Optical Gaussons in nonlinear directional couplers

Anjan BiswasDepartment of Mathematical Sciences, Delaware State University, DE 19901–2277, Dover, USA;Faculty of Science, Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia

Dawn A. LottDepartment of Mathematical Sciences, Delaware State University, DE 19901–2277, Dover, USA

Brielle SuttonDepartment of Mathematical Sciences, Delaware State University, DE 19901–2277, Dover, USA

Kaisar R. KhanCanino School of Engineering Technology, State University of New York, NY-13617, Canton, USA

Mohammad F. MahmoodDepartment of Mathematics, Howard University, DC-20059, Washington, USA

Abstract

This paper studies optical Gaussons in nonlinear directional couplers. Both twin-core couplers as well as multiple-core couplers are considered. For multiple-core couplers, coupling with nearest neighbors as well as coupling with all neighbors are considered. A closed form optical Gausson solution is obtained in all of these cases where the amplitude of the Gaussons is governed by a nonlinear difference equation. The domain restrictions naturally fall out as constraint conditions in order for the Gaussons to exist.

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Optical Gaussons in nonlinear directional couplers

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Optical Gaussons in nonlinear directional couplers

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