All-phononic amplification in coupled cantilever arrays based on gap soliton dynamics

摘要

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