Propagation and stability of the stationary stripe nonlinear guided waves in a symmetric structure with a nonlinear film

Mihalache, Dumitru; Baboiu, D.-M.; Ciumac, M.; Mazilu, Dumitru

doi:10.1007/bf00384682

Cited by 4 publications

(4 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Another way to find the dispersion relation for nonlinear waves propagating along a single interface is to set c 0 at the later stage of the JEM derivation, namely in Eqs. (22) or (23) and the related parameters [Eqs. (15) or (17), respectively].…”

Section: A Jacobi Elliptic Function Based Modelmentioning

confidence: 99%

“…This type of structures will be called here nonlinear slot waveguide (NSW). Studies of structure with a nonlinear dielectric core started in the early 80s from fully dielectric structures [17][18][19][20][21][22][23]. The solutions of Maxwell's equations in a finite size nonlinear dielectric were given in terms of Jacobi elliptic functions [24].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Plasmon-soliton waves in planar slot waveguides. I. Modeling

Walasik

Renversez

2016

Phys. Rev. A

View full text Add to dashboard Cite

We present two complementary models to study stationary nonlinear solutions in one-dimensional plasmonic slot waveguides made of a finite-thickness nonlinear dielectric core surrounded by metal regions. The considered nonlinearity is of focusing Kerr type. In the first model, it is assumed that the nonlinear term depends only on the transverse component of the electric field and that the nonlinear refractive index change is small compared to the linear part of the refractive index. This first model allows us to describe analytically the field profiles in the whole waveguide using Jacobi elliptic special functions. It also provides a closed analytical formula for the nonlinear dispersion relation. In the second model, the full dependency of the Kerr nonlinearity on the electric field components is taken into account and no assumption is required on the amplitude of the nonlinear term. The disadvantage of this approach is that the field profiles must be computed numerically. Nevertheless analytical constraints are obtained to reduce the parameter space where the solutions of the nonlinear dispersion relations are sought.

show abstract

Section: A Jacobi Elliptic Function Based Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Plasmon-soliton waves in planar slot waveguides. I. Modeling

Walasik

Renversez

2016

Phys. Rev. A

View full text Add to dashboard Cite

show abstract

“…Such settings are known as nonlinear antiwaveguides [18,28]. We do not display those solutions here because, as may be naturally expected, they are subject to a strong instability.…”

Section: Basic Types Of Spatial Solitons In the Two-channel Systemmentioning

confidence: 99%

“…In addition to the states trapped in the channels, we have also found solutions for beams trapped in the buffer layer between the channels. Such settings are known as nonlinear antiwaveguides [18,28]. We do not display those solutions here because, as may be naturally expected, they are subject to a strong instability.…”

Section: Basic Types Of Spatial Solitons In the Two-channel Systemmentioning

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

Vectorial simulation and power-parameter characterization of nonlinear planar optical waveguides

Wang

Cambrell

1995

J. Opt. Soc. Am. B

View full text Add to dashboard Cite

Propagation and stability of the stationary stripe nonlinear guided waves in a symmetric structure with a nonlinear film

Cited by 4 publications

References 31 publications

Plasmon-soliton waves in planar slot waveguides. I. Modeling

Plasmon-soliton waves in planar slot waveguides. I. Modeling

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

Vectorial simulation and power-parameter characterization of nonlinear planar optical waveguides

Contact Info

Product

Resources

About