Discrete dissipative localized modes in nonlinear magnetic metamaterials

Rosanov, N. N.; Vysotina, N. V.; Shatsev, A. N.; Shadrivov, Ilya; Powell, David A.; Kivshar, Yuri S.

doi:10.1364/oe.19.026500

Cited by 24 publications

(30 citation statements)

References 18 publications

(24 reference statements)

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confidence: 99%

“…1). The SRRs are coupled magnetically and/or electrically through dipole-dipole forces [13][14][15][16] and are regarded as RLC circuits, featuring a resistance R, an inductance L, and a capacitance C. Early realizations of nonlinear metamaterial elements employed a varicap diode [17]; subsequently several types of diodes have been employed to demonstrate single tunable elements [18,19] and metamaterials [20]. For constructing active metamaterials, the incorporation of constituents that provide gain through external energy sources is a promising technique [21].…”

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confidence: 99%

“…In the equivalent circuit model picture [16,[26][27][28], ex-tended for the PT dimer chain, the dynamics of the charge q n in the capacitor of the nth SRR is governed by…”

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Gain-Driven Discrete Breathers inPT-Symmetric Nonlinear Metamaterials

2013

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We introduce a one dimensional parity-time (PT )-symmetric nonlinear magnetic metamaterial consisting of split-ring dimers having both gain and loss. When nonlinearity is absent we find a transition between an exact to a broken PT -phase; in the former the system features a two band gapped spectrum with shape determined by the gain and loss coefficients as well as the inter-unit coupling. In the presence of nonlinearity we show numerically that as a result of the gain/dissipation matching a novel type of long-lived stable discrete breathers can form below the lower branch of the band with no attenuation. In these localized modes the energy is almost equally partitioned between two adjacent split rings on the one with gain and the other one with loss.PACS numbers: 63.20. Pw, 11.30.Er, 78.67.Pt Considerable research effort has recently focused in the investigation and developement of artificial materials that exhibit properties not found in nature. In the electromagnetic domain, these advances resulted in the construction of metamaterials, novel artificial structures that provide full access to all four quadrants of the real permittivity -permeability plane [1]. Recently, there has been increasing interest in synthetic materials with a combined parity -time (PT ) symmetry. Although quantum systems described by PT −symmetric Hamiltonians have been studied for many years ([2] and refs. therein), it was only recently realized that many classical systems are PT −symmetric [3]. Subsequently, the notion of PT symmetry has been extended to dynamical lattices, particularly in optics [4,5]. Soon after that, PT −symmetry breaking was experimentally observed [6][7][8]. Such considerations have been also extended in nonlinear lattices, where the existence of stable discrete solitons [9] and Talbot effects [10] was theoretically demonstrated.Among recent developements in PT −symmetric materials, the application of these ideas in electronic circuits [11] not only provides a platform for testing the new ideas within the framework of easily accessible experimental configurations, but also provides a link to metamaterials. Conventional, metallic metamaterials suffer from high losses that hamper their use in practical applications. However, building metamaterials with PT symmetry, relying on gain and loss, may provide a way out and moreover lead to new extraordinary properties. It is shown that PT −symmetric metamaterials undergo spontaneous symmetry breaking from the exact PT phase (real eigenfrequencies) to the broken PT phase (at least a pair of complex eigenfrequencies), with variation of the gain/loss coefficient. In the presence of nonlinearity, the generation of long-lived excitations in the form of discrete breathers (DBs) [12] is demonstrated numerically in metamaterial models. These novel gain-driven DBs, generated either by proper intialization of the PT metamaterial or purely dynamically through external driving, result from power matching of the input power through the gain mechanism and internal loss.SRR with Loss ...

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Gain-Driven Discrete Breathers inPT-Symmetric Nonlinear Metamaterials

2013

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“…Various nonlinear localization effects such as solitons [35][36][37] and domain walls 38,39 have been studied theoretically, in particular in the context of metamaterials with nonlinear inclusions such as varactor diodes 40 . Recently, the concept of magnetoelastic metamaterials was introduced to describe a new generation of nonlinear metamaterials 41 .…”

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Spontaneous chiral symmetry breaking in metamaterials

et al. 2014

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Spontaneous chiral symmetry breaking underpins a variety of areas such as subatomic physics and biochemistry, and leads to an impressive range of fundamental phenomena. Here we show that this prominent effect is now available in artificial electromagnetic systems, enabled by the advent of magnetoelastic metamaterials where a mechanical degree of freedom leads to a rich variety of strong nonlinear effects such as bistability and self-oscillations. We report spontaneous symmetry breaking in torsional chiral magnetoelastic structures where two or more meta-molecules with opposite handedness are electromagnetically coupled, modifying the system stability. Importantly, we show that chiral symmetry breaking can be found in the stationary response of the system, and the effect is successfully demonstrated in a microwave pump-probe experiment. Such symmetry breaking can lead to a giant nonlinear polarization change, energy localization and mode splitting, which provides a new possibility for creating an artificial phase transition in metamaterials, analogous to that in ferrimagnetic domains.

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“…Addressing to a similar model applied to investigation of kinks in arrays of split-ring resonators coupled only through near field4445, we find that long-range interaction splits branches with positive and zero velocities for and extends the range of intensities for stationary kinks to the lower threshold of the bistability area. In addition, a near-field model does not distinguish the structure of the kinks with positive and negative velocities; while our model taking into account coupling via all dipole fields indicates a dramatic change in kink width when the velocity sign is changed (see above).…”

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Oscillons, solitons and domain walls in arrays of nonlinear plasmonic nanoparticles

Noskov

Belov

Kivshar

2012

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The study of metal nanoparticles plays a central role in the emerging novel technologies employing optics beyond the diffraction limit. Combining strong surface plasmon resonances, high intrinsic nonlinearities and deeply subwavelength scales, arrays of metal nanoparticles offer a unique playground to develop novel concepts for light manipulation at the nanoscale. Here we suggest a novel principle to control localized optical energy in chains of nonlinear subwavelength metal nanoparticles based on the fundamental nonlinear phenomenon of modulation instability. In particular, we demonstrate that modulation instability can lead to the formation of long-lived standing and moving nonlinear localized modes of several distinct types such as bright and dark solitons, oscillons, and domain walls. We analyze the properties of these nonlinear localized modes and reveal different scenarios of their dynamics including transformation of one type of mode to another. We believe this work paves a way towards the development of nonlinear nanophotonics circuitry.

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Discrete dissipative localized modes in nonlinear magnetic metamaterials

Cited by 24 publications

References 18 publications

Gain-Driven Discrete Breathers inPT-Symmetric Nonlinear Metamaterials

Gain-Driven Discrete Breathers inPT-Symmetric Nonlinear Metamaterials

Spontaneous chiral symmetry breaking in metamaterials

Oscillons, solitons and domain walls in arrays of nonlinear plasmonic nanoparticles

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