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Title: Ponderomotive dynamics of waves in quasiperiodically modulated media

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:
Grant/Contract Number:
AC02-09CH11466; NA0002948; 32-CFR-168a
Type:
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)
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)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY
OSTI Identifier:
1347106
Alternate Identifier(s):
OSTI ID: 1347043; OSTI ID: 1351536

Ruiz, D. E., and Dodin, I. Y.. Ponderomotive dynamics of waves in quasiperiodically modulated media. United States: N. p., 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.. 2017. "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 = {2017},
month = {3}
}