191 citations · 1.3k across the 53 of their papers we have counts for
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Exceptional points of degeneracy in traveling wave tubes
Alexander Figotin
Traveling wave tube (TWT) is a powerful vacuum electronic device used to amplify radio-frequency (RF) signals with numerous applications, including radar, television and telephone…
Perturbations of circuit evolution matrices with Jordan blocks
Alexander Figotin
In our prior studies we synthesized special circuits possessing evolution matrices that involve nontrivial Jordan blocks and the corresponding degenerate eigenfrequencies. The dege…
Synthesis of lossless electric circuits based on prescribed Jordan forms
Alexander Figotin
We advance here an algorithm of the synthesis of lossless electric circuits such that their evolution matrices have the prescribed Jordan canonical forms subject to natural constra…
Relativistic dynamics of accelerating particles derived from field equations
Anatoli Babin, Alexander Figotin
In relativistic mechanics the energy-momentum of a free point mass moving without acceleration forms a four-vector. Einstein's celebrated energy-mass relation E=mc^2 is commonly de…
Electrodynamics of balanced charges
Anatoli Babin, Alexander Figotin
In this work we modify the wave-corpuscle mechanics for elementary charges introduced by us recently. This modification is designed to better describe electromagnetic (EM) phenomen…
Wave-corpuscle mechanics for elementary charges
Anatoli Babin, Alexander Figotin
It is well known that a concept of point charge interacting with electromagnetic (EM) field has a problem. To address that problem we introduce a concept of wave-corpuscle to descr…