The receiving antenna as a linear differential operator Application to spherical nearfield scanning
Abstract
The general receiving antenna is represented as a linear differential operator converting the incident field and its spatial derivatives at a single point in space to an output voltage. The differential operator is specified explicitly in terms of the multipole coefficients of the antenna's complex receiving pattern. When the linear operator representation is applied to the special probes used in spherical nearfield measurements, a probecorrected spherical transmission formula is revealed that retains the form, applicability, and simplicity of the nonprobecorrected equations. The new spherical transmission formula is shown to be consistent with the previous transmission formula derived from the rotational and translational addition theorems for spherical waves.
 Publication:

IEEE Transactions on Antennas and Propagation
 Pub Date:
 November 1985
 DOI:
 10.1109/TAP.1985.1143520
 Bibcode:
 1985ITAP...33.1175Y
 Keywords:

 Antenna Radiation Patterns;
 Differential Equations;
 Near Fields;
 Operators (Mathematics);
 Integrals;
 Plane Waves;
 Radiation Distribution;
 Transmission;
 Communications and Radar