This synthesis algorithm will design a circular array for a specified directivity in a given azimuthal direction. The array is always designed so that the elements are arranged in the x-y plane, centered on the z-axis.An example of a 3D pattern for this array.
An azimuthal direction may be specified, together with either directivity, a given radius or a specific number of elements. When an azimuthal direction and directivity are specified, the design algorithm designs the array for the least number of elements with adjacent element spacing of approximately a quarter wavelength.
When specifying the number of elements, the smallest possible radius is designed for, while when specifying the array radius, the smallest number of elements are chosen; both with adjacent element spacing of approximately a quarter wavelength....
More information about how the array synthesis tool should be used can be found in ‘Antenna Array Synthesis in Antenna Magus’ and in ‘Help: How do I use the Array Synthesis tool?’ (located in the Antenna Magus information browser). The latter article also describes the different excitation tapers in more detail, and provides references for further research.