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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Proceedings ArticleDOI
3D Modeling of Hermite-Gaussian Modes Propagation
M. Karpova,M. S. Kirilenko +1 more
TL;DR: In this paper , a three-dimensional model of Hermite-Gaussian modes propagation is proposed, and their superposition over a given propagation interval is considered. But the model is based on the Fresnel transform, and the results are usually displayed in two-dimensional form.
Journal ArticleDOI
Generation of Non-Rayleigh Nondiffracting Speckles
TL;DR: In this article, the authors report the first observation of optical speckles that remain diffraction-free over a long axial distance while keeping non-Rayleigh statistics simultaneously.
Proceedings ArticleDOI
Optical fields with tunable transverse intensity fluxes arranged over a semi-circle
TL;DR: In this paper, a superposition of a nondiffracting beam with a strong carrier wave that reproduces phase variations of the former field over the resultant intensity distribution is presented, generating profiles with a finite and well defined propagation period.
Journal ArticleDOI
The trend of structured light-induced force microscopy: a review
TL;DR: In this paper , the authors discuss the origin and state-of-the-art of structured light-induced force microscopy (SLiFM) and highlight the possible future industrial and academic applications in the characterization and manipulation of opto-magnetism, chirality, etc.
Journal ArticleDOI
Line imaging of a terahertz zero-order Mathieu-Gauss beam.
TL;DR: In this paper, the authors used 3D printed diffractive plates to generate a terahertz zero-order Mathieu-Gauss beam at a frequency of 0.1 THz and simulate its line-imaging effect.
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.