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| Author(s): |
Eduardo Georges Khamis
Total Authors: 1
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| Document type: | Doctoral Thesis |
| Press: | São Paulo. |
| Institution: | Universidade de São Paulo (USP). Instituto de Física (IF/SBI) |
| Defense date: | 2010-10-13 |
| Examining board members: |
Arnaldo Gammal;
Vanderlei Salvador Bagnato;
Emerson Jose Veloso de Passos;
Antonio Fernando Ribeiro de Toledo Piza;
Valery Shchesnovich
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| Advisor: | Arnaldo Gammal |
| Abstract | |
Different kinds of solitons have already been observed in various nonlinear optical media, and their behavior has been explained in the frameworks of such mathematical models as the nonlinear Schrödinger and generalized nonlinear Shrödinger equations for different dimensions and geometries. However, there are situations when many solitons are generated so that they can comprise a dense soliton train. In such situations, it is impossible to neglect interactions between solitons and one has to consider the evolution of the structure as a whole rather than to trace the evolution of each soliton separately. The theory of optical shock waves in photorefractive media and the theory of nonlinear diffraction of light beams propagating in photorefractive media with embedded reflecting wire was developed and agrees very well with our numerical simulations. In the condensate soliton formation case, we did numerical calculations in the mean field approach using the Gross-Pitaevskii equation, adding a trap potential and a moving potential and a potential of the dipole-dipole interaction. The main results were also checked by recent experiments. (AU) | |
| FAPESP's process: | 07/06157-8 - Solitons formation in Bose-Einstein condensates and in optical media |
| Grantee: | Eduardo Georges Khamis |
| Support Opportunities: | Scholarships in Brazil - Doctorate |