Geometry of obliquely propagating KAWs. The left panel depicts the generation of the waves (KAWs) somewhere near the Sun’s surface and propagates into the solar corona. The right panel shows a detailed schematic of KAWs within a solar flux tube loop. The flux tube, with a height, h, and a circular crosssection of radius a, provides a structured pathway for wave propagation. This fitted geometry highlights how KAWs navigate through the solar atmosphere, emphasizing the importance of their spatial characteristics in understanding energy distribution and particle acceleration in the solar corona.