2009
DOI: 10.1121/1.3087427
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A bulk modulus dependent linear model for acoustical imaging

Abstract: Modeling the acoustical process of soft biological tissue imaging and understanding the consequences of the approximations required by such modeling are key steps for accurately simulating ultrasonic scanning as well as estimating the scattering coefficient of the imaged matter. In this document, a linear solution to the inhomogeneous ultrasonic wave equation is proposed. The classical assumptions required for linearization are applied; however, no approximation is made in the mathematical development regardin… Show more

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Cited by 15 publications
(10 citation statements)
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“…OCT is thus categorized as a pulse-echo imaging technique, along with radar, 26 sonar, 27 and ultrasound. 28 Although the latter three techniques have benefited from substantial improvements in both hardware (for transmission and reception) and software (for image enhancement), 29 -31 medical OCT applications are still adversely affected by strongly scattering and attenuating structures (e.g., pigment and blood).…”
mentioning
confidence: 99%
“…OCT is thus categorized as a pulse-echo imaging technique, along with radar, 26 sonar, 27 and ultrasound. 28 Although the latter three techniques have benefited from substantial improvements in both hardware (for transmission and reception) and software (for image enhancement), 29 -31 medical OCT applications are still adversely affected by strongly scattering and attenuating structures (e.g., pigment and blood).…”
mentioning
confidence: 99%
“…Based on differing assumptions, various expressions exist for SF: for instance, as a combination of fractional changes in density and speed of sound [14]; as fractional changes in bulk modulus [16]; or as fractional changes in acoustic impedance [15]. In the case of homogeneous scatterers placed in a homogeneous background, it is correct (up to a scaling factor) to set the estimated scattering function SF est to 1 where there is a scatterer, and set it to 0 where there is a background [17].…”
Section: B Estimation Of the Scattering Functionmentioning
confidence: 99%
“…Q=Q δ(t)δ(x)), but here it is allowed to be any kind of perturbation, (non)linear modification, or driving term we desire. For example, in the simple wave equations considered in this section, a dependence on the density r  ( ) r could be added, setting Q=(1/ρ) ∇ ρ·∇g, and so match a wave equation used for ultrasound propagation [10,11]. Alternatively, adding a loss term to Q with the form η ∂ t g would give us the time-dependent diffusion equation (TDDE) [1], which appears in a variety of contexts in physics, including acoustic waves in plasmas or the interstitial gas filling a porous, statistically isotropic, perfectly rigid solid [12]; it also models electromagnetic wave propagation through conductive media and is known as the telegrapher's equation.…”
Section: Directional Decompositionsmentioning
confidence: 99%
“…Using directional decomposition, a first order wave equation simpler than e.g. equation (10) in Pinton et al can be obtained rapidly with fewer and less restrictive approximations. Of course, some acoustic wave equations reduced down to apply to a single wave property will not have the second order derivatives needed for this factorization scheme.…”
Section: Directional Decompositionsmentioning
confidence: 99%