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Scattering of obliquely incident waves by straight features in a plate
Institution:1. Institute of Applied Acoustics, Shaanxi Normal University, Xi’an 710062, China;2. School of Science, Xi’an Polytechnic University, Xi’an 710048, China;3. Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China;1. The University of Kansas, School of Medicine, Wichita;2. Johns Hopkins Ciccarone Center for the Prevention of Heart Disease, Baltimore, Md;3. Department of General of Internal Medicine, Virginia Commonwealth University Medical Center, Richmond;4. Center for Prevention and Wellness, Baptist Health South Florida, Miami, Fla;5. Henry Ford Hospital, Detroit, Mich;6. King Saud bin Abdulaziz University for Health Sciences, Riyadh, Saudi Arabia;7. King Abdullah International Medical Research Center, Riyadh, Saudi Arabia;8. King Abdulaziz Cardiac Center, Ministry of National Guard Health Affairs, Riyadh, Saudi Arabia;1. Kuban State University, Stavropolskaya str., 149, 350040 Krasnodar, Russian Federation;2. Helmut-Schmidt-University, Holstenhofweg 85, 22043 Hamburg, Germany;1. The Hong Kong Polytechnic University Shenzhen Research Institute, Shenzhen 518057, PR China;2. The Department of Mechanical Engineering, The Hong Kong Polytechnic University, Kowloon, Hong Kong Special Administrative Region;3. Laboratoire Vibrations Acoustique, Institut National des Sciences Appliquées (INSA) de Lyon, 69621, Villeurbanne, France
Abstract:The scattering of obliquely incident waves by straight features in a plate is solved analytically. The reflection matrix of a free straight edge and the scattering matrix of a straight thickness step are obtained respectively by modal decomposition based on a real orthogonal relation. The formulas are illustrated through numerical examples. The matrices are found to be Hermitian for the propagating modes; thus, the mode conversions are reciprocal in terms of energy. The matrices can be used to determine the scattering from more complicated straight features if the cross sections are approximated as sequences of stairs and steps.
Keywords:Mode decomposition  Oblique incidence  Straight features  Real orthogonal relation  Hermitian matrix
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