Consider a circular array of radius R normalized by the carrier wavelength with n elements uniformly spaced.
1. Compute the spatial signature in the direction cp.
2. Find the angle, f(cp1, cp2), between the two spatial signatures in the direction cp1 and cp2.
3. Does f(cp1, cp2) only depend on the difference cp1 - cp2? If not, explain why.
4. Plot f(cp1, 0) for R = 2 and different values of n, from n equal to f1rR/2l, f1rRl, f21rRl, to f41rRl. Observe the plot and describe your deductions.
5. Deduce the angular resolution.
6. Linear arrays of length L have a resolution of 1/L along the cos cp-domain, that is, they have non-uniform resolution along the cp-domain. Can you design a linear array with uniform resolution along the cp-domain?