Studies on the Vortex of Higher Order Topological Charge, Generated by Plane Wave Interference Method

2012 ◽  
Author(s):  
Puja Upadhyay ◽  
P. Senthilkumaran
Keyword(s):  
Plane Wave ◽  
Topological Charge ◽  
Higher Order ◽  
Interference Method ◽  
Wave Interference

Generation and evolution of Vortex array with variable-ratio lateral-shearing interferometry

2022 ◽  
Author(s):  
yong li ◽  
Junyong Zhang ◽  
jianlang li
Keyword(s):  
Theoretical Analysis ◽  
Plane Wave ◽  
Topological Charge ◽  
Variable Ratio ◽  
Wave Interference ◽  
Lateral Shearing Interferometer ◽  
Lateral Shearing ◽  
Lateral Shearing Interferometry ◽  
Spot Array ◽  
Vortex Array

Abstract Different from the method by plane-wave interference, here an efficient approach is proposed to generate optical vortex array (VA) based on lateral-shearing interferometer (LSI), in which the evolution from light spot array to VA can be observed by continuously variable shear ratio in a certain range. VAs with topological charge 2 and 1 are simulated by software GLAD and proved to be effectiveness through optical experiment. Theoretical analysis and experimental results show that when the shear ratio approaches to zero, we can stably obtain a vortex array with high density and variable topological charge.

scholarly journals The Computation of the Magnitude of the Far Field for an Eccentric Circular Cylinder

2015 ◽  
Vol 2015 ◽  
pp. 1-8
Author(s):  
Bülent Yılmaz
Keyword(s):  
Circular Cylinder ◽  
Plane Wave ◽  
Radiation Condition ◽  
Higher Order ◽  
Numerical Results ◽  
Surface Radiation ◽  
Far Field ◽  
Condition Method ◽  
Radiation Conditions

The specific case of scattering of a plane wave by a two-layered penetrable eccentric circular cylinder has been considered and it is about the validity of the on surface radiation condition method and its applications to the scattering of a plane wave by a two-layered penetrable eccentric circular cylinder. The transformation of the problem of scattering by the eccentric circular cylinder to the problem of scattering by the concentric circular cylinder by using higher order radiation conditions, is observed. Numerical results presented the magnitude of the far field.

Optical vortex generation by three plane wave interference

2001 ◽  
Vol 198 (1-3) ◽  
pp. 21-27 ◽  
Author(s):  
Jan Masajada ◽  
Bogusława Dubik
Keyword(s):  
Plane Wave ◽  
Optical Vortex ◽  
Vortex Generation ◽  
Wave Interference

Exceptional nexus with a hybrid topological invariant

Science ◽  
2020 ◽  
Vol 370 (6520) ◽  
pp. 1077-1080 ◽  
Author(s):  
Weiyuan Tang ◽  
Xue Jiang ◽  
Kun Ding ◽  
Yi-Xin Xiao ◽  
Zhao-Qing Zhang ◽  
...  
Keyword(s):  
Parameter Space ◽  
Branch Point ◽  
Topological Charge ◽  
Higher Order ◽  
Topological Invariant ◽  
Wave Functions ◽  
Major Advance ◽  
Fundamental Understanding ◽  
Berry Phases ◽  
Complex Planes

Branch-point singularities known as exceptional points (EPs), which carry a nonzero topological charge, can emerge in non-Hermitian systems. We demonstrate with both theory and acoustic experiments an “exceptional nexus” (EX), which is not only a higher-order EP but also the cusp singularity of multiple exceptional arcs (EAs). Because the parameter space is segmented by the EAs, the EX possesses a hybrid topological invariant (HTI), which consists of distinct winding numbers associated with Berry phases accumulated by cyclic paths on different complex planes. The HTI is experimentally characterized by measuring the critical behaviors of the wave functions. Our findings constitute a major advance in the fundamental understanding of non-Hermitian systems and their topology, possibly opening new avenues for applications.

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