Singular Optics: more ado about nothing

Dennis, Mark R.; Kivshar, Yuri S.; Soskin, M. S.; Swartzlander, Grover A.

doi:10.1088/1464-4258/11/9/090201

Cited by 32 publications

(31 citation statements)

References 37 publications

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“…beams with a helical wavefront, have been investigated in various contexts for many years (cf. the Editorial [82] for a recent overview of publications on 'Singular Optics'). In optical micromanipulation, phase holograms with a helical phase profile proportional to e i`ϕ , where`is the helical index and ϕ is the angular polar coordinate, are used to create Gauss-Laguerre beams, which carry orbital angular momentum [83][84][85] and can be used to trap low-index particles [86,87].…”

Section: Spiral Phase Filtermentioning

confidence: 99%

“…In optical micromanipulation, phase holograms with a helical phase profile proportional to e i`ϕ , where`is the helical index and ϕ is the angular polar coordinate, are used to create Gauss-Laguerre beams, which carry orbital angular momentum [83][84][85] and can be used to trap low-index particles [86,87]. When used for direct imaging (not in a Fourier plane), the singularity at the center of an optical vortex can effectively scatter light away from the center, which has been used to build a coronagraph [82,88].…”

Section: Spiral Phase Filtermentioning

confidence: 99%

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What spatial light modulators can do for optical microscopy

Maurer¹,

Jesacher²,

Bernet³

et al. 2010

Laser & Photonics Reviews

428

219

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With the availability of high-resolution miniature spatial light modulators (SLMs) new methods in optical microscopy have become feasible. The SLMs discussed in this review consist of miniature liquid crystal displays with micronsized pixels that can modulate the phase and/or amplitude of an optical wavefront. In microscopy they can be used to control and shape the sample illumination, or they can act as spatial Fourier filters in the imaging path. Some of these applications are reviewed in this article. One of them, called spiral phase contrast, generates isotropic edge enhancement of thin phase samples or spiral-shaped interference fringes for thicker phase samples, which can be used to reconstruct the phase topography from a single on-axis interferogram. If SLMs are used for both illumination control and spatial Fourier filtering, this combination for instance allows for the generalization of the Zernike phase contrast principle. The new SLM-based approach improves the effective resolution and avoids some shortcomings and artifacts of the traditional method. The main advantage of SLMs in microscopy is their flexibility, as one can realize various operation modes in the same setup, without the need for changing any hardware components, simply by electronically switching the phase pattern displayed on the SLMs.

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Section: Spiral Phase Filtermentioning

confidence: 99%

Section: Spiral Phase Filtermentioning

confidence: 99%

What spatial light modulators can do for optical microscopy

Maurer¹,

Jesacher²,

Bernet³

et al. 2010

Laser & Photonics Reviews

428

219

View full text Add to dashboard Cite

show abstract

“…Vortices and vortex solitons are ubiquitous in many branches of sciences such as hydrodynamics, superfluid, high-energy physics, laser and optical systems, and Bose-Einstein condensates [1,2]. In optics, optical vortices are phase singularities embedded in electromagnetic waves, and the intensity in a singularity point vanishes due to the undetermined phase.…”

Section: Introductionmentioning

confidence: 99%

Experiments on Linear and Nonlinear Localization of Optical Vortices in Optically Induced Photonic Lattices

Song

Lou

Tang

et al. 2012

International Journal of Optics

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We provide a brief overview on our recent experimental work on linear and nonlinear localization of singly charged vortices (SCVs) and doubly charged vortices (DCVs) in two-dimensional optically induced photonic lattices. In the nonlinear case, vortex propagation at the lattice surface as well as inside the uniform square-shaped photonic lattices is considered. It is shown that, apart from the fundamental (semi-infinite gap) discrete vortex solitons demonstrated earlier, the SCVs can self-trap into stable gap vortex solitons under the normal four-site excitation with a self-defocusing nonlinearity, while the DCVs can be stable only under an eight-site excitation inside the photonic lattices. Moreover, the SCVs can also turn into stable surface vortex solitons under the four-site excitation at the surface of a semi-infinite photonics lattice with a self-focusing nonlinearity. In the linear case, bandgap guidance of both SCVs and DCVs in photonic lattices with a tunable negative defect is investigated. It is found that the SCVs can be guided at the negative defect as linear vortex defect modes, while the DCVs tend to turn into quadrupole-like defect modes provided that the defect strength is not too strong.

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“…Vortices and vortex solitons exist in many branches of sciences such as hydrodynamics, laser and optical systems, high energy physics, coherent matter waves and Bose-Einstein condensates [1,2]. In optics, for instance, the term 'optical vortex' was introduced for a phase singularity in an optical wave two decades ago [3], and, since then, optical vortices have been a subject of great interest in linear and nonlinear optics.…”

Section: Introductionmentioning

confidence: 99%

Self-trapping and stabilization of doubly-charged optical vortices in two-dimensional photonic lattices

Eugenieva

Song

Bezryadina

et al. 2010

Journal of Modern Optics

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We report our recent work on self-trapping of doubly-charged vortices (DCVs) in two-dimensional optically induced photonic lattices. We show that in an ideal isotropic nonlinear periodic medium self-trapping of a DCV can lead to formation of a rotating 'quasi-vortex' soliton with periodic charge-flipping, but the vortex breaks up into multiple singly-charged vortices in an anisotropic nonlinear medium. Such topological transformation of high-order vortices under conventional four-site excitation in a square photonic lattice has been observed in our experiment and corroborated with numerical simulations. With geometrically extended eight-site excitation, however, discrete self-trapping of a DCV into a stable high-order vortex soliton can be realized with both self-focusing and self-defocusing nonlinearities.We are pleased to contribute this article in honor to and memory of Lorenzo Narducci who remains a source of personal and professional inspiration. Ever clear in his explanations as a teacher and colleague, he was also exemplary in his inclusion of each new student, post-doc, and faculty colleague. Though not an experimentalist, he dedicated himself to understanding experiments and experimental results and matching many of them in his theoretical and computational analyses. He reached out to share his passion for laser physics and quantum optics to colleagues around the world where he was welcomed with warmth which he reciprocated. We treasure his legacy of incisive questions, derivations from first principles, and dedication to physical understanding. We regret that we will not benefit from his questions and critiques in this and future work.

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Singular Optics: more ado about nothing

Cited by 32 publications

References 37 publications

What spatial light modulators can do for optical microscopy

What spatial light modulators can do for optical microscopy

Experiments on Linear and Nonlinear Localization of Optical Vortices in Optically Induced Photonic Lattices

Self-trapping and stabilization of doubly-charged optical vortices in two-dimensional photonic lattices

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