Linear textures and magnetic resonances in superfluidHe3-A

The magnetic-resonance frequencies of three typical linear textures in superfluid ${}_{}{}^3{}_{}{}^{}\mathrm{He}$-$A$ in a cylinder are determined. It is shown that the resonance frequencies for an axial rf field are the same as that for the bulk liquid (i.e., for uniform texture), while those for a transverse field have an additional dipole shift of the order of ${\Omega }_A{\left(\frac{{\xi }_{\perp }}{R}\right)}^2$ in excess to the bulk dipole shift, where ${\Omega }_A$ is the Leggett frequency, ${\xi }_{\perp }$ is the dipolar coherence length, and $R$ is the radius of the cylinder.