Abstract: For the purpose of non-destructive measurement of the
cross-sectional shape of an electron beam, we have studied a detection system
that is composed of both a number of antennas and a current monitor. The
antenna detects an electric field, and the current monitor detects an integral
of beam currents. The signals acquired from these detectors are applied as the input
of an inverse problem. We adopt the genetic algorithm to simulate the profile
measurement as an inverse problem analysis. The results showed that this detection system is partially
effective, even though this system is an "ill-posed problem" (i.e. the number
of input data parameters is less than the number of parameters to be
estimated). We also found that the current monitor, which cannot acquire
position-dependent information, is nevertheless useful to accelerate the
convergence of sub-optimal beam profiles.
