Terahertz (THz) communications is envisioned as a highly promising wireless technology for the sixth generation (6G) and beyond wireless networks. In particular, the ultra-wide THz band ranging from 0.1 to 10 THz offers enormous potential to alleviate the spectrum scarcity and break the capacity limitation of emerging wireless systems. This will undoubtedly support the epoch-making wireless applications that demand ultra-high quality of service requirements and multi-terabits per second data transmission in the 6G and beyond era, such as metaverse and extended reality, terabit-per-second backhaul systems, and wireless high-bandwidth satellite communications. This talk will touch a frontier of Terahertz beam engineering, including Bessel, Airy, OAM, etc. As a new quality productive force, this cross near and far field communication regime is believed to reap the full benefits of THz communications in the 6G and beyond era.