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Title: Quantitative comparison of self-healing ability between Bessel–Gaussian beam and Airy beam

The self-healing ability during propagation process is one of the most important properties of non-diffracting beams. This ability has crucial advantages to light sheet-based microscopy to reduce scattering artefacts, increase the quality of the image and enhance the resolution of microscopy. Based on similarity between two infinite-dimensional complex vectors in Hilbert space, the ability to a Bessel–Gaussian beam and an Airy beam have been studied and compared. Comparing the evolution of the similarity of Bessel–Gaussian beam with Airy beam under the same conditions, we find that Bessel–Gaussian beam has stronger self-healing ability and is more stable than that of Airy beam. To confirm this result, the intensity profiles of Bessel–Gaussian beam and Airy beam with different similarities are numerically calculated and compared.
Authors:
 [1] ;  [2]
  1. Department of Physics and Information Engineering, Huaihua University, Huaihua 418008 (China)
  2. School of Sciences, Zhejiang Agriculture and Forestry University, Lin’an 311300 (China)
Publication Date:
OSTI Identifier:
22451222
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics; Journal Volume: 360; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AIRY FUNCTIONS; BESSEL FUNCTIONS; GAUSS FUNCTION; HILBERT SPACE; MICROSCOPY; PHOTON BEAMS; WAVE FORMS; WAVE PROPAGATION