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

University of Crete

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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	British 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
State	Published - 26 Apr 2010

Keywords

Linear driven modes
Linear lattices
Tridiagonal matrix inversion

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10.1016/j.physleta.2010.03.032

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title = "Driven linear modes: Analytical solutions for finite discrete systems",

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.",

keywords = "Linear driven modes, Linear lattices, Tridiagonal matrix inversion",

author = "N. Lazarides and Tsironis, \{G. P.\}",

year = "2010",

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doi = "10.1016/j.physleta.2010.03.032",

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journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

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T1 - Driven linear modes

T2 - Analytical solutions for finite discrete systems

AU - Lazarides, N.

AU - Tsironis, G. P.

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

UR - https://www.scopus.com/pages/publications/77950627956

U2 - 10.1016/j.physleta.2010.03.032

DO - 10.1016/j.physleta.2010.03.032

M3 - Article

AN - SCOPUS:77950627956

SN - 0375-9601

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

IS - 21

ER -

Driven linear modes: Analytical solutions for finite discrete systems

Abstract

Keywords

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