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We found that the 2D digital waveguide mesh satisfies a finite
difference scheme which converges to the ideal 2D wave equation
with wave propagation speed
- Every two time steps (
sec) corresponds to a spatial step
of
meters --
This is the distance from one diagonal to the next on the square-holed mesh
- Diagonal plane-wave propagation is exact
- Consider Huygens' principle along a mesh diagonal
- The
and
directions are highly dispersive:
- High frequencies travel slower than low frequencies
- Dispersion depends on frequency and direction
- The triangular mesh is much closer to isotropic:
- Dispersion more nearly the same in all directions
- Frequency-dependent dispersion can be addressed using
frequency warping
- By construction, there is no attenuation at any frequency in any
direction
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Download Scattering.pdf
Download Scattering_2up.pdf
Download Scattering_4up.pdf