  In the helicity representation, the Poynting vector (current) for a
monochromatic optical field, when calculated using either the electric or the
magnetic field, separates into right-handed and left-handed contributions, with
no cross-helicity contributions. Cross-helicity terms do appear in the orbital
and spin contributions to the current. But when the electric and magnetic
formulas are averaged ('electric-magnetic democracy'), these terms cancel,
restoring the separation into right-handed and left-handed currents for orbital
and spin separately.
