title: Supertransmission channel for an intrinsic localized mode in a one-dimensional nonlinear physical lattice.
abstract: It is well known that a moving intrinsic localized mode (ILM) in a nonlinear physical lattice looses energy because of the resonance between it and the underlying small amplitude plane wave spectrum. By exploring the Fourier transform (FT) properties of the nonlinear force of a running ILM in a driven and damped 1D nonlinear lattice, as described by a 2D wavenumber and frequency map, we quantify the magnitude of the resonance where the small amplitude normal mode dispersion curve and the FT amplitude components of the ILM intersect. We show that for a traveling ILM characterized by a specific frequency and wavenumber, either inside or outside the plane wave spectrum, and for situations where both onsite and intersite nonlinearity occur, either of the hard or soft type, the strength of this resonance depends on the specific mix of the two nonlinearities. Examples are presented demonstrating that by engineering this mix the resonance can be greatly reduced. The end result is a supertransmission channel for either a driven or undriven ILM in a nonintegrable, nonlinear yet physical lattice.
authors.affiliation: Graduate School of Natural Science and Technology, Kanazawa University, Kanazawa, Ishikawa 920-1192, Japan.
authors.forename: M
authors.initials: M
authors.lastname: Sato
authors.affiliation: Graduate School of Natural Science and Technology, Kanazawa University, Kanazawa, Ishikawa 920-1192, Japan.
authors.forename: T
authors.initials: T
authors.lastname: Nakaguchi
authors.affiliation: Graduate School of Natural Science and Technology, Kanazawa University, Kanazawa, Ishikawa 920-1192, Japan.
authors.forename: T
authors.initials: T
authors.lastname: Ishikawa
authors.affiliation: Graduate School of Natural Science and Technology, Kanazawa University, Kanazawa, Ishikawa 920-1192, Japan.
authors.forename: S
authors.initials: S
authors.lastname: Shige
authors.affiliation: Graduate School of Natural Science and Technology, Kanazawa University, Kanazawa, Ishikawa 920-1192, Japan.
authors.forename: Y
authors.initials: Y
authors.lastname: Soga
authors.affiliation: Graduate School of Engineering, Osaka University, Suita, Osaka 565-0871, Japan.
authors.forename: Y
authors.initials: Y
authors.lastname: Doi
authors.affiliation: Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853-2501, USA.
authors.forename: A J
authors.initials: AJ
authors.lastname: Sievers