Spatial Hysteresis and Optical Patterns

Rosanov, N. N.

doi:10.1007/978-3-662-04792-7

Cited by 343 publications

(318 citation statements)

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“…The theories of moving fronts (which are also named "switching waves") and soliton formation in a driven nonlinear cavity can be found in Rosanov's work as well as some review articles [42]- [44]. In our experiments and simulations, the fronts are formed due to the modulational instability enabled by mode interaction.…”

Section: mentioning

confidence: 78%

“…This process is usually accompanied by growing of the primary comb lines and wave breaking [45]. When two fronts are close to each other, they may be trapped by each other to generate stable localized structures [42]- [44]. Our experimental and simulation results show that the physics of switching waves and dark solitons is highly relevant for the generation of broadband mode-locked microresonator combs especially in the normal dispersion regime.…”

Section: mentioning

confidence: 89%

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Mode-locked dark pulse Kerr combs in normal-dispersion microresonators

et al. 2015

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Kerr frequency combs from microresonators are now extensively investigated as a potentially portable technology for a variety of applications. Most studies employ anomalous dispersion microresonators that support modulational instability for comb initiation, and mode-locking transitions resulting in coherent bright soliton-like pulse generation have been reported. However, some experiments show comb generation in normal dispersion microresonators; simulations suggest the formation of dark pulse temporal profiles. Excitation of dark pulse solutions is difficult due to the lack of modulational instability in the effective blue-detuned pumping region; an excitation pathway has been demonstrated neither in experiment nor in simulation. Here we report experiments in which dark pulse combs are formed by mode-interaction-aided excitation; for the first time, a mode-locking transition is observed in the normal dispersion regime. The excitation pathway proposed is also supported by simulations.Microresonator-based optical frequency combs, also termed Kerr combs, are generated through conversion of a single pump frequency to a broadband frequency comb inside a high-quality-factor (Q) microresonator via the third-order Kerr nonlinearity [1]- [10]. The advantages of Kerr combs include very compact size, high repetition rate, and capability of generating ultra-broad combs.The dynamics of Kerr comb generation have attracted intense investigations since the first demonstration of the method [11]-[28]. It has been found that Kerr combs are not always coherent [11]-[12] and may be characterized by high intensity noise [13]-[14]; furthermore, lack of coherence and high intensity noise are generally correlated. Experiments have revealed transitions from low coherence, high noise states to highly coherent mode-locked states accompanied by a sudden drop in the comb noise [14]- [18]. It has been found in simulations and experiments that the mode locking of broadband Kerr combs is usually related to soliton formation in the cavity [15], [17]-[28]. These dissipative cavity solitons are localized structures stabilized by a balance between Kerr nonlinearity and dispersion. In time domain they exist as bright or dark pulses, depending on whether the cavity dispersion is anomalous or normal, respectively. Bright microresonator solitons in the anomalous dispersion region have been observed in experiments and well studied through simulations [15], [17]-[27]. Reference [17] reported a method of tuning the pump laser frequency to an effectively red-detuned regime (pump laser wavelength longer than resonant wavelength) which is typically difficult to achieve due to thermal instability [29]. Mode-locking transitions yielding bright solitons were observed after passage through a broadband chaotic state [17]. In contrast, although dark solitons have been predicted in normal dispersion microresonators in 2 / 32 2 / 32 theory and simulation [27]-[28], investigating dark solitons experimentally is extremely difficult and no time-domain char...

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Section: mentioning

confidence: 78%

Section: mentioning

confidence: 89%

Mode-locked dark pulse Kerr combs in normal-dispersion microresonators

et al. 2015

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“…On the contrary, the presence of an external field leads to the formation of dissipative solitons whose phase is locked to this external forcing in the second case, whose paradigmatic and first model is the Lugiato-Lefever equation 14 . In spite of this important difference 15 , the dissipative solitons observed in all of these systems are in most cases explained by a double compensation of dispersion (or diffraction) by Kerr nonlinearity and losses and gain 11,12,15,16 .…”

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confidence: 99%

Topological solitons as addressable phase bits in a driven laser

et al. 2015

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Optical localized states are usually defined as self-localized bistable packets of light, which exist as independently controllable optical intensity pulses either in the longitudinal or transverse dimension of nonlinear optical systems. Here we demonstrate experimentally and analytically the existence of longitudinal localized states that exist fundamentally in the phase of laser light. These robust and versatile phase bits can be individually nucleated and canceled in an injection-locked semiconductor laser operated in a neuron-like excitable regime and submitted to delayed feedback. The demonstration of their control opens the way to their use as phase information units in next-generation coherent communication systems. We analyse our observations in terms of a generic model, which confirms the topological nature of the phase bits and discloses their formal but profound analogy with Sine-Gordon solitons.

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“…The motion can be induced by the vorticity [28,29], by finite relaxation rates [30][31][32], phase gradient [33], so-called Ising-Bloch transition [34][35][36], by walk-off or convection or by the symmetry breaking due to off-axis feedback [37][38][39][40][41], or even by resonator detuning [42]. This subject is relatively well understood (see overviews on that issue [43][44][45][46][47][48][49][50][51][52][53][54]). So far, however, the inclusion of the delayed feedback in the dynamics of spatially extended systems is a relatively new area of research [55,56].…”

Section: Introductionmentioning

confidence: 99%

Spontaneous motion of localized structures and localized patterns induced by delayed feedback

et al. 2010

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Abstract.We study the properties of 2D dissipative structures in a coherently driven optical resonator subjected to a delayed feedback. It has been predicted that delayed feedback can lead to the spontaneous motion of bright localized structures [M. Tlidi et al., Phys. Rev. Lett. 103, 103904 (2009)]. We study here the phenomenon in detail. In particular, we show that the delayed feedback induces a spontaneous motion of periodic patterns and dark localized structures. We focus our analysis on nascent optical bistability regime where the space time dynamics is described by a variational Swift-Hohenberg equation. In the absence of delayed feedback, dark localized structures and patterns do not move. This behavior occurs when the product of the delay time and the feedback strength exceeds some critical value.

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Spatial Hysteresis and Optical Patterns

Cited by 343 publications

References 0 publications

Mode-locked dark pulse Kerr combs in normal-dispersion microresonators

Mode-locked dark pulse Kerr combs in normal-dispersion microresonators

Topological solitons as addressable phase bits in a driven laser

Spontaneous motion of localized structures and localized patterns induced by delayed feedback

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