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This paper derives a formula for the Minnaert resonance frequencies of arbitrarily shaped bubbles using layer potential techniques and Gohberg–Sigal theory. It provides mathematical justification for the monopole approximation in the scattering of acoustic waves by bubbles at their resonant frequency, with numerical examples validating the findings in two dimensions. The results have significant implications for applications such as superresolution medical ultrasonic imaging and the design of new acoustic m

Author
thomas.goliu
Language
EN

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