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.

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LightTrans GmbH

Phone +49.3641.53129-50

info (at)


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