Sound Topology, Duality, Coherence and Wave-Mixing

An Introduction to the Emerging New Science of Sound

  • Pierre Deymier
  • Keith Runge

Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 188)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Pierre Deymier, Keith Runge
    Pages 1-36
  3. Pierre Deymier, Keith Runge
    Pages 37-80
  4. Pierre Deymier, Keith Runge
    Pages 81-161
  5. Pierre Deymier, Keith Runge
    Pages 163-259
  6. Pierre Deymier, Keith Runge
    Pages 261-318
  7. Pierre Deymier, Keith Runge
    Pages 319-360
  8. Back Matter
    Pages 361-363

About this book


This book offers an essential introduction to the notions of sound wave topology, duality, coherence and wave-mixing, which constitute the emerging new science of sound. It includes general principles and specific examples that illuminate new non-conventional forms of sound (sound topology), unconventional quantum-like behavior of phonons (duality), radical linear and nonlinear phenomena associated with loss and its control (coherence), and exquisite effects that emerge from the interaction of sound with other physical and biological waves (wave mixing). 

The book provides the reader with the foundations needed to master these complex notions through simple yet meaningful examples. General principles for unraveling and describing the topology of acoustic wave functions in the space of their Eigen values are presented. These principles are then applied to uncover intrinsic and extrinsic approaches to achieving non-conventional topologies by breaking the time revers

al symmetry of acoustic waves. Symmetry breaking can impart topological immunity to wave degradation from imperfection scattering and catalyze controlled coherence. In the intrinsic case and the phonon representation of acoustic waves, the self-interaction/interference of a wave through its supporting medium exposes the notion of duality in the quantum statistics (i.e. boson vs. fermion characterized by the symmetry of multiple particle states) and how the quantum analogue behaviors of sound can be exploited in the form of novel sound-based information transfer and processing devices. By considering media that mix different types of waves, the book addresses the interaction of sound with other physical and biological waves but also brings to light examples of extrinsic processes that can lead to symmetry breaking. The coherent conversion of sound into other types of waves as well as the sound-induced non-conventional topology of elastic, electronic, spin and biological waves are presented in the case of media exhibiting elasto-electronic, photo-elastic, magneto-elastic effects and biological mechano-transduction.


Acoustic Metamaterials Topological Insulator Non-Reciprocal Wave Propagation Nonlinear Acoustic Waves Time-Reversal Symmetry Breaking Calcium Waves Spin Waves Wave Phase Control Quantum Statistics Duality Phonon-Magnon Resonant Processes Phonon Drag

Authors and affiliations

  • Pierre Deymier
    • 1
  • Keith Runge
    • 2
  1. 1.Dept. of Materials Science and EngineeringUniversity of ArizonaTucsonUSA
  2. 2.Dept. of Materials Science and EngineeringUniversity of ArizonaTucsonUSA

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-62379-5
  • Online ISBN 978-3-319-62380-1
  • Series Print ISSN 0171-1873
  • Series Online ISSN 2197-4179
  • Buy this book on publisher's site