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Single beam acoustical tweezers based on focused beams: A numerical analysis of 2D and 3D trapping capabilities

Selective single beam tweezers open tremendous perspectives in microﬂuidics and microbiology for the micromanipulation, assembly and mechanical properties testing of microparticles, cells and microorganisms. In optics, single beam optical tweezers rely on tightly focused laser beams, gener-ating a three-dimensional (3D) trap at the focal point. In acoustics, 3D traps have so-far only been reported experimentally with speciﬁc waveﬁelds called acoustical vortices. Indeed, many types of particles are expelled (not attracted to) the center of a focused beam. Yet the trapping capabilities of focused beams have so-far only been partially explored. In this paper, we explore numerically with an angular spectrum code the trapping capabilities of focused beams on a wide range of parameters (size over wavelength ratio and type of particles). We demonstrate (i) that 3D trapping of particles, droplets and microorganisms more compressible than the surrounding ﬂuid is possible in and beyond Rayleigh regime (e.g. polydimethylsiloxane, olive oil, benzene, and lipid sphere) and (ii) that 2D trapping (without axial trap) of particles with positive contrast factor can be achieved by using the particles resonances.