Modified Ji-Huan He’s Frequency Formulation for Large-Amplitude Electron Plasma Oscillations
Year: 2024
Type: article
Abstract: This paper examines oscillations governed by the generic nonlinear differential equation u″=ωp021−u∓2β2uγ, where ωp0, β and γ are positive constants. The aforementioned differential equation is of particular importance, as it describes electron plasma oscillations influenced by temperature effects and large oscillation amplitudes. Since no analytical solution exists for the oscillation period in terms of ωp0, β,γ and the oscillation amplitude, accurate approximations are derived. A modified He’s approach is used to account for the non-symmetrical oscillation around the equilibrium position. The motion is divided into two parts: umin≤u
Source: Atoms
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,705
OpenAlex ID: W4405317431
