With the rapid move toward 5G and 6G technologies, millimeter-wave (mm-wave) wireless systems have attracted more and more consideration because of their huge unlicensed bandwidth that provides multi-gigabit per second data rates (Elsaadany et al., 2021;Farahani et al., 2017;Rashidian et al., 2022). However, this evolution of wireless communications to high-frequency bands is limited due to the high propagation loss and atmospheric absorption (Quan et al., 2022). Beam-switching antenna arrays are one of the good approaches to overcome these limitations and enhance coverage areas for mm-wave communication applications (Ali, Al-Hasan, Ben Mabrouk, & Denidni, 2022;Razi & Rezaei, 2020). Among all the various technologies that can be applied to design beam-switching networks, a Butler matrix network has widely been used due to the simplest configuration compared to other matrix-based beam-switching networks (Mousavi & Rezaei, 2019;. Crossovers that are considered 0-dB hybrid couplers are one of the fundamental components of Butler matrix network designs (Wong & Cheng, 2011). The ideal crossover has four ports to pass through two independent crossing signals with a high amount of isolation between the two paths while maintaining a zero insertion loss (Cao et al., 2020;Chu & Tang, 2018). Several research works have proposed various configurations of crossovers for example, microstrip line (MSL) (Xue et al., 2022), rectangular waveguides (RWG) (Ohta et al., 2005), and stripline (Wight et al., 1976). However, dielectric losses represent a huge drawback at high frequencies and lead to a critical problem for microstrip and stripline designs (Razi et al., 2015). Although RWGs have a lower attenuation, they are bulky and suffer from the inability to integrate with monolithic microwave integrated circuits, especially at mm-wave . Recently, substrate-integrated waveguide (SIW) and ridge-gap waveguide (RGW) technologies as one of the most recent guiding structures have significantly attracted the attention of the research community to address the loss problems at mm-wave. In Diman et al. (2021), Guntupalli et al. (2012, various types of SIW-based structures have been developed. A SIW crossover structure by cascading two 3-dB hybrid couplers with 16.6% bandwidth at 35 GHz has been designed in Guntupalli et al. (2012). Using this technique yields a large physical area. In Cao et al., 2020 and, a compact two-layer crossover based on SIW and stripline techniques at 26 GHz has been presented to miniaturize the size of the crossover but suffers from complex design. RGW and printed RGW (PRGW) are other promising technologies suitable for implementing high-frequency components (Afifi & Sebak, 2020). Compared with the SIW, the PRGW structures have better performance and simpler designs with minimal transmission losses at the mm-wave