N. Fressengeas et al., TEMPORAL BEHAVIOR OF BIDIMENSIONAL PHOTOREFRACTIVE BRIGHT SPATIAL SOLITONS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54(6), 1996, pp. 6866-6875
The time behavior of bright spatial solitons in biased photorefractive
media is investigated within the framework of a bidimensional band tr
ansport model. Biasing the photorefractive media requires an externall
y applied electric field or the presence of a photovoltaic effect. The
se two basically different phenomena are shown to be equivalent and ad
ditive. The mechanism of space-charge field buildup is analytically ex
pressed, leading to a time-dependent wave propagation equation in gene
ric photorefractive media. The temporal behavior of the soliton soluti
ons to this equation is investigated. It shows the evolution of the so
liton beam from the time the external electric field is applied to the
final steady-state soliton. On the way, the so-called quasisteady sol
iton is retrieved, along with its properties. Furthermore, the photovo
ltaic soliton is described by the wave propagation equation: its behav
ior is the same as that of the steady-state soliton, the transient sta
tes included. Finally, low-power photorefractive bright spatial solito
ns are generated in a Bi12TiO20 crystal with a He-Ne laser and their t
emporal behavior is investigated, thus providing an experimental valid
ation of our theoretical considerations.