“…(5) is to be realized as the propagation distance and x as the transverse coordinate in the plane of the waveguide], the medium can be described by 1D equations if the thickness of the photorefractive layer, d Ќ , is smaller than a typical transverse width, W Ќ , of the 2D spatial soliton in photorefractive crystals. As predicted in theoretical analysis [35], and confirmed by experimental observations in nearly isotropic, [strontium barium niobate (SBN)] [36] and strongly anisotropic ͑KNbO 3 ͒ [37] crystals, the soliton-forming beam with the power in the microwatt range gives rise to spatial solitons with W Ќ taking values in the range of 10-30 m. Thus, the 1D approximation may be well justified for d Ќ Շ 10 m. If the thickness of the cladding layers, in which the grating is written, is Ӎ2 m (a natural size of the cladding), the effective strength of the grating (i.e., the Bragg reflectivity), averaged in the transverse direction, will be ϳ50% of its actual strength in the cladding. The latter characteristic may be defined as the inverse reflection length; usually, it is 1 / l refl ͑Bragg͒ ϳ 1 mm −1 , for weak gratings [1].…”