Decomposition of transmitted ultrasound wave through a 2‐D muscle–bone system. (18th March 2022)

• Record Type: Journal Article
• Authors: Gilbert, Robert P.; Shoushani, Michael
• Is Part Of: Mathematical methods in the applied sciences. Volume 45:Number 11(2022)
• Page Start: 6568
• Page End: 6582
• Publication Date: 2022-03-18
• Subjects: acoustics -- calcified tissue -- partial differential equations -- Vekua decomposition; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.8191
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : In this paper, we investigate ultrasound waves passing through a skeletal muscle segment of a specimen. The model is solved using an extension of a method due to Ilya Vekua. An ansatz is made that a solution to a partial differential equation can be found in a form resembling the ansatz of Vekua. It is shown that this is indeed possible. This method is used continuously throughout the paper to find simple representations of the acoustic equations in the different muscle and bone regions.