Eur. Phys. J. B 72, 257-261 (2009)
https://doi.org/10.1140/epjb/e2009-00295-y

Frequency divider by underdamped Josephson transmission line

¹ Physics Department, Tbilisi State University, 0128 Tbilisi, Georgia
² Max-Planck-Institut fur Physik komplexer Systeme, 01187 Dresden, Germany

Corresponding author: ^a khomeriki@hotmail.com

Received: 17 April 2009
Revised: 2 August 2009
Published online: 11 September 2009

Abstract

A parallel array of coupled short Josephson junctions under boundary ac driving is theoretically investigated. The driving response is monitored via numerical simulations on the associated Frenkel-Kontorova model as an oscillating output current at the other boundary junction. The theoretical analysis is conducted assuming the phase locking of boundary driving with exact stationary solution of sine-Gordon equation that can be represented by a kink (fluxon) motion back and forth in the restricted geometry of the array. As a consequence the results suggest the conception of a device which could switch to the conducting regime not according to intensity range but rather to given (quantized) frequency range. Moreover our findings indicate also a frequency converting scenario by choosing appropriately the system length and injected fluxon number.