Rectangular waveguide with line source. (a) 3-D view. (b) Top view.  

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Context 1

... MoM cell. Using this physical interpretation for the product , we pro- pose a grouping strategy similar to that used in the FMM. The main difference between those techniques and our method is that they are typically applied to open space problems (i.e., antennas) while our method will be applied to -plane devices in a rectan- gular waveguide (see Fig. 1). As in the FMM, we approximate the matrix product with a grouping strategy in the following three independent steps [20], ...

Context 2

... open space, where the field is expanded into open-space modes that propagate radially, the grouping of the radiation of neighbor cells is based on a 2-D or 3-D proximity criterion. However, inside an -plane device in rectangular waveguide, the geometry is invariant in height ( dimension in Fig. 1). Con- sidering that the exciting field is the fundamental mode, which is also invariant along , then all the scattered fields by the -plane structure are also invariant in height ( modes). Therefore, the 3-D structure of Fig. 1(a) can be reduced to the equivalent 2-D problem of Fig. ...

Context 3

... However, inside an -plane device in rectangular waveguide, the geometry is invariant in height ( dimension in Fig. 1). Con- sidering that the exciting field is the fundamental mode, which is also invariant along , then all the scattered fields by the -plane structure are also invariant in height ( modes). Therefore, the 3-D structure of Fig. 1(a) can be reduced to the equivalent 2-D problem of Fig. ...

Context 4

... waveguide, the geometry is invariant in height ( dimension in Fig. 1). Con- sidering that the exciting field is the fundamental mode, which is also invariant along , then all the scattered fields by the -plane structure are also invariant in height ( modes). Therefore, the 3-D structure of Fig. 1(a) can be reduced to the equivalent 2-D problem of Fig. ...