We study numerically the dynamics of a beam in a focusing photorefractive nonlinear optical lattice with a longitudinal
potential barrier. Such kind of lattice with the refractive index modulation in both transverse and longitudinal directions
can be realized by induced optically in photorefractive crystals. Different soliton states are found with different position
of the input pulse, which exhibits compression or splitting during transmission. The results also indicate that the intensity
of a beam and the transverse modulation frequency of lattice can affect apparently the ability of tunneling. For the same
lattice depth, the smaller the transverse frequency of the lattice is and the higher peak intensity the soliton possesses, the
easier the soliton tunnels through. However, when we increase the frequency of optical lattice, the optical beam can
successfully pass through the barrier for the relatively small value of lattice depth as well. Otherwise, the beam splits into
some filaments when the lattice depth is large enough. In addition, we find that beam can exhibit the behavior of
oscillation during transmission and the oscillation frequency of spatial soliton is influenced by the biased field.
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