Intensity and phase rotation of beams in left-handed metamaterials

The propagation model of Laguerre-Gaussian beams in left-handed materials was established. Through the study of phase distribution, the rotation was found to be dependent on model parameters, Gouy phase, frequency, and dispersion. The azimuthal phase difference is the main reason for the intensity rotation. The inverse Gouy phase shift caused by the negative refractive index leads to a reverse rotation of intensity. In the normal dispersion regime, the phase and the intensity rotate in the same direction. In the anomalous dispersion regime, however, they rotate in opposite directions.