Autoresonant Dynamics of Optical Guided Waves

Barak, Ami; Lamhot, Yuval; Frièdland, L.; Segev, Mordechai

doi:10.1103/physrevlett.103.123901

Cited by 32 publications

(40 citation statements)

References 22 publications

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“…(12) and (13) subject to the initial conditions A 1 (0) = 1 and A 2 (0) = 0. Autoresonance in this system of coupled nonlinear Schrödinger (NLS) equations was first studied for mode conversion problems in plasmas [29] and later for a nonlinear optics application [30]. Thus, many characteristic features of the autoresonant evolution of magnetization can now be studied using the results of these earlier works.…”

Section: Analogy With a Two-level Systemmentioning

confidence: 97%

Autoresonant switching of the magnetization in single-domain nanoparticles: Two-level theory

et al. 2015

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The magnetic moment of a single-domain nanoparticle can be effectively switched on an ultrashort time scale by means of oscillating (microwave) magnetic fields. This switching technique can be further improved by using fields with time-dependent frequency (autoresonance). Here, we provide a full theoretical framework for the autoresonant switching technique, by exploiting the analogy between the magnetization state of an isolated nanoparticle and a two-level quantum system, whereby the switching process can be interpreted as a population transfer. We derive analytical expressions for the threshold amplitude of the microwave field, with and without damping, and consider the effect of thermal fluctuations. Comparisons with numerical simulations show excellent agreement.

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Section: Analogy With a Two-level Systemmentioning

confidence: 97%

Autoresonant switching of the magnetization in single-domain nanoparticles: Two-level theory

et al. 2015

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“…Some applications focused on autoresonant two-and three-wave mixing [9][10][11][12] with plasma applications in mind. Recently, autoresonant interaction was also studied in optics in spatially chirped nonlinear directional coupler experiments (a two-wave mixing process [13]). A unique feature of autoresonance is the need of a nonuniformity in the system, but, at the same time, its insensitivity to the exact form of the nonuniformity, as long as the latter is sufficiently adiabatic.…”

Section: Introductionmentioning

confidence: 99%

Autoresonant four-wave mixing in optical fibers

Yaakobi

Frièdland

2010

Phys. Rev. A

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A theory of autoresonant four-wave mixing in tapered fibers is developed in application to optical parametric amplification (OPA). In autoresonance, the interacting waves (two pump waves, a signal, and an idler) stay phase-locked continuously despite variation of system parameters (spatial tapering). This spatially extended phase-locking allows complete pump depletion in the system and uniform amplification spectrum in a wide frequency band. Different aspects of autoresonant OPA are described including the automatic initial phaselocking, conditions for autoresonant transition, stability, and spatial range of the autoresonant interaction.

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“…Utilizing autoresonance in wave-mixing processes allows to transfer energy between one type of wave or mode in the system to another with very high conversion efficiency. The attractive advantages of autoresonant wave mixing have already been demonstrated in additional processes to those mentioned above, e.g., two-wave interaction in nonlinear optics [16,17] and stimulated Raman scattering in plasmas [18][19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Complete pump depletion by autoresonant second harmonic generation in a nonuniform medium

et al. 2013

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In this paper, we develop for the first time to our knowledge an analytical theory of second harmonic generation (SHG) in a generic nonuniform χ 2 medium. It is shown that by varying the properties of the medium gradually enough, the system can enter an autoresonant state in which the phases of the fundamental pump and of the generated second harmonic wave are locked. The effect of autoresonance allows efficient transfer of energy between the waves and, due to the continuous phase-locking in the system, all the energy of the pump could be converted to the second harmonic. Simple closed-form expressions for the waves amplitudes as a function of the longitudinal coordinate are derived, and an explicit criterion for the stability of the autoresonant state is obtained. Our analytical theory is compared to the numerical solution of the coupled mode equations, which are found to be in excellent agreement with each other. The analytical closed-form expressions that we derive could be very useful for practical design of SHG devices with increased performances, such as highly efficient, wideband frequency converters.

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Autoresonant Dynamics of Optical Guided Waves

Cited by 32 publications

References 22 publications

Autoresonant switching of the magnetization in single-domain nanoparticles: Two-level theory

Autoresonant switching of the magnetization in single-domain nanoparticles: Two-level theory

Autoresonant four-wave mixing in optical fibers

Complete pump depletion by autoresonant second harmonic generation in a nonuniform medium

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