All-phononic Amplification in Coupled Cantilever Arrays based on Gap Soliton Dynamics

Abstract

We present a mechanism of amplification of phonons by phonons on the basis of nonlinear band-gap transmission phenomenon. As a concept the idea may be applied to the various number of systems, however we introduce the specific idea of creating amplification scenario in the chain of coupled cantilever arrays. One chain is driven at the constant frequency located in the upper band of the ladder system, thus no wave enters the system. However the frequency is specifically chosen to be very close to the maximum value of frequency corresponding to dispersion relation of the system. Amplification scenario happens when a counter phase pulse of same frequency with a small amplitude is introduced to the second chain. If both signals exceed a threshold amplitude for the band-gap transmission a large amplitude soliton enters the system - therefore we have an amplifier. Although the concept may be applied in a variety of contexts - all optical or all-magnonic systems, we choose the system of coupled cantilever arrays and represent a clear example of the application of presented conceptual idea. Logical operations is the other probable field, where such mechanism could be used, which might significantly broaden the horizon of considered applications of band-gap soliton dynamics.

arXiv commentarXiv admin note: substantial text overlap with arXiv:1509.00679

References in corpus (13)

• Discrete Breathers
• Heat conduction in one dimensional chains
• Energy transmission in the forbidden bandgap of a nonlinear chain
• Nonlinear supratransmission and bistability in the Fermi-Pasta-Ulam model
• Nonlinear Band Gap Transmission in Optical Waveguide Arrays
• Optical manipulation of intrinsic localized vibrational energy in cantilever arrays
• Discrete breathers in Fermi-Pasta-Ulam lattices
• Compactlike discrete breathers in systems with nonlinear and nonlocal dispersive terms
• Weak and strong chaos in FPU models and beyond
• Driven localized excitations in the acoustic spectrum of small nonlinear macroscopic and microscopic lattices
• All-phononic Digital Transistor on the Basis of Gap-Soliton Dynamics in Anharmonic Oscillator Ladder
• Inductive intrinsic localized modes in a 1D nonlinear electric transmission line
• Dynamics of impurity attraction and repulsion of an intrinsic localized mode in a driven 1-D cantilever array