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Analog beamforming for multibeam antennas is envisioned as a key enabling technology for next-generation mobile communications and sensing networks. Whilst many existing analog multibeam antennas have limited beam forming and steering capabilities, a recently developed generalized joined coupler (GJC) matrix makes it possible to form multiple beams in any direction and steer them independently by tuning the phase shifters. In this work, we propose a novel design method for the GJC matrix by jointly designing both the directional couplers and phase shifters instead of the published coupler-only optimization, thus significantly enhancing the beamforming performance of the GJC matrix. To this end, we derive deterministic solutions to solve the parameters of the directional couplers and phase shifter values beam-by-beam. Specifically, we present algorithms to design Blass-like and Nolen-like GJC …