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The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
Published on: August 12, 2013
Nonlinear constructive interference in electrical lattices
1School of Natural Sciences, University of California, P. O. Box 2039, Merced, California 95344, USA. hbhat@ucmerced.edu
Abstract:
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 NxN nonlinear lattice that is driven at a single frequency. We verify our theory using extensive numerical simulations.
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