In the diffraction of visible light by a dielectric microcylinder, packages of evanescent waves always arise. However, single plane-wave incidence corresponds to rather small impact of evanescent waves outside the cylinder. In this paper, we theoretically show that a pair of plane waves impinging a glass microcylinder under certain conditions may correspond to much higher impact of the evanescent waves. Namely, the interference of the evanescent waves with the propagating ones results in the suppression of the electromagnetic field in an area with very small cross section. This area is located in free space at a substantial distance from the rear side of the microcylinder and along its axis. It may serve a linear optical trap for cold atoms and ions.