arXiv subjects

A. Sarychev

Publications and source records attributed to A. Sarychev.

3 recordsLinked to original sources

arXiv2016

Ensemble controllability by Lie algebraic methods

We study possibilities to control an ensemble (a parameterized family) of nonlinear control systems by a single parameter-independent control. Proceeding by Lie algebraic methods we establish genericity of exact controllability property for finite ensembles, prove sufficient approximate controllability condition for a model problem in $\mathbb{R}^3$, and provide a variant of Rashevsky-Chow theorem for approximate controllability of control-linear ensembles.

math.OC↗

arXiv2013

Quantum theory of the plasmonic nanolaser

In this work, we present a fully quantum theory of the plasmonic nanolaser, based on the maser model. Theory can be applied both to the microlasers with high Q-factor cavities and plasmonic nanolasers. We show that the latter is essentially a thresholdless device. We obtain the statistics of quanta, spectrum of the plasmonic radiation and the second-order coherence degree in the steady state. The limits of the model applicability are discussed in detail. All results are compared with the full numerical simulation.

cond-mat.mes-hall↗

arXiv2007

Guiding, focusing, and sensing on the sub-wavelength scale using metallic wire arrays

We show that two-dimensional arrays of thin metallic wires can guide transverse electromagnetic (TEM) waves and focus them to the spatial dimensions much smaller that the vacuum wavelength. This guiding property is retained for the tapered wire bundles which can be used as multi-channel TEM endoscopes: they capture a detailed electromagnetic field profile created by deeply sub-wavelength features of the studied sample and magnify it for observation. The resulting imaging method is superior to the conventional scanning microscopy because of the parallel nature of the image acquisition by multiple metal wires. Possible applications include terahertz and mid-infrared endoscopy with nanoscale resolution.

physics.optics↗