Fourier transform

A problem of determining the electrostatic field formed by a set of charged electrodes has been considered.  The details of the approximate solving of the Dirichlet problem have been given for the Laplace's equation in a substantially spatial formulation based on the use of the model order reduction method.  The mathematical models have been improved and the problem of calculating the electrostatic field has been simplified, taking into account the present symmetry of electrodes positioning in electronic optics systems.  For the eighth-order abstract group, three independent structures of t

Scattering signals is one of the basic natural processes, which is a consequence of energy losses and manifests in the form of variety of radiation what propagating in space. The cause of the scattering signal is the interaction with the environment. The result of this interaction is not only scattering but also weakening the signal.

On the one hand scattering is considered as a negative effect, but on the other — as a possible way for finding form of the scatterer of the signal.

Traditional continuous wave methods of observation of NMR and NQR is now almost completely superseded by pulse Fourier transform spectroscopy. Compared with the method of continuous frequency scanning, pulse Fourier transform spectroscopy has advantages, which consists in a high sensitivity, increased spectrum resolution, much less distortion of the lines shape. In addition, pulse spectroscopy provides a reduction in the time of observation compared with stationary methods.