Driving a Dielectric Cylindrical Particle With a One Dimensional Airy Beam: A Rigorous Full Wave Solution

Abstract

Abstract-We present a rigorous full wave calculation of the optical force on a dielectric cylindrical particle of an arbitrary size under the illumination of one dimensional (1D) Airy beam. The radiation force is written in terms of the cylindrical partial wave expansion coefficients of the non-paraxial 1D Airy beams. Our simulation results demonstrate that an Airy beam can accelerate the microparticles along its parabolic trajectory, while transverse to which the particles are trapped at the center of its main lobe, corroborating the possibility of the long distance particle transport by means of an Airy beam.

Beam Propagation Factor of a Cosh-Airy Beam

“…The decay factors of these two Airy beams are a + γ and a − γ, respectively. According to Equation (20), the M x 2 factor of the Airy beam is small for a large decay factor. The premise of the cosh-Airy beam with a small M x 2 factor is that these two Airy beams both have small M x 2 factors.…”

“…The analytical expression of the beam propagation factor of an Airy beam has been derived on the basis of the Ermakov-Pinney equation [19]. Under the illumination of a one-dimensional Airy beam, the optical force on a dielectric cylindrical particle of an arbitrary size has been calculated [20]. Airy beams can be created by employing a transmissive spatial light modulator [21].…”

Properties of Airy-Gauss Beams in the Fractional Fourier Transform Plane

“…By using the coherently combinative technology, a high-power Airy beam can be generated [19]. The Airy beam can be used in particle clearing [20], optical switching [21], optical trapping [22], and spatiotemporal measurement [23]. Due to carrying finite power, the Airy-Gauss beam is described in a more realistic way that the Airy beam propagates [24].…”