Abstract
Recently, much attention has been given to the influence of the
relaxation process of the non-linear response, because the usual
assumption of instantaneous non-linear response fails for ultra-short
pulses, and additional contributions coming from non-linear dispersion
and delayed non-linearity have to be taken into account. This article
presents a numerical analysis of the symmetric planar and asymmetric
planar three-core non-linear directional fiber couplers operating with a
soliton pulse, where effects of both delayed and instantaneous non-linea
Kerr responses are analyzed for implementation of an all-optical
half-adder. To implement this all-optical half-adder, eight
configurations were analyzed for the non-linear directional fiber
coupler, with two symmetric and six asymmetric configurations. The
half-adder is the key building block for many digital processing
functions, such as shift register, binary counter, and serial parallel
data converters. The optical coupler is an important component for
applications in optical-fiber telecommunication systems and all
integrated optical circuit because of its very high switching speeds. In
this numerical simulation, the symmetric/asymmetric planar presents a
structure with three cores in a parallel equidistant arrangement, three
logical inputs, and two output energy. To prove the effectiveness of the
theoretical model for generation of the all-optical half-adder, the best
phase to be applied to the control pulse was sought, and a study was
done of the extinction ratio level as a function of the Delta theta
parameter, the normalized time duration, and the Sum and Carry outputs
of the (symmetric planar/asymmetric planar) non-linear directional fiber
coupler. In this article, the interest is in transmission
characteristics, extinction ratio level, normalized time duration, and
pulse evolution along the non-linear directional fiber coupler. To
compare the performance of the all-optical half-adders, the figure of
merit of the logic gates was used. All results were obtained
numerically, considering a simple model for generation of an all-optical
half-adder.
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