Gaussian beams in near-zero transition metamaterials

We theoretically and numerically investigate the phenomenon of resonant field enhancement of Gaussian beams in two types of transition metamaterials: with a positive-zero-negative index profile and with a positive-zero-positive index profile and demonstrate strongly localized resonant field enhancement in both cases. This study is likely to have applications in the fields of nonlinear and transformation optics and lays a foundation for the studies of more complex vector and vortex beam propagation in graded-index metamaterials.