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Andrei B. Bogatyrev

Publications and source records attributed to Andrei B. Bogatyrev.

4 recordsLinked to original sources
arXiv2016

Analytical approach to the multiband filter synthesis and comparison to other approaches

A novel analytical approach to the synthesis of electrical (e.g. analogue, digital or microwave) filters is proposed. This approach allows to obtain lowest possible degree filters with given involved specification including e.g. many pass and stop bands, narrow transition bands, high attenuation at the stop bands and low magnitude oscillations at the pass bands. Comparison to other existing approaches is given.

eess.SY↗
arXiv2015

Capacity of several aligned segments

In this note we present a universal formula in terms of theta functions for the Log- capacity of several segments on a line. The case of two segments was studied by N.I.Akhiezer (1930); three segments were considered by A.Sebbar and T.Falliero (2001).

math.CV↗
arXiv2015

Magnetic states in multiply-connected flat nano-elements

Flat magnetic nano-elements are an essential component of current and future spintronic devices. By shaping an element it is possible to select and stabilize chosen metastable magnetic states, control its magnetization dynamics. Here, using a recent significant development in mathematics of conformal mapping, complex variable based approach to the description of magnetic states in planar nano-elements is extended to the case when elements are multiply-connected (that is, contain holes or magnetic anti-dots). We show that presence of holes implies a certain restriction on the set of magnetic states of nano-element.

cond-mat.mes-hall↗