1-slide: The main goal of this Master thesis is developing computing logic gates on the basis of opticqal vector solitons. 2-slide



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1-slide:

The main goal of this Master thesis is developing computing logic gates on the basis of opticqal vector solitons.



2-slide:

Outline of the talk, which is also coincides with the contents of the thesis is presented in this slide.



3-slide:

Motivation for the study of optical vector solitons, which can be implemented as logic gates comes from several practically important problems of information technology. Among them most important ones are:



4-slide:

Before starting the main issue of the research, I will briefly explain what is computing logic gate, which are the basic elements for functioning computer processor. Circuit based scheme of different logic gates are presented in this slide.

Modern logic gates are realized in the form different integrated circuits.

5-6 -slides:

The main idea of our research is to construct models of logic gates on the basis colliding optical vector solitons, which may replace the traditional ones on the above circuits. Such solitons are described by Manakov equation, which is system of two coupled nonlinear Schrodinger equations. It arises from the Maxwell equations describing propagation of electromagnetic waves in nonlinear optical media.



7-slide:

Single soliton solutions of Manakov system can be obtained by using inverse scattering method and have this form



8-9-slides:

As for the multi-soliton solutions, one can obtain them by applying Hirota’s bilinearization method, which is briefly outlined in this slide. In this slide the result is shown for two-soliton solution



10-slide:

Our main task is constructing logic gates on the basis of four-soliton solutions of the Manakov equation. For this purpose, we consider colliding solitons and energy sharing is assumed in the collision process. The main idea here is to use the asymptotic states of these solitons.
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