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
Driven linear modes : Analytical solutions for finite discrete systems. / Lazarides, N.; Tsironis, G. P.
In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 374, No. 21, 26.04.2010, p. 2179-2182.Research output: Contribution to journal › Article
}
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 -