Theory and acoustic experiments of nondiffracting X waves

J. Y. Lu, J. F. Greenleaf

Research output: Contribution to journalConference articlepeer-review

39 Scopus citations


Families of nondiffracting solutions of the isotropichomogeneous wave equation have been discovered recently by the authors. These families of solutions contain some of the nondiffracting beams known previously, such as the plane wave, Durnin's nondiffracting beams, etc. One subset of the new families of nondiffracting solutions represents waves of X-like shape in a plane through the axis of the waves, which we termed "X waves." We report here the theoretical implications of one family of the nondiffracting solutions and simulate the nondiffracting X waves with finite apertures using the Rayteigh-Sommerfeld formulation of diffraction. An acoustic superposition experiment of the nondiffracting X waves in water was performed to test the theory, and the experiment agrees closely with the theory.

Original languageEnglish (US)
Article number234298
Pages (from-to)1155-1159
Number of pages5
JournalProceedings - IEEE Ultrasonics Symposium
StatePublished - 1991
Event1991 IEEE Ultrasonics Symposium. ULTSYM 1991 - Orlando, United States
Duration: Dec 8 1991Dec 11 1991

ASJC Scopus subject areas

  • Acoustics and Ultrasonics


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