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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. 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. 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); 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. https://doi.org/10.1103/PhysRevA.95.032114
Ruiz, D. E., and Dodin, I. Y. 2017. "Ponderomotive dynamics of waves in quasiperiodically modulated media". United States. https://doi.org/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. 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. 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},
url = {https://www.osti.gov/biblio/1347106}, journal = {Physical Review A},
issn = {2469-9926},
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:

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Cited by: 12 works
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Works referencing / citing this record:

Uphill acceleration in a spatially modulated electrostatic field particle accelerator
journal, November 2018


Ponderomotive and resonant effects in the acceleration of particles by electromagnetic modes
journal, March 2019


Quasioptical modeling of wave beams with and without mode conversion. I. Basic theory
journal, July 2019