TY - JOUR
T1 - A New Approach to Obtain Limited Diffraction Beams
AU - Lu, Jian yu
AU - Greenleaf, James F.
AU - Zou, Hehong
N1 - Funding Information:
Manuscript received November 22, 1993; revised April 10, 1995. This work was supported in part by Grants CA 54212 and CA 43920 from the National Institutes of Health. J. Lu and J. F. Greenleaf are with the Biodynamics Research Unit, Department of Physiology and Biophysics, Mayo Clinic and Foundation, Rochester, MN 55905 USA. H. Zou is with Rosemount Inc., Chanhassen, MN USA. IEEE Log Number 9413777.
PY - 1995/9
Y1 - 1995/9
N2 - 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.
AB - 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.
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U2 - 10.1109/58.464842
DO - 10.1109/58.464842
M3 - Article
AN - SCOPUS:0029375729
SN - 0885-3010
VL - 42
SP - 850
EP - 853
JO - IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
JF - IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
IS - 5
ER -