title: Nonlinear transmission and spatiotemporal solitons in metamaterials with negative refraction.
abstract: We study one- and two-dimensional transmission of electromagnetic waves through a finite slab of a dielectric material with negative refraction. In the case when the dielectric slab possesses an intensitydependent nonlinear response, we observe the nonlinearity-induced wave transmission through an opaque slab accompanied by the generation of spatiotemporal solitons. We solve this problem numerically, by employing the finite-difference time-domain simulations, for the parameters of microstructured materials with the negative refractive index in the microwave region, but our results can be useful for a design of nonlinear metamaterials with the left-handed properties in other frequency range.
authors.forename: Ilya
authors.initials: I
authors.lastname: Shadrivov
authors.forename: Nina
authors.initials: N
authors.lastname: Zharova
authors.forename: Alexander
authors.initials: A
authors.lastname: Zharov
authors.forename: Yuri
authors.initials: Y
authors.lastname: Kivshar