Characteristics of the dynamics of transverse field structures in a Fabry-Perot interferometer with a Kerr nonlinear medium

Balkarei, Yu. I.; Evtikhov, M. G.; Elinson, M. I.; Kogan, A. S.; Posvyanskiǐ, V. S.

doi:10.1070/qe1995v025n07abeh000435

Quantum Electron.

1995

DOI: 10.1070/qe1995v025n07abeh000435

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Characteristics of the dynamics of transverse field structures in a Fabry-Perot interferometer with a Kerr nonlinear medium

Yu. I. Balkarei¹,

M. G. Evtikhov²,

M. I. Elinson³

et al.

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“…In this paper, we restrict ourselves to this regime. Generally speaking, a great variety of light dynamics can be observed [10,16]. Concerning bistability, it has been shown that diffraction gives rise to transverse instability in one of the two branches of the plane wave bistable regime [8].…”

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confidence: 99%

Bilateral Symmetry Breaking in a Nonlinear Fabry-Pérot Cavity Exhibiting Optical Tristability

1999

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We show the existence of a region in the parameter space that defines the field dynamics in a Fabry-Pérot cylindrical cavity, where three output stable stationary states of the light are possible for a given localized incident field. Two of these states do not preserve the bilateral (i.e., left-right) symmetry of the entire system. These broken-symmetry states are the high-transmission nonlinear modes of the system. We also discuss how to excite these states.

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Bilateral Symmetry Breaking in a Nonlinear Fabry-Pérot Cavity Exhibiting Optical Tristability

1999

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Transformations of transverse field structures in a bistable Fabry — Perot interferometer

et al. 1997

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Nonlinear structures in a wide-aperture semiconductor interferometer when stimulated recombination is important

1999

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We study the Horndeski vector-tensor theory that leads to second order equations of motion and contains a non-minimally coupled abelian gauge vector field. This theory is remarkably simple and consists of only 2 terms for the vector field, namely: the standard Maxwell kinetic term and a coupling to the dual Riemann tensor. Furthermore, the vector sector respects the U(1) gauge symmetry and the theory contains only one free parameter, M 2 , that controls the strength of the non-minimal coupling. We explore the theory in a de Sitter spacetime and study the presence of instabilities and show that it corresponds to an attractor solution in the presence of the vector field. We also investigate the cosmological evolution and stability of perturbations in a general FLRW spacetime. We find that a sufficient condition for the absence of ghosts is M 2 > 0. Moreover, we study further constraints coming from imposing the absence of Laplacian instabilities. Finally, we study the stability of the theory in static and spherically symmetric backgrounds (in particular, Schwarzschild and Reissner-Nordström-de Sitter). We find that the theory, quite generally, do have ghosts or Laplacian instabilities in regions of spacetime where the non-minimal interaction dominates over the Maxwell term. We also calculate the propagation speed in these spacetimes and show that superluminality is a quite generic phenomenon in this theory.

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Characteristics of the dynamics of transverse field structures in a Fabry-Perot interferometer with a Kerr nonlinear medium

Cited by 3 publications

References 1 publication

Bilateral Symmetry Breaking in a Nonlinear Fabry-Pérot Cavity Exhibiting Optical Tristability

Bilateral Symmetry Breaking in a Nonlinear Fabry-Pérot Cavity Exhibiting Optical Tristability

Transformations of transverse field structures in a bistable Fabry — Perot interferometer

Nonlinear structures in a wide-aperture semiconductor interferometer when stimulated recombination is important

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