Beam propagation method: Difference between revisions

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==Numerical methods==
There are bothBoth ''spatial ___domain'' methods, and ''frequency (spectral) ___domain'' methods are available for the numerical solution of the discretized master equation. Upon discretization into a grid, (using various [[central difference|centralized difference]], [[Crank–Nicolson method]], FFT-BPM etc.) and field values rearranged in a causal fashion, the field evolution is computed through iteration, along the propagation direction. The spatial
___domain method computes the field at the next step (in the propagation direction) by solving a linear equation, whereas the spectral ___domain
methods use the powerful forward/inverse [[Fast Fourier Transform|DFT]] algorithms. Spectral ___domain methods have the advantage of stability