Abstract
In 1678 Huygens formulated a principle postulating that each point on a wave front acts as a point source emitting a spherical wave which travels with a local velocity. The field at a given point some time later is then the sum of the fields of each of these point sources [1]. In this article a numerical method is presented for 2D problems of sound propagation and scattering, conforming that physical assumptions.
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REFERENCES
P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953).
B. B. Baker and E. T. Copson, The Mathematical Theory of Huygens’ Principle (Clarendon, Oxford, 1950).
D. S. Jones, The Theory of Electromagnetism (Pergamon, Oxford, 1964).
P. C. Waterman, J Acoust. Soc. Am. 63, 1320 (1978).
L. M. Brekhovskih, Waves in Layered Media (Elsevier, New York, 1976).
L. M. Brekhovskikh, Zh. Eksp. Teor. Fiz. 23, 275 (1952).
R. Colton and R. Kress, Invers Acoustic and Electromagnetic Scattering Theory, 2nd ed. (Springer, New York, 1998).
I. P. Lysanov, Sov. Phys., Acoust. 2, 190 (1956).
B. F. Kuryanov, Sov. Phys., Acoust. 8, 252 (1963).
A. G. Voronovich, Sov. Phys., JETP 62 (1), 65 (1985).
A. G. Voronovich, Trans. (Dokl.) USSR Acad. Sci. Earth Sci. Sect. 287 (1–6), 186 (1987).
S. L. Broschat, L. Tsang, A. Ishimaru, and E. I. Thorsos, J. Electromagn. Waves Appl. 2 (1), 85 (1987).
E. I. Thorsos, J. Acoust. Soc. Am. 82 (S1), S103A (1987).
E. I. Thorsos, J. Acoust. Soc. Am. 83 (1), 78 (1988).
P. J. Kaczkowski and E. I. Thorsos, J. Acoust. Soc. Am. 96 (2), 957 (1994).
G. I. Marchuk, Methods of Numerical Mathematics (Springer, 1975).
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Maltsev, N.E. Numerical Implementation of Huygens Principle for Scattering from a Smooth Ideal Surface. Acoust. Phys. 65, 467–470 (2019). https://doi.org/10.1134/S1063771019050154
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DOI: https://doi.org/10.1134/S1063771019050154