The anode and the cathode of the cylindrical $\Pi $ cathode diode are not coaxial, and the quantitative calculation of its space charge limited current (SCLC) has not been reported. In this article, we propose the SCLC quantitative expression of cylindrical $\Pi $ cathode diode through improving the theory model of Japanese distinguished scholar Y. Koike ( ) based on the 3/2 power law of SCLC of the coaxial cylindrical diode and study the relationship between current and cathode structure of cylindrical $\Pi $ cathode diode by using the numerical simulation method based on the CST Particle Stu...