On the Equivalence of the Digital Waveguide and Finite Difference Time Domain Schemes

Details On the Equivalence of the Digital Waveguide and Finite Difference Time Domain Schemes On the Equivalence of the Digital Waveguide and Finite Difference Time Domain Schemes

2004-07-06

arxiv.org/abs/physics/0407032v4

Physics

Computational Physics

v1: 6 pages; v2: 7 pages, generally more polished, more examples, expanded discussion; v3: 15 pages, added state space formula

Scientific paper

It is known that the digital waveguide (DW) method for solving the wave equation numerically on a grid can be manipulated into the form of the standard finite-difference time-domain (FDTD) method (also known as the ``leapfrog'' recursion). This paper derives a simple rule for going in the other direction, that is, converting the state variables of the FDTD recursion to corresponding wave variables in a DW simulation. Since boundary conditions and initial values are more intuitively transparent in the DW formulation, the simple means of converting back and forth can be useful in initializing and constructing boundaries for FDTD simulations.

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