Optical Pattern Formation

Lugiato, L. A.; Brambilla, Massimo; Gatti, A.

doi:10.1016/s1049-250x(08)60114-7

Cited by 138 publications

(76 citation statements)

References 220 publications

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“…The possibility of quantum correlations between light beams has played a major role in the recent development of quantum optics. In particular the spatial aspects of correlations of quantum optical fluctuations have been the object of several studies (see for example [1,2,3,4,5,6]) and have several new and promising applications such as quantum holography [7], the quantum teleportation of optical images [8], and the measurements of small displacements beyond the Rayleigh limit [9]. An overview of this relatively new branch of quantum optics, defined as quantum imaging, can be found in [10].…”

Section: Introductionmentioning

confidence: 99%

Quantum spatial correlations in high-gain parametric down-conversion measured by means of a CCD camera

Jedrkiewicz

Brambilla

Bache

et al. 2006

Journal of Modern Optics

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We consider travelling-wave parametric down-conversion in the high-gain regime and present the experimental demonstration of the quantum character of the spatial fluctuations in the system. In addition to showing the presence of sub-shot noise fluctuations in the intensity difference, we demonstrate that the peak value of the normalized spatial correlations between signal and idler lies well above the line marking the boundary between the classical and the quantum domain. This effect is equivalent to the apparent violation of the Cauchy-Schwartz inequality, predicted by some of us years ago, which represents a spatial analogue of photon antibunching in time. Finally, we analyse numerically the transition from the quantum to the classical regime when the gain is increased and we emphasize the role of the inaccuracy in the determination of the symmetry center of the signal/idler pattern in the far-field plane.

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Section: Introductionmentioning

confidence: 99%

Quantum spatial correlations in high-gain parametric down-conversion measured by means of a CCD camera

Jedrkiewicz

Brambilla

Bache

et al. 2006

Journal of Modern Optics

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“…This topic has already been reviewed in a number of works [2][3][4][5][6][7][8][9][10]. We treat the problem here by means of a description of the optical resonators by order parameter equations, reflecting the universal properties of optical pattern formation.…”

Section: Introductionmentioning

confidence: 99%

Transverse Patterns in Nonlinear Optical Resonators

Staliūnas

Sánchez‐Morcillo

2003

Springer Tracts in Modern Physics

176

156

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This book is devoted to the formation and dynamics of localized structures (vortices, solitons) and of extended patterns (stripes, hexagons, tilted waves) in nonlinear optical resonators such as lasers, optical parametric oscillators, and photorefractive oscillators. Theoretical analysis is performed by deriving order parameter equations, and also through numerical integration of microscopic models of the systems under investigation. Experimental observations, and possible technological implementations of transverse optical patterns are also discussed. A comparison with patterns found in other nonlinear systems, i.e. chemical, biological, and hydrodynamical systems, is given.

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“…In particular, a great deal of attention has been devoted to cavity-assisted nonlinear transverse effects, such as pattern formation [4] and spatial soliton generation [5]. More recently the quantum aspects of these phenomena have begun to be studied, mainly at the theoretical level, under the general name of "quantum imaging", especially in planar or confocal cavities.…”

Section: Introductionmentioning

confidence: 99%

Multimode squeezing properties of a confocal optical parametric oscillator: Beyond the thin-crystal approximation

et al. 2005

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Up to now, transverse quantum effects (usually labelled as "quantum imaging" effects) which are generated by nonlinear devices inserted in resonant optical cavities have been calculated using the "thin crystal approximation", i.e. taking into account the effect of diffraction only inside the empty part of the cavity, and neglecting its effect in the nonlinear propagation inside the nonlinear crystal. We introduce in the present paper a theoretical method which is not restricted by this approximation. It allows us in particular to treat configurations closer to the actual experimental ones, where the crystal length is comparable to the Rayleigh length of the cavity mode. We use this method in the case of the confocal OPO, where the thin crystal approximation predicts perfect squeezing on any area of the transverse plane, whatever its size and shape. We find that there exists in this case a "coherence length" which gives the minimum size of a detector on which perfect squeezing can be observed, and which gives therefore a limit to the improvement of optical resolution that can be obtained using such devices.

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Optical Pattern Formation

Cited by 138 publications

References 220 publications

Quantum spatial correlations in high-gain parametric down-conversion measured by means of a CCD camera

Quantum spatial correlations in high-gain parametric down-conversion measured by means of a CCD camera

Transverse Patterns in Nonlinear Optical Resonators

Multimode squeezing properties of a confocal optical parametric oscillator: Beyond the thin-crystal approximation

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