Multiple scattering by two cylinders

Abstract

Theoretical calculations and experimental measurements of the backscattering of a plane acoustic wave by two parallel, rigid cylinders are presented. The effects of multiple scattering between cylinders are included in the calculations. Two methods of solution of the equations are discussed. Good agreement is found between theory and experiment. Multiple-scattering calculations show the influence of the shadow of one cylinder upon the other. Variations in level of the interference peaks are correctly predicted. Subject Classification: 30,30, 30.40; 20.30, 20.15.

Oblique Incidence Plane Wave Scattering From an Array of Circular Dielectric Cylinders

“…Among those techniques are the integral equation formulation, partial differential equation formulation, and hybrid techniques [3][4][5][6][7]. Furthermore, a rigorous solution had been introduced to solve the scattering problem from an array of dielectric or conductor cylinders for a plane wave excitation of normal incidence [8][9][10][11]. In a previous work [12], the principle of equal volume model was used to model any two-dimensional cylindrical object of arbitrary cross section by an array of circular cylinders.…”

Algebraic Aspects of Multiple Scattering by Two Parallel Cylinders: Classification and Physical Interpretation of Scattering Resonances

“…while the total scattered ®eld from the two cylinders can be expressed in the form [1] F s F Here and in the following the expÀiot time dependence is suppressed and J m and H 1 m denote respectively ordinary Bessel functions of the ®rst and third kinds [7]. Usually [1], this scattering problem is solved by applying boundary conditions for the total ®eld F t = F inc + F s at the surface of each cylinder.…”

“…Usually [1], this scattering problem is solved by applying boundary conditions for the total ®eld F t = F inc + F s at the surface of each cylinder. By means of Graf's Addition Theorem [7], an in®nite set of two linear, complex, algebraic equations is then obtained where the unknown coecients C In order to solve this problem, a new method based on the use of the symmetries of the scatterer is proposed.…”

“…The most popular approach to that physical problem is based on the techniques of multiple scattering. For a clear presentation of multiple scattering by two cylinders, this paper refers to the work of Young and Bertrand which simpli®es and extends the important contributions of Twersky (see for example reference [1] and references therein). Curiously, the use of symmetries of the two-cylinder scatterer in order to simplify the multiple scattering formalism has never been considered in acoustics.…”

Electromagnetic Scattering From a Perfect Electromagnetic Conductor Cylinder Buried in a Dielectric Half-Space

“…Problem of a buried conducting cylinder of arbitrary geometry below a flat surface using the method of moments (MoM) is treated in [16,17]. Scattering of electromagnetic waves by multiple cylinders had been extensively studied in published literature [18][19][20][21][22][23][24][25][26][27]. Perfectly conducting, dielectric, impedance and bi-isotropic/chiral cylinders were considered for the analysis using different methods.…”