Shaping of light beams along curves in three dimensions

Rodrigo, José A.; Alieva, Tatiana; Abramochkin, Eugeny; Castro, Izan

doi:10.1364/oe.21.020544

Cited by 133 publications

(100 citation statements)

References 19 publications

(25 reference statements)

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“…Furthermore, optical beams that are governed by a swallowtail catastrophe were observed in [48]. Using a different approach that does not rely on the use of caustics or of an extended focus, paraxial shaping of light in three-dimensions is presented by superimposing multiple Gaussian beams along an arbitrary curve [49].…”

Section: Other Classes Of Paraxial Accelerating Wavesmentioning

confidence: 99%

Airy beams and accelerating waves: an overview of recent advances

Efremidis¹,

Chen²,

Segev³

et al. 2019

Optica

400

149

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Over the last dozen of years, the area of accelerating waves has made considerable advances not only in terms of fundamentals and experimental demonstrations but also in connection to a wide range of applications. Starting from the prototypical Airy beam that was proposed and observed in 2007, new families of accelerating waves have been identified in the paraxial and nonparaxial domains in space and/or time, with different methods developed to control at will their trajectory, amplitude, and beam width. Accelerating optical waves exhibit a number of highly desirable attributes. They move along a curved or accelerating trajectory while being resilient to perturbations (self-healing), and, are diffraction-free. It is because of these particular features that accelerating waves have been utilized in a variety of applications in the areas of filamentation, beam focusing, particle manipulation, biomedical imaging, plasmons, and material processing among others.

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Section: Other Classes Of Paraxial Accelerating Wavesmentioning

confidence: 99%

Airy beams and accelerating waves: an overview of recent advances

Efremidis¹,

Chen²,

Segev³

et al. 2019

Optica

400

149

View full text Add to dashboard Cite

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“…Roichman et al proved that an optical line trap with uniform intensity and gradient phase can transfer particles along the optical line automatically owing to the optical forces arising from the phase gradient of the beam [10]. Since control of both the amplitude and phase of an optical beam is important for many applications, researchers proposed various algorithms to beam shape the complex amplitude of an arbitrary optical beam [11][12][13][14][15][16][17]. For example, non-iterative algorithms were proposed to generate a beam whose intensity and phase were prescribed along arbitrary 3D curves [12,13].…”

Section: Introductionmentioning

confidence: 99%

“…Since control of both the amplitude and phase of an optical beam is important for many applications, researchers proposed various algorithms to beam shape the complex amplitude of an arbitrary optical beam [11][12][13][14][15][16][17]. For example, non-iterative algorithms were proposed to generate a beam whose intensity and phase were prescribed along arbitrary 3D curves [12,13]. Rigorous approaches were also proposed to directly calculate phase-only distributions of DOEs for beam shaping of complex-amplitudes of output beams [14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Beam shaping of complex amplitude with separate constraints on the output beam

Tao¹,

Yu²

2015

Opt. Express

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We present a beam shaping technique in controlling the complex amplitude of an optical beam. The constraint on the amplitude of the output beam in the Gerchberg-Saxton algorithm is replaced with constraints both on the amplitude and phase of the output beam in the proposed method. The total areas of the constrained regions and free regions on the complex amplitude of the output beam in the proposed method are maintained. An output beam with arbitrary complex amplitude can be realized with the proposed method. The computing result from the proposed method is a phase-only distribution, which can be fabricated as diffractive optical element for higher diffraction efficiency. Both simulations and experiments are present and the effectiveness of the proposed method is verified.

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“…It is shown that the generated self‐accelerating vortex beam follows the predesigned parabolic trajectory and exhibits the diffraction‐free behaviors. Unlike the traditional self‐accelerating beam with only one main lobe along the predesigned trajectory, this self‐accelerating vortex beam has the doughnut‐like vortex core moving along the trajectory. Figure c is the transverse intensity profiles at four different propagation distances of z = 30 µm (p1), z = 60 µm (p2), z = 140 µm (p3), and z = 170 µm (p4) for the self‐acceleration TC inversion beam with parabolic trajectory.…”

Section: Resultsmentioning

confidence: 99%

Topological Charge Inversion of Optical Vortex with Geometric Metasurfaces

Zhang

Gao

Yang

2019

Advanced Optical Materials

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dynamic TC inversion has been realized with the noncanonical optical vortex by using an astigmatic lens, [15,16] showing the OAM is a superposition of LG modes with different charges and the OAM mode density can be dynamically redistributed across the beam. In this case, the total OAM value is kept constant, but the local OAM mode density is changed. However, this method to generate TC inversion of optical vortex requires the noncanonical phase distribution and the conversion from an astigmatic lens, which increases the optical system complexity and also limits the photonic chip integration. Besides, the generated TC inversion beam has an irregular intensity profile and it is hard to control the transmutation point and beam propagation trajectory.Recently, plasmonic metasurfaces made of nanoantenna arrays in ultrathin metallic films have provided a powerful and functional platform for tailoring the phase, intensity, and polarization of light. [17][18][19] The transmission efficiency of plasmonic metasurfaces is relatively low due to the large ohmic loss of metal. In order to solve this problem, dielectric metasurfaces made of silicon or titanium oxide have been considered to manipulate light with ultrahigh efficiency. [20][21][22] In particular, geometric metasurfaces can be engineered to generate well-defined Pancharatnam-Berry geometric phase profiles in a broad wavelength range, [23][24][25][26][27] for building on-chip wavefront shaping devices such as optical vortex generators, [28][29][30][31][32] flat optical lenses, [33][34][35][36][37][38] compact wave plates, [39][40][41][42] and multiplexed holograms. [43][44][45][46][47] In addition, holographic free-electron light source based on plasmonic metasurfaces has been realized for generation of visible to near-infrared vortex beams. [48] In this work, the TC inversion of optical vortex beam is demonstrated along the beam propagation direction by using the ultrathin plasmonic metasurfaces constructed from nanoslit antenna arrays with the geometric phase profiles designed from the principle of caustic surface. Compared to the previous work, the proposed approach to realize TC inversion of optical vortex provides the controllable optical vortex transformation along an arbitrary beam trajectory. Besides, only a single metasurface with compact size is utilized to realize the TC inversion, which is convenient for integration into optical systems. The detailed TC inversion evolution process is observed including the predesigned transmutation point in a broad wavelength range. The dynamic redistribution of OAM mode density between the central area of r < 10 µm and the surrounding The topological charge (TC) inversion of optical vortex is demonstrated along the beam propagation direction by using plasmonic geometric metasurfaces with the initial wave fronts designed from the principle of caustic surface. The detailed TC inversion evolution process is observed together with the transmutation point where the vortex vanishes. The orbital angular momentum (OAM) mode dis...

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Shaping of light beams along curves in three dimensions

Cited by 133 publications

References 19 publications

Airy beams and accelerating waves: an overview of recent advances

Airy beams and accelerating waves: an overview of recent advances

Beam shaping of complex amplitude with separate constraints on the output beam

Topological Charge Inversion of Optical Vortex with Geometric Metasurfaces

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