Surface flute modes in a rippled magnetic field

An analytic study is made of the propagation of an electromagnetic wave packet with a zero axial number of the fundamental harmonic in a cylindrical metal waveguide partially filled with a plasma placed in a rippled magnetic field. The fields of the waves are determined to second order in the small ripple parameter. It is shown that the ripple-induced correction to the eigenfrequency of the waves is a second-order quantity.