  Three examples of non-dissipative yet cumulative interaction between a single
wavetrain and a single vortex are analysed, with a focus on effective recoil
forces, local and remote. Local recoil occurs when the wavetrain overlaps the
vortex core. All three examples comply with the pseudomomentum rule. The first
two examples are two-dimensional and non-rotating (shallow water or gas
dynamical). The third is rotating, with deep-water gravity waves inducing an
Ursell `anti-Stokes flow'. The Froude or Mach number, and the Rossby number in
the third example, are assumed small. Remote recoil is all or part of the
interaction in all three examples, except in one special limiting case. That
case is found only within a severely restricted parameter regime and is the
only case in which, exceptionally, the effective recoil force can be regarded
as purely local and identifiable with the celebrated Craik-Leibovich vortex
force -- which corresponds, in the quantum fluids literature, to the Iordanskii
force due to a phonon current incident on a vortex. Another peculiarity of that
exceptional case is that the only significant wave refraction effect is the
Aharonov-Bohm topological phase jump.
