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- If the coordinate is causal, then the MD inductance one-port takes an input (at every grid point), shifts and delays it, then outputs.
- Discretization (in LSI case) can be viewed as a multidimensional passivity-preserving spectral mapping. (need to define multi-D positive realness).
- graphical representations are:
- stored energy flux (of continuous element) is
where
is a unit vector in the
direction.
- MD-passive if
is positive (lossless)
- capacitors...dual case.
MD Inductor: Expanding Out Spatial Dependence
In order to see how an MD Inductor can be programmed, consider an inductor of inductance
and direction
and time step
:
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Download Meshes.pdf
Download Meshes_2up.pdf
Download Meshes_4up.pdf