2006
DOI: 10.1143/jjap.45.7186
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Applicability of Finite-Difference Time-Domain Method to Simulation of Wave Propagation in Cancellous Bone

Abstract: We study the dynamics of a three-dimensional laser bullet propagating inside a nonlinear saturable medium. We show that an increase of the pump parameter destabilizes the bullet and leads to its destruction through oscillations with increasing amplitude. We propose an inhomogeneous and anisotropic external excitation mechanism leading to a stable oscillating bullet. By varying the frequency of the external excitation, a stable quasi-in-phase or quasi-antiphase internal state can be reached.

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Cited by 69 publications
(54 citation statements)
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“…For example, Hosokawa [29] and Nagatani et al [30] have used FDTD methods to investigate the sensitivity of the fast and slow modes to various mass and structural parameters of trabecular bone. These studies aim to use additional information contained in the received signal to estimate bone strength, and ultimately fracture risk.…”
Section: Ultrasound Computer Simulation Examplesmentioning
confidence: 99%
“…For example, Hosokawa [29] and Nagatani et al [30] have used FDTD methods to investigate the sensitivity of the fast and slow modes to various mass and structural parameters of trabecular bone. These studies aim to use additional information contained in the received signal to estimate bone strength, and ultimately fracture risk.…”
Section: Ultrasound Computer Simulation Examplesmentioning
confidence: 99%
“…Hosokawa and Otani (1997) discovered one significant behavior of this propagation: An ultrasonic pulse propagated in trabecular bone separates into two waves. These two waves, called the fast wave and the slow wave, strongly reflect the bone volume fraction (spatial density of solid part inside bone) and structure, the alignment of trabeculae, and the elastic modulus (for example, Otani, 1997, 1998;Cardoso et al, 2003;Cardoso et al, 2008;Nagatani et al, 2006;Hosokawa, 2006aHosokawa, , 2007Hosokawa, , 2008bHosokawa, , 2009aMizuno et al, 2008;Mizuno et al, 2009;Mizuno et al, 2010). Hosokawa and Otani also reported that the attenuation of the fast wave increased in the megahertz range (Hosokawa and Otani, 1997;Otani, 2005).…”
Section: Introductionmentioning
confidence: 99%
“…An increasing number of studies describing the numerical simulation of QUS experiments have been published in the past decade and several groups worldwide have developed dedicated FDTD codes [31,32,33,34]. In this paper we have shown that the simulation of the measurement at the femoral neck is not practicable with FDTD alone.…”
Section: Discussionmentioning
confidence: 94%