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Application of Chaos to Sound Propagation in Random Media

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Part of the book series: Acoustical Imaging ((ACIM,volume 19))

Abstract

Over the past several years, the development of the science of chaos1 has led to new insides and understanding of nonlinear dynamics. Wave propagation can also become chaotic in both deterministic and stochastic (random media) environments. The main problem in sound wave propagation in strongly inhomogeneous medium is the divergence problem encountered in solving the nonlinear integral equation. In this paper we solve the divergence problem by using techniques employed for the treatment of chaos. Two approaches will be used: statistical approach and conventional approach.

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References

  1. A. A. Chernikov, R. Z. Sagdeev and G. M. Zaslaysky, Chaos: How regular can it be?, Physics Today 27, Nov. 1988.

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  2. W. S. Gan, A Statistical Approach to Sound Scattering in Random Inhomogeneous Medium, Acoustical Imaging 17: 427, 1989

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© 1992 Springer Science+Business Media New York

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Gan, W.S. (1992). Application of Chaos to Sound Propagation in Random Media. In: Ermert, H., Harjes, HP. (eds) Acoustical Imaging. Acoustical Imaging, vol 19. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3370-2_17

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  • DOI: https://doi.org/10.1007/978-1-4615-3370-2_17

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6487-0

  • Online ISBN: 978-1-4615-3370-2

  • eBook Packages: Springer Book Archive

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