2) [20 points] Consider an array of 2N + 1 dipoles. Each has a time-dependent dipole moment p(t) = zpeiwt, and they are spaced a distance D apart along the axis, centered on the origin. What is the resulting antenna pattern? Explicitly work out what happens at 0 (the polar angle measured with respect to the axis) near /2. This is an iconic problem: many similar radiators distributed in space, so the antenna pattern tells you things about the spatial distribution of radiators.]