TY - JOUR
T1 - Instabilities and quasi-localized states in nonlinear Fano-like systems
AU - Miroshnichenko, Andrey E.
PY - 2009/9/21
Y1 - 2009/9/21
N2 - We study the dynamical scattering in one-dimensional systems with a nonlinear side-coupled defect. Such structures exhibit the nonlinear Fano resonances, where nothing can propagate through. We developed a numerical model to study dynamical scattering. According to our analysis the scattering waves become dynamically unstable in the vicinity of the nonlinear Fano resonances, due to modulational instability caused by the presence of nonlinearity. It results in a time-growing amplitude of the nonlinear defect. We also demonstrate the existence of the nonlinear quasi-localized state, supported by such structures.
AB - We study the dynamical scattering in one-dimensional systems with a nonlinear side-coupled defect. Such structures exhibit the nonlinear Fano resonances, where nothing can propagate through. We developed a numerical model to study dynamical scattering. According to our analysis the scattering waves become dynamically unstable in the vicinity of the nonlinear Fano resonances, due to modulational instability caused by the presence of nonlinearity. It results in a time-growing amplitude of the nonlinear defect. We also demonstrate the existence of the nonlinear quasi-localized state, supported by such structures.
KW - Fano resonance
KW - Modulational instability
KW - Quasi-localized states
UR - http://www.scopus.com/inward/record.url?scp=69049083285&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2009.02.079
DO - 10.1016/j.physleta.2009.02.079
M3 - Article
SN - 0375-9601
VL - 373
SP - 3586
EP - 3590
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 39
ER -