Complete energy conversion by autoresonant three-wave mixing in nonuniform media

Yaakobi, Oded; Caspani, Lucia; Clerici, Matteo; Vidal, François; Morandotti, Roberto

doi:10.1364/oe.21.001623

Cited by 32 publications

(36 citation statements)

References 22 publications

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“…Over the years, various theoretical and experimental studies have shown that in many systems, the SHG conversion efficiency and bandwidth could be increased by varying the properties of the medium along the direction of the waves propagation [4][5][6][7][8]. Similar conclusions were obtained in other parametric processes, e.g., two-step third-harmonic generation [9], three-wave mixing (TWM) in the undepleted pump regime [10][11][12], and also TWM and four-wave mixing (FWM) where pump-depletion was taken into account [13][14][15].…”

Section: Introductionsupporting

confidence: 54%

“…At this point it is worth comparing the results that were obtained through our analysis of autoresonant SHG in a nonuniform medium with other autoresonant wave-mixing processes in nonuniform media that were previously studied, namely TWM and FWM [14,15]. A common feature to all these three autoresonant processes is the improvement of the conversion efficiency as the nonuniformity rate jαj decreases.…”

Section: Stability Of the Phase-locked Solutionmentioning

confidence: 77%

“…The simple explicit criteria (derived in Appendix A) that are necessary for achieving highly efficient autoresonant SHG are a valuable tool for that purpose. We stress again that these practical design criteria differ from the corresponding criteria in a TWM process in nonuniform media (see [14]), and cannot be derived from them.…”

Section: Discussionmentioning

confidence: 95%

“…Moreover, we define the conditions in which the conversion efficiency could be improved, eventually leading to complete pump depletion. It should be emphasized that these conditions differ from the corresponding criteria in a TWM process in nonuniform media (see [14]) and cannot be derived from them as some sort of a specific degenerate case. We show that the dynamics of the considered system could be explained in terms of the autoresonance effect.…”

Section: Introductionmentioning

confidence: 93%

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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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Section: Introductionsupporting

confidence: 54%

Section: Stability Of the Phase-locked Solutionmentioning

confidence: 77%

Section: Discussionmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 93%

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

et al. 2013

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“…It is based on an analogy between the dynamics of a two-level atomic system induced by coherent light, and the processes of SFG/DFG in the undepleted pump approximation [7,8]. The use of adiabatic phase-matching techniques to perform efficient population transfer in multilevel systems has been well established over the years [9][10][11][12][13][14][15][16][17]. It was shown in a series of experimental demonstrations that adiabatic schemes are very attractive in nonlinear optics because they are robust to small changes in parameters that affect the phase evolution of the process [10,11,14,15].…”

mentioning

confidence: 99%

Broadband photon pair generation at 3ω/2

et al. 2016

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where the amount generated in each color is dependent on the phase mismatch value of the process and the length of the nonlinear interaction between the waves [4]. By definition, SPDC is a nonlinear process in which the frequencies of the photon pairs are lower than that of the pump wave. For this reason, conventional generation of photon pairs in the visible optical regime typically requires ultraviolet pump frequencies. The use of ultraviolet light in such schemes is very challenging because of the large phase mismatch between the waves, resulting in very poor conversion efficiency. Furthermore, several highly efficient nonlinear crystals-LiNbO 3 and KTiOPO 4 -are opaque in the ultraviolet range and therefore cannot be used.One way to overcome such difficulties is to perform SPDC followed by an upconversion process that allows for frequency conversion of light from near-infrared to visible. In addition, nonlinear frequency conversion of photon pairs provides a wavelength flexibility that is important for many applications, including the realization of practical quantum communication networks [5]. Yet, as the generation of SPDC spectra typically spans a large bandwidth, the conventional approach of optical upconversion in a nonlinear device fails due to the narrowband nature of the frequencyconversion process in a perfect phase-matched interaction [1, 6]. Thus, for broadband photon pair generation, the total nonlinear efficiency of such sequential processes is commonly quite poor. However, it is possible to tradeoff efficiency for high phase-matching bandwidth by using carefully designed QPM crystals. But owing to the high dispersion of most quasi-phase-matched crystals, which increases significantly in the visible regime, the required width of the QPM pattern for phase-matching compensation is very small and is currently beyond the limits of most fabrication methods.Abstract We experimentally demonstrate a method for creating broad bandwidth photon pairs in the visible spectral region, centered at a frequency that is higher than that of the initial pump source. Spontaneous down conversion of a narrowband 1053 nm pulsed Nd:YLF laser is followed by highly efficient upconversion in adiabatic nonlinear frequency-conversion process. Photon pairs are generated from 693 to 708 nm, and the complete conversion process occurs within a single monolithic 5-cm-long stoichiometric lithium tantalate nonlinear crystal. We have characterized the dependence of this structure with respect to pump intensity and crystal temperature.Spontaneous parametric down conversion (SPDC) plays a key role in nonlinear and quantum optics as it enables amplification of broadband, tunable light in optical parametric oscillators and the reliable generation of entangled photon pairs [1,2]. SPDC originates from the stimulation of random vacuum fluctuations, induced by a strong pump in a optical parametric generation (OPG) process [3]. In this process, the pump photon at ω p spontaneously splits into two photons, the signal at ω 1 and the idler at ω ...

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Adiabatic processes in frequency conversion

Suchowski

Porat

Arie

2013

Laser & Photonics Reviews

143

103

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Adiabatic evolution, an important dynamical process in a variety of classical and quantum systems providing a robust way of steering a system into a desired state , was introduced only recently to frequency conversion . Adiabatic frequency conversion allowed the achievement of efficient scalable broadband frequency conversion and was applied successfully to the conversion of ultrashort pulses, demonstrating near‐100% efficiency for ultrabroadband spectrum . The underlying analogy between undepleted pump nonlinear processes and coherently excited quantum systems was extended in the past few years to multi‐level quantum systems, demonstrating new concepts in frequency conversion, such as complete frequency conversion through an absorption band . Additionally, the undepleted pump restriction was removed, enabling the exploration of adiabatic processes in the fully nonlinear dynamics regime of nonlinear optics . In this article, the basic concept of adiabatic frequency conversion is introduced, and recent advances in ultrashort physics, multi‐process systems, and the fully nonlinear dynamics regime are reviewed.

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Complete energy conversion by autoresonant three-wave mixing in nonuniform media

Cited by 32 publications

References 22 publications

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

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

Broadband photon pair generation at 3ω/2

Adiabatic processes in frequency conversion

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