TELECOMMUNICATIONS AND RADIO ENGINEERING - 2010 Vol. 69,
No 16 		 

 

 

 

ACOUSTIC WAVE SCATTERING BY CURVILINEAR RINGS

G.I. Koshovy
National Aerospace University (Kharkiv Aviation Institute),
17, Chkalov St., Kharkiv, 61070, Ukraine

Abstract
The problem of acoustic wave scattering by curvilinear rings obtained by revolution of the CSA (Cantor set of arcs) generator with a variable fractal dimension is considered. By applying the integral equations (IE) technique, the 3-D mathematical model is reduced, without loss of rigor, to a 2-D one. The possibility is analyzed to apply the direct method of mechanical cubatures to the case of a parabolic generator of fractal objects. The suggested approach can be generalized without special efforts to an arbitrary stage of the fractal generation.
KEY WORDS:self-similar fractals, IE technique, pre-fractal modeling, the Dirichlet problem, direct numerical methods

References

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pages 1429-1436

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