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The homogenization problem for monochromatic scalar wave fields in the medium with a random set of spherical inclusions is solved by two self-consistent methods: the effective medium and effective field methods. Predictions of the methods for phase velocities and attenuation factors of the mean wave fields in the composites are compared in the long, middle, and short-wave regions of the propagating waves.

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Self-consistent Methods for Solution of the Homogenization Problem in the Case of Scalar Waves

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  • 发表日期：

    2026年

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  • Sergey Kanaun,
  • Valery Levin

摘要

The homogenization problem for monochromatic scalar wave fields in the medium with a random set of spherical inclusions is solved by two self-consistent methods: the effective medium and effective field methods. Predictions of the methods for phase velocities and attenuation factors of the mean wave fields in the composites are compared in the long, middle, and short-wave regions of the propagating waves.