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Mathematical modelization of the Photoacoustic effect generated by the\n heating of metallic nanoparticles

2017/01/23 by Faouzi Triki, Triki, Faouzi, Margaux Vauthrin +1
Engineering · #FOS: Physical sciences #Mathematical Physics (math-ph) #Photoacoustic and Ultrasonic Imaging #Thermography and Photoacoustic Techniques #Ultrasound and Hyperthermia Applications

paper · pdf · doi:10.48550/arxiv.1701.06396

openalex publication_date 2017/01/23 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28

Abstract

This paper is devoted to the modelization of the photoacoustic effect\ngenerated by the electromagnetic heating of metallic nanoparticles embedded in\na biological tissue. We first derive an asymptotic models for the plasmonic\nresonances and the electromagnetic fields. We then describe the acoustic\ngeneration created by the electromagnetic heating of the nanoparticle.\nPrecisely, we derive the model equations that describes the coupling between\nthe temperature rise in the medium and the acoustic wave generation. We obtain\na direct relation between the acoustic waves and the electromagnetic external\nsources. Finally, we solve the multiwave inverse problem that consists in the\nrecovery of the electric permittivity of the biological tissue from the\nmeasurements of the generated acoustic waves on the boundary of the sample.\n

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