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
Method to define non-diffracting optical beams mimicking the shape of simple plane curves
TL;DR: The method is easier to follow, because it does not require optimization and allows one to obtain non-diffracting beams mimicking the geometry of simple plane curves, and could find applications in manipulation of matter with optical waves, and in quantum, nonlinear, and atom optics.
Journal ArticleDOI
Structure of the dielectric tensor in nematic liquid crystals with topological charge
TL;DR: An approach to diagonalizing the dielectric tensor in q-plates is reported, giving a detailed study of nontrivial tensor coordinate transformations and establishing a theoretical basis that could further deepen the research on these particular structures for nonconventional manipulation of the light.
DissertationDOI
Materials Properties Of Ultra-Thin Silicon Nanowire Arrays Fabricated By Euv Interference Lithography
Abstract: ........................................................................................................................................................................... 3 Zusammenfassung ....................................................................................................................................................... 4 Acknowledgements ..................................................................................................................................................... 5 Table of
Journal ArticleDOI
Accelerating propagation properties of misplaced Hermite-Gaussian beams
Chaohong Huang,Helin Lu +1 more
TL;DR: A new family of finite-energy accelerating beams was constructed through misplacing the Hermite polynomial and Gaussian window function, which has similar propagation properties to finite Airy beams and parabolic beams, but the accelerating trajectory is hyperbola rather than parabola.
Journal ArticleDOI
Tunable diffraction-free array in nonlinear photonic crystal
Dongmei Liu,Dongmei Liu,Dunzhao Wei,Yong Zhang,Zhenhua Chen,Rui Ni,Bo Yang,Xiaopeng Hu,Yuyuan Qin,Shining Zhu,Min Xiao,Min Xiao +11 more
TL;DR: The generation of a tunable diffraction-free array through second-harmonic generation in a nonlinear photonic crystal, i.e., a 2D periodically-poled LiTaO3 crystal, is reported.
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.