Boundary value problems of antennas on the metallic parabolic cylinder
Abstract
Boundary value problems of electromagnetic waves excited by electric and magnetic sources on the metallic parabolic cylinders are studied. Using the theory of eigenfunction expansion associated with the secondorder differential equations, the problem is first solved in the finite region. In this case the spectrum is discrete and the solutions are expressed in infinite series. By moving the outer cylinder to infinite distance, the spectrum becomes continuous and the solutions are in integral forms. The radiation resistances of elementary dipoles on the cylinder are calculated and compared with the results obtained from radiation resistances of the same dipoles placed on the edge of a semiinfinite metallic plate. In this limiting case, they coincide completely. It is noted that the finite curvature of the cylinder seems to increase or decrease the radiation resistance according to the relative orientation of the dipole with respect to the axis of the cylinder.
 Publication:

Scientia Sinica
 Pub Date:
 April 1978
 Bibcode:
 1978SciSn..21..173C
 Keywords:

 Antenna Design;
 Boundary Value Problems;
 Electric Dipoles;
 Metal Surfaces;
 Parabolic Reflectors;
 Eigenvectors;
 Electrical Resistance;
 Electromagnetic Fields;
 Maxwell Equation;
 Communications and Radar