New X-wave solutions of isotropic/homogenous scalar wave equation

Author

Crespo, Y. ; Calás, H. ; Moreno, E. ; Eiras, J.A. ; Secada, J.D. ; Leija, L.

Author_Institution

Inst.de Cibernetica Matematica y Fisica, Habana, Cuba

fYear

2005

fDate

7-9 Sept. 2005

Firstpage

164

Lastpage

167

Abstract

Based on the general solution proposed by Sushilov and Tavakkoli, new nondiffracting X-wave solution have been derived for the isotropic/homogenous scalar wave equation in cylindrical coordinates. It is shown that the velocity power spectrum of the new X-waves is limited within the ultrasonic range and they could be realized by a finite aperture transducer. The characteristics of one of these solutions are studied for finite aperture case. For similar source spectra, the results are compared to Lu & Greenleaf X-wave and it is shown that both solutions have the same depth of field but the new solution beam width is narrower.

Keywords

acoustic radiators; ultrasonic velocity; ultrasonic waves; wave equations; X-wave solutions; acoustic radiation; cylindrical coordinates; finite aperture transducer; homogenous scalar wave equation; isotropic scalar wave equation; ultrasonic waves; velocity power spectrum; Acoustic beams; Acoustic transducers; Apertures; Ceramics; Fourier transforms; Laboratories; Narrowband; Partial differential equations; Polymers; Ultrasonic transducers; Acoustic Radiation; Radiation Field; Simulation;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical and Electronics Engineering, 2005 2nd International Conference on

Print_ISBN

0-7803-9230-2

Type

conf

DOI

10.1109/ICEEE.2005.1529598

Filename

1529598