This paper presents the design, modelling, and comprehensive performance optimization of a high-gain, wideband, Right-Hand Circularly Polarized (RHCP) microstrip patch antenna designed specifically for high-throughput X-band satellite and radar communication systems. Addressing the traditional limitations of conventional patch antennas-such as narrow impedance bandwidth, moderate gain, and high surface wave degradation-the proposed architecture integrates a cross-slot Defected Ground Structure (DGS) with a 5×5 array of hybrid Double-Negative/Artificial Magnetic Conductor (DNG/AMC) metamaterial superstrate acting as an electromagnetic focusing lens. Pure RHCP radiation is realized by introducing symmetric diagonal corner truncations on the primary radiating patch to excite orthogonal resonant modes with equal amplitude and a 90° temporal phase shift. To eliminate traditional manual iterative tuning, structural dimensions, air-gap suspension height (1 mm), and DGS slot parameters were dynamically optimized using a Hybrid Particle Swarm Optimization-Genetic Algorithm (HPSO-GA). Full-wave electromagnetic simulations conducted in ANSYS HFSS demonstrate an exceptional peak broadside gain enhancement reaching 11.5 to 12.8 dBic, a radiation efficiency exceeding 93%, a deep reflection coefficient (S_11) reaching -34 dB at 9.8 GHz, and a wide 10 dB impedance bandwidth spanning 9.1 to 10.2 GHz. Furthermore, the design achieves a broad 3 dB axial ratio bandwidth covering 8.5 to 11.8 GHz (with a minimum axial ratio of 0.2 dB at 10.4 GHz) and co-to-cross polarization rejection exceeding 15–20 dB. Compared to recent state-of-the-art metamaterial-assisted antennas, the proposed AI-optimized layout delivers superior gain enhancement, robust circular polarization purity, and excellent inter-port isolation (S_21

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