Quick estimation and sensitivity analysis of Pierce electron gun parameters

Summary form only given. Pierce type convergent electron guns are the unique choice for linear beam microwave tubes. As a general practice for the design of these electron guns based on four electrical parameters, e.g. beam voltage (V), beam current (I), beam minimum diameter or beam waist (2r_w) and cathode emission current density (J_c), an initial estimation of the electron gun geometry including half beam cone angle (θ), axial gap between cathode and anode (Z_ac), axial location of beam waist with respect to cathode (Z_w), etc., is done through the synthesis approach. Then, the gun geometry thus obtained is fed as input into analytical software for the final design and optimisation of the electron gun geometry. A thorough study related to synthesis and analysis of electron guns has been carried out by the authors. In this abstract, a sensitivity analysis of different parameters of Pierce electron guns with respect to two basic input parameters like beam perveance (μP) and beam waist radius (r_w) has been presented.