Title :
Back reflection of sound beam from an elastic cylinder at oblique incidence
Author :
Piddubniak, N.G. ; Piddubniak, O.P.
Author_Institution :
State Univ. Lvov Polytech., Ukraine
Abstract :
The scattering of a bounded beam of ultrasound obliquely incident upon an elastic circular cylinder of infinite length is investigated. A cross-section of the wave beam is narrow in the axial direction of the cylinder and unbounded in the perpendicular direction, i.e. the sound beam is considered as an “acoustical knife”. This problem is solved by means of the exponential Fourier transform for the axial variable and the modal series for the polar variables. On basis of the high-frequency expansions and the steepest descent method (when the saddle point is located near the pole) the conditions of Rayleigh surface wave back reradiation are obtained
Keywords :
Fourier transforms; ultrasonic reflection; ultrasonic scattering; Rayleigh surface wave back reradiation; acoustical knife; axial direction; axial variable; back reflection; circular cylinder; elastic cylinder; exponential Fourier transform; high-frequency expansions; modal series; oblique incidence; perpendicular direction; polar variables; saddle point; sound beam; steepest descent method; ultrasound; Acoustic beams; Acoustic reflection; Acoustic scattering; Acoustic transducers; Backscatter; Fourier transforms; Optical reflection; Rayleigh scattering; Surface acoustic waves; Ultrasonic imaging;
Conference_Titel :
Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, 2000. DIPED - 2000. Proceedings of the 5th International Seminar/Workshop on
Conference_Location :
Tbilisi
Print_ISBN :
966-02-1463-4
DOI :
10.1109/DIPED.2000.890018
