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A hybrid topology optimization (HTO) method is adopted to reduce the mutual coupling of a &#x00B1;45&#x00B0; dual-polarized closely spaced MIMO antenna. In order to shorten the optimization time, only the isolation structure region of the two-element MIMO antenna is selected for optimization. More importantly, by exploiting the symmetry of both the MIMO antenna and the isolation structure, only a quarter of the isolation structure needs to be optimized to achieve good antenna performance. In this way, not only the optimization variables, but also the optimization sub-objectives are greatly reduced, and the optimization time is further diminished. The performance of the dual-polarized MIMO antenna with the optimized isolation structure (OIS) is validated by both simulation and measurement. The OIS resonates in both polarizations, thus lowering the mutual coupling between co-polarization ports (<inline-formula> <tex-math notation="LaTeX">$\vert S_{31}\vert $ </tex-math></inline-formula> and <inline-formula> <tex-math notation="LaTeX">$\vert S_{42}\vert$ </tex-math></inline-formula>) and between cross-polarization ports (<inline-formula> <tex-math notation="LaTeX">$\vert S_{41}\vert $ </tex-math></inline-formula> and <inline-formula> <tex-math notation="LaTeX">$\vert S_{32}\vert$ </tex-math></inline-formula>) simultaneously. With the center distance of only <inline-formula> <tex-math notation="LaTeX">$0.35\lambda _{0}$ </tex-math></inline-formula>, the measured mutual coupling between different ports are reduced by 6&#x007E;11 dB within the 10-dB impedance bandwidth (Reflection coefficients &#x003C; &#x2212;10 dB) by adding the OIS, and the highest mutual coupling between different ports is reduced from &#x2212;15 to &#x2212;21 dB. Besides, the antenna maintains a low profile (<inline-formula> <tex-math notation="LaTeX">$0.026\lambda _{0}$ </tex-math></inline-formula>), low cross-polarization and excellent radiation pattern performance.

Mutual Coupling Reduction of ±45° Dual-Polarized Closely Spaced MIMO Antenna by Topology Optimization