Abstract
A high-frequency diffraction problem is considered for a Gaussian beam incident parallel to the axis of a strongly elongated spheroid. The parabolic equation method in spheroidal coordinates is used to construct the leading order term of the field asymptotics in the boundary layer near the surface in the form of an integral containing Whittaker functions. The field amplitudes on the surface of a perfectly hard spheroid are computed. High-frequency diffraction effects are discussed.
Similar content being viewed by others
REFERENCES
I. V. Andronov and D. Bouche, Ann. Telecommun. 49 (3–4), 205 (1994).
A. I. Kleev and A. G. Kyurkchan, Acoust. Phys. 61 (1), 19 (2015).
S. A. Manenkov, Acoust. Phys. 60 (2), 127 (2014).
I. V. Andronov, Acoust. Phys. 57 (2), 121 (2011).
I. V. Andronov, Acoust. Phys. 58 (5), 521 (2012).
I. V. Andronov, J. Acoust. Soc. Am. 134 (6), 4307 (2013).
V. A. Fock, Vestn. Leningr. Univ., No. 4, 5 (1947).
I. V. Komarov, L. I. Ponamorev, and S. Yu. Slavyanov, Spheroidal and Coulomb Spheroidal Functions (Nauka, Moscow, 1976) [in Russian].
Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, Ed. by M. Abramowitz and I. A. Stegun (Dover Publ., New York, 1965; Nauka, Moscow, 1979).
I. V. Andronov, J. Sound Vib. 355, 360 (2015).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Andronov, I.V. Diffraction of a Gaussian Beam by a Strongly Elongated Spheroid. Acoust. Phys. 65, 335–339 (2019). https://doi.org/10.1134/S1063771019040018
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063771019040018