Control of nonlinear self-action of high-power Gaussian beams: using a nonlinear left-handed material slab

Abstract

We present the theoretical and the numerical investigations of the control effect of a left-handed material (LHM) slab with third-order nonlinearity on the nonlinear propagation and the self-focusing of high-power Gaussian beams in a conventional self-focusing Kerr medium. Analytical solutions for the beam spatial properties and the self-focusing distance are derived. It is found that, in the conventional self-focusing Kerr medium, the beam diverging and the beam converging can be enhanced and suppressed, respectively, by the nonlinear LHM slab, and both the enhancing and the suppressing can be reversed by adjusting the distance between these two media. The self-focusing is also found to be enhanced or suppressed freely, and the variation of self-focusing distance takes on an interesting waving pattern. Moreover, computer simulations demonstrate the anomalous variation of self-focusing distance with the focusing property of the incident beam.

Propagation properties of Gaussian beam through a asymmetric negative index slab system by transfer matrix

“…Assuming beam propagates from 0 z  into region 3, the second positive media for distance 3 z , where this distance 3 z lie in region 3 starting from the right interface of the negative index slab. Then the transfer matrix can be expressed as (11) Similarly, the complex parameter in the region 3 can be derived according to this transfer matrix: …”

“…Negative refraction index slab system is a new optical system [1], a lot of scholars researched on this system [9][10][11][12][13], but their models are symmetrical, that is, in the negative index slab sides, either free space or the same positive refractive index material. In our system, both the negative index slab sides are two different positive refractive index materials, which we call asymmetric negative index slab system.…”