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
Cross-spectral densities with helical-Cartesian phases
Zhangrong Mei,Olga Korotkova +1 more
TL;DR: A superposition of linear phases with arbitrarily assigned weighing factors is employed, analytically and experimentally useful in general and, in particular, for generation of asymmetric vortex lattices.
Journal ArticleDOI
Topological Charge and Asymptotic Phase Invariants of Vortex Laser Beams
TL;DR: In this article, the authors proposed a huge-ring approximation of the Huygens-Fresnel principle, where the observation point is located on an infinite-radius ring.
Journal ArticleDOI
Optical Fourier transform of pseudo-nondiffracting beams
Abdelghani Chafiq,A. Belafhal +1 more
TL;DR: In this article, the authors exploit the ability of the converging thin lens to perform optical Fourier transform of any arbitrary beam and investigate the propagation through free space of these new generated beams.
Journal ArticleDOI
Observation of spatially oscillating solitons in photonic lattices
TL;DR: In this article, the authors report on the experimental observation of spatially oscillating solitons in two-dimensional nonlinear photonic lattices, realized by optical induction using a continuous non-iffracting Weber beam.
Journal ArticleDOI
An absorption-free and Doppler-improved optical waveguide for diffractionless light propagation.
Ni Cui,Ziyang Gan,Lida Zhang +2 more
TL;DR: The paraxial light propagation in the waveguide is studied which shows that the propagation dynamics is lossless and diffractionless, in sharp contrast to the previously considered schemes.
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.
Journal ArticleDOI
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.