Results 241 to 250 of about 5,283,499 (370)

CUT POINTS IN GENERAL TOPOLOGICAL SPACES

, 1968
G. T. Whyburn
openalex   +1 more source

Extraction of Inherent Amplitude Mode from a Light Beam

Advanced Photonics Research, EarlyView.
Mode extraction is the inverse process of the double‐beam superposition principle in classical optics. While polarization mode extraction has been successfully demonstrated using an m‐order vector vortex beam, this article demonstrates the amplitude mode extraction of a light beam.
Zhiyang Xia, Xiaoyu Weng, Liwei Liu, Jun He, Changrui Liao, Yiping Wang, Junle Qu   +6 more
wiley   +1 more source

Weak forms of continuity in I-double gradation fuzzy topological spaces. [PDF]

Springerplus, 2012
Ghareeb A, Ghareeb A.
europepmc   +1 more source

A theorem on joint probability distributions in stochastic locally convex linear topological spaces [PDF]

, 1968
Ignacy I. Kotlarski
openalex   +1 more source

Function space topologies [PDF]

Pacific Journal of Mathematics, 1970
openaire   +2 more sources

Stimulated Raman Scattering with Optical Vortex Beams

Advanced Photonics Research, EarlyView.
This study presents exact analytical expressions for stimulated Raman scattering with Laguerre‐Gaussian beams, revealing signal dependence on topological and hyperbolic momentum. The results provide a theoretical foundation for coherent Raman imaging and detecting orbital angular momentum of light via structured light in nonlinear optics.
Minhaeng Cho
wiley   +1 more source

A new view of spaces and their properties in the sense of non-Newtonian measure. [PDF]

PLoS One
Darweesh A, Almalki A, Al-Khaled K, Ayyash A.   +3 more
europepmc   +1 more source

On a definition of the integral in topological spaces [PDF]

, 1964
Václav Pfeffer
openalex   +1 more source

Precision Construction of Chiral Optical Fields with Nine Controllable Degrees of Freedom

Advanced Photonics Research, EarlyView.
Chiral optical fields (COFs) offer multiple controllable degrees of freedom (DOFs), enabling applications in optical tweezers, manufacturing, and encryption. However, achieving precise sidelobe control remains a challenge. This work introduces a modular multilayer annular phase plate to fine‐tune COFs by manipulating nine DOFs.
Duo Deng, Xing Liu, Zixin Xu, Zhenjun Yang, Yan Li   +4 more
wiley   +1 more source

Sequential topological complexity of aspherical spaces and sectional categories of subgroup inclusions. [PDF]

Math Ann
Espinosa Baro A, Farber M, Mescher S, Oprea J.   +3 more
europepmc   +1 more source