Optimum Design of Directive Antenna Arrays Subject to Random Variations

The effects of random variations on antenna patterns have recently been discussed in a number of papers which treat more or less special cases. Several authors 1 , 2 ' 3 are concerned with linear Chebyshev-designed broadside arrays, and in particular with the effects of manufacturing variations on the patterns of slotted waveguide arrays. Ruze 4 has derived the expected pattern of a plane, rectangular array in which the positions of the radiators are rigidly fixed, while only their amplitudes and phases are variable. Less attention seems to have been given to the possibility that the positions of the elements may also vary in a random fashion, even though this latter situation can arise in any electromagnetic or acoustic array whose elements are not rigidly supported. 1 2 3 4 L. L. Bailin ami M. J. Ehrlich, I . R . E . Trans., PGAP-1, pp. 85-106, Feb., 1952. D. Ashmead, I . R . E . Trans., PGAP-4, pp. 81-92, Dec., 1952. H. F. O'Neill and L. L. Bailin, I . R . E . Trans., PGAP-4, pp. 93-102, Dec., 1952. J. Ruze, Nuovo Cimento, 9, Supp. 3, pp. 364-380, 1952. 637