Pl. Chu et al., SOLITON CONTROLLING, SWITCHING, AND SPLITTING IN NONLINEAR FUSED-FIBER COUPLERS, Journal of the Optical Society of America. B, Optical physics, 12(5), 1995, pp. 898-903
We propose an exactly solvable model of soliton-based pulse control th
at describes the physically important situation when the soliton perio
d is much longer than the length of the coupling region in a nonlinear
fiber coupler. This case can occur, e.g., in fused-fiber couplers. We
demonstrate that the problem of soliton interaction and switching in
such a coupler can be reduced to a linear relation between the fields
before and after interaction. The soliton states can be found by solut
ion of two Zakharov-Shabat eigenvalue problems associated with a pair
of decoupled nonlinear Schrodinger equations. Various regimes of solit
on control, switching, and splitting in this model are discussed. In p
articular, we show that perfect pulse switching from one arm of the co
upler to the other resembles the switching of continuous waves in line
ar couplers, whereas the phase-controlled switching of solitons is sim
ilar to that in nonlinear directional couplers. We also describe other
schemes of soliton control, including pulse compression through fusio
n of two fundamental solitons.