Gs. Mcdonald et Wj. Firth, SWITCHING DYNAMICS OF SPATIAL SOLITARY WAVE PIXELS, Journal of the Optical Society of America. B, Optical physics, 10(6), 1993, pp. 1081-1089
Separatrices and scaling laws in the switching dynamics of spatial sol
itary wave pixels are investigated. We show that the dynamics in the f
ull model are similar to those in the plane-wave limit. switching feat
ures may be indicated and explained by the motion of the (complex) sol
itary wave amplitude in the phase plane. We report generalization, int
o the domain of transverse effects, of the pulse area theorem for the
switching process and a logarithmic law for the transient dynamics. We
also consider, for what is the first time to our knowledge, phase-enc
oded address of solitary pixels and find that a near-square-wave tempo
ral switching pattern is permitted without (transverse) cross switchin
g.