Method of identifying antenna-mode scattering centers in arrays from planar near field measurements

A method of identifying antenna-mode scattering centers in an aperture device comprising a feed coupled to an array of antenna elements, which scattering centers are derived from planar near field measurements, which method is employed with a scanning probe that is coupled to a receiver and which is disposed adjacent to the aperture device for making the near field measurements, and a transmitter feed horn coupled to a signal source for illuminating the aperture device, said method comprising the steps of:

• disposing the aperture device at a predetermined angle with respect to a scan plane of the scanning probe such that both the normal to the scan plane and the normal to an aperture of the feed horn are at a predetermined nonextreme angle with respect to a boresight of the aperture device;
• illuminating the aperture device with signals derived from the signal source using the transmitting horn;
• disposing an absorber between the aperture device and the probe;
• collecting a first set of data over a planar surface in a near field region of the aperture device using the scanning probe;
• illuminating the aperture device with signals derived from the signal source using the transmitting horn;
• collecting a second set of data over the planar surface in the near field region of the radiating aperture device using the scanning probe;
• determining the difference between the first and second sets of data, to provide data indicative of the near field response of the probe to the near field scattered from the aperture device;
• computing data indicative of the scattered far field from the aperture device due to illumination from the horn using a planar near-to-far-field transform;
• converting the computed far field data from probe coordinates to aperture device coordinates;
• equating the converted far field data to data corresponding to the far field of an array device whose excitation weights are a product of a reflection coefficient looking into the corporate feed at a junction between an element and the corporate feed, and a horn-element coupling factor between the feed horn and antenna element that is proportional to power received by an individual antenna element from the feed horn;
• dividing a copolarized component of the far field by a copolarized component of an embedded element pattern to produce a scalar array pattern;
• determining the excitation weights using an inverse fast Fourier transform (FFF) of the scalar array pattern;
• determining the reflection coefficients by dividing the excitation weights by the horn-element coupling factor;
• and
• computing the antenna-mode scattered far field for an arbitrary incident plane wave having a predetermined angle of arrival and polarization at the predetermined frequency, which antenna-mode scattered far field is indicative of the antenna-mode scattering centers in the aperture device.