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.
Dpto. Ingeniería de Comunicaciones, ETSI. Telecomunicación, U. Málaga, Málaga, Spain. oliva@ic.uma.es
J
J
de-Oliva-Rubio
I
I
Molina-Fernández
R
R
Godoy-Rubio
D003198:Computer Simulation; D020342:Finite Element Analysis; D008027:Light; D008029:Lighting / Q000379:methods*; D008962:Models, Theoretical; D012031:Refractometry / Q000379:methods*; D012542:Scattering, Radiation