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 -