven modes
    • Linear lattices
    • Tridiagonal matrix inversion


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