An overview is presented of the characteristics of hydromagnetic waves propagating in Harris-type current sheet with magnetic field of Bx(z) × ̌ and an embedded guide By component based on the ideal magnetohydrodynamic (MHD) model. The wave equations are expressed in the (k∥, k, z) coordinates, and singularities are identified for general cases of ky≠0 and By ≠ 0, where k ∥ and k are the components of the wave vector parallel and perpendicular to the local magnetic field, respectively, and the inhomogeneity is in the z direction. The presence of By may lead to the rotation of the magnetic field relative to the wave vector so that a singular layer with k = 0 surrounded by a neighboring region of k ≠ 0 may exist. This result is in contrast with the Case of By = 0 for which Alfvén or field-line resonance associated with the mathematical singularity tends to occur for k ≠= 0 and ω = k∥ CA, where C A is the Alfvén speed. The possibility for MHD waves with frequency ofω = k∥ CA to propagate through the inhomogeneous layer with By ≠ 0 is analyzed, and numerical solutions for discrete eigenmodes with various free parameter values are presented.