Dispersion and stability analysis for a finite difference beam propagation method.
Applying continuous and discrete transformation techniques, new analytical expressions to calculate dispersion and stability of a Runge- Kutta Finite Difference Beam Propagation Method (RK-FDBPM) are obtained. These expressions give immediate insight about the discretization errors introduced by the numerical method in the plane-wave spectrum domain. From these expressions a novel strategy to adequately set the mesh steps sizes of the RK-FDBPM is presented. Assessment of the method is performed by studying the propagation in several linear and nonlinear photonic devices for different spatial discretizations.
de-Oliva-Rubio
J
J
Dpto. Ingeniería de Comunicaciones, ETSI. Telecomunicación, U. Málaga, Málaga, Spain. oliva@ic.uma.es
Molina-Fernández
I
I
Godoy-Rubio
R
R
D003198:Computer Simulation; D020342:Finite Element Analysis; D008027:Light; D008029:Lighting / Q000379:methods*; D008962:Models, Theoretical; D012031:Refractometry / Q000379:methods*; D012542:Scattering, Radiation