The influence of nonlinear and linear defects on the light propagation through linear one-dimensional photonic lattice

In this paper, the light beam propagation through one-dimensional photonic lattice, possessing one nonlinear defect and one linear defect, has been investigated numerically. Different dynamical regimes have been identified in terms of the distance between the two defects, position of the incident light beam, the width of linear defect, the values of nonlinearity and presence of the transverse kick. Strong localized modes on the defects, breathing and zig-zag modes in the area between defects have been observed. It has been concluded that the width of the linear defect placed next to the nonlinear one influences localization of the beam at the nonlinear waveguide. On the other hand, the nonlinear defect, regardless of the values of nonlinearity, have a small influence on the beam propagation in photonic lattice. It has been observed that the transverse kick of the initial beam leads to the distortion of localized structures. By launching the light beam towards defects, the reflection of light has been noticed. Presented results can be useful for different applications, such as blocking, filtering and routing of light beam through optical media

Kontrola formiranja i prostiranja lokalizovanih struktura u fotonskim rešetkama s defektima

Dissertation is based on the study of the formation, properties and dynamics of localized structures in one-dimensional photorefrac-tive lattices. The universality of these pehomena is illustrated by stuyding the localized structures in biological microtubules which are components of cell membranes. Although the transport of proteins through the cell membranes and propagation of light through the photorefractive gratings are nonlinear and complex phenomena of different nature, they can be investigated by the same approach. Both systems are mathematically modeled by the set of nonlinear differential or differential-difference equations of the Schrödinger type. Here, the propagation of light through the linear photonic lattices with local nonlinear, and combination of local geometric and nonlinear defects, is studied which can be significant for applications in integrated optics and telecommuni-cations. It is shown that the full control of the light propagation through the photorefractive lattices can be established by proper tunning of parameters of the system

Kontrola formiranja i prostiranja lokalizovanih struktura u fotonskim rešetkama s defektima

Dissertation is based on the study of the formation, properties and dynamics of localized structures in one-dimensional photorefrac-tive lattices. The universality of these pehomena is illustrated by stuyding the localized structures in biological microtubules which are components of cell membranes. Although the transport of proteins through the cell membranes and propagation of light through the photorefractive gratings are nonlinear and complex phenomena of different nature, they can be investigated by the same approach. Both systems are mathematically modeled by the set of nonlinear differential or differential-difference equations of the Schrödinger type. Here, the propagation of light through the linear photonic lattices with local nonlinear, and combination of local geometric and nonlinear defects, is studied which can be significant for applications in integrated optics and telecommuni-cations. It is shown that the full control of the light propagation through the photorefractive lattices can be established by proper tunning of parameters of the system

Kontrola formiranja i prostiranja lokalizovanih struktura u fotonskim rešetkama s defektima

Dissertation is based on the study of the formation, properties and dynamics of localized structures in one-dimensional photorefrac-tive lattices. The universality of these pehomena is illustrated by stuyding the localized structures in biological microtubules which are components of cell membranes. Although the transport of proteins through the cell membranes and propagation of light through the photorefractive gratings are nonlinear and complex phenomena of different nature, they can be investigated by the same approach. Both systems are mathematically modeled by the set of nonlinear differential or differential-difference equations of the Schrödinger type. Here, the propagation of light through the linear photonic lattices with local nonlinear, and combination of local geometric and nonlinear defects, is studied which can be significant for applications in integrated optics and telecommuni-cations. It is shown that the full control of the light propagation through the photorefractive lattices can be established by proper tunning of parameters of the system

The influence of nonlinear and linear defects on the light propagation through linear one-dimensional photonic lattice

In this paper, the light beam propagation through one-dimensional photonic lattice, possessing one nonlinear defect and one linear defect, has been investigated numerically. Different dynamical regimes have been identified in terms of the distance between the two defects, position of the incident light beam, the width of linear defect, the values of nonlinearity and presence of the transverse kick. Strong localized modes on the defects, breathing and zig-zag modes in the area between defects have been observed. It has been concluded that the width of the linear defect placed next to the nonlinear one influences localization of the beam at the nonlinear waveguide. On the other hand, the nonlinear defect, regardless of the values of nonlinearity, have a small influence on the beam propagation in photonic lattice. It has been observed that the transverse kick of the initial beam leads to the distortion of localized structures. By launching the light beam towards defects, the reflection of light has been noticed. Presented results can be useful for different applications, such as blocking, filtering and routing of light beam through optical media

Defect induced wave-packet dynamics in linear one-dimensional photonic lattices

We study numerically light beam propagation across uniform, linear, one-dimensional photonic lattice possessing one nonlinear defect. Depending on the strength of nonlinear defect, input beam position and phase shift, different dynamical regimes have been identified. We distinguish input parameters set for which a regime of light propagation blockade by the nonlinear defect appears. Obtained results may be useful for all-optical control of transmission of waves in interferometry