1. An efficient and highly accurate spectral method for modeling the propagation of solitary magnetic spin waves in thin films
- Author
-
M. A. Christou, N. C. Papanicolaou, and Christodoulos Sophocleous
- Subjects
Physics ,Series (mathematics) ,Magnetism ,Applied Mathematics ,Gauss ,Mathematical analysis ,02 engineering and technology ,021001 nanoscience & nanotechnology ,01 natural sciences ,Spin magnetic moment ,Computational Mathematics ,Nonlinear system ,Amplitude ,0103 physical sciences ,010306 general physics ,0210 nano-technology ,Galerkin method ,Spectral method - Abstract
In previous works, it was shown that the propagation of magnetic spin waves in thin films can be approximated by a nonlinear Schrodinger-type equation. The formulation begins with the magnetostatic equations (Gauss and Ampere’s laws of magnetism) and the Landau–Lifshitz equation. The solution of this system is a potential function whose dimensionless amplitude is the solution of a nonlinear Schrodinger. In the current work, we are demonstrating an efficient infinite series solution using the Christov functions. This is the first time the functions are used in problems involving complex arithmetics. The solutions of the time-independent and time-dependent problems are given in complex series form.
- Published
- 2020