TY - JOUR

T1 - Driven linear modes

T2 - Analytical solutions for finite discrete systems

AU - Lazarides, N.

AU - Tsironis, G. P.

N1 - Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2010/4/26

Y1 - 2010/4/26

N2 - 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.

AB - 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.

KW - Linear driven modes

KW - Linear lattices

KW - Tridiagonal matrix inversion

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U2 - 10.1016/j.physleta.2010.03.032

DO - 10.1016/j.physleta.2010.03.032

M3 - Article

AN - SCOPUS:77950627956

VL - 374

SP - 2179

EP - 2182

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 21

ER -