EM-Wave Diffraction by a Finite Plate with Dirichlet Conditions in the Ionosphere of Cold Plasma


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Abstract

In the current communication, the problem of plane wave diffraction by a conductible plate of finite length in the presence of cold plasma is investigated. The boundary-value problem corresponding to this model is formulated by Fourier transform which then leads to the Wiener−Hopf equation. The resulting equation has been solved by the Wiener−Hopf procedure in a standard way. The separated field (diffracted field) is analyzed in an anisotropic medium using asymptotic expansion and modified stationary phase method. The problem can be made simple by assuming ε2→0, where ε2 is the element of permittivity tensor. This happens, if the operating frequency is assumed to be very large as compared to ωc (cyclotron frequency) while it is of same order of ωp (the plasma frequency). The case ε1 =1, ε2→0 leads to the results for soft plate of finite length in an isotropic medium. Graphical study is performed to investigate the behavior of separated field for various physical parameters for isotropic and anisotropic media.

About the authors

S. Hussain

Department of Mathematics

Author for correspondence.
Email: shussain@math.qau.edu.pk
Pakistan, Quaid-I-Azam University 45320, Islamabad, 44000

M. Ayub

Department of Mathematics

Email: shussain@math.qau.edu.pk
Pakistan, Quaid-I-Azam University 45320, Islamabad, 44000

G. Rasool

School of Mathematical Sciences

Email: shussain@math.qau.edu.pk
China, Hangzhou, 310027

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