Nonparaxial Mathieu and Weber accelerating beams

Abstract

We demonstrate both theoretically and experimentally nonparaxial Mathieu and Weber accelerating beams, generalizing the concept of previously found accelerating beams. We show that such beams bend into large angles along circular, elliptical or parabolic trajectories but still retain nondiffracting and self-healing capabilities. The circular nonparaxial accelerating beams can be considered as a special case of the Mathieu accelerating beams, while an Airy beam is only a special case of the Weber beams at the paraxial limit. Not only generalized nonparaxial accelerating beams open up many possibilities of beam engineering for applications, but the fundamental concept developed here can be applied to other linear wave systems in nature, ranging from electromagnetic and elastic waves to matter waves.

Physical Review Letters (in press)

References in corpus (3)

• Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media
• Non-Paraxial Accelerating Beams
• Sending femtosecond pulses in circles: highly non-paraxial accelerating beams

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• Self-accelerating Parabolic Cylinder Waves in 1-D
• Large-Angle Bending Transport of Microparticles by Acoustic Half-Bessel Beams
• Angular acceleration with radial dependence of twisted light
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