Abstract
A lattice-induced opacity is identified in the scattering process of a normally incident matter wave colliding with a two dimensional lattice of atoms. This system can be treated as an analog of a confinement-induced resonance. Specifically, by modifying the $s$-wave scattering length between atoms in the incident matter wave and the lattice-confined atoms, the transmission of the matter wave can be tuned controllably throughout the range from zero to one. The theoretical treatment shows how the mathematical description of confinement-induced resonances can be viewed as an extension of Bragg scattering theory, with alternate opportunities for transmission control.
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