Theory of a lossless nonlinear Fabry-Perot interferometer

Marburger, John H.; Felber, F. S.

doi:10.1103/physreva.17.335

Cited by 277 publications

(88 citation statements)

References 10 publications

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“…The results of the numerical simulations [ Fig. 2(c),(f)] reproduce quantitatively the features observed in the experiment: at low pump intensities, there is just a linear interference whereas when interactions become significant, the sinusoid transforms into a soliton train, more precisely an elliptic function shape [24], as first discussed in [30] and [31].…”

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confidence: 62%

Phase-Controlled Bistability of a Dark Soliton Train in a Polariton Fluid

et al. 2016

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We use a one-dimensional polariton fluid in a semiconductor microcavity to explore the rich nonlinear dynamics of counter-propagating interacting Bose fluids. The intrinsically driven-dissipative nature of the polariton fluid allows to use resonant pumping to impose a phase twist across the fluid. When the polariton-polariton interaction energy becomes comparable to the kinetic energy, linear interference fringes transform into a train of solitons. A novel type of bistable behavior controlled by the phase twist across the fluid is experimentally evidenced.Dark solitons are among the fundamental nonlinear collective excitations of one-dimensional (1D) quantum degenerate fluids with positive mass and repulsive interactions. They are characterized by a dip in a uniform background density and a jump in the macroscopic phase across it. The shape and size of the dip is given by the interplay of mass and nonlinearity. Because of the universality of the mechanisms necessary to their formation, dark solitons have been observed in a wide variety of systems ranging from Bose-Einstein condensates of cold atoms [1][2][3], optical fibers [4], to thin magnetic films [5]. Interestingly, dark solitons have also been observed in nonlinear open-dissipative systems, in particular, in semiconductor microcavities [6][7][8][9] and are attracting great interest in view of photonic applications [10].Semiconductor microcavities have recently appeared as an excellent platform to study the nonlinear dynamics of interacting Bose fluids in a photonic context [11]. Their elementary excitations are exciton-polaritons, bosonic quasiparticles arising from the strong coupling between quantum well excitons and photons confined in the microcavity. While their excitonic component provides significant repulsive interactions, the fast escape of photons out of the microcavity makes polaritons an intrinsically open-dissipative system, requiring continuous wave pumping to achieve a steady state. A number of quantum fluid effects have been studied in semiconductor microcavities, including superfluidity [12], diffusive Goldstone modes [13], Bogoliubov excitation spectrum [14], solitary bright waves [15,16], and the hydrodynamic nucleation of quantized vortices [17,18] and dark solitons [7,8].In addition to the possibility of in-situ and timeresolved imaging of the fluid dynamics, a remarkable feature of driven-dissipative systems is that a resonant drive allows setting the local phase of the wavefunction [11]. It is then possible to externally manipulate the boundary conditions and impose a controlled phase pattern across a polariton fluid. This was first explored in a two-dimensional polariton condensate in which a spatial vortex phase profile was imposed on the polariton field, resulting in persistent currents with high orbital momentum [19]. This technique opens up a new world for the exploration of the elementary excitations of polariton quantum fluids. In particular, it has been proposed that by imposing a phase twist across the fluid via the external...

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confidence: 62%

Phase-Controlled Bistability of a Dark Soliton Train in a Polariton Fluid

et al. 2016

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“…Conventional optical bistability devices consist of Fabry-Perot (FP) resonators filled with non-linear media [34][35][36]. To be able to sustain proper FP modes to provide the necessary feedback mechanism that amplifies the input signal, the optical thicknesses of the resonator must be at least of the order of the operating wavelength or the input signal must be prohibitively strong [37].…”

Section: Enhancement Of the Non-linear Optical Effectsmentioning

confidence: 99%

Fractal plasmonic metamaterials: physics and applications

Tang¹,

He²,

Xiao³

et al. 2015

Nanotechnology Reviews

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Abstract:We review our recent works on a particular type of metamaterials (MTMs), which are metallic plates drilled with periodic arrays of subwavelength apertures typically in fractal-like complex shapes. We first show that such MTMs can well mimic plasmonic metals in terms of surface plasmon properties, but with plasmon resonances solely dictated by their aperture geometries rather than the constitutional materials. We then develop an effective-medium description for such plasmonic MTMs based on the mode expansion theory. Based on these theoretical understandings, we show that such MTMs exhibit several interesting applications, such as superlensing, hyperlensing, and enhancing light-matter interactions, which are demonstrated by microwave experiments or full-wave simulations.

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“…wherez = k 0 z is the dimesionless length and p 2z± are the normalized (to k 0 ) propagation constants for the forward and the backward waves, given by [21,24] …”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…Recall that NCMT is based on the slowly varying envelope approximation and has proved to be very effective in easy probing of the nonlinear effects in a variety of situations like weak photon localization [19], gap solitons in periodic structures [20], optical bistability with FabryPerot or the surface modes [16,[21][22][23]. In the frame work of such a theory the field in the nonlinear medium is expressed as a superposition of forward and backward propagating waves, albeit with power-dependent propagation constants [21,24] …”

Section: Formulation Of the Problemmentioning

confidence: 99%

Light-controlled perfect absorption of light

Reddy

Gupta

2013

Opt. Lett.

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We study coherent perfect absorption (CPA) of light in a Kerr nonlinear metal-dielectric composite medium, illuminated from the opposite ends. Elementary symmetry considerations reveal that equality of the incident light intensities is a prerequisite to ensure CPA in both linear and nonlinear systems for specific system parameters. We also derive the sufficient conditions for having CPA. We further show that while CPA in a linear system is insensitive to the incident power level, that in a nonlinear system can be achieved only for discrete intensities with interesting hysteretic response. Our unified formulation of CPA and waveguiding identifies them as opposite scattering phenomena. We further investigate light-induced CPA in on-and off-resonant systems.

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Theory of a lossless nonlinear Fabry-Perot interferometer

Cited by 277 publications

References 10 publications

Phase-Controlled Bistability of a Dark Soliton Train in a Polariton Fluid

Phase-Controlled Bistability of a Dark Soliton Train in a Polariton Fluid

Fractal plasmonic metamaterials: physics and applications

Light-controlled perfect absorption of light

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