$k$-space theory and convective gains of stimulated Raman side scattering

$k$ -space theory and convective gains of stimulated Raman side scattering

C. Z. Xiao, Q. Wang, and J. F. Myatt

Phys. Rev. E 107, 025203 – Published 6 February 2023

Abstract

We have developed a $k$ -space theory for stimulated Raman scattering. The theory is used to calculate the convective gain of stimulated Raman side scattering (SRSS) in order to clarify the discrepancies found between previous gain formulas proposed in the literature. The gains are dramatically modified by the eigenvalue of SRSS, and the maximum gain occurs not at the perfect wave-number matching condition but instead at a wave number having a small deviation that is associated with the eigenvalue. Numerical solutions of the $k$ -space theory equations are compared with, and used to verify, analytically derived gains. We demonstrate connections to the existing path integral theories, and we derive a similar path integral formula in $k$ space.

Received 2 November 2022
Accepted 19 January 2023

DOI:https://doi.org/10.1103/PhysRevE.107.025203

Physics Subject Headings (PhySH)

Inertial confinement fusion Stimulated Brillouin & Raman scattering in plasmas

Plasma Physics

Authors & Affiliations

C. Z. Xiao^1,2,3,*, Q. Wang², and J. F. Myatt^2,†

¹School of Physics and Electronics, Hunan University, Changsha 410082, China
²Department of Electrical and Computer Engineering, 9211 116 St. NW, University of Alberta, Alberta, Canada T6G 1H9
³Collaborative Innovation Center of IFSA (CICIFSA), Shanghai Jiao Tong University, Shanghai 200240, China

^*xiaocz@hnu.edu.cn
^†myatt@ualberta.ca

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Vol. 107, Iss. 2 — February 2023

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