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I" The book starts by reformulating the classical models of acous-
I tics in terms of standard models from linear elasticity. Then,
n O n non-classical loss models that follow power laws and which are
expressed via convolution models and fractional derivatives
Author: Sverre Holm are covered in depth. in addition, parallels are drawn to elec-
Copyright: 2019 tromagnetic waves in complex dielectric media. The book also
. -i Publisher: Springer International contains historical vignettes and important side notes about
Waves W Publishing the validity of central questions. While addressed primarily to
POWer_ Law Copyright Holder: Springer Nature physicists and engineers working in the field of acoustics, this
Ame n U anon Switzerland AG expert monograph will also be of interest to mathematicians,
Hardcover: ISBN 978-3-03044926-0 mathematical physicists, and geophysicists.
Edition Number: 1
' Number of Pages: XXXVLI, 312 Abimt the Author
Number of Illustrations and Tables: Sverre Holm was born in Oslo, Norway, in 1954. He received
60 blw illustrations, 82 color illustrations M.S. and Ph.D. degrees in electrical engineering from the
Topics: Acoustics Norwegian Institute of Technology (NTNU), Trondheim in
1978 and 1982, respectively.
. Couples fractional derivatives and power laws and gives
their multiple relaxation process interpretation He has academic experience from NTN U and Yarmouk
. Investigates causes of power law attenuation and dis- University in Iordan (1984-86). Since 1995 he has been a
persion such as interaction with hierarchical models of professor of signal processing and acoustic imaging at the
polymer chains and non-Newtonian viscosity University of Oslo. In 2002 he was elected a member of the
- Shows how fractional and multiple relaxation models Norwegian Academy of Technological Sciences.
are inherent in the grain shearing and extended Biot
descriptions of sediment acoustics His industry experience includes GE Vingmed Ultrasound
- Contains historical vignettes and side notes about the (1990-94), working on digital ultrasound imaging, and Sonitor
formulation of some of the concepts discussed Technologies (2000-05), where he developed ultrasonic indoor
positioning. He is currently involved with several startups in
This book integrates concepts from physical acoustics with the Oslo area working in the areas of acoustics and ultrasonics.
those from linear viscoelasticity and fractional linear visco-
elasticity. Compressional waves and shear waves in applications Dr. Holm has authored or co-authored around 220 publications
such as medical ultrasound, elastography, and sediment acous- and holds 12 patents. He has spent sabbaticals at GE Global
tics often follow power law attenuation and dispersion laws Research, NY (1998), lnstitut Langevin, ESPCI, Paris (2008-
that cannot be described with classical viscous and relaxation 09), and King’s College London (2014). His research interests
models. This is accompanied by temporal power laws rather include medical ultrasound imaging, elastography, modeling
than the temporal exponential responses of classical models. of waves in complex media, and ultrasonic positioning.
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