6533b7dcfe1ef96bd12721c6

RESEARCH PRODUCT

Experimental observation of the generation of cutoff solitons in a discreteLCnonlinear electrical line

P. Tchofo DindaPatrick MarquiéK. Tse Ve Koon

subject

Physicsbusiness.industryDissipationLine (electrical engineering)Nonlinear systemModulational instabilityAmplitudeOpticsElectric power transmissionQuantum electrodynamicsSolitonbusinessNonlinear Sciences::Pattern Formation and SolitonsExcitation

description

We address the problem of supratransmission of waves in a discrete nonlinear system, driven at one end by a periodic excitation at a frequency lying above the phonon band edge. In an experimental electrical transmission line made of 200 inductance-capacitance LC cells, we establish the existence of a voltage threshold for a supratransmission enabling the generation and propagation of cut-off solitons within the line. The decisive role of modulational instability in the onset and development of the process of generation of cut-off solitons is clearly highlighted. The phenomenon of dissipation is identified as being particularly harmful for the soliton generation, but we show that its impact can be managed by a proper choice of the amplitude of the voltage excitation of the system.

https://doi.org/10.1103/physreve.90.052901