Electromagnetic Scattering of Inhomogeneous Plane Wave by Ensemble of Cylinders

The interaction between an ensemble of cylinders and an inhomogeneous plane wave is introduced and is determined, in the present paper, through a rigorous theoretical approach. Scattered electromagnetic field generated by an indefinite number of infinite circular cylinders is analyzed by the application of the generalized vector cylinder harmonics (VCH) expansion. The exact mathematical model relied upon to represent this scenario considers the so-called complex-angle formalism reaching a superposition of vectorial cylindrical-harmonics and Foldy-Lax Multiple scattering equations (FLMSE) to account for the multiscattering process between the cylinders. The method was validated by comparing the numerical results obtained with the use of the finite element method and a homemade Matlab code

New capabilities of Chetaev´s model

This paper considers anomalies in the magnetotelluric field in the Pc3 range of geomagnetic pulsations. We report experimental data on Pc3 field recordings which show negative (from Earth’s surface to air) energy fluxes Sz<0 and reflection coefficients |Q|>1. Using the model of inhomogeneous plane wave (Chetaev’s model), we try to analytically interpret anomalies of energy fluxes. We present two three-layer models with both electric and magnetic modes satisfying the condition |Qh|>1. Here we discuss a possibility of explaining observable effects by the resonance interaction between inhomogeneous plane waves and layered media.

New capabilities of Chetaev´s model

This paper considers anomalies in the magnetotelluric field in the Pc3 range of geomagnetic pulsations. We present experimental data on Pc3 field recording which show negative (from Earth’s surface to air) energy fluxes Sz&#60;0 and reflection coefficients |Q|&#62;1. Using the model of inhomogeneous plane wave (Chetaev’s model), we try to analytically interpret anomalies of energy fluxes. According to a mathematical experiment there are two three-layer models with both electrical and magnetic modes satisfying the condition |Qh|&#62;1. Here we discuss a possibility of explaining observable effects within the framework of the resonance model inhomogeneous plane wave — layered medium.