A Two-grid Time-dependent Formalism for the Maxwell Equation

نویسنده

  • DANIEL NEUHAUSER
چکیده

We develop a formalism for efficient iterative solutions of scattering problems involving the Maxwell equations. The methods, borrowed from recent advancements in chemical reaction dynamics, represent the scattering wavefunctions on two grids; one used for the initial wave and is one-dimensional; the other is a small three-dimensional grid padded with absorbing-potentials on which the scattered function is represented. The formalism is automatically suitable for scattering studies of transmission, reflection and scattering components of a wave. The simulations can be done with time-dependent wavepackets or direct iterative solution for the Green’s function, but the results are rigorous time-independent (frequencydependent) scattering amplitudes. Model time-dependent simulations involving up to a 100 × 100 × 100 grid for the inner wavefunction were numerically done on a simple PC.

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تاریخ انتشار 2011