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Published August 28, 2018 | Submitted
Journal Article Open

Tunable, synchronized frequency down-conversion in magnetic lattices with defects


We study frequency conversion in nonlinear mechanical lattices, focusing on a chain of magnets as a model system. We show that, by inserting mass defects at suitable locations, we can introduce localized vibrational modes that nonlinearly couple to extended lattice modes. The nonlinear interaction introduces an energy transfer from the high-frequency localized modes to a low-frequency extended mode. This system is capable of autonomously converting energy between highly tunable input and output frequencies, which need not be related by integer harmonic or subharmonic ratios. It is also capable of obtaining energy from multiple sources at different frequencies with a tunable output phase, due to the defect synchronization provided by the extended mode. Our lattice is a purely mechanical analogue of an opto-mechanical system, where the localized modes play the role of the electromagnetic field and the extended mode plays the role of the mechanical degree of freedom.

Additional Information

© 2018 The Author(s). Published by the Royal Society. Accepted: 29 January 2018. One contribution of 14 to a theme issue 'Nonlinear energy transfer in dynamical and acoustical systems'. Data accessibility: This article has no additional data. We declare we have no competing interests. C.D. acknowledges support from the National Science Foundation under EFRI grant no. 1741565.

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