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We determine exactly the non-retarded Casimir-Polder interaction between aneutral but polarizable particle and a perfectly reflecting sheet containing acircular hole. The calculation reveals a strong dependence of the interactionon the orientation of the particle's electric dipole moment with respect to thesurface. For a dipole moment that is polarized perpendicularly to the surfacethe interaction potential has two saddle points lying above and below the planeof the surface, on a line through the centre of the aperture. For a dipolemoment that is polarized parallel to the surface there is only one saddle pointright in the middle of the aperture. Provided the particles' motion could beconfined to a line through the middle of the aperture, this effect couldpotentially be used for population-sensitive trapping of particles.

Casimir-Polder interaction between a polarizable particle and a plate with a hole