Journal ArticleDOI
Parabolic nondiffracting optical wave fields
TLDR
The existence of parabolic beams that constitute the last member of the family of fundamental nondiffracting wave fields and their associated angular spectrum is demonstrated and their eigenvalue spectrum is continuous.Abstract:
We demonstrate the existence of parabolic beams that constitute the last member of the family of fundamental nondiffracting wave fields and determine their associated angular spectrum. Their transverse structure is described by parabolic cylinder functions, and contrary to Bessel or Mathieu beams their eigenvalue spectrum is continuous. Any nondiffracting beam can be constructed as a superposition of parabolic beams, since they form a complete orthogonal set of solutions of the Helmholtz equation. A novel class of traveling parabolic waves is also introduced for the first time.read more
Citations
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Journal ArticleDOI
Generation of Mathieu-Gauss modes with an axicon-based laser resonator.
TL;DR: This work reports what is to their best knowledge the first observation of Mathieu-Gauss modes directly generated in an axicon-based stable resonator by slightly breaking the symmetry of the cavity.
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On the validity of integral localized approximation for on-axis zeroth-order Mathieu beams
TL;DR: In this paper, the beam shape coefficients (BSCs) encoding the shape of the beams were compared with an exact procedure and those calculated using ILA, in order to determine a range of validity of the approximate procedure.
Journal ArticleDOI
Space–Time Surface Plasmon Polaritons: A New Propagation-Invariant Surface Wave Packet
TL;DR: In this paper, the propagation invariant surface plasmon polaritons (SPPs) representing pulsed surface wave packets propagating along unpatterned metal-dielectric interfaces were introduced.
Journal ArticleDOI
Diffraction of orbital angular momentum carrying optical beams by a circular aperture
TL;DR: The experiments reveal a surprisingly simple structure for the diffraction pattern and its dependence on the orbital angular momentum index of the incident beam when the aperture size is small compared to the beam radius.
Journal ArticleDOI
Experimental Demonstration of Microwave Two-Dimensional Airy Beam Generation Based on Single-Layer Metasurface
Yongjun Huang,Jian Li,He-Xiu Xu,Hualong Yu,Zhao Yang,Peng Yu,Wei Hu,Daniele Inserra,Guangjun Wen +8 more
TL;DR: In this paper, a 2D Airy beam is experimentally generated at microwave frequency by using a simple and thin metasurface composed of a single-layer of square C-shaped complementary split-ring resonators (C-SRRs).
References
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Journal ArticleDOI
Handbook of Mathematical Functions
Journal ArticleDOI
Methods of Theoretical Physics. By P.M. Morse and H. Feschbach. 2vols., Pp.xxii, 1978. 120s. each vol. 1953.(McGraw-Hill)
Book
A Course of Modern Analysis
TL;DR: The volume now gives a somewhat exhaustive account of the various ramifications of the subject, which are set out in an attractive manner and should become indispensable, not only as a textbook for advanced students, but as a work of reference to those whose aim is to extend the knowledge of analysis.
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Exact solutions for nondiffracting beams. I. The scalar theory
TL;DR: In this paper, exact nonsingular solutions of the scalar-wave equation for beams that are non-diffracting were presented, which means that the intensity pattern in a transverse plane is unaltered by propagating in free space.