<i>T</i>-matrix approach to the nonlinear susceptibilities of heterogeneous media

Agarwal, G. S.; Gupta, S. Dutta

doi:10.1103/physreva.38.5678

Cited by 117 publications

(77 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[11], effects of the loss may be neglected in physically relevant settings, as experiments in optical crystals are conducted over sufficiently short propagation distances (a few centimeters) [1,3]. It is also relevant to mention that the CQ nonlinearity was predicted [12] and recently observed [13] in composite optical media (colloids).…”

Section: Introduction and The Modelmentioning

confidence: 99%

Families of spatial solitons in a two-channel waveguide with the cubic-quintic nonlinearity

Birnbaum

Malomed

2008

Physica D: Nonlinear Phenomena

View full text Add to dashboard Cite

We present eight types of spatial optical solitons which are possible in a model of a planar waveguide that includes a dual-channel trapping structure and competing (cubic-quintic) nonlinearity. Among the families of trapped beams are symmetric and antisymmetric solitons of "broad" and "narrow" types, composite states, built as combinations of broad and narrow beams with identical or opposite signs ("unipolar" and "bipolar" states, respectively), and "single-sided" broad and narrow beams trapped, essentially, in a single channel. The stability of the families is investigated via eigenvalues of small perturbations, and is verified in direct simulations. Three species -narrow symmetric, broad antisymmetric, and unipolar composite states -are unstable to perturbations with real eigenvalues, while the other five families are stable. The unstable states do not decay, but, instead, spontaneously transform themselves into persistent breathers, which, in some cases, demonstrate dynamical symmetry breaking and chaotic internal oscillations. A noteworthy feature is a stability exchange between the broad and narrow antisymmetric states: in the limit when the two channels merge into one, the former species becomes stable, while the latter one loses its stability. Different branches of the stationary states are linked by four bifurcations, which take different forms in the model with the strong and weak inter-channel coupling.

show abstract

Section: Introduction and The Modelmentioning

confidence: 99%

Families of spatial solitons in a two-channel waveguide with the cubic-quintic nonlinearity

Birnbaum

Malomed

2008

Physica D: Nonlinear Phenomena

View full text Add to dashboard Cite

show abstract

“…In optics, the cubic-quintic (CQ) nonlinearity with the SF χ (5) part was predicted [18] and recently observed [19] in aqueous colloids. It was also observed in dye solutions [20], and recently predicted, through the cascaded mechanism, in two-level media [21].…”

Section: Introduction and The Modelmentioning

confidence: 99%

Stabilization of two-dimensional solitons and vortices against supercritical collapse by lattice potentials

Driben

Malomed

2008

Eur. Phys. J. D

View full text Add to dashboard Cite

It is known that optical-lattice (OL) potentials can stabilize solitons and solitary vortices against the critical collapse, generated by the cubic attractive nonlinearity in the 2D geometry. We demonstrate that OLs can also stabilize various species of fundamental and vortical solitons against the supercritical collapse, driven by the double-attractive cubic-quintic nonlinearity (however, solitons remain unstable in the case of the pure quintic nonlinearity). Two types of OLs are considered, producing similar results: the 2D Kronig-Penney "checkerboard", and the sinusoidal potential. Soliton families are obtained by means of a variational approximation, and as numerical solutions. The stability of the families, which include fundamental and multi-humped solitons, vortices of oblique and straight types, vortices built of quadrupoles, and supervortices, strictly obeys the VakhitovKolokolov criterion. The model applies to optical media and BEC in "pancake" traps.

show abstract

“…(1) dispersion is included in the linear part ofǭ, while it is neglected in the nonlinearity constant α. As mentioned in the Introduction, a more rigorous approach requires the inclusion of dispersion in both, as discussed by Agarwal et al [14]. The general solutions for such a nonlinear slab are not known even for s-polarized light.…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…In order to make connection with earlier work on a linear system [6], we consider the slab of a metal-dielectric composite medium assuming it to have an overall Kerr nonlinearity. Recall that a rigorous theory for heterogeneous medium with nonlinear inclusions or host exists [14,15], which leads to a complex susceptibility χ (3) having nonlinear absorption as well. In order to retain the simplicity we ignore all such effects and assume the nonlinearity parameter to be a constant, while retaining the absorption/dispersion effects in the linear susceptibility.…”

Section: Introductionmentioning

confidence: 99%

Light-controlled perfect absorption of light

Reddy

Gupta

2013

Opt. Lett.

Self Cite

View full text Add to dashboard Cite

We study coherent perfect absorption (CPA) of light in a Kerr nonlinear metal-dielectric composite medium, illuminated from the opposite ends. Elementary symmetry considerations reveal that equality of the incident light intensities is a prerequisite to ensure CPA in both linear and nonlinear systems for specific system parameters. We also derive the sufficient conditions for having CPA. We further show that while CPA in a linear system is insensitive to the incident power level, that in a nonlinear system can be achieved only for discrete intensities with interesting hysteretic response. Our unified formulation of CPA and waveguiding identifies them as opposite scattering phenomena. We further investigate light-induced CPA in on-and off-resonant systems.

show abstract

T-matrix approach to the nonlinear susceptibilities of heterogeneous media

Cited by 117 publications

References 15 publications

Families of spatial solitons in a two-channel waveguide with the cubic-quintic nonlinearity

Families of spatial solitons in a two-channel waveguide with the cubic-quintic nonlinearity

Stabilization of two-dimensional solitons and vortices against supercritical collapse by lattice potentials

Light-controlled perfect absorption of light

Contact Info

Product

Resources

About