Compact and Broadband 4 <formula formulatype="inline"><tex Notation="TeX">$\times$</tex></formula> 4 SIW Butler Matrix With Phase and Magnitude Error Reduction

Abstract

A novel two-layer 4 × 4 Butler matrix by feeding substrate integrated waveguide is designed and realized. The proposed Butler matrix has broadband operation frequency range of over 8.5 to 10.6 GHz with excellent phase and amplitude performance. The proposed design in this letter prevents the loss of amplitude and phase shifts in Butler matrix and decreases amplitude imbalance to less than 0.6 dB. This is achieved by reducing the size of Butler matrix and avoiding the use of a line length which causes a phase shift.