scholarly journals Complex 3D Vortex Lattice Formation by Phase-Engineered Multiple Beam Interference

2012 ◽  
Vol 2012 ◽  
pp. 1-9 ◽  
Author(s):  
Jolly Xavier ◽  
Sunil Vyas ◽  
Paramasivam Senthilkumaran ◽  
Joby Joseph
Keyword(s):  
Relative Phase ◽  
Vortex Lattice ◽  
Plane Waves ◽  
Lattice Structures ◽  
Computational Results ◽  
Vortex Lattices ◽  
Relative Phase Shift ◽  
Lattice Formation ◽  
Multiple Plane ◽  
Analytical Tools

We present the computational results on the formation of diverse complex 3D vortex lattices by a designed superposition of multiple plane waves. Special combinations of multiples of three noncoplanar plane waves with a designed relative phase shift between one another are perturbed by a nonsingular beam to generate various complex 3D vortex lattice structures. The formation of complex gyrating lattice structures carrying designed vortices by means of relatively phase-engineered plane waves is also computationally investigated. The generated structures are configured with both periodic as well as transversely quasicrystallographic basis, while these whirling complex lattices possess a long-range order of designed symmetry in a given plane. Various computational analytical tools are used to verify the presence of engineered geometry of vortices in these complex 3D vortex lattices.

Tailored complex 3D vortex lattice structures by perturbed multiples of three-plane waves

2012 ◽  
Vol 51 (12) ◽  
pp. 1872 ◽  
Author(s):  
Jolly Xavier ◽  
Sunil Vyas ◽  
Paramasivam Senthilkumaran ◽  
Joby Joseph
Keyword(s):  
Vortex Lattice ◽  
Plane Waves ◽  
Lattice Structures

scholarly journals Systematically Investigating the Structural Variety of Crystalline and Kaleidoscopic Vortex Lattices by Using Laser Beam Arrays

2021 ◽  
Vol 11 (17) ◽  
pp. 8018
Author(s):  
Chengshang Chen ◽  
Yuhan Fang ◽  
Chichen Jang ◽  
Wenchi Chen ◽  
Hui-Chi Lin ◽  
...  
Keyword(s):  
Numerical Calculation ◽  
Numerical Analysis ◽  
Laser Beam ◽  
Vortex Lattice ◽  
Phase Plate ◽  
Lattice Structures ◽  
Vortex Lattices ◽  
Structural Variety ◽  
Theoretical Results ◽  
Spiral Phase

We theoretically demonstrate that a family of vortex-lattice structures can be flexibly generated using a multi-beam interference approach. Numerical calculation presents a variety of crystalline and kaleidoscopic patterns. Based on the numerical analysis, we experimentally realized these structure beams by combining an amplitude mask with multiple apertures and a spiral phase plate. The excellent agreement between the experimental and theoretical results not only validates the presented method, but also manifests the structure of vortex lattices.

scholarly journals Experimental Study on the Concept of Hollow-Core Photonic Bandgap Fiber Stethoscope

2018 ◽  
Vol 2018 ◽  
pp. 1-4
Author(s):  
Adel Abdallah
Keyword(s):  
Experimental Study ◽  
Relative Phase ◽  
Fiber Optic ◽  
Photonic Bandgap ◽  
Single Mode ◽  
Hollow Core ◽  
Photonic Bandgap Fiber ◽  
Photonic Bandgap Fibers ◽  
Relative Phase Shift ◽  
Phase Generated Carrier

An experiment is proposed to show the feasibility of using hollow-core photonic bandgap fibers (HC-PBF) in the fiber-optic interferometric stethoscopes to generally improve the sensitivity and overcome the problems associated with the electronic stethoscopes. In the experiment, the HC-1550 is used as a measuring arm of an unbalanced Mach-Zehnder interferometer (MZI) and the conventional single-mode optical fiber (SMF) is used as an isolated reference arm. Detection and demodulation of the relative phase shift is performed passively using phase-generated carrier homodyne technique (PGC). The proposed results indicate the significance of using HC-PBFs in the future stethoscopes.

