Anjan Biswas
Alabama A and M University USATitle: Perturbation of cubic-quartic optical solitons by semi-inverse variational principle
Abstract:
The dynamics of soliton propagation through optical fibers is possible when a delicate balance between group velocity dispersion (GVD) and nonlinearity is maintained. It may so happen that this dispersion runs low. In that case, it is necessary to compensate for GVD with third and fourth order dispersions. The solitons in this case are referred to as cubic—quartic optical solitons. In presence of perturbation terms, the governing perturbed nonlinear Schrodinger’s equation is no longer integrable when the perturbation terms are considered with full nonlinearity. In such a situation, semi—inverse variational principle (SVP) comes to the rescue. An analytical soliton solution is obtained with the aid of SVP. The study is conducted with Kerr and power laws of nonlinearity. The existence criteria for the solitons will also be presented.
Biography:
Dr. Anjan Biswas earned his MA and Ph.D. degree in Applied Mathematics from the University of New Mexico, USA. Subsequently, he completed his Post-Doctoral studies at the University of Colorado, Boulder, Colorado, USA. Currently, he works as a faculty member in Mathematics at Alabama A&M University that is located in Normal, Alabama, USA. His current research interest is in Mathematical Photonics. In particular, he focuses on the propagation of solitons through optical fibers along trans-oceanic and transcontinental distances. He concentrates on soliton perturbation theory, quasi-stationary solitons, quasi-particle theory, variational principle as well as semi-inverse variational principle that are all applicable to the study of optical solitons.