Numerical investigation of soliton dynamics, injection into the transition region of a soliton diode

We investigate soliton-antisoliton interactions by numerical simulation of a nonlinear transmission line. Long Josephson junction acts as a nonlinear transmission line in which soliton solutions are obtained form Sine-Gordon equation. By proper initial and boundary conditions solitons and antisolitons are obtained inside the same junction, simulating the so called soliton diode. The role of loss in the annihilation of solitons and antisolitons injected to the transition region of the soliton diode is investigated by numerical simulation of their dynamics and phase revolution along the junction. It is shown that such loss can greatly reduce the speed of solitons and antisolitons, lowering the frequency response of the device. A so called “locally-lossy” soliton diode is proposed and it is shown that this configuration maintains annihilation process without much degradation of the device speed.