Relative Phase Shift of Images Reconstructed by Phase and Amplitude Holograms

1975 ◽  
Vol 14 (2) ◽  
pp. 273
Author(s):  
P. Hariharan ◽  
Z. S. Hegedus
Keyword(s):  
Phase Shift ◽  
Relative Phase ◽  
Relative Phase Shift

scholarly journals Vortex Lattice Formation in Bose-Einstein Condensates

2004 ◽  
Vol 92 (2) ◽  
Author(s):  
Carlos Lobo ◽  
Alice Sinatra ◽  
Yvan Castin
Keyword(s):  
Vortex Lattice ◽  
Lattice Formation ◽  
Bose Einstein

The influence of phase on the nonlinear evolution of wavepackets in boundary layers

1999 ◽  
Vol 397 ◽  
pp. 259-283 ◽  
Author(s):  
MARCELLO A. F. MEDEIROS ◽  
MICHAEL GASTER
Keyword(s):  
Boundary Layer ◽  
Strong Influence ◽  
Relative Phase ◽  
Nonlinear Evolution ◽  
Nonlinear Behaviour ◽  
Negative Pulse ◽  
Local Effects ◽  
Excitation Process ◽  
Positive Pulse ◽  
Relative Phase Shift

The nonlinear evolution of wavepackets in a laminar boundary layer has been observed experimentally. The packets originated from disturbances generated by a loudspeaker coupled to the boundary layer by a small hole in the plate. In a preliminary experiment two types of short-duration acoustic pulses were used, one with a positive excitation and another with a negative excitation. The experiments indicated that the packet that originated from a positive pulse displayed nonlinear behaviour at considerably lower amplitudes than that from a negative pulse. However, the preliminary experiments suggested that at some distance from the source the packets were identical in shape with a relative phase shift of 180°. Using complex-amplitude pulses it was possible to extend the experiments to include packets with other phases. This more comprehensive experiment not only showed a strong influence of the phase on the evolution of the packet, but also demonstrated that this nonlinear behaviour is not determined by the local effects of the excitation process. The observations suggested that the important parameter is the phase of the packet relative to the modulation envelope.

Propagation of relative phase shift of apertured Cos beams

Optik ◽  
2003 ◽  
Vol 113 (12) ◽  
pp. 553-555 ◽  
Author(s):  
Daomu Zhao ◽  
Ruihua Shao ◽  
Shaomin Wang ◽  
Weichun Zhang
Keyword(s):  
Phase Shift ◽  
Relative Phase ◽  
Relative Phase Shift

scholarly journals Computing the T-matrix of a scattering object with multiple plane wave illuminations

2017 ◽  
Vol 8 ◽  
pp. 614-626 ◽  
Author(s):  
Martin Fruhnert ◽  
Ivan Fernandez-Corbaton ◽  
Vassilios Yannopapas ◽  
Carsten Rockstuhl
Keyword(s):  
Plane Waves ◽  
The Finite Element Method ◽  
Full Wave ◽  
Electric Dipoles ◽  
Complicated Object ◽  
T Matrix ◽  
Multiple Plane ◽  
Optical Nanostructures ◽  
Scattered Fields ◽  
Matrix Calculation

Given an arbitrarily complicated object, it is often difficult to say immediately how it interacts with a specific illumination. Optically small objects, e.g., spheres, can often be modeled as electric dipoles, but which multipole moments are excited for larger particles possessing a much more complicated shape? The T-matrix answers this question, as it contains the entire information about how an object interacts with any electromagnetic illumination. Moreover, a multitude of interesting properties can be derived from the T-matrix such as the scattering cross section for a specific illumination and information about symmetries of the object. Here, we present a method to calculate the T-matrix of an arbitrary object numerically, solely by illuminating it with multiple plane waves and analyzing the scattered fields. Calculating these fields is readily done by widely available tools. The finite element method is particularly advantageous, because it is fast and efficient. We demonstrate the T-matrix calculation at four examples of relevant optical nanostructures currently at the focus of research interest. We show the advantages of the method to obtain useful information, which is hard to access when relying solely on full wave solvers.

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