2005/07/14 by Andrey A. Sukhorukov · 2 citations
Computer Science · Physics and Astronomy · #Advanced Fiber Laser Technologies #Aperiodic graph #Condensed matter physics #Lattice (music) #Modulation (music) #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #Nonlinear system #Photonic crystal #Physics #Quantum electrodynamics #Quantum mechanics #Quasiperiodic function #Scattering #Soliton #Trapping #nlin.PS #physics.optics
paper · pdf · doi:10.1103/physrevlett.96.113902
published as Phys. Rev. Lett. 96, 113902 (2006). · 4 pages, 4 figures
arxiv created 2005/07/14 · openalex publication_date 2006/03/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study linear transmission and nonlinear soliton transport through quasiperiodic structures, where the lattice profiles are described by multiple modulation frequencies. We show that resonant scattering at mixed-frequency resonances limits transmission efficiency of localized wave packets, leading to radiation and possible trapping of solitons. We obtain an explicit analytical expression for optimal quasiperiodic lattice profiles, where additional aperiodic modulations suppress mixed-frequency resonances, resulting in dramatic enhancement of soliton mobility. Our results can be applied to the design of photonic waveguide structures, and arrays of magnetic micro-traps for atomic Bose-Einstein condensates.