Pattern synthesis for waveguide slotted array antenna by linear programming

The locations of slots derived by the sampling method are the initial values. Linear programming is used to correct the current amplitude and the location of each slot so that the antenna efficiency is improved. It is pointed out that whereas the problem of finding the correct amplitude in each slot is a linear problem, that of correcting the slot location is nonlinear. Linear programming is therefore applied to the latter by linear approximation. A successive method in which the amplitude and location of the slot are alternately and repeatedly modified is investigated. An antenna efficiency of -3 dB is imporved to -1 dB. The influence of fabrication inaccuracy on an optimally designed antenna is compared with that based on the traditional design. It is found that the degradation of radiation characteristics of an optimally designed antenna due to fabrication errors is approximately the same as for the one with the conventional design.