Full vectorial simulation of bistability phenomena in nonlinear-optical channel waveguides

Wang, X. H.; Cambrell, G.K.

doi:10.1364/josab.10.001090

Cited by 14 publications

(4 citation statements)

References 10 publications

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“…Conversely, branches with a negative slope correspond to a range of unstable solutions that quickly evolve into other guided and unguided modes [25,26]. These modes cannot be found with our iterative approach because it relies on a self-consistent process that only converges to stable solutions [30][31][32].…”

Section: Linear Substrate Self-focusing Claddingmentioning

confidence: 99%

“…4(a) also exhibits a bistable behavior. This hypothesis is further reinforced by the fact that bistability arises frequently with optical waveguides bound by a linear substrate and a selffocusing cladding (see, e.g., [30][31][32]). Further work is required to elucidate this question.…”

Section: Linear Substrate Self-focusing Claddingmentioning

confidence: 99%

“…To capture this behavior, it is necessary to pursue the iterations after the simulations have converged to the first mode because small numerical instabilities eventually cause an abrupt jump in the convergence process that lead to the second solution. It should be noted that variants of this iterative approach have already been widely used for studying the modes of three-dimensional nonlinear dielectric waveguides [29][30][31][32][33]. It is known to provide reliable solutions, even when multiple modes exist at the same power [30].…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear long-range plasmonic waveguides

Degiron

Smith

2010

Phys. Rev. A

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We report on plasmonic waveguides made of a thin metal stripe surrounded on one or both sides by a Kerr nonlinear medium. Using an iterative numerical method, we investigate the stationary long-range plasmons that exist for self-focusing and self-defocusing Kerr-type nonlinearities. The solutions are similar to the wellknown case of infinitely wide nonlinear waveguides-they are strongly power-dependent and can experience symmetry-breaking bifurcations under appropriate conditions.

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Section: Linear Substrate Self-focusing Claddingmentioning

confidence: 99%

Section: Linear Substrate Self-focusing Claddingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Nonlinear long-range plasmonic waveguides

Degiron

Smith

2010

Phys. Rev. A

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“…Therefore, it is essential to use an efficient and accurate computational scheme to properly design nonlinear waveguide components and integrated optical circuits. Most studies use the FEM [10][11][12][13] or the FEM-based imaginary-distance beam propagation method (IDBPM) [14,15] to obtain the power dispersion relation of nonlinear channel waveguides. Recently, the pseudospectral method (PSM) [16], which expands the mode fields by Lagrange-type orthogonal basis functions, has shown that fast convergence and high-order accuracy are possible for solving the mode characteristics of the linear permittivity response of many optical and plasmonic waveguides [17][18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Analysis of long-range surface plasmon polaritons in nonlinear plasmonic waveguides using pseudospectral method

Huang¹

2012

Opt. Express

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A full-vectorial pseudospectral method is reported for solving the mode characteristics of nonlinear dielectric and plasmonic waveguides. The coupled equations are formulated in terms of transverse magnetic-field components, and self-consistent solutions are obtained through an iterative procedure. The proposed scheme applies in a saturable medium with biaxial anisotropy of practical interest. The accuracy and efficiency of this scheme are demonstrated by solving the mode bistability of a nonlinear dielectric optical waveguide, analyzed by the well-known finite-element-method-based imaginary-distance beam propagation method. Furthermore, the relationship between geometry and input power is studied by analyzing the power dispersion curve of the long-range surface plasmon polariton modes of a nonlinear plasmonic waveguide.

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A scalar finite element analysis of nonlinear optical channel waveguides using isoparametric elements

Niiyama

Koshiba

Tsuji

1995

Electron Comm Jpn Pt II

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With a view to increasing the efficiency of the scalar finite element for nonlinear optical channel waveguides, triangular isoparametric elements are introduced. In addition, the numerical integration formula by Hammer et al. is used for the integration needed for deriving the element matrix. The numerical analysis is carried out for the nonlinear optical fibers. It is confirmed that accurate solutions can be obtained by the present method with a small‐size calculation. Also, the analysis of a nonlinear graded channel optical waveguide is carried out for the first time. The effect of the refractive index profile of the substrate on the optical power dependence of the effective index of the guided mode is investigated.

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Full vectorial simulation of bistability phenomena in nonlinear-optical channel waveguides

Cited by 14 publications

References 10 publications

Nonlinear long-range plasmonic waveguides

Nonlinear long-range plasmonic waveguides

Analysis of long-range surface plasmon polaritons in nonlinear plasmonic waveguides using pseudospectral method

A scalar finite element analysis of nonlinear optical channel waveguides using isoparametric elements

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