Generation of Mathieu Beams in Millimeter Wave Band using Diffractive Elements

Abstract

The nondiffracting Mathieu beams have highly localized distribution along the angular direction and sharply peak quasi-periodic structure along the radial direction. The beams can propagate a long distance without changing their transverse intensity distribution. The dielectric diffractive elements, which can convert plane wave and Gaussian beam to nondiffracting Mathieu beams at millimeter wavelength, are designed. The transverse intensity patterns of Mathieu beam generated by the proposed diffractive elements are in good agreements with the theoretical distributions, and the propagation distance of generated Mathieu beam is larger than the Gaussian beam.