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Unified description of nondiffracting X and Y waves
KTH, Superseded Departments, Microelectronics and Information Technology, IMIT.
2000 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1063-651X, E-ISSN 1095-3787, Vol. 62, no 3, 4261-4275 p.Article in journal (Refereed) Published
Abstract [en]

A unified spectral and temporal representation is introduced for nondiffracting waves. We consider a set of elementary broadband X waves that spans the commonly considered nondiffracting wave solutions. These basis X waves have a simple spectral representation that leads to expressions in closed algebraic form or, alternatively, in terms of hypergeometric functions. The span of the X waves is also closed with respect to all spatial and temporal derivatives and, consequently, they can be used to compose different types of waves with complex spectral and spatial properties. The unified description of Bessel-based nondiffracting waves is further extended to include singular Neumann and Hankel waves, or Y waves. We also discuss connections between the different known nondiffracting wave solutions, and their relations to the present unified approach.

Place, publisher, year, edition, pages
2000. Vol. 62, no 3, 4261-4275 p.
Keyword [en]
limited diffraction beams, transient bessel beams, ultrasonic transducer, acoustic bullets, generation, sidelobe, antenna, pulses, fields
URN: urn:nbn:se:kth:diva-20050ISI: 000089447000073OAI: diva2:338743
QC 20100525Available from: 2010-08-10 Created: 2010-08-10Bibliographically approved

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Friberg, Ari T.
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