Multi-level sorting of nanoparticles on multi-step optical waveguide splitter

We propose an optofluidic sorting method for nanoparticles with different size by using optical waveguide splitter, and moreover, multiple cascaded splitters with different threshold could act as multi-level sorting unit. For a directional coupler (DC) with a specific wavelength excitation, the power splitting ratio is related to the coupling length and the gap between parallel waveguides. The power splitting ratio further determines the trapping force and potential wells distribution of both output ports. Most importantly, the potential well distribution is dependent on the particle size. For larger particles, the potential wells of both waveguides are inclined to merge, which makes it easier to be attracted and transfers to the adjacent waveguide with deeper potential well. The critical size of sorting is corresponding to the case when the barrier between wells just disappears, or the second derivative of the potential distribution is exactly zero. Moreover, since the sorting threshold of nanoparticles is related to coupling length and gap, multiple cascaded splitters with length or gap gradually varied could act as a multi-level sorting unit. A four-level sorting unit with a critical particle size of 600nm, 700nm, and 800nm are demonstrated. By considering the Brownian motion of particles and using particle-tracking method, the random distribution of nanoparticles on parallel waveguides in the sorting process is statistically presented, which agreed well with its corresponding potential wells distribution analysis. This sorting method based on multi-step optical waveguide splitter offers a number of advantages including single wavelength excitation, low loss, low power performance and ease of fabrication. This design can realize the high-throughput and large-scale nanoparticle automatic sorting in integrated photonic circuits, which have great potential for a large scale lab-on-a-chip system.