On the unlimited gain of a nonlinear parametric amplifier

Vladislav Sorokin

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

The present paper is concerned with analysis of the response of a nonlinear parametric amplifier in abroad range of system parameters, particularly beyond resonance. Such analysis is of particular interestfor micro- and nanosystems, since many small-scale parametric amplifiers exhibit a distinctly nonlinearbehavior when amplitude of their response is sufficiently large. The modified method of direct separa-tion of motions is employed to study the considered system. As the result it is obtained that steady-stateamplitude of the nonlinear parametric amplifier response can reach large values in the case of arbitrarilysmall amplitude of external excitation, so that the amplifier gain tends to infinity. Very large amplifiergain can be achieved in a broad range of system parameters, in particular when the amplitude of para-metric excitation is comparatively small. The obtained results clearly demonstrate that very meaningfulparametric amplification can be realized in resonant systems driven within a nonlinear response regime,and that nonlinear parametric amplifier possesses certain advantages over linear one.© 2014 Elsevier Ltd. All rights reserved
Original languageEnglish
JournalMechanics Research Communications
Volume62
Pages (from-to)111–116
ISSN0093-6413
DOIs
Publication statusPublished - 2014

Keywords

  • Nonlinear parametric amplifier
  • Gain
  • Micro- and nanosystems
  • Response

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