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.

We study the relation between the output signal and energy and mass distributions of charged par ticles at the input of tandem double focusing mass spectrometers. A universal equation for arbitrary scanning methods is proposed. Formulas allowing the reconstruction of true energy and mass spectra are derived.
Bulletin of the Russian Academy of Sciences. Physics, 2012, Vol. 76, No. 5, pp. 558–560. © Allerton Press, Inc., 2012.

A relationship between the energy distribution of particles and the analyzer output signal has been studied for energy-dispersive electrostatic spectrometers with a preretardation system consisting of diaphragms with round holes. The theoretical model is compared to the results of computer simulations and experimental data. A simple formula is proposed for reconstructing the true energy distribution at low values of the retarding ratio.
Technical Physics Letters, Volume 36, Number 5, May 2010 , pp. 454-456

An equation which relates the output signal of an electrostatic dispersion analyzer and the energy distribution function of the charged particles entering it is derived with the fluctuations of the potentials on the defecting electrodes taken into account. Solutions of this equation are obtained. The influence of noise on the instrumental functions of analyzers is considered.
Technical Physics June 1997, Volume 42, Issue 6, pp 668-671

Equations relating the output signal of a dispersion analyzer and the energy distribution function of the charged particles entering it are obtained and solved on the basis of an analysis of the motion of charged particles in such analyzers. The influence of corrections on the reconstruction of the energy distribution in comparison with the standard procedure is considered.
Technical Physics June 1997, Volume 42, Issue 6, pp 663-667