Self-switching of light in a directional coupler

Maĭer, A. A.

doi:10.1070/qe1984v014n01abeh004646

Cited by 58 publications

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“…These equations are reminiscent of the system of two weakly coupled nonlinear waveguides [14]. However, there are two essential peculiarities in the plasmon-soliton equations: (i) only one subsystem is nonlinear; (ii) the coupling coefficient depends on the soliton amplitude.…”

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confidence: 99%

Resonant plasmon-soliton interaction

Bliokh

Ferrando

2009

Phys. Rev. A

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We describe an effective resonant interaction between two localized wave modes of different nature: a plasmon-polariton at a metal surface and a self-focusing beam (spatial soliton) in a non-linear dielectric medium. Propagating in the same direction, they represent an exotic coupled-waveguide system, where the resonant interaction is controlled by the soliton amplitude. This non-linear system manifests hybridized plasmon-soliton eigenmodes, mutual conversion, and non-adiabatic switching, which offer exciting opportunities for manipulation of plasmons via spatial solitons.

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confidence: 99%

Resonant plasmon-soliton interaction

Bliokh

Ferrando

2009

Phys. Rev. A

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“…These fundamental solutions are useful to develop applications in classical and quantum fields such as all-optical modulation of light and quantum-states engineering.The nonlinear directional coupler (NDC) is a core device in integrated optics. Its potential was first demonstrated in χ (3) materials as an all-optical switch [1,2]. This and other interesting functionalities were later displayed in the χ (2) NDC through cascaded second-order effects [3][4][5][6][7].…”

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confidence: 99%

“…In general the ubiquitous χ (2) nonlinear directional coupler, where nonlinearity and evanescent coupling are intertwined, is nonintegrable. We rigorously demonstrate that matching excitation to the even or odd fundamental supermodes yields dynamical analytical solutions for any phase matching in a symmetric coupler.…”

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Symmetry-based analytical solutions to the χ(2) nonlinear directional coupler

Barral¹,

Bencheikh²,

Olver³

et al. 2019

Phys. Rev. E

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In general the ubiquitous χ (2) nonlinear directional coupler, where nonlinearity and evanescent coupling are intertwined, is nonintegrable. We rigorously demonstrate that matching excitation to the even or odd fundamental supermodes yields dynamical analytical solutions for any phase matching in a symmetric coupler. We analyze second harmonic generation and optical parametric amplification regimes and study the influence of fundamental fields parity and power on the operation of the device. These fundamental solutions are useful to develop applications in classical and quantum fields such as all-optical modulation of light and quantum-states engineering.The nonlinear directional coupler (NDC) is a core device in integrated optics. Its potential was first demonstrated in χ (3) materials as an all-optical switch [1,2]. This and other interesting functionalities were later displayed in the χ (2) NDC through cascaded second-order effects [3][4][5][6][7]. In the last years the χ (2) NDC has found a flourishing field of application: quantum optics [8]. Its key strengths in quantum information processing as a source of entangled photons and entangled field quadratures have been demonstrated and are still actively explored [9][10][11][12][13][14]. In general the χ (2) NDC is a nonintegrable system and only stationary solutions -solitonsare available [15][16][17]. Even in this case, general solutions are only obtained numerically or in a semianalytical form [18]. The dynamical solutions of the χ (2) NDC have nonetheless a broad range of applications in the classical and quantum regimes [3][4][5][6][8][9][10][11][12][13][14]. Two limiting cases only have up to now been identified as integrables, i.e. with analytical dynamical solutions: (i) The propagation equations can be reduced to those related to the simpler χ (3) NDC when the phase mismatch between the fundamental and second harmonic waves propagating in the device is large, which corresponds to a regime of lower efficiency [16]. (ii) The undepleted harmonic-field approximation in spontaneous parametric downconversion linearizes the propagation equations [8].Analytical solutions are universally preferred since they can be used to contemplate new applications and engineer the propagation of both classical and quantum light in these devices. In this paper, we rigorously retrieve analytical solutions for the χ (2) NDC for -any-phase matching under specific symmetry conditions: pumping in the even or odd fundamental supermode. We show indeed that the propagation equations are analogous to those related to a single χ (2) nonlinear waveguide with imperfect phase matching. We show that in the NDC case the effective coupling plays the role of the wavevector phase mismatch in the emblematic single waveguide [20]. We can thus analyze second harmonic

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“…The linear and nonlinear guiding properties of defects imprinted in such shallow lattices have been extensively discussed [7][8][9]. In particular, the possibility of linear directional bandgap coupling, which leads to periodic energy switching between defects akin to switching between the cores in conventional directional couplers [10][11][12][13][14][15], was put forward for one-dimensional lattices with low-index defects [9]. Nonlinear effects have been studied 1…”

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Nonlinear switching of low-index defect modes in photonic lattices

Kartashov

Vysloukh

et al. 2008

Phys. Rev. A

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We address nonlinear signal switching between two low-index defect channels induced in periodic optical lattices. In contrast to conventional directional couplers, where the guiding mechanism is total internal reflection or refraction, in such Bragg-type coupler, the guidance is of a photonic-bandgap origin. The coupling length in the low-index coupler is controlled by the lattice parameters and by the channel spacing. In the nonlinear regime the Bragg-type coupler behaves as an all-optical switch, exhibiting a remarkable difference of switching power for focusing versus defocusing nonlinearity.PACS numbers: 42.65.Tg, 42.65.Jx, 42.65 Attention has typically focused on high-contrast refractive-index structures. More recently, low-contrast optically induced nonlinear PCF-like structures were introduced [5]. Importantly, in such low-contrast lattices light gets localized due to distributed Bragg-type backscattering, which involves at least a few lattice periods. This is in contrast to high-contrast microstructured geometries where anti-resonant reflecting mechanism frequently dominates and the transmission spectrum is determined by the index contrast and the thickness of the first high-index layer rather than by the lattice period [6]. The linear and nonlinear guiding properties of defects imprinted in such shallow lattices have been extensively discussed [7][8][9]. In particular, the possibility of linear directional bandgap coupling, which leads to periodic energy switching between defects akin to switching between the cores in conventional directional couplers [10][11][12][13][14][15], was put forward for one-dimensional lattices with low-index defects [9]. Nonlinear effects have been studied 1

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Self-switching of light in a directional coupler

Cited by 58 publications

References 0 publications

Resonant plasmon-soliton interaction

Resonant plasmon-soliton interaction

Symmetry-based analytical solutions to the χ(2) nonlinear directional coupler

Nonlinear switching of low-index defect modes in photonic lattices

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