Adequacy of Modeling the Energy Loss Function of Fast Electrons Taking Into Account Quantum Effects
Aktaev N.E. Li H. Zhou Z. Kudryavtsev A.A. Yerzhanov K.K. Gong D. Yuan C.
2026Institute of Electrical and Electronics Engineers Inc.
IEEE Transactions on Plasma Science
2026
The behavior of the energy loss function (ELF) for fast electrons in ionospheric plasma is investigated over a wide energy range. It is demonstrated that at high energies (greater than 2 eV), the results obtained using the widely used Swartz approximation for calculating energy losses deviate significantly from the values obtained using the quantum approach proposed by Larkin. Using the kinetic approach, a universal expression for calculating losses over a wide energy range is derived. This expression yields results that agree well with those obtained using the Swartz approximation for low energies (less than 2 eV) and those calculated taking quantum effects into account using Larkin’s approach.
Energy loss function (ELF) , ionospheric plasma , Swartz approximation , unified Itikawa–Aono theory
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School of Physics, Harbin Institute of Technology, Harbin, 150001, China
China Research Institute of Radio Wave Propagation, Qingdao, 266107, China
Harbin Institute of Technology, Heilongjiang Provincial Key Laboratory of Plasma Physics and Application Technology, School of Physics, Harbin, 150001, China
Department of Theoretical Physics, Eurasian National University, Astana, 010008, Kazakhstan
School of Physics
China Research Institute of Radio Wave Propagation
Harbin Institute of Technology
Department of Theoretical Physics
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