Waveguide structures with antisymmetric gain/loss profile

Čtyroký, Jiřı́; Kuzmiak, Vladimír; Eyderman, Sergey

doi:10.1364/oe.18.021585

Cited by 66 publications

(58 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The most promising features of PTSC are to be sought in the singular nature of the critical point (also called exceptional point) whereby a small change of gain/loss causes a quick evolution of the eigenvalues from the real to the imaginary axis [4][5][6][7][8][9]. The generic possibility for achieving an abrupt switching with a modest variation of the combined gain/loss in the vicinity of the critical gain point was further substantiated in our recent work [10,11].…”

Section: Pt Symmetry Switching Operation Principlementioning

confidence: 82%

Using PT-symmetry in plasmonic systems for switching and dynamic memory applications

Lupu

Bénisty

Degiron

2013

2013 7th International Congress on Advanced Electromagnetic Materials in Microwaves and Optics

View full text Add to dashboard Cite

-We address the potential of a coupled plasmonic waveguides system with gain featuring a PT symmetry configuration for the realization of switching and dynamic memory applications based on a non-reciprocal modal behavior. The possibility for a perfect switching operation in such a nonconservative layout combining loss and gain is demonstrated. The positive role of losses allowing to lower the total amount of gain required for switching is particularly emphasized.

show abstract

Section: Pt Symmetry Switching Operation Principlementioning

confidence: 82%

Using PT-symmetry in plasmonic systems for switching and dynamic memory applications

Lupu

Bénisty

Degiron

2013

2013 7th International Congress on Advanced Electromagnetic Materials in Microwaves and Optics

View full text Add to dashboard Cite

show abstract

“…Figure 2 shows profiles of solutions of both the KK and KA types at > 0 and < 0. For the KK complexes, we display the central part of the φ and ψ components and compare them to the perturbative prediction given by Equation (50); for the KA modes, we display both components only in numerical form, as an analytical solution of perturbative Equation (51) is not available.…”

Section: Stationary Kk and Ka Solutions And Stability Equationsmentioning

confidence: 99%

A PT -Symmetric Dual-Core System with the Sine-Gordon Nonlinearity and Derivative Coupling

2016

View full text Add to dashboard Cite

Abstract:As an extension of the class of nonlinear P T -symmetric models, we propose a system of sine-Gordon equations, with the P T symmetry represented by balanced gain and loss in them. The equations are coupled by sine-field terms and first-order derivatives. The sinusoidal coupling stems from local interaction between adjacent particles in coupled Frenkel-Kontorova (FK) chains, while the cross-derivative coupling, which was not considered before, is induced by three-particle interactions, provided that the particles in the parallel FK chains move in different directions. Nonlinear modes are then studied in this system. In particular, kink-kink (KK) and kink-anti-kink (KA) complexes are explored by means of analytical and numerical methods. It is predicted analytically and confirmed numerically that the complexes are unstable for one sign of the sinusoidal coupling and stable for another. Stability regions are delineated in the underlying parameter space. Unstable complexes split into free kinks and anti-kinks that may propagate or become quiescent, depending on whether they are subject to gain or loss, respectively.

show abstract

“…Modes propagation will be either amplified or attenuated. Note that such PT-phase transition corresponding to first EP (E p1 ) could take place for both TE and TM polarizations with either SC or dielectric cladding [29]. Surprisingly, further increase of gain/loss strength results in restoration of PT symmetry phase beyond a second EP (E p2 ) and purely two real modes reappear at τ 2 < τ < τ 3 .…”

mentioning

confidence: 91%

Electrical tunability due to coalescence of exceptional points in parity-time symmetric waveguides

Wang

Dong

et al. 2017

Opt. Lett.

View full text Add to dashboard Cite

We demonstrate theoretically the electric tunability due to coalescence of exceptional points in PT-symmetric waveguides bounded by imperfect conductive layers. Owing to the competition effect of multimode interaction, multiple exceptional points and PT phase transitions could be attained in such a simple system and their occurrences are strongly dependent on the boundary conductive layers. When the conductive layers become very thin, it is found that the oblique transmittance and reflectance of the same system can be tuned between zero and one by a small change in carrier density. The results may provide an effective method for fast tuning and modulation of optical signals through electrical gating. PACS numbers:A wide class of non-Hermitian Hamiltonians with parity-time (PT) symmetric complex potentials have been extensively studied since Bender et al. [1,2] showed such systems can exhibit purely real spectra. By tuning the degree of non-Hermiticity, PT-symmetric systems may experience an abrupt phase transition between PTsymmetric phase with a real spectrum and PT-broken phase with a complex spectrum. The transition point is called the exceptional point (EP), at which two or more eigenvalues coincide. The existence of EPs have been investigated in various types of PT-symmetric physical systems [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19], giving rise to a wide range of counterintuitive wave phenomena, such as loss-induced transparency [3], nonreciprocal Bloch oscillation [4], unidirectional invisibility [5][6][7], coexisting coherent perfect absorption and lasing [8,9], enhanced spontaneous emission [10], and enhanced nano-particle sensing [11].Recently, there has been strong interest in more complex phenomena closely related to the occurrence of EPs in multistate systems and high-order EPs [10,[20][21][22][23][24][25][26][27]. Multiple optical waveguide systems [20,21] and photonic crystals [10,22] have been proposed for the realization of high-order EPs. For example, Ding et al. [22] demonstrated theoretically two different kinds of EP evolution process in one-dimensional PT-symmetric photonic crystals. One type is the occurrence of a ring of EPs, leading to the restoration behavior of PT symmetry phase. Another type is the coalescence of EPs to form high-order singularity. Zhen et al. [23] observed experimentally that a ring of EPs could be supported near a Dirac-like cone in a two-dimensional photonic crystal slab. Also, the emergence and interaction of multiple EPs have been studied in a four-state acoustic system [24], exhibiting richer physical behaviors than those seen in two-state systems.Taking the advantage of the abrupt change near an EP, one may tune the properties of a system drastically by a small change in certain parameters. However, previous studies on evolution process of EPs and various types of phase transitions, are mostly on tuning by geometrical parameters. In this Letter, we demonstrate that the PTsymmetric plasmonic waveguide bounded by imperfect conducting materials...

show abstract

Waveguide structures with antisymmetric gain/loss profile

Cited by 66 publications

References 8 publications

Using PT-symmetry in plasmonic systems for switching and dynamic memory applications

Using PT-symmetry in plasmonic systems for switching and dynamic memory applications

A PT -Symmetric Dual-Core System with the Sine-Gordon Nonlinearity and Derivative Coupling

Electrical tunability due to coalescence of exceptional points in parity-time symmetric waveguides

Contact Info

Product

Resources

About