skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Ponderomotive dynamics of waves in quasiperiodically modulated media

Abstract

Similarly to how charged particles experience time-averaged ponderomotive forces in high-frequency fields, linear waves also experience time-averaged refraction in modulated media. We propose a covariant variational theory of this ponderomotive effect on waves for a general nondissipative linear medium. Using the Weyl calculus, our formulation accommodates waves with temporal and spatial period comparable to that of the modulation (provided that parametric resonances are avoided). This theory also shows that any wave is, in fact, a polarizable object that contributes to the linear dielectric tensor of the ambient medium. Furthermore, the dynamics of quantum particles is subsumed as a special case. As an illustration, ponderomotive Hamiltonians of quantum particles and photons are calculated within a number of models. We also explain a fundamental connection between these results and the well-known electrostatic dielectric tensor of quantum plasmas.

Authors:
 [1];  [2]
  1. Princeton Univ., NJ (United States). Dept. of Astrophysical Sciences
  2. Princeton Univ., NJ (United States). Dept. of Astrophysical Sciences; Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Publication Date:
Research Org.:
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Sponsoring Org.:
USDOD; USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24); USDOE National Nuclear Security Administration (NNSA), Office of Defense Science (NA-113)
OSTI Identifier:
1347106
Alternate Identifier(s):
OSTI ID: 1347043; OSTI ID: 1351536
Grant/Contract Number:
AC02-09CH11466; NA0002948; 32-CFR-168a
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review A
Additional Journal Information:
Journal Volume: 95; Journal Issue: 3; Journal ID: ISSN 2469-9926
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Citation Formats

Ruiz, D. E., and Dodin, I. Y.. Ponderomotive dynamics of waves in quasiperiodically modulated media. United States: N. p., 2017. Web. doi:10.1103/PhysRevA.95.032114.
Ruiz, D. E., & Dodin, I. Y.. Ponderomotive dynamics of waves in quasiperiodically modulated media. United States. doi:10.1103/PhysRevA.95.032114.
Ruiz, D. E., and Dodin, I. Y.. Tue . "Ponderomotive dynamics of waves in quasiperiodically modulated media". United States. doi:10.1103/PhysRevA.95.032114. https://www.osti.gov/servlets/purl/1347106.
@article{osti_1347106,
title = {Ponderomotive dynamics of waves in quasiperiodically modulated media},
author = {Ruiz, D. E. and Dodin, I. Y.},
abstractNote = {Similarly to how charged particles experience time-averaged ponderomotive forces in high-frequency fields, linear waves also experience time-averaged refraction in modulated media. We propose a covariant variational theory of this ponderomotive effect on waves for a general nondissipative linear medium. Using the Weyl calculus, our formulation accommodates waves with temporal and spatial period comparable to that of the modulation (provided that parametric resonances are avoided). This theory also shows that any wave is, in fact, a polarizable object that contributes to the linear dielectric tensor of the ambient medium. Furthermore, the dynamics of quantum particles is subsumed as a special case. As an illustration, ponderomotive Hamiltonians of quantum particles and photons are calculated within a number of models. We also explain a fundamental connection between these results and the well-known electrostatic dielectric tensor of quantum plasmas.},
doi = {10.1103/PhysRevA.95.032114},
journal = {Physical Review A},
number = 3,
volume = 95,
place = {United States},
year = {Tue Mar 14 00:00:00 EDT 2017},
month = {Tue Mar 14 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 2works
Citation information provided by
Web of Science

Save / Share:
  • Cited by 2
  • Similarly to how charged particles experience time-averaged ponderomotive forces in high-frequency fields, linear waves also experience time-averaged refraction in modulated media. Here we propose a covariant variational theory of this ponderomotive effect on waves for a general nondissipative linear medium. Using the Weyl calculus, our formulation accommodates waves with temporal and spatial period comparable to that of the modulation (provided that parametric resonances are avoided). Our theory also shows that any wave is, in fact, a polarizable object that contributes to the linear dielectric tensor of the ambient medium. The dynamics of quantum particles is subsumed as a special case.more » As an illustration, ponderomotive Hamiltonians of quantum particles and photons are calculated within a number of models. We also explain a fundamental connection between these results and the well-known electrostatic dielectric tensor of quantum plasmas.« less
  • Nonlinear interactions of waves via instantaneous cross-phase modulation can be cast in the same way as ponderomotive wave-particle interactions in high-frequency electromagnetic fi eld. The ponderomotive effect arises when rays of a probe wave scatter off perturbations of the underlying medium produced by a second, modulation wave, much like charged particles scatter off a quasiperiodic field. Parallels with the point-particle dynamics, which itself is generalized by this theory, lead to new methods of wave manipulation, including asymmetric barriers for light.
  • A helicon source is driven with amplitude modulated RF at modulation frequencies near the ion cyclotron frequency in the VINETA device. In response to the modulation propagating electromagnetic waves are found, whose dispersion differs significantly from linear wave dispersion theory. This indicates that the observed waves are generated by non-linear wave coupling of the helicon waves with a second strongly damped or evanescent wave. Laser induced fluorescence measurements reveal a local increase of the ion temperature at the minimum of the modulation drive.
  • We consider multipole transitions between Rydberg states in amplitude-modulated standing-wave ponderomotive potentials. For experimentally realizable depths of the ponderomotive potential, we find Rabi frequencies of tens of kilohertz. The transitions are not subject to dipole selection rules and allow for changes in the angular momentum quantum number up to about 5. The effects of energy level shifts caused by the ponderomotive potential are discussed.