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
More filters
Journal ArticleDOI
Propagation-invariant space-time caustics of light.
TL;DR: In this paper, the authors present caustics in space-time wavepackets, a class of pulsed beams featuring strong coupling between spatial and temporal frequencies, allowing for customizable intensity patterns.
Journal ArticleDOI
Generation of finite power Airy beams via initial field modulation
TL;DR: This paper investigates the finite power Airy beams generated by finite extent input beams such as a Gaussian beam, a uniform beam of finite extent, and an inverse Gaussianbeam, which have different propagation behavior.
Journal ArticleDOI
Optical reconstruction of non-diffracting beams via photorefractive holography
Tárcio A. Vieira,Indira S. V. Yepes,Rafael A. B. Suarez,Marcos R. R. Gesualdi,Michel Zamboni-Rached +4 more
TL;DR: In this paper, the optical reconstruction of non-diffracting beams via photorefractive holography is presented. But the reconstruction is difficult and, in some circumstances, unfeasible, as it is the case of wave fields given by superposition of nonsmooth Bessel beams.
Journal ArticleDOI
Symmetry in optics and photonics: a group theory approach
TL;DR: A brief overview of the application of group theory in optical physics can be found in this paper, with a focus on quantum-inspired symmetry principles such as parity-time invariance and supersymmetry.
Journal ArticleDOI
Properties of the Poynting vector for invariant beams: Negative propagation in Weber beams
TL;DR: In this paper, the authors present a general Poynting vector expression for all invariant beams with cylindrical symmetry using scalar potentials in order to evaluate the possibility of negative propagation.
References
More filters
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.