The guiding of atoms by laser light is investigated for atoms inside a long
hollow cylinder with a rectangular cross section of subwavelength dimensio
ns axb. The cavity modes an quantized, allowing the position-dependent spon
taneous emission rate to be evaluated for an electric dipole inside the cyl
inder. Useful limits of the spontaneous rare are derived. In particular, re
sults appropriate for the parallel-plate case an recovered when side a of t
he rectangular cross section becomes large, while side b is kept fixed. In
the limit of the small cross section, especially when both a and b are less
than lambda (the atom electric dipole transition wavelength), the spontane
ous emission process is possible only via a few cavity modes. If a cavity m
ode is now excited with sufficient intensity, the atoms become subject to a
transverse dipole potential and an axial dissipative force, both of which
vary across the cylinder and are also functions of the atom axial velocity.
The dipole potential is responsible for the transverse trapping (and hence
the channeling) of atoms at specific regions of the: cross section, while
the dissipative force controls the axial motion of the channeled atoms. The
conditions facilitating atom guiding are explored using typical parameters
for sodium atoms in rectangular cylinders of subwavelength dimensions. [S1
050-2947(98)07212-6].