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Chin. Phys. B, 2020, Vol. 29(3): 034302    DOI: 10.1088/1674-1056/ab6843

Second harmonic magnetoacoustic responses of magnetic nanoparticles in magnetoacoustic tomography with magnetic induction

Gepu Guo(郭各朴)1, Ya Gao(高雅)1, Yuzhi Li(李禹志)1, Qingyu Ma(马青玉)1, Juan Tu(屠娟)2, Dong Zhang(章东)2
1 School of Physics and Technology, Nanjing Normal University, Nanjing 210023, China;
2 Institute of Acoustics, Nanjing University, Nanjing 210093, China
Abstract  Due to the unique magnetic, mechanical and thermal properties, magnetic nanoparticles (MNPs) have comprehensive applications as the contrast and therapeutic agents in biomedical imaging and magnetic hyperthermia. The linear and nonlinear magnetoacoustic responses determined by the magnetic properties of MNPs have attracted more and more attention in biomedical engineering. By considering the relaxation time of MNPs, we derive the formulae of second harmonic magnetoacoustic responses (2H-MARs) for a cylindrical MNP solution model based on the mechanical oscillations of MNPs in magnetoacoustic tomography with magnetic induction (MAT-MI). It is proved that only the second harmonic magnetoacoustic oscillations can be generated by MNPs under an alternating magnetic excitation. The acoustic pressure of the 2H-MAR is proportional to the square of the magnetic field intensity and exhibits a linear increase with the concentration of MNPs. Numerical simulations of the 2H-MAR are confirmed by the experimental measurements for various magnetic field intensities and solution concentrations using a laser vibrometer. The favorable results demonstrate the feasibility of the harmonic measurements without the fundamental interference of the electromagnetic excitation, and suggest a new harmonic imaging strategy of MAT-MI for MNPs with enhanced spatial resolution and improved signal-to-noise ratio in biomedical applications.
Keywords:  magnetoacoustic tomography with magnetic induction      second harmonic magnetoacoustic responses      magnetic nanoparticles      magnetic force      mechanical oscillations  
Received:  17 November 2019      Revised:  14 December 2019      Accepted manuscript online: 
PACS:  43.80.Ev (Acoustical measurement methods in biological systems and media)  
  72.55.+s (Magnetoacoustic effects)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11934009, 11974187, and 11604156).
Corresponding Authors:  Qingyu Ma     E-mail:

Cite this article: 

Gepu Guo(郭各朴), Ya Gao(高雅), Yuzhi Li(李禹志), Qingyu Ma(马青玉), Juan Tu(屠娟), Dong Zhang(章东) Second harmonic magnetoacoustic responses of magnetic nanoparticles in magnetoacoustic tomography with magnetic induction 2020 Chin. Phys. B 29 034302

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