Phys. Rev. E 77, 066602 (2008) [13 pages]Nonlinear constructive interference in electrical latticesReceived 29 November 2007; revised 1 April 2008; published 6 June 2008 We analyze the constructive interference of input signals in nonlinear, discrete, two-dimensional media. The media consist of inductor-capacitor lattices with saturating, voltage-dependent capacitors. We find that nonlinearity significantly boosts the ability of such media to generate large-amplitude output signals from small-amplitude inputs. To understand this boosting, we develop a general perturbative method suitable for finding the steady-state solution of a damped N×N nonlinear lattice that is driven at a single frequency. We verify our theory using extensive numerical simulations. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.77.066602
DOI:
10.1103/PhysRevE.77.066602
PACS:
05.45.Yv, 84.40.Az, 63.20.Pw
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.