Ultrasonic Electronics. Elastic Parabolic Equation for Sound Propagation in Shallow Water Overlying an Elastic Bottom Using Complex Pade Approximation.

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  • Mitsuno Takashi
    Department of Electrical, Electronics and Information Engineering, Faculty of Engineering, Kanagawa University, 3-27 Rokkakubashi, Kanagawa-ku, Yokohama 221-8686, Japan
  • Tsuchiya Takenobu
    Department of Electrical, Electronics and Information Engineering, Faculty of Engineering, Kanagawa University, 3-27 Rokkakubashi, Kanagawa-ku, Yokohama 221-8686, Japan
  • Anada Tesuo
    Department of Electrical, Electronics and Information Engineering, Faculty of Engineering, Kanagawa University, 3-27 Rokkakubashi, Kanagawa-ku, Yokohama 221-8686, Japan
  • Endoh Nobuyuki
    Department of Electrical, Electronics and Information Engineering, Faculty of Engineering, Kanagawa University, 3-27 Rokkakubashi, Kanagawa-ku, Yokohama 221-8686, Japan

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  • Elastic Parabolic Equation for Sound Propagation in Shallow Water Overlying an Elastic Bottom Using Complex Pade Approximation

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The purpose of this paper is to describe an accurate computational method for underwater acoustic propagation problems in shallow water. Most of the available computational methods consider only longitudinal wave in a fluid model. These methods, however, may not be applied to all kinds of oceans because of the influence of shear wave in shallow water. In this paper, an elastic parabolic equation combined with the rotated Pade series for an accurate solution is derived. To confirm the validity of the proposed method, typical examples of sound propagation underwater are calculated in comparison with the conventional fluid PE method. Estimations of propagation pulse waveforms are performed under the condition that the propagation path is 5000 m in an ocean of 300 m depth. The result shows the difference of pulse waveforms between elastic and fluid PE models. It is also shown that consideration of the influence of shear wave in an elastic bottom is very important for an accurate calculation.

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