“…For instance, a 0.22 THz π-mode bi-periodic EIA, with a cavity M 2 R/Q of 44 Ω, exhibits a Pf 2 value of 0.032, 660 W average power, and 2% efficiency 14 ; a 94 GHz π-mode bi-periodic EIO, operating at an R/Q of 346 Ω, achieves a Pf 2 value of 0.0052 (592 W average power), with an efficiency of 6.6% 12 . However, problems are encountered in practical studies where the π-mode has difficulty extracting power longitudinally in the over-dimensional TM n1 -mode state, thus limiting the saturation output power 15 (primarily due to its excessive external quality factor Q e ). In contrast, the 2π mode offers reliable output power, leveraging its advantage of smaller Q e .…”