Sukhorukov, Andrey2009-09-102010-12-202009-09-102010-12-20Physical Review Letters 96.11 (2006): 113902/1-40031-90071079-7114http://hdl.handle.net/10440/831http://digitalcollections.anu.edu.au/handle/10440/831We 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.4 pageshttp://www.sherpa.ac.uk/romeo/index.php "Author can archive pre-print (ie pre-refereeing) … post-print (ie final draft post-refereeing) … [and] publisher's version/PDF. Link to publisher version … [and] Copyright notice required. Publisher's version/PDF can be used on … employers web site." - from SHERPA/RoMEO site (as at 25/02/10). ©2006 The American Physical SocietyKeywords: Aperiodicity; Bose-Einstein condensates; Enhanced soliton transport; Modulation frequencies; Quasiperiodic lattices; Resonant scattering; Carrier mobility; Crystal lattices; Photonic propulsion; Quasicrystals; Radiation; Resonance; Scattering; Waveguides;2006-03-2310.1103/PhysRevLett.96.1139022015-12-12