For a specific scanning range of a phased array antenna we define the optimum array as that which has either the minimum maximum reflection coefficient or the minimum mean square reflection coefficient. For every scanning range there are matching angles, one for each criterion, at which the pattern is optimum. This is studied for infinite slot arrays both with and without interelement positioning errors. A two-state matching system is also introduced in which the array is perfectly matched at two angles within the scanning range. The results for the optimization problem for the two-state matching are also given to show how positioning errors and this matching system can result in a large scanning range over which the reflection coefficient is very small.
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