Parametric amplification of electromagnetic plasma waves in resonance with a dispersive background gravitational wave

Swadesh M. Mahajan and Felipe A. Asenjo
Phys. Rev. E 107, 035205 – Published 21 March 2023

Abstract

It is shown that a subluminal electromagnetic plasma wave, propagating in phase with a background subluminal gravitational wave in a dispersive medium, can undergo parametric amplification. For these phenomena to occur, the dispersive characteristics of the two waves must properly match. The response frequencies of the two waves (medium dependent) must lie within a definite and restrictive range. The combined dynamics is represented by a Whitaker-Hill equation, the quintessential model for parametric instabilities. The exponential growth of the electromagnetic wave is displayed at the resonance; the plasma wave grows at the expense of the background gravitational wave. Different physical scenarios, where the phenomenon can be possible, are discussed.

  • Figure
  • Received 29 November 2022
  • Accepted 7 March 2023

DOI:https://doi.org/10.1103/PhysRevE.107.035205

©2023 American Physical Society

Physics Subject Headings (PhySH)

Plasma PhysicsGravitation, Cosmology & Astrophysics

Authors & Affiliations

Swadesh M. Mahajan1,* and Felipe A. Asenjo2,†

  • 1Institute for Fusion Studies, The University of Texas at Austin, Austin, Texas 78712, USA
  • 2Facultad de Ingeniería y Ciencias, Universidad Adolfo Ibáñez, Santiago 7941169, Chile

  • *mahajan@mail.utexas.edu
  • felipe.asenjo@uai.cl

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Vol. 107, Iss. 3 — March 2023

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