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2017 | OriginalPaper | Buchkapitel

Ray Tracing Method for a High-Frequency Propagation of the Ultrasonic Wave Through a Triple-Periodic Array of Spheres

verfasst von : Nikolay V. Boyev, M. A. Sumbatyan

Erschienen in: Wave Dynamics and Composite Mechanics for Microstructured Materials and Metamaterials

Verlag: Springer Singapore

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Abstract

The Ray method is applied to study the propagation of a high-frequency plane wave through a triple-periodic system of the spherical obstacles. The initial plane wave is taken as a superposition of spherical waves, which in discretization are reduced to a system of waves, each of them being studied by the Ray method in a local formulation. On the first step, we calculate the geometric parameters of the trajectory of each ray transmitted through the system of spherical obstacles, which is a spatial broken polyline. On the second step, we calculate the wave characteristics, by using methods of the short-wave diffraction.

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Vorheriges Kapitel On the Models of Three-Layered Plates and Shells with Thin Soft Core

Nächstes Kapitel An Experimental Model of the Ultrasonic Wave Propagation Through a Doubly-Periodic Array of Defects

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Titel: Ray Tracing Method for a High-Frequency Propagation of the Ultrasonic Wave Through a Triple-Periodic Array of Spheres
verfasst von: Nikolay V. Boyev
M. A. Sumbatyan
Verlag: Springer Singapore
Buch: Wave Dynamics and Composite Mechanics for Microstructured Materials and Metamaterials
Print ISBN: 978-981-10-3796-2

Electronic ISBN: 978-981-10-3797-9

Copyright-Jahr: 2017
DOI: https://doi.org/10.1007/978-981-10-3797-9_10

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