Runge-Kutta Beam Propagation Method (RK-BPM) for GRIN Medium
The RK-BPM solver works in the spatial domain (x domain), in a pointwise manner. Mathematically, it solves, simultaneously,
- one ordinary differential equation (ODE) for the light path, and
- another ODE for the field polarization vector.
The solution of the ODEs is based on the standard Runge-Kutta (RK) forth-order method. In comparison to the ray tracing for GRIN medium – that solves the light path – we extend it to embrace the field quantities i.e. the complex amplitude and polarization.
- White Paper - Runge-Kutta Beam Propagation Methodpdf08.06.2020