**GNF**

**PURPOSE: ** to calculate the near-zone electric field of a sinusoidal electric monopole.

**METHOD: ** An electric line source is located on the z axis with endpoints at z_{1} and z_{2} as shown in the above figure. Let the electric monopole have the following current distribution:

where I_{1} and I_{2} are the endpoint currents, g is the complex propagation constant of the medium, d = z_{2} - z_{1} is the source length. The cylindrical components of the field are E(q) = 0 and

where h is the intrinsic impedance of the medium and where (r,f,z) denotes the cylindrical coordinates in a coordinate system centered at the endpoint of z_{1}.

These expressions exclude the field contributions from the point charges at the endpoints of the line source, since these charges disappear when two monopoles are connected to form a dipole.

Let the coordinate s measure distance along the test monopole with the origin at (XA, YA, ZA). From any point X,Y,Z a line is constructed perpendicular to the monopole. SZ denotes the s coordinate of the intersection of this line with the monopole. The length of the line is the radial coordinate r and RS denotes r^{2}. R1 and R2 are the distances from (XA, YA, ZA) and (XB, YB, ZB) to the point (X, Y, Z).
In the statements above statement 1, the above equations are solved; and after statement 1, the cartesian components (E_{x}, E_{y}, E_{z}) of the field are determined. If a ground plane is present (IGRD>0) the reflection coefficients are applied to the cartesian components before returning to the calling program.

CALLED BY:

CALLS TO: NONE

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Last modified on:
3 Nov 2007
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