We analytically predict the existence of both spatial bright and dark counterpropagating solitons in a reflection grating in the presence of the Kerr nonlinearity. The basic trapping mechanism consists of a twofold balance where diffraction is compensated by self-focusing and reflection is altered by the nonlinear-induced interferometric grating. We find that, whenever the spectral soliton profile lies within the grating stop band, bright and dark solitons exist only if the mutual phase of the counterpropagating solitons is π or 0, respectively.
© 2006 Optical Society of America
Original Manuscript: December 22, 2005
Revised Manuscript: February 14, 2006
Manuscript Accepted: February 20, 2005
Alessandro Ciattoni, Carlo Rizza, Eugenio DelRe, and Elia Palange, "Counterpropagating spatial Kerr soliton in reflection gratings," Opt. Lett. 31, 1507-1509 (2006)