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Title: Ponderomotive dynamics of waves in quasiperiodically modulated media

Journal Article · · Physical Review A
 [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)

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.

Research Organization:
Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
Sponsoring Organization:
USDOD; USDOE Office of Science (SC), Fusion Energy Sciences (FES); USDOE National Nuclear Security Administration (NNSA), Office of Defense Science (NA-113)
Grant/Contract Number:
AC02-09CH11466; NA0002948; 32-CFR-168a
OSTI ID:
1347106
Alternate ID(s):
OSTI ID: 1347043; OSTI ID: 1351536
Journal Information:
Physical Review A, Vol. 95, Issue 3; ISSN 2469-9926
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 13 works
Citation information provided by
Web of Science

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Cited By (3)

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

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