Electromagnetic Wave Scattering From a Thin Annular Magnetized Relativistic Rotating Electron Beam With Dielectric Rod

Scattering from an eccentric system, including a dielectric rod placed in a thin annular magnetized relativistic rotating electron beam (TAMRREB)

“…It shows generally that the cross section with increasing ε d will also increase. As it was mentioned in [29], there are several cases to achieve the system to resonance condition which refer to conditions of singularities for A n coefficient. At first from the argument βd in Equations (29)-(32), the role of β in appearance of the resonances will be obvious.…”

“…At each stage to check the accuracy of graphs and equations, the curves have been examined for the coaxial cases presented in [29]. It must be noted that in all previous relations, the prime denotes to the derivative with respect to the argument.…”

Scattering of electromagnetic waves from a magnetized plasma column at oblique incidence

“…16 In the case of the plasma column, when electromagnetic waves (in TE or TM mode) are incident on a magnetized plasma at normal angle, the scattered and transmitted waves are in two independent modes, namely, B and E-mode. 14,15 This is not true in the general case of oblique incidence. It is evident from Eqs.…”

“…The Bessel and Hankel functions are the solutions of Eqs. (11) and (12), as well as, (13) and (14). 18 The Hankel function of the first kind is the appropriate solution for outside of plasma column, while the Bessel function is the solution for the inside region.…”

“…The scattered fields can also be computed by application of Maxwell's equations and the corresponding boundary conditions. [13][14][15][16] Rusch and Yeh investigated the scattering of electromagnetic waves by an infinite cylinder coated with an inhomogeneous and anisotropic plasma sheath using Maxwell's equations. 13 They solved Maxwell's equations analytically and calculated the scattered power and backscattering cross section by the application of boundary conditions.…”