  Stokes phenomenon refers to the fact that the asymptotic expansion of complex
functions can differ in different regions of the complex plane, and that beyond
the so-called Stokes lines has an unphysical divergence. An important special
case is when the Stokes lines emanate from phase space caustics of a complex
trajectory manifold. In this case, symmetry determines that to second order
there is a double coverage of the space, one portion of which is unphysical.
Building on the seminal but laconic findings of Adachi, we show that the
deviation from second order can be used to rigorously determine the Stokes
lines and therefore the region of the space that should be removed. The method
has applications to wavepacket reconstruction from complex valued classical
trajectories. With a rigorous method in hand for removing unphysical
divergences, we demonstrate excellent wavepacket reconstruction for the Morse,
Quartic, Coulomb and Eckart systems.
