Driven linear modes: Analytical solutions for finite discrete systems

N. Lazarides, G. P. Tsironis

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5 Citations (Scopus)


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


  • Linear driven modes
  • Linear lattices
  • Tridiagonal matrix inversion

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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