Abstract
In this work we give a detailed description of some quantities related to the ECR phenomenon in a typical ion source. In particular, we describe the ECR surface area, the volume associated with the resonance space, and their dependence with respect to the frequency of the electromagnetic wave feeding the source. These are useful in the study of the experimental results observed in the ion sources with respect to the frequency of the incoming electromagnetic wave. Moreover, promising techniques for the increasing of the source performances consider the frequency tuning of the supplied electromagnetic wave, as well as the use of broadband microwave radiation for the apparatus feeding. The theoretical modelling used to describe these techniques by a statistical approach requires the efficiency of the ECR process and its dependence on frequency to be taken into account. In this context, the knowledge and formalization of the quantities described here can be very important.
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