Analysis of the dynamic Faraday cup

Abstract

The dynamic Faraday cup is an electrostatic device used to measure the charge and velocity of a moving charged particle. In this paper, the interaction between a charged particle and a dynamic Faraday cup is described analytically, including the difficult case where the particle is close to but not in the cup. A summation method is used to extract information from the slowly converging series that results from the approximation that we use, and we are able to determine the charge distribution and mutual capacitance of the system. An example of the calculated and measured responses of a typical Faraday cup is provided. The agreement between the calculated and measured response of the cup, given in terms of the standard deviation, is from 4.5 × 10−3 to 9.4 × 10−3 for the inside of the cup and from 3.3 × 10−2 to 3.6 × 10−2 for the outside of the cup.

Parametic Study of the current limit within a single driver-scaletransport beam line of an induction Linac for Heavy Ion Fusion

“…When the beam enters the Faraday cup, the charge induced on the inner electrode, the collector, is determined by an electrometer [88]. Except for dynamic Faraday cups, this is a destructive measurement since the collector is closed at one end.…”

Sensing of single electrons using micro and nano technologies: a review

“…Traditionally, the charge of a small object or piece of material is measured by placing it in a Faraday cup or pail (or Faraday cage) along with a sensitive electrometer. This cup acts as a shielded sensing electrode of the electrometer, and consequently, the object induces an equal magnitude of charge, but of an opposite sign on the surface of the cup (inner cup) [20]- [21].…”

Study on simulation and experiment of array micro Faraday cup ion detector for FAIMS

“…There are two operation modes for Faraday cup, static and dynamic. In dynamic mode, the charged particle does not contact with the Faraday cup, however it detects the beam intensity of the charged particle through induced current [10]. In static mode, the charged particle hits with the sensitive electrode, it detects the beam intensity of charged particle through charge transfer.…”