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Analysis and formation of acoustic fields in inhomogeneous waveguides

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Cybernetics and Systems Analysis Aims and scope

The problem of numerical modeling and formation of acoustic fields with definite properties in an axisymmetric inhomogeneous underwater waveguide is considered. A numerical method to solve a boundary-value and extremal problems for a parabolic Schrödinger-type wave equation with a complex nonself-adjoint operator is proposed and investigated.

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References

  1. L. M. Brekhovskikh and Yu. P. Lysanov, Theoretical Fundamentals of the Ocean Acoustics [in Russian], Gidrometeoizdat, Leningrad (1982).

    Google Scholar 

  2. J. B. Keller and J. S. Papadakis (eds.), Wave Propagation and Underwater Acoustics, Lecture Notes in Physics, Vol. 70, Springer, New York (1977), pp. 224-287.

    MATH  Google Scholar 

  3. D. Lee and S. T. McDaniel, “Ocean acoustic propagation by finite difference method,” Comput. Math. Appl., 14, 305–423 (1987).

    Article  MATH  MathSciNet  Google Scholar 

  4. V. Yu. Zavadskii, Modeling Wave Processes [in Russian], Nauka, Moscow (1991).

    Google Scholar 

  5. A. V. Gladkii, I. V. Sergienko, and V. V. Skopetskii, Numerical-Analytic Methods to Study Wave Processes [in Russian], Naukova Dumka, Kyiv (2001).

    Google Scholar 

  6. F. D. Tappert and D. Lee, “A range refraction parabolic equation,” J. Acoust. Soc. Amer., 76, 1797–1803 (1984).

    Article  MATH  Google Scholar 

  7. D. Lee, A. D. Pierse, and E. C. Shang, “Parabolic equation development in the twentieth century,” J. Comput. Acoust., 1, No. 4, 527–637 (2000).

    Google Scholar 

  8. J. Zhu and Y. Y. Lu, “Validity of one-way models in the weak range dependence limit,” J. Comput. Acoust., 12, No. 1, 55–66 (2004).

    Article  MATH  MathSciNet  Google Scholar 

  9. V. Ya. Danilov, Yu. A. Kravtsov, and A. G. Nakonechnyi, “Mathematical aspects of control of hydroacoustic fields,” in: Acoustic Fields Formed in Oceanic Waveguides [in Russian], IPF AN SSSR, N. Novgorod (1991), pp. 32–55.

    Google Scholar 

  10. G. V. Alekseev and E. G. Komarov, “Numerical analysis of extremum problems in the theory of sound emission in a flat waveguide,” Mat. Modelirov., 3, No. 12, 52–64 (1991).

    Google Scholar 

  11. G. V. Alekseev, T. S. Komashinskaya, and V. G. Sin’ko, “Distributed computing in active minimization of sound in a two-dimensional multimodal waveguide,” Sib. Zh. Industr. Matem., 7, No. 2, 9–22 (2004).

    MATH  MathSciNet  Google Scholar 

  12. A. V. Gladkii, V. V. Skopetskii, and D. A. Harrison, “Numerical simulation of a control problem for wave processes in inhomogeneous media,” Sistemni Doslid. Inform. Tekhol., No. 1, 131–140 (2002).

  13. A. V. Gladkii, “Optimization of wave processes in inhomogeneous media,” Cybern. Syst. Analysis, 39, No. 5, 728–736 (2003).

    Article  MATH  MathSciNet  Google Scholar 

  14. A. A. Samarskii and A. V. Gulin, Stability of Difference Schemes [in Russian], Nauka, Moscow (1973).

    Google Scholar 

  15. A. A. Samarskii and P. N. Vabishchevich, Computational Heat Transfer [in Russian], Editorial URSS, Moscow (2003).

    Google Scholar 

  16. P. F. Vasil’ev, Methods to Solve Extremum Problems [in Russian], Nauka, Moscow (1981).

    Google Scholar 

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Correspondence to A. V. Gladkii.

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Translated from Kibernetika i Sistemnyi Analiz, No. 2, pp. 62–71, March–April 2009.

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Gladkii, A.V., Skopetskii, V.V. & Harrison, D.A. Analysis and formation of acoustic fields in inhomogeneous waveguides. Cybern Syst Anal 45, 214–222 (2009). https://doi.org/10.1007/s10559-009-9089-1

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