Reconstruction of particle energy spectrum for angular dependent distribution at the entrance of electrostatic spectrometer

Abstract

Abstract. The algorithm of reconstruction of particle energy spectrum from electrostatic spectrometer data under condition of angular dependence of the energy distribution of the charged particles flow at the spectrometer entrance. It is shown that, assuming a linear relationship between the potentials, a standard method of recovering the spectrum by means of dividing the recorded signal by the scanning voltage gives the correct result in the first approximation.If the energy distribution at the electrostatic spectrometer entrance does not depend on the angular distribution, the reconstruction of spectrum using the standard procedure of dividing the recorded signal by the scanning voltage gives the correct result in the first approximation [1,2]. At the entrance of electrostatic dispersion spectrometers, particles have different angular distribution at different energies. These spectrometers therefore have different instrument functions, and the procedure of spectrum reconstruction using these spectrometers has not been justified yet. Meanwhile, for a large number of such spectrometers used, for example, in the mass spectrometry, the condition of the energy distribution independence from angular distribution fails.To justify the recovery procedure of the spectrum we will use the results from Ref. [1,2]. The signal at the spectrometer outlet is related to the particles energy and angular distribution function by the equation