Properties of a nonisosceles triangular grid planar phased array

An array with a general triangular grid structure (not necessarily isosceles) is considered, and methods of generating such an array are described. An analysis of its properties is presented. It is shown that this array has a grating lobe of -6 dB relative to the main lobe. The necessary conditions to avoid grating lobes are presented, with the conventional rectangular and isosceles triangular grids included as special cases. Furthermore, it is shown that one of the grid dimensions can be extended as compared to that of an isosceles triangular grid. However, when this is done, the optimal, grid area is reduced.