Cartesian components of the magnetic field that is axially symmetric in cylindrical coordinates. Upper left panel: magnetic field in the {x, y} plane cut at z = +1. Upper right panel: {x, y} plane at z = −1. Lower left panel: {y, z} poloidal plane at x = 1. The lower right panel is a 3D view of the field above and below the plane. The parameters used in the figure are {k, s, β, βp, ω, t}={−0.03, 1, 0, 0, −2, 4}. The scales are ϖ_N for the radius and z_d along the axis. The arrows show the direction of the field at the end point of the arrow, but the field strength in the first three figures has been adjusted so as to show the outer arrows clearly. The fourth figure shows each arrow length as a fraction of the maximum value.