Abstract

By using the method of the ABCD matrix, the propagation of Airy Gaussian vortex (AiGV) beams through slabs of right-handed materials (RHMs) and left-handed materials (LHMs) is reported. Based on the Huygens diffraction integral, an approximate analytical propagation equation for AiGV beams is derived. Using numerical simulations, we study the intensity and phase distributions of the AiGV beams in RHMs and LHMs. We find that the optical vortex can destroy the center lobe of the AiGV beams, and the center lobe can reconstruct due to the fact that the acceleration of the vortex and the AiGV beam is not consistent. We also investigate the influence of different χ0 values on the propagation of the AiGV beams through slabs of RHMs and LHMs, which can cause the AiGV beams to tend toward an Airy vortex beam with a smaller value and a Gaussian vortex beam with a larger one. In addition, we elucidate the energy flow and the angular momentum of the AiGV beams.

© 2014 Optical Society of America

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