A phased array includes, in part, M×N photonic chips each of which includes, in part, an array of transmitters and an array of receivers. At least one of M and/or N is an integer greater than one. The transmitter arrays in each pair of adjacent photonics chips are spaced apart by a first distance and the receiver arrays in each pair of adjacent photonics chips are spaced apart by a second distance. The first and second distances are co-prime numbers. Optionally, at least a second subset of the M×N photonic chips is formed by rotating a first subset of the M×N photonic chips.