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
Synthesis of Broadband Space-Time Diffraction-Free Wave Packets Using Transmissive Phase Plates
Murat Yessenov,H. Esat Kondakci,Monjurul Meem,Danielle Reyes,Daniel Thul,Shermineh Rostami Fairchild,Martin Richardson,Rajesh Menon,Ayman F. Abouraddy +8 more
TL;DR: In this article, the authors demonstrate the synthesis of broadband diffraction-free space-time pulsed light sheets using transmissive phase plates and produce propagation-invariant wave packets having a bandwidth of 30 nm from a multi-terawatt femtosecond laser.
Proceedings Article
Advanced Trajectory Engineering of Diffraction-Resisting Laser Beams
TL;DR: In this article, the authors introduce an analytical technique for engineering the trajectory of diffraction-resisting laser beams, which can be navigated along arbitrary curved paths in free space, thus being an advanced hybrid between accelerating and non-accelerating diffraction free optical waves.
Journal ArticleDOI
Self-healing of holographically generated moiré lattice wave fields
TL;DR: In this article , the authors observed the processes of the wave fields from perfect to defect in front of the focal plane of the 4f system, finally returning to an intact situation after the plane.
Journal ArticleDOI
Rigorous Eigenmode Derivations and Spectral Analysis for Step-Index Confocal Parabolic Optical Fibers
TL;DR: In this article, a fiber with a parabolic core and a circular cladding for the preservation of coaxiality is proposed to understand the different forms modes take in such fibers and the appropriate eigenfunction for spectral analysis.
Journal ArticleDOI
Quasimonochromatic exact solutions to Maxwell's equations with finite total energy and arbitrary frequencies in the vacuum.
Xiaolu Ma,Richard S. Thompson +1 more
TL;DR: These solutions are a subset of the modified-power-spectrum solutions found by Ziolkowski and represent quasimonochromatic continuous wave fields with the main angular frequency k0c and energy localized in the transverse directions.
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.