Image 1 Caption: "An animation of a half-wave dipole antenna (a stardard radio antenna) emitting radio waves (radio band fiducial range 3 Hz -- 300 GHz = 0.3 THz, 0.1 cm -- 10**5 km
Features:
In fact, the electric field and magnetic field have values at all points in spacetime, but in animations and diagrams only a representative sample of field lines can be shown of course.
In Image 2, the sample of magnetic fields is rather skimpy.
In fact, the magnetic field lines will be everywhere perpendicular to the electric field lines and form circles around the antenna axis (see Wikipedia: Near and far field: Summary of regions and their interactions).