RADIATION FROM SLOT ANTENNAS ON CONES IN THE PRESENCE OF A LAYERED PLASMA SHEATH
ELECTROMAGNETIC RESEARCH CORP COLLEGE PARK MD
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The radiation from slot antennas on a cone in the presence of an inhomogeneous sheath is treated. The sheath is considered as being made up of one or two conical layers, each of which is homogeneous. The boundary conditions lead to a system of integral equations, which number 4M 4 for a sheath composed of M1 or 2 conical layers. These are reduced to singular integral equations of Cauchy type, which are solved in iterative fashion. For sufficiently fine stratification of the sheath, the first iteration should suffice. In general, fields of both magnetic and electric types are generated in the presence of a sheath, even though only a field of magnetic type may be generated in free space. For a ring slot, however, in which the excitation is azimuthally symmetrical, only a field of magnetic type is generated even in the presence of a sheath. It is shown that the solution for this case forms the basis of the solution for the general case. The far field is found by a multidimensional saddle point evaluation. This is illustrated in detail for the free-space case, and then the far field patterns in the presence of a sheath are determined. This can be carried out successfully for all components, and to arbitrary orders of iteration.
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