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Phase Velocity of Cancellous Bone: Negative Dispersion Arising from Fast and Slow Waves, Interference, Diffraction, and Phase Cancellation at Piezoelectric Receiving Elements

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Bone Quantitative Ultrasound

Abstract

Frequency-dependent phase velocity measurements may prove useful in bone quality assessment. However, the physical mechanisms of ultrasonic wave propagation in cancellous bone that govern phase velocity are not yet fully understood, particularly the phenomena that lead to the observed anomalous negative dispersion. This chapter provides an overview of phase velocity studies of cancellous bone, especially negative dispersion, and proposals for resolving the apparent conflict with the causality-imposed Kramers-Kronig relations.

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Acknowledgments

Work presented in this chapter was supported by NIH grants R01HL40302 and R01AR057433 and by NSF grant CBET-0717830.

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Authors and Affiliations

  1. Department of Physics, Washington University, 1105, 1 Brooking Drive, Saint Louis, MO, 63130, USA

    Christian C. Anderson, Adam Q. Bauer, Karen R. Marutyan, Mark R. Holland, G. Larry Bretthorst & James G. Miller

  2. Kazimierz Wielki University, Jana Karola Chodkiewicza 30, Bydgoszcz, Poland

    Michal Pakula

  3. CNRS, Laboratoire d’Imagerie Parametrique, Université Pierre et Marie Curie, 15, rue de L’Ecole de Medecine, 75006, Paris, France

    Pascal Laugier

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  1. Christian C. Anderson
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Correspondence to James G. Miller .

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  1. UMR CNRS, Labo. d'Imagerie Parametrique, Université Paris VI, rue de L'Ecole de Medecine 15, Paris, 75006, France

    Pascal Laugier

  2. , Labortatoire Modélisation Simulation Mul, CNRS, Avenue du Général de Gaulle, Créteil, 94010, France

    Guillaume Haïat

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Anderson, C.C. et al. (2011). Phase Velocity of Cancellous Bone: Negative Dispersion Arising from Fast and Slow Waves, Interference, Diffraction, and Phase Cancellation at Piezoelectric Receiving Elements. In: Laugier, P., Haïat, G. (eds) Bone Quantitative Ultrasound. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0017-8_12

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