Ultrasonic waveguide with square wave surface grating

Omar R. Asfar; Mohmmed H. Bataineh; Muhammad A. Hawwa

doi:10.1109/TUFFC.2010.1617

Ultrasonic waveguide with square wave surface grating

Omar R. Asfar
, Mohmmed H. Bataineh
, Muhammad A. Hawwa

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

The effect of spatial harmonics of a square-wave surface grating on the multiband frequency response of ultrasonic SH waves in an elastic plate is investigated. Stopbands are found to occur under simultaneous occurrence of first-order and higher-order Bragg resonances together with co-directional and/or contra-directional mode coupling conditions. The odd harmonic nature of the structure causes stopbands to appear above the cutoff frequencies of the odd-numbered modes. The attenuation within stopbands is found to be greatest when all propagating modes are coupled and reflected. The simultaneous resonance conditions for higher order stopbands must contain at least one co-directional mode coupling condition. The analysis is performed according to the multiple scales scheme, leading to the derivation of coupled mode equations, which are solved numerically using the fundamental matrix method.

Original language	English
Article number	5529467
Pages (from-to)	1797-1803
Number of pages	7
Journal	IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
Volume	57
Issue number	8
DOIs	https://doi.org/10.1109/TUFFC.2010.1617
State	Published - Aug 2010

Bibliographical note

Funding Information:
Manuscript received november 2, 2009; accepted March 30, 2010. M. a. Hawwa acknowledges the support by King Fahd University of Petroleum & Minerals (grant no. IP-2007-31). o. r. asfar is with the Electrical Engineering department, Jordan University of science & Technology, Irbid, Jordan. M. H. Bataineh is with the communication Engineering department, Hijjawi Faculty for Engineering Technology, yarmouk University, Irbid, Jordan. M. a. Hawwa is with the department of Mechanical Engineering, King Fahd University of Petroleum & Minerals, dhahran, saudi arabia (e-mail: [email protected]). digital object Identifier 10.1109/TUFFc.2010.1617

ASJC Scopus subject areas

Instrumentation
Acoustics and Ultrasonics
Electrical and Electronic Engineering

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10.1109/TUFFC.2010.1617

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title = "Ultrasonic waveguide with square wave surface grating",

abstract = "The effect of spatial harmonics of a square-wave surface grating on the multiband frequency response of ultrasonic SH waves in an elastic plate is investigated. Stopbands are found to occur under simultaneous occurrence of first-order and higher-order Bragg resonances together with co-directional and/or contra-directional mode coupling conditions. The odd harmonic nature of the structure causes stopbands to appear above the cutoff frequencies of the odd-numbered modes. The attenuation within stopbands is found to be greatest when all propagating modes are coupled and reflected. The simultaneous resonance conditions for higher order stopbands must contain at least one co-directional mode coupling condition. The analysis is performed according to the multiple scales scheme, leading to the derivation of coupled mode equations, which are solved numerically using the fundamental matrix method.",

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note = "Funding Information: Manuscript received november 2, 2009; accepted March 30, 2010. M. a. Hawwa acknowledges the support by King Fahd University of Petroleum \& Minerals (grant no. IP-2007-31). o. r. asfar is with the Electrical Engineering department, Jordan University of science \& Technology, Irbid, Jordan. M. H. Bataineh is with the communication Engineering department, Hijjawi Faculty for Engineering Technology, yarmouk University, Irbid, Jordan. M. a. Hawwa is with the department of Mechanical Engineering, King Fahd University of Petroleum \& Minerals, dhahran, saudi arabia (e-mail: [email protected]). digital object Identifier 10.1109/TUFFc.2010.1617",

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N2 - The effect of spatial harmonics of a square-wave surface grating on the multiband frequency response of ultrasonic SH waves in an elastic plate is investigated. Stopbands are found to occur under simultaneous occurrence of first-order and higher-order Bragg resonances together with co-directional and/or contra-directional mode coupling conditions. The odd harmonic nature of the structure causes stopbands to appear above the cutoff frequencies of the odd-numbered modes. The attenuation within stopbands is found to be greatest when all propagating modes are coupled and reflected. The simultaneous resonance conditions for higher order stopbands must contain at least one co-directional mode coupling condition. The analysis is performed according to the multiple scales scheme, leading to the derivation of coupled mode equations, which are solved numerically using the fundamental matrix method.

AB - The effect of spatial harmonics of a square-wave surface grating on the multiband frequency response of ultrasonic SH waves in an elastic plate is investigated. Stopbands are found to occur under simultaneous occurrence of first-order and higher-order Bragg resonances together with co-directional and/or contra-directional mode coupling conditions. The odd harmonic nature of the structure causes stopbands to appear above the cutoff frequencies of the odd-numbered modes. The attenuation within stopbands is found to be greatest when all propagating modes are coupled and reflected. The simultaneous resonance conditions for higher order stopbands must contain at least one co-directional mode coupling condition. The analysis is performed according to the multiple scales scheme, leading to the derivation of coupled mode equations, which are solved numerically using the fundamental matrix method.

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ER -

Ultrasonic waveguide with square wave surface grating

Abstract

Bibliographical note

ASJC Scopus subject areas

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