New approach to obtain limited diffraction beams

Jian yu Lu, James F Greenleaf, James F. Greenleaf

Research output: Contribution to journalArticle

36 Citations (Scopus)

Abstract

Limited diffraction beams were first discovered by Durnin in 1987 (formerly named nondiffracting or diffraction-free beams by Durnin). Since then, new families of limited diffraction beams have been discovered. Theoretically, limited diffraction beams can propagate to infinite distance without diffracting or spreading. Even if they are produced with a finite aperture radiator, limited diffraction beams have a large depth of field. Because of this property, limited diffraction beams could have applications in medical imaging, tissue characterization, and nondestructive evaluation, as well as other wave related areas such as electromagnetics and optics. In this paper, we develop a novel approach that can convert any diffracting solution of the isotropic-homogeneous wave equation to a limited diffraction solution. As an example, this approach was applied to an n-dimensional wavelet solution that we generalized from the three-dimensional solution obtained by Kaiser et al. This example establishes a relationship between localized limited diffraction beams and the wavelet theory. The resulting limited diffraction beam was compared with those discovered previously.

Original languageEnglish (US)
Pages (from-to)850-853
Number of pages4
JournalIEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
Volume42
Issue number5
DOIs
StatePublished - Sep 1995

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Diffraction
diffraction
Medical imaging
Radiators
radiators
Wave equations
wave equations
Optics
apertures
optics
Tissue
electromagnetism
evaluation

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Acoustics and Ultrasonics

Cite this

New approach to obtain limited diffraction beams. / Lu, Jian yu; Greenleaf, James F; Greenleaf, James F.

In: IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, Vol. 42, No. 5, 09.1995, p. 850-853.

Research output: Contribution to journalArticle

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