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Referring to Figure 5.20(a), the conditions and
are rather simply dealt with by open- or short-circuiting the respective junctions. In this case, the gyrator connection between the two waveguide meshes can be severed at the boundary junctions, and in order to get a lossless numerical condition equivalent to we need only set, for ,
which is less restrictive than (5.45b), and does not degrade the bound from (5.38) and (5.42).
Various lossless boundary terminations for the DWN for Mindlin's system-- (a) free boundary; (b) simply supported edge (1); (c) simply supported edge (2); (d) clamped edge.