  We investigate trapping geometries for cold, neutral atoms that can be
created in the evanescent field of a tapered optical fibre by combining the
fundamental mode with one of the next lowest possible modes, namely the HE21
mode. Counter propagating red-detuned HE21 modes are combined with a
blue-detuned HE11 fundamental mode to form a potential in the shape of four
intertwined spirals. By changing the polar- ization from circular to linear in
each of the two counter-propagating HE21 modes simultaneously the 4-helix
configuration can be transformed into a lattice configuration. The modification
to the 4-helix configuration due to unwanted excitation of the the T E01 and T
M01 modes is also discussed.
