Through using the standard split-step Fourier method, it is found that the transverse modulation instability (MI)can
develop when beams copropagate in the positive- and the negative-index region of the metamaterials (MMs) respectively
and it is equivalent with the temporal MI in the case of two pulses copropagate in the anomalous and normal dispersion
regions of the optical fibers respectively, which is meaning that bright and dark electromagnetic spatial solitons may
generate simultaneously. Furthermore, it is confirmed that the bright and dark electromagnetic spatial solitons may even
generate simultaneously when beams copropagate in MM, which is a new way to generate spatial soliton pair for there is
only leading to the generation of bright or dark spatial solitons in conventional material when two beams copropagate.
It is well known that the omnidirectional photonic bandgap (zero-n bandgap) can be realized in the one-dimensional
photonic crystals containing metamaterials. However, these omnidirectional photonic bandgaps are not tunable. In this
manuscript, we show that the electrically tunable omnidirectional photonic bandgap can be obtained in one-dimensional
photonic crystal with third-order nonlinear composite materials and linear metamaterials. It is demonstrated this photonic
crystal possesses electrically tunable photonic band structures based on the fact that the effective refractive index of
nonlinear composite material has electric-field dependence due to the existence of third-order nonlinear responses.
Moreover, we also showed that the photonic bandgap of this photonic crystal can be tuned by controlling the filling
fraction f of the composite.
Absorption or loss is inevitable for the metal-based metamaterials (MMs) due to the intrinsic loss of the metal, and
constitutes a major hurdle to the practical realization of most applications such as a sub-wavelength lens. Thus, to reduce
the losses becomes one of the major challenges in the MM field. However, the inevitable loss can also be harnessed to
take a positive role in the applications of MMs such as stealth technology or other types of cloaking devices. In this
presentation, after a brief review of the advances in MMs-based absorbers, we present several schemes to fulfill the
desired electromagnetic absorption properties, both linear and nonlinear. For linear absorption, we have experimentally
demonstrated that the absorption performance of an ordinary microwave absorbing material can be evidently improved
by using the electric resonance resulting from an array of subwavelength metallic circuit elements. For nonlinear
absorption, we show theoretically that the active linear magnetic permeability induces a nonlinear absorption, similar to
the two-photon absorption (TPA), of electric field in a lossy MM with a Kerr-type nonlinear polarization.
Metamaterials (MMs) are artificial structures, which can be engineered to satisfy the prescribed requirements. The most
important difference between an ordinary medium and a MM is that the former has a constant permeability, while the latter
has a dispersive and controllable permeability. MMs can extend the electromagnetic properties of conventional materials,
and the study of the nonlinear propagation of ultrashort pulses in MMs could lead to completely new electronic and optical
devices. In this paper, the research advances on the propagation of electromagnetic pulses in MMs with third-order nonlinear
response are briefly described. Special effort is focused on the typical nonlinear optical phenomena such as modulation
instability, bright and dark solitons.
Two kinds of novel spatial filters constructed by metamaterials and their possible applications in high-power laser
systems have been investigated. The first one can be constructed by forming a compensating bilayer of indefinite
metamaterials. It is shown that the cutoff wave vector of the low-pass spatial filter can be adjusted desirably. The second
kind of low-pass spatial filter is based on the controllable dispersion characteristics of photonic crystals. With proper
design, the higher spatial frequency components, which are incident to the filter with angles exceed a critical value, are
reflected totally because no Bloch waves of the photonic crystals can be excited. However, the lower spatial frequency
components are coupled to the self-collimating modes and permeate with high transmission. The applications of the two
novel kinds of metamaterials-based low-pass spatial filter in high-power lasers are discussed.
We study the propagation property of soliton pulses in negative-index metamaterials with a nonlinear polarization, and
especially analyze the influence of the controllable self-steepening effect, which is resulted from the dispersive magnetic
permeability in negative-index metamaterials, on soliton formation and propagation. The results indicate that the
negative self-steepening effect also leads to the asymmetry of soliton pulse, the center shift and the decay of higher-order
soliton. In addition, the controllable self-steepening effect can be used to counteract the shift of soliton pulse resulted
from the third order dispersion effect to make the soliton pulse propagation without center shift to some extent.
We investigate the Goos-Hanchen (GH) shifts from an asymmetric configuration with single-negative materials by means of the stationary phase theory. The transmission and reflection coefficients for both TE- and TM-polarized incident beams are obtained using the transfer matrix method. A large GH shift was observed in the asymmetric configuration with single-negative materials when the surface polariton is properly excited for the TM polarization. The GH shift of the reflected beam is not equal to that of the transmitted beam. Furthermore, it is found that there is an optimum thickness and an optimum incident angle for the maximum GH shift time. The GH shift of the reflected beam can be detectable due to its large value and high reflectivity.
The guided optical modes in the asymmetric slab waveguide with a core of the normal dielectric surrounded by two single-negative (SNG) materials are investigated. The condition for occurring surface waves in the SNG material is analyzed. It is found that the epsilon-negative (ENG) waveguide supports both oscillating and surface guided modes, which is a new feature that the conventional waveguide does not possess. The oscillating guided modes of TM polariton are absent of fundamental mode, while the TE polariton can support the fundamental mode. For higher frequency, larger slab thickness and constitutive parameters, the ENG waveguide accommodates more oscillating guided modes. Furthermore, it is found that the ENG waveguide only supports TM surface guided modes, while the mu-negative (MNG) waveguide only supports TE surface guided modes. The existence of various stable solutions to the surface guided modes depends on the combination of the different constitutive parameters and the structures of waveguide. Finally, the transverse profiles of the surface guided modes in three different regions are obtained.
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