Optical vortex propagation and mode conversion under nonlinear conditions in a liquid
Comprehensive Exam
9:00 am –
10:00 am
Jorgensen Hall Room: 245
Contact:
Physics Department, (402) 472-2770, paoffice2@unl.edu
Rafeeq Syed will present his comprehensive exam topic, “Optical vortex propagation and mode conversion under nonlinear conditions in a liquid” in-person and via Zoom.
ABSTRACT: An attempt to find mode transition rules for the paraxial wave equation in non-linear conditions in liquid media. In free-space (vacuum) the paraxial wave equation has exact solutions. Hermite Gaussian modes (HG) , Laguerre-Gaussian modes (LG) form a complete set of basis for the paraxial wave equation in Cartesian and cylindrical co-ordinates respectively. For the case of non linear conditions paraxial wave equation doesn’t have exact solutions, and people have used various approaches to solve it, mainly numerical methods such as Eulers, Runge Kutta methods. A perturbation Hamiltonian-based approach is used for non-linear terms, to get transition rules similar to the Fermi-Golden transition rules.
ABSTRACT: An attempt to find mode transition rules for the paraxial wave equation in non-linear conditions in liquid media. In free-space (vacuum) the paraxial wave equation has exact solutions. Hermite Gaussian modes (HG) , Laguerre-Gaussian modes (LG) form a complete set of basis for the paraxial wave equation in Cartesian and cylindrical co-ordinates respectively. For the case of non linear conditions paraxial wave equation doesn’t have exact solutions, and people have used various approaches to solve it, mainly numerical methods such as Eulers, Runge Kutta methods. A perturbation Hamiltonian-based approach is used for non-linear terms, to get transition rules similar to the Fermi-Golden transition rules.