Abstract

In this work, we numerically investigate the diffraction management of longitudinal elastic waves propagating in a two-dimensional metallic phononic crystal. We demonstrate that this structure acts as an “ultrasonic lens”, providing self-collimation or focusing effect at a certain distance from the crystal output. We implement this directional propagation in the design of a coupling device capable to control the directivity or focusing of ultrasonic waves propagation inside a target object. These effects are robust over a broad frequency band and are preserved in the propagation through a coupling gel between the “ultrasonic lens” and the solid target. These results may find interesting industrial and medical applications, where the localization of the ultrasonic waves may be required at certain positions embedded in the object under study. An application example for non-destructive testing with improved results, after using the ultrasonic lens, is discussed as a proof of concept for the novelty and applicability of our numerical simulation study.

Highlights

  • The ability to manage the diffraction of ultrasound waves has been a subject of study for decades in many applications, such as radar, sonar, theaters, echography, etc. [1,2]

  • We propose a 2D metallic phononic crystals (PC) device that coupled to an ultrasound transducer is able to manage the diffraction of ultrasonic longitudinal elastic waves

  • This is a significant improvement applied to detect the defect location. This will be useful in case we want to detect multiple in crack detectability by the use of a PC lens in comparison with traditional techniques

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Summary

Introduction

The ability to manage the diffraction of ultrasound waves has been a subject of study for decades in many applications, such as radar, sonar, theaters, echography, etc. [1,2]. Diffraction control of acoustic waves when they propagate in a PC has been proven in different theoretical and experimental studies for propagation in linear [9] and nonlinear [10] fluids and in solids. Sharma et al designed a directivity-based barrier for the local control of low-frequency noise using a point mass attachment on the barrier surface [18]. They showed analytical equations for the vibration response and sound transmission through the unloaded and mass-loaded plates. One possible solution to reduce the diffraction is to insert a 2D PC acting as an acoustic lens, capable of modifying and controlling the waves propagation, between the transducer and the object under study.

Phononic Crystal Dispersion Band Analysis
Dispersion characteristics of the
Non-Diffractive Wave Propagation
Ultrasonic
Using elementPC
Figurethrough
(Figures
Findings
10. Using element

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