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Analysis and Synthesis of Wire Antennas (Electronic & by B.D. Popovic, etc., M.B. Dragovic, A.R. Djordjevic

By B.D. Popovic, etc., M.B. Dragovic, A.R. Djordjevic

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In addition, in order to provide 2 2 d I/dz further from the first This is essential for obtaining a good solution with the two- potential and other equations based directly on the boundary conditions for the electric field. 2 presents the antenna admittance and the peak total normalized electric antenna cap) for field along the z-axis (excluding the a relatively thick quarter-wavelength monopole with a hemispherical cap, versus the polynomial degrees for the excitation region (which was part of adopted the monopole.

Tructure. However, the impressed field is, often, concentrated in a relatively small region of the antenna structure (the so-called ex- citation region), in which it varies rapidly along the wires, as in the case of transmitting antennas. Rapid variations of the impressed field, and thus also rapid variations of the induced current and, especially, charge in this region, must be treated numerically with additional precautions. They usually require separate, rapidly varying expansion functions to be used in the excitation region, and specification of appropriate boundary conditions for these expansions.

It is not analysis of cylindrical antennas, because tion of the second derivative equation with respect to z. l. 2. Hallen's equation. ing with Determination of current distribution Further branching is now possible start- the vector-potential equation. 23). 24) is known to be z F(z) + c1 cos kz c2 sin kz + k I ( 1. 25) S(z') sin k(z-z') dz'. zo The first two terms on the right-hand side represent the homogeneous equation. 24). 25)] varying constants. satisfies eqn. 24) for an arbitrary constant z .

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