Additively Manufactured 8x8 Butler Matrix Beamformer Design

In this paper, the design of an <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$8 \times 8$</tex> Butler matrix, for fabrication with additive manufacturing, is presented. The use of additive manufacturing offers more design flexibility, with the opportunity to design parts in 3-dimensions. Individual component design (hybrid couplers, phase shifters, and crossovers) is presented along with simulated results. Additionally, the full Butler matrix design is presented along with simulated results.