  The topological evolution of classic eigenmodes including
Hermite-Laguerre-Gaussian and (helical) InceGaussian modes is exploited to
construct coherent state modes, which unifies the representations of
travelingwave (TW) and standing-wave (SW) ray-wave structured light for the
first time and realizes the TW-SW unified ray-wave geometric beam with topology
of raytrajectories splitting effect, breaking the boundary of TW and SW
structured light. We experimentally generate these new modes with high purity
and dynamic control by digital holography method, revealing potential
applications in optical manipulation and communication.
