Transverse laser patterns. I. Phase singularity crystals

Brambilla, Massimo; Battipede, F.; Lugiato, L. A.; Penna, Vittorio; Prati, Franco; Tamm, Chr.; Weiß, C. O.

doi:10.1103/physreva.43.5090

Cited by 337 publications

(154 citation statements)

References 31 publications

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“…1.3), some works have treated the problem of vortex formation in resonators. As mentioned above, the early studies of these fascinating objects [15][16][17][18][19] strongly stimulated interest in studies of pattern formation in general. The existence of vortices indicates indirectly the analogy between optics and hydrodynamics [22,[47][48][49].…”

Section: Localized Structures: Vortices and Solitonsmentioning

confidence: 99%

“…This equation, however, has a limited validity, since it is not able to predict spontaneous pattern formation: the laser patterns usually appear when the cavity is blue-detuned. Depending on the cavity aperture, higher-order transverse modes [17] or tilted waves [21] can be excited in the blue-detuned resonator.…”

Section: Historical Surveymentioning

confidence: 99%

“…The simplest patterns generated by a laser, which can be interpreted as locked transverse modes of a resonator with curved mirrors. From [17], c 1991 American Physical Society in [11], is just a very simple model equation for lasers with spatial degrees of freedom. Next, attempts were made to derive a more precise order parameter equation for a laser [15,20], which led to an equation valid for the red detuning limit.…”

Section: Historical Surveymentioning

confidence: 99%

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Transverse Patterns in Nonlinear Optical Resonators

Staliūnas

Sánchez‐Morcillo

2003

Springer Tracts in Modern Physics

172

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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Section: Localized Structures: Vortices and Solitonsmentioning

confidence: 99%

Section: Historical Surveymentioning

confidence: 99%

Section: Historical Surveymentioning

confidence: 99%

See 1 more Smart Citation

Transverse Patterns in Nonlinear Optical Resonators

Staliūnas

Sánchez‐Morcillo

2003

Springer Tracts in Modern Physics

172

156

View full text Add to dashboard Cite

show abstract

“…Such regular structures are well understood theoretically, their description being based on field expansions over the modal Gauss-Laguerre functions prescribed by the cylindrical geometry, and the theory being in reasonable agreement with experiments for lasers, e.g. for CO 2 and Na 2 lasers [11][12][13][14][15][16][17], and for active nonlinear media, as the photorefractive Bi 12 SiO 20 crystal pumped by a laser [18][19][20]. Similar structures also arise in many passive nonlinear media, such as a Kerr medium [20].…”

Section: Turbulent Photon Filamentationmentioning

confidence: 99%

“…While for the low-Fresnel-number regime, with regular optical structures, a good theoretical understanding was achieved [11][12][13][14][15][16][17][18][19][20], for the high-Fresnel-number regime of the turbulent photon filamentation, there has been no persuasive theory developed. This problem was addresses in Refs.…”

Section: Turbulent Photon Filamentationmentioning

confidence: 99%

Probabilistic approach to pattern selection

Yukalov

2001

Physica A: Statistical Mechanics and its Applications

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The problem of pattern selection arises when the evolution equations have many solutions, whereas observed patterns constitute a much more restricted set. An approach is advanced for treating the problem of pattern selection by defining the probability distribution of patterns. Then the most probable pattern naturally corresponds to the largest probability weight. This approach provides the ordering principle for the multiplicity of solutions explaining why some of them are more preferable than other. The approach is applied to solving the problem of turbulent photon filamentation in resonant media.

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Arbitrary Multifunctional Vortex Beam Designed by Deep Neural Network

Peng

Liu

Dai

et al. 2023

Advanced Optical Materials

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As topological charge constitutes an infinite‐dimensional Hilbert space, vortex beam has numerous applications in optical communications and other fields where signal capacity is a vital requirement. Multifunctional vortex beams, showing up to different controllable responses subjected to separate combinations of polarization states, have significantly exhibited improved capacity of signal transport. Relying on prior physical knowledge, complex requirement brings tremendous challenge to the design of multifunctional vortex beams. Here, a deep‐learning‐based platform for designing metasurfaces is proposed, which can intelligently generate predesigned multifunctional vortex beams. Employing the proposed strategy, the demonstrations of bifunctional and trifunctional vortex beams are consistent with the design targets. Three samples are fabricated and measured by a Michelson interferometer. Clear observed interference patterns revealed the topological nature of the generated vortex beams, unambiguously justifying the design platform. This intelligent design strategy, which may inspire new ideas in other scientific fields, lays a solid foundation for the high‐performance application of multifunctional vortex beams. This work fully exploits the potential of vortex beams for large‐scale dense data communication and quantum optics with high quantum numbers, which may further promote the development of the integrated photonic chip.

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Transverse laser patterns. I. Phase singularity crystals

Cited by 337 publications

References 31 publications

Transverse Patterns in Nonlinear Optical Resonators

Transverse Patterns in Nonlinear Optical Resonators

Probabilistic approach to pattern selection

Arbitrary Multifunctional Vortex Beam Designed by Deep Neural Network

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