  A semi-analytical approach to atomic waveguide scattering for harmonic
confinement is developed taking into account all partial waves. As a
consequence $\ell$-wave confinement-induced resonances are formed being coupled
to each other due to the confinement. The corresponding resonance condition is
obtained analytically using the $K$-matrix formalism. Atomic scattering is
described by transition diagrams which depict all relevant processes the atoms
undergo during the collision. Our analytical results are compared to
corresponding numerical data and show very good agreement.
