  We present an analytical and numerical study of electromagnetic modes in
micro and nano fibers (MNFs) where the electric and magnetic fields of the
modes are not necessarily orthogonal to each other. We first investigate these
modes for different fiber structures including photonic crystal fibers. We then
discuss two specific applications of these modes: (1) Generation of
hypothetical axions that are coupled to the electromagnetic fields through the
dot product of electric and magnetic fields of a mode, $\vec{E} \cdot \vec{B}$,
and (2) a new type of optical traps (optical tweezers) for chiral atoms with
magneto-electric cross coupling, where the confining potential again is
proportional to $\vec{E} \cdot \vec{B}$
