Shape-Preserving Accelerating Electromagnetic Wave Packets in Curved Space

Bekenstein, Rivka; Nemirovsky, Jonathan; Kaminer, Ido; Segev, Mordechai

doi:10.1103/physrevx.4.011038

Cited by 51 publications

(53 citation statements)

References 55 publications

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“…Such nonparaxial accelerating beams were demonstrated experimentally soon thereafter [15][16][17] . Likewise, several other types of accelerating beams, such as Weber and Mathieu beams, were discovered [18][19][20] , as well as nonlinear paraxial [21][22][23][24] and nonparaxial 16,25 accelerating beams, and even accelerating beams in curved space 26 . All of these beams exhibit similar featuresdiffractionless propagation, transverse acceleration and selfhealing, which allows the beam to rebuild itself after going through partial blocking or distortion.…”

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confidence: 99%

Loss-proof self-accelerating beams and their use in non-paraxial manipulation of particles’ trajectories

et al. 2014

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Self-accelerating beams-shape-preserving bending beams-are attracting great interest, offering applications in many areas such as particle micromanipulation, microscopy, induction of plasma channels, surface plasmons, laser machining, nonlinear frequency conversion and electron beams. Most of these applications involve light-matter interactions, hence their propagation range is limited by absorption. We propose loss-proof accelerating beams that overcome linear and nonlinear losses. These beams, as analytic solutions of Maxwell's equations with losses, propagate in absorbing media while maintaining their peak intensity. While the power such beams carry decays during propagation, the peak intensity and the structure of their main lobe region are maintained over large distances. We use these beams for manipulation of particles in fluids, steering the particles to steeper angles than ever demonstrated. Such beams offer many additional applications, such as loss-proof selfbending plasmons. In transparent media these beams show exponential intensity growth, which facilitates other novel applications in micromanipulation and ignition of nonlinear processes.

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confidence: 99%

Loss-proof self-accelerating beams and their use in non-paraxial manipulation of particles’ trajectories

et al. 2014

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“…Experimentally it can be realized by covering a thin layer of waveguide on surface [27]. In the latest decade various concepts have been reconsidered and reported, such as solitons [28], evolution of speckle pattern [29], spatially accelerating wave packets following nongeodesic trajectories [30,31], topological phases in curved space photonic lattices [32], phase and group velocity of wave packets [33], Wolf effect of light spectrum [34,35], etc. Specially, in a pioneering work [26], Schrödinger equation for linear propagation on curved space with constant Gaussian curvature is derived, which is in essence the wave equation under paraxial approximation, and one of whose solutions is the fundamental notion in optics, Gaussian beam.…”

Section: Introductionmentioning

confidence: 99%

Gouy and spatial-curvature-induced phase shifts of light in two-dimensional curved space

Wang

2019

New J. Phys.

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Gouy phase is the axial phase anomaly of converging light waves discovered over one century ago, and is so far widely studied in various systems. In this work, we have theoretically calculated Gouy phase of light beams in both paraxial and nonparaxial regime on two-dimensional curved surface by generalizing angular spectrum method. We find that curvature of surface will also introduce an extra phase shift, which is named as spatial curvature-induced (SCI) phase. The behaviors of both phase shifts are illustrated on two typical surfaces of revolution, circular truncated cone and spherical surface. Gouy phase evolves slower on surface with greater spatial curvature on circular truncated cone, which is however opposite on spherical surface, while SCI phase evolves faster with curvature on both surfaces. On circular truncated cone, both phase shifts approach to a limit value along propagation, which does not happen on spherical surface due to the existence of singularity on the pole. An interpretation is presented to explain this peculiar phenomenon. Finally we also provide the analytical expression of paraxial Gaussian beam on general SORs. By comparing the result with the exact method we find the analytical expression is valid under the approximation that beam waist and scale of surface are beyond order of wavelength. We expect this work will enhance the comprehension about the behavior of electromagnetic wave in curved space, and further contribute to the study of general relativity phenomena in laboratory.

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“…Dynamics of electromagnetic waves on curved surfaces was carried out in optics about a decade ago [29]. Since then light in curved space has been investigated in various systems [30][31][32][33][34][35][36][37][38][39][40]. For example, wave packets propagating along nongeodesic trajectories on surfaces of revolution (SOR), demonstrating the interaction between curvature and interference effect, is studied both theoretically and experimentally [32,33].…”

Section: Introductionmentioning

confidence: 99%

Generalization of Wolf effect of light on arbitrary two-dimensional surface of revolution

Xu¹,

Abbas²,

Wang³

2018

Opt. Express

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Investigation of physics on two-dimensional curved surface has significant meaning in study of general relativity, inasmuch as its realizability in experimental analogy and verification of faint gravitational effects in laboratory. Several phenomena about dynamics of particles and electromagnetic waves have been explored on curved surfaces. Here we consider Wolf effect, a phenomenon of spectral shift due to the fluctuating nature of light fields, on an arbitrary surface of revolution (SOR).The general expression of the propagation of partially coherent beams propagating on arbitrary SOR is derived and the corresponding evolution of light spectrum is also obtained. We investigate the extra influence of surface topology on spectral shift by defining two quantities, effective propagation distance and effective transverse distance, and compare them with longitudinal and transverse proper lengths. Spectral shift is accelerated when the defined effective quantities are greater than real proper lengths, and vice versa. We also employ some typical SORs, cylindrical surfaces, conical surfaces, SORs generated by power function and periodic peanut-shell shapes, as examples to provide concrete analyses. This work generalizes the research of Wolf effect to arbitrary SORs, and provides a universal method for analyzing properties of propagation compared with that in flat space for any SOR whose topology is known.

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Shape-Preserving Accelerating Electromagnetic Wave Packets in Curved Space

Cited by 51 publications

References 55 publications

Loss-proof self-accelerating beams and their use in non-paraxial manipulation of particles’ trajectories

Loss-proof self-accelerating beams and their use in non-paraxial manipulation of particles’ trajectories

Gouy and spatial-curvature-induced phase shifts of light in two-dimensional curved space

Generalization of Wolf effect of light on arbitrary two-dimensional surface of revolution

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