Resonance scattering and radiation force calculations for an elastic cylinder using the translational addition theorem for cylindrical wave functions

Journal Article · Tue Sep 15 04:00:00 EDT 2015 · AIP Advances

DOI:https://doi.org/10.1063/1.4931916· OSTI ID:22492376

The standard Resonance Scattering Theory (RST) of plane waves is extended for the case of any two-dimensional (2D) arbitrarily-shaped monochromatic beam incident upon an elastic cylinder with arbitrary location using an exact methodology based on Graf’s translational addition theorem for the cylindrical wave functions. The analysis is exact as it does not require numerical integration procedures. The formulation is valid for any cylinder of finite size and material that is immersed in a nonviscous fluid. Partial-wave series expansions (PWSEs) for the incident, internal and scattered linear pressure fields are derived, and the analysis is further extended to obtain generalized expressions for the on-axis and off-axis acoustic radiation force components. The wave-fields are expressed using generalized PWSEs involving the beam-shape coefficients (BSCs) and the scattering coefficients of the cylinder. The off-axial BSCs are expressed analytically in terms of an infinite PWSE with emphasis on the translational offset distance d. Numerical computations are considered for a zeroth-order quasi-Gaussian beam chosen as an example to illustrate the analysis. Acoustic resonance scattering directivity diagrams are calculated by subtracting an appropriate background from the expression of the scattered pressure field. In addition, computations for the radiation force exerted on an elastic cylinder centered on the axis of wave propagation of the beam, and shifted off-axially are analyzed and discussed.

• OSTI ID: 22492376
• Journal Information: AIP Advances, Journal Name: AIP Advances Journal Issue: 9 Vol. 5; ISSN AAIDBI; ISSN 2158-3226
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CALCULATION METHODS
CYLINDERS
CYLINDRICAL CONFIGURATION
DIAGRAMS
FLUIDS
MONOCHROMATIC RADIATION
PARTIAL WAVES
RESCATTERING
RESONANCE SCATTERING
SERIES EXPANSION
TWO-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL SYSTEMS
WAVE FUNCTIONS
WAVE PROPAGATION