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Coaxial to Waveguide Coupling<br />

This model shows how to use assembly pairs and the Port boundary conditions to feed<br />

a rectangular waveguide.<br />

Introduction<br />

Feeding a waveguide from a coaxial cable is a straightforward way to get<br />

electromagnetic waves inside the waveguide. The coaxial feed must be modeled with<br />

enough length, so reflected waves either are damped out in the cable (evanescent<br />

modes) or turn into propagating modes. Propagating modes are efficiently terminated<br />

with a matched absorbing boundary condition, called the Port boundary condition in<br />

the <strong>RF</strong> Module. Due to its small size and circular shape, the cable contributes<br />

significantly to the overall size of the problem. It is therefore necessary to keep the<br />

cable as short as possible. One approach is to add the cable part as a separate assembly,<br />

connecting it to the waveguide using the port condition for pairs. This port condition<br />

can excite a wave into the master side of the pair while only the reflected waves exiting<br />

the master side enters the slave side. The port condition can be placed directly at the<br />

surface where the cable enters the waveguide, and only a short cable part, modeled as<br />

a perfectly matched layer (PML), is necessary.<br />

In 3D, the electromagnetic waves application mode uses vector elements, and these<br />

elements are very sensitive to incompatible meshes. The master and slave side of an<br />

assembly pair usually get incompatible meshes in 3D, so the identity coupling must be<br />

stabilized with the divergence condition. The divergence condition adds an extra<br />

equation that complicates the use of iterative solvers, so if it is possible to create<br />

compatible (or identical) meshes it is definitely worth the effort. It is possible to copy<br />

a mesh from one boundary in an identity pair to the other side using interactive<br />

meshing and script programming. This approach is used in this model to avoid having<br />

to turn on the divergence condition.<br />

Results and Discussion<br />

For cable feeds it is interesting to compare the reflected wave going back into the<br />

coaxial cable with the wave propagating in the rectangular waveguide. You can make<br />

such a comparison by evaluating the S-parameter on the coaxial port and compare it<br />

with the S-parameter on the rectangular port. There is also a coaxial port on the<br />

204 | CHAPTER 3: <strong>RF</strong> AND MICROWAVE MODELS

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