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We analytically study the propagation dynamics of two-dimensional accelerating beams in a generalized way and propose an optimized method to enhance their peak intensities. Our theoretical analysis is confirmed by experimental results.
We demonstrate nonparaxial Mathieu and Weber accelerating beams, generalizing the concept of previously found accelerating beams. Such beams bend into large angles along elliptical or parabolic trajectories but still retain nondiffracting and self-healing capabilities.
We propose and demonstrate a scheme to control the trajectories of single/multiple self-accelerating beams through analyzing the Fourier-space phase in both the paraxial and non-paraxial regimes. Our method is also applicable to vector self-accelerating beams.
We demonstrate optical beam auto-focusing without the need of a focusing lens or nonlinearity. Radial Airy beams with inward and outward accelerations are used and an abrupt transition between Airy and Bessel behavior is observed.
We show how to enhance, reduce, and completely suppress the acceleration of Airy beams in graded-index media. By engineering the refractive-index gradient, active bending control of the Airy beams is realized, relevant to various environments.
Two-dimensional Airy beams controlled with self-focusing and self-defocusing nonlinearities exhibit unexpected behavior in free-space and scattering media, including stagnation and anomalous diffraction, and resistance to vibration and distortion, solely depending on the initial control.
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