Problem statements The superposition method is employed The
Problem statements The superposition method is employed. The result will compare with that of [1]. Given k=2, find The distance between source point and two cylinders is unknown. observation points are located on ( , y).
Mathematical model Original Problem Governing equation: Boundary condition: B 1 Subjected to given B. C. a 1 Dirichlet: (soft) B 2 a 2 (soft) Fundamental solution:
Problem Statements -use Superposition Original Problem B 1 Free Field Scattering Field u=0 a 1 = a 1 + B 2 a 2 u=0 a 2
Superposition method First part : Second part :
Numerical to compare b b y PROBE M=20, source point 100 Fig. 1 Experimental and theoretical results of diffraction by tow cylinders as a function of probe position for ka=0. 313 and spaced 1. 0 wavelength between centers. Fig. 2 Superposition method
Further works Example 1:
Further works Example 2:
Further works Example 3:
Further works Example 4:
Further works Example 5:
Further works Example 6:
Further works Example 7:
References [1] R. V. Row, 1955, Theoretical and Experimental Study of Electromagnetic Scattering by Two Identical Conducting Cylinders. Journal of Applied Physics, vol. 26, pp. 666 -675. [2] S. E. Sherer, 2004, Scattering of sound from axisymetric sources by multiple circular cylinders. J. Acoust. Soc. Am. , vol. 115, pp. 488– 496
The end Thanks for your attentions.
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