arXiv subjects

M. I. Gozman

Publications and source records attributed to M. I. Gozman.

9 recordsLinked to original sources

arXiv2017

Guided Modes in the Plane Array of Optical Waveguides

It is known that for an isolated dielectric cylinder waveguide there exists the cutoff frequency $ω_\ast$ below which there is no guided mode. It is shown in the paper that the infinite plane periodic array of such waveguides possesses the guided modes in the frequency domain which is below the frequency $ω_\ast$. In the case of a finite array, the modes in this frequency domain are weakly radiating ones, but their quality factor $Q$ increases with the number of waveguides $N$ as $Q(N)\sim N^3$. This dependence is obtained both numerically, using the multiple scattering formalism, and is justified with a simple analytical model.

cond-mat.mes-hall↗

arXiv2016

The influence of boundary conditions on the form of the optical beam in the array of coupled optical waveguides

We investigate the optical beam behavior in the periodical array of the coupled optical waveguides with the monotonic change of the refractive index in the transverse direction. We consider the dependence of the form of the optical beam on the boundary conditions. It is well known that if the input wave packet is wide enough, the optical Bloch oscillations occur, while for the enough narrow input wave packet the breathing mode is observed. We show that if the input wave packet is neither too wide nor too narrow, the optical beam takes a peculiar form which can be considered neither as the Bloch oscillations nor as the breathing mode. We qualitatively explain the transformation of this intermediate form of the optical beam when the width of the input wave packet changes.

cond-mat.mes-hall↗

arXiv2015

Theory of Optical Bloch Oscillations in the Zigzag Waveguide Array

The Bloch oscillations in the zigzag array of the optical waveguides are considered. The multiple scattering formalism (MSF) is used for the numerical simulation of the optical beam which propagates within the array. The effect of the second-order coupling which depends on the geometrical parameters of the array is investigated. The results obtained within the MSF are compared with the calculation based on the phenomenological coupling modes model. The calculations are performed for the waveguides fabricated in alkaline earth boro-aluminosilicate glass sample, which are the most promising for the C-band (1530-1565 nm).

cond-mat.mes-hall↗

arXiv2015

Anharmonic Bloch Oscillations in the Optical Waveguide Array

The anharmonic Bloch oscillations of a light beam in the array of optical waveguides are considered. The coupling modes model (CMM) with the second order interaction is used to describe the effect analytically. The formula obtained predicts explicitly the path of the optical beam, in particular, the positions of the turning points are found. A total agreement of this formula with the numerical simulation is confirmed.

cond-mat.mes-hall↗

arXiv2014

Electron-Hole Liquid in the Couple Quantum Wells

It is shown that the homogeneous state of the spatially separated electrons and holes in the coupled quantum wells (CQW) is instable if the layer charge density is smaller than the critical value specified by the parameters of the CQW. The effect is due to the many-body Coulomb correlations which provide the positive compressibility. The instability results in the formation of the inhomogeneous system which comprises the liquid electron-hole drops.

cond-mat.mes-hall↗

arXiv2013

Bloch Oscillations in the Optical Waveguide Array

The multiple scattering formalism is proposed describing the guided modes in the optical waveguide array within the framework of macroscopic electrodynamics. It is shown that, under sufficiently general assumptions, our approach justifies the phenomenological model used widely to treat various physical phenomena in the optical micro- and nano-structures. It is found that the theory developed in this paper describes the real experiments in which the the Bloch oscillations are observed. Surprisingly, not only qualitative but also reasonably quantitative agreement is found.

cond-mat.mes-hall↗

arXiv2013

Optical eigenmodes in plane arrays of cylindrical waveguides. Analysis by means of multiple Mie scattering formalism and phenomenological model

We consider a plane periodical array of parallel cylindrical waveguides with evanescent coupling between them. A new method for calculating the isofrequency curves based on the multiple Mie scattering formalism (MMSF) is developed. This method is compared with the phenomenological model. The derivation of the phenomenological model by means of the MMSF is performed. The formulae for calculation of parameters of the phenomenological model are derived, such as propagation constants and coupling constants.

physics.optics↗

arXiv2011

Optical Bloch oscillation and Zener tunneling in an array of cylindrical waveguides. Numerical simulation

We investigate optical Bloch oscillation, Zener tunneling and breathing modes in arrays of optical waveguides. We perform a new method of calculation based on the multiple scattering formalism. To demonstrate Bloch oscillation and breathing modes, we consider a planar array of parallel cylindrical waveguides with the refractive index gradually varying across the array. We demonstrate that the form of Bloch oscillation may be predicted by means of dispersion law analysis. To demonstrate Zener tunneling, we consider a planar array of cylindrical waveguides of two types situated by turn. The band structure of this array contains two bands separated by a narrow gap. If the refractive indices of waveguides gradually vary across the array, the Zener tunneling leads to the Bloch-Zener oscillation.

cond-mat.mes-hall↗

arXiv2008

Interference of guiding polariton mode in "traffic" circle waveguides composed of dielectric spherical particles

The interference of polariton guiding modes propagating through "traffic circle" waveguides composed of dielectric spherical particles is investigated. The dependence of intensity of the wave on the position of the particle was studied using the multisphere the Mie scattering formalism. We show that if the frequency of light belongs to the passband of the waveguide, electromagnetic waves may be considered as two optical beams running along a circle in opposite directions and interfering with each other. Indeed, the obtained intensity behavior can be represented as a simple superposition of two waves propagating around a circle in opposite directions. The applications of this interference are discussed.

physics.optics↗