Diffusion Model Spread of Electric Charge in the Resistive Micromegas Detectors: Implementation to the New Small Wheel Upgrade of the ATLAS Experiment

The study of the operation of the resistive Micromegas detector of the New Small Wheel upgrade of the ATLAS Experiment is presented in this work. The main prospect is the understanding of the spark suppression mechanism in the amplification region. Namely, the space-time solution of a point-like electric charge spread along a resistive strip is calculated analytically. For this purpose, the method of reflection and superposition was applied under the particular initial and boundary conditions. An appropriate methodology for the correct virtual image charges configuration is introduced. In addition, the electric field in the amplification region is calculated as a function of the deposited charge position and the resistance of the strip material, while the results are discussed.