### 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 | |

Publication status | Published - Apr 26 2010 |

Externally published | Yes |

### Keywords

- Linear driven modes
- Linear lattices
- Tridiagonal matrix inversion

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Physics Letters, Section A: General, Atomic and Solid State Physics*,

*374*(21), 2179-2182. https://doi.org/10.1016/j.physleta.2010.03.032

**Driven linear modes : Analytical solutions for finite discrete systems.** / Lazarides, N.; Tsironis, G. P.

Research output: Contribution to journal › Article

*Physics Letters, Section A: General, Atomic and Solid State Physics*, vol. 374, no. 21, pp. 2179-2182. https://doi.org/10.1016/j.physleta.2010.03.032

}

TY - JOUR

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 - http://www.scopus.com/inward/record.url?scp=77950627956&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77950627956&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2010.03.032

DO - 10.1016/j.physleta.2010.03.032

M3 - Article

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 -