Angular-spectrum representation of nondiffracting X waves

被引：71

作者：

Fagerholm, J

Friberg, AT

Huttunen, J

Morgan, DP

Salomaa, MM

机构：

[1] Materials Physics Laboratory, Department of Technical Physics, University of Technology, Espoo

来源：

PHYSICAL REVIEW E | 1996年 / 54卷 / 04期

关键词：

D O I：

10.1103/PhysRevE.54.4347

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We derive the nondiffracting X waves, first discussed within acoustics by Lu and Greenleaf [IEEE Trans. Ultrason. Ferroelec. Freq. Contr. 39, 19 (1992)], using the general mathematical formalism based on an angular spectrum of plane waves. This serves to provide a unified treatment of not only the fundamental zeroth-order X waves of Lu and Greenleaf, but also of the lesser-known higher-order derivative X waves, first discussed here in terms of a single, universal, angular spectrum. The characteristic crossed (letter-X-like) shape and the special properties of the X waves, as well as of their angular-spectrum representation, are discussed and illustrated in detail. Asymptotically, for increasing order, the appearance of the X waves is found to transform into a triangular wedgelike waveform.

引用

页码：4347 / 4352

页数：6

共 21 条

[1] DIFFRACTION THEORY [J].