Polarization singularities and Möbius strips in sound and water-surface waves

Abstract

We show that polarization singularities, generic for any complex vector field but so far mostly studied for electromagnetic fields, appear naturally in inhomogeneous yet monochromatic sound and water-surface (e.g., gravity or capillary) wave fields in fluids or gases. The vector properties of these waves are described by the velocity or displacement fields characterizing the local oscillatory motion of the medium particles. We consider a number of examples revealing C-points of purely circular polarization and polarization Möbius strips (formed by major axes of polarization ellipses) around the C-points in sound and gravity wave fields. Our results (i) offer a new readily accessible platform for studies of polarization singularities and topological features of complex vector wave fields and (ii) can play an important role in characterizing vector (e.g., dipole) wave–matter interactions in acoustics and fluid mechanics.

Document Details

Document Type
Pub Defense Publication
Publication Date
Jul 01, 2021
Source ID
10.1063/5.0056333

Entities

People

  • Danica Sugic
  • Etienne Brasselet
  • Franco Nori
  • Konstantin Y Bliokh
  • Mathias Perrin
  • Miguel A Alonso

Organizations

  • Aix-Marseille University
  • Army Research Office
  • Foundational Questions Institute
  • Japan Science and Technology Agency
  • Japan Society for the Promotion of Science
  • NTT, Inc.
  • RIKEN Center for Quantum Computing
  • University of Bordeaux
  • University of Michigan
  • University of Rochester

Tags

Fields of Study

  • Physics

Readers

  • Marine Hydrodynamics
  • Plasma Physics / Magnetohydrodynamics
  • Theoretical Analysis.