The present invention is related to an apparatus for the sorting of particles in a fluid medium flowing within a liquid-core waveguide, by combining customized light intensity patterns formed inside the waveguide, and diluting the suspension of particles (i.e., cells, blood, nanoparticles, etc.) flowing within the fluid medium of the waveguide. With this customized light intensity pattern, which controls the optical forces introduced by the light confined within the waveguide, and the control of the hydrodynamic forces introduced by the liquid flow (or multiple channel liquid flows), the sorting of particles can be achieved.