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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Durnin-Whitney beams
Omar de Jesús Cabrera-Rosas,Ernesto Espíndola-Ramos,Salvador Alejandro Juárez-Reyes,Israel Julián-Macías,Paula Ortega-Vidals,Carolina Rickenstorff-Parrao,Gilberto Silva-Ortigoza,Ramón Silva-Ortigoza,Citlalli Teresa Sosa-Sánchez +8 more
Proceedings ArticleDOI
Solutions and Properties of the Pridmore-Brown equation
TL;DR: In this paper, a study is made of acoustic duct modes in 2D and axi-symmetric 3D lined ducts with isentropic inviscid transversely non-uniform mean flow and sound speed.
Journal ArticleDOI
Nondiffracting electromagnetic fields in inhomogeneous isotropic media
TL;DR: In this article, stationary non-diffracting vector fields are discussed using the definition of propagating and evanescent nonsmooth vector fields based on the invariance of the intensity distribution during propagation, all the types of such fields in stratified inhomogeneous media are found.
Journal ArticleDOI
Virtual source for Lommel–Gauss beams
TL;DR: In this article, a group of virtual sources for generating Lommel-Gauss beams based on beam superposition is introduced to analyze non-paraxial propagation of LGM.
Journal ArticleDOI
Terahertz structured light: nonparaxial Airy imaging using silicon diffractive optics
Rusnė Ivaškevičiūtė-Povilauskienė,Paulius Kizevičius,Ernestas Nacius,Domas Jokubauskis,Kestutis Ikamas,Alvydas Lisauskas,Natalia V. Alexeeva,Ieva Matulaitienė,Vytautas Jukna,Sergej Orlov,Linas Minkevičius,Gintaras Valušis +11 more
TL;DR: In this article , the authors proposed a non-paraxial approach for the generation of Airy, Bessel, and Gaussian beams using femtosecond laser ablation technology.
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.