Author: S. R. SESHADRI Publisher: ISBN: Category : Languages : en Pages : 1
Book Description
The scattering of a plane electromagnetic wave by a perfectly conducting semi-infinite screen embedded in a homogeneous plasma is investigated. A uniform magnetic field is assumed to be impressed externally in a direction parallel to the edge of the half-plane. The plasma is idealized by a dielectric characterized by a tensor dielectric constant. The direction of the incident wave is assumed to be in a plane perpendicular to that of the screen. This vector problem is separable into two equivalent scalar problems for which either the electric or the magnetic vector is parallel to the edge of the half-plane. It is found that for the case of the E-mode, the magnetic vector parallel to the edge of the halfplane satisfies a simple wave-equation and a new type of impedance boundary condition on the screen. This problem is formulated in terms of an integral equation which specifies the current induced on the screen. The integral equation is of the Wiener-Hopf type and is solved by the usual function-theoretic methods. A surface wave is found to exist for one orientation of the external magnetic field and the characteristics of this surface wave are determined. (Author).
Author: Demetrios G. Magiros Publisher: ISBN: Category : Eigenfunctions Languages : en Pages : 1
Book Description
The diffraction of a cylindrical wave by a perfectly conducting semi-infinite thin screen with a cylindrical tip is analyzed. Three different methods are employed to find the field: the geometrical theory of diffraction, an expansion in radial eigenfunctions and the Watson transformation of the angular eigenfunction expansion. The latter two methods yield the same result, which proves that the solution can be expanded in radial eigenfunctions even though they are not complete. The asymptotic form of the solution for large ka coincides precisely with the result given by the geometrical theory of diffraction. Here k equals 2 pi/lambda is the propagation constant of the field and a is the radius of the tip. This agreement proves that the geometrical theory is correct for this problem. The result determines how the field in the shadow depends upon the wavelength and the curvature of the shadow forming object. (Author).
Author: S. R. SESHADRI
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Author: U.S. Atomic Energy Commission. Division of Technical Information
Author: Demetrios G. Magiros
Author: United States. Air Force. Office of Scientific Research
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