Driven linear modes: Analytical solutions for finite discrete systems

N. Lazarides; G. P. Tsironis

doi:10.1016/j.physleta.2010.03.032

Driven linear modes: Analytical solutions for finite discrete systems

N. Lazarides, G. P. Tsironis

Department of Physics

Research output: Contribution to journal › Article

5 Citations (Scopus)

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.

Original language	English
Pages (from-to)	2179-2182
Number of pages	4
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	374
Issue number	21
DOIs	https://doi.org/10.1016/j.physleta.2010.03.032
Publication status	Published - Apr 26 2010

Keywords

Linear driven modes
Linear lattices
Tridiagonal matrix inversion

ASJC Scopus subject areas

Physics and Astronomy(all)

Cite this

Lazarides, N., & Tsironis, G. P. (2010). Driven linear modes: Analytical solutions for finite discrete systems. Physics Letters, Section A: General, Atomic and Solid State Physics, 374(21), 2179-2182. https://doi.org/10.1016/j.physleta.2010.03.032

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Access to Document

10.1016/j.physleta.2010.03.032