Abstract
Using the method of superposition of Gaussian beams, we study the problem of synthesizing an axisymmetric antenna with a stepwise directivity pattern.
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Literature Cited
M. B. Vinogradova, O. V. Rudenko, and A. P. Sukhorukov,Theory of Waves [in Russian], Nauka, Moscow (1979).
A. P. Poddubnyak, “Diffraction effects in focused Gaussian beams propagating in an elastic medium,”Izv. Akad. Nauk SSSR. Mekh. Tver. Tela, No. 5, 99–108 (1987).
Ya. S. Podstrigach and A. P. Poddubnyak,Scattering of Acoustic Beams on Elastic Bodies of Spherical and Cylindrical Shape [in Russian], Naukova Dumka, Kiev (1986).
B. T. Polyak,Introduction to Optimization [in Russian], Nauka, Moscow (1983).
C. A. Cain and S. I. Umemura, “Annular and sector phased array applicators for ultrasound hyperthermia,” in:Proceedings of the IEEE Symposium on Ultrasound, San Francisco, Oct. 16–18, 1985, New York (1985), Vol. 2, pp. 936–941.
G. H. Harrison and E. K. Balcer-Kubiczek, “Experimental demonstration of Fourier synthesis of an annular ultrasonic intensity distribution,”Ultrasonics,25, No. 3, 172–174 (1987).
J. J. Wen and M. A. Breazeale, “A diffraction beam field expressed as the superposition of Gaussian beams,”J. Acoust. Soc. Amer.,83, No. 5, 1752–1756 (1988).
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Translated fromMatematichni Metodi ta Fiziko-mekhanichni Polya, Vol. 39, No. 1, 1996, pp. 87–90.
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Piddubnyak, O.P., Kuznets', Y.I. & Mishchenko, V.O. On the problem of synthesizing an acoustic antenna with ideal directivity pattern. J Math Sci 86, 2596–2599 (1997). https://doi.org/10.1007/BF02356103
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DOI: https://doi.org/10.1007/BF02356103