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RF MODULE

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Figure 3-16 shows a single-mode wave propagating through the waveguide.<br />

Figure 3-16: The x component of the propagating wave inside the waveguide adapter at<br />

the frequency 10 GHz.<br />

Naming the rectangular port Port 1 and the elliptical port Port 2, the S-parameters<br />

describing the reflection and transmission of the wave are defined as follows:<br />

∫<br />

*<br />

( Ec – E1) ⋅ E1 ( ) dA1<br />

Port 1<br />

E1 E ∗ ∫ ⋅ 1<br />

Port 1<br />

S11 = ----------------------------------------------------------------<br />

( ) dA1<br />

∫<br />

Port 2<br />

∫<br />

Port 2<br />

*<br />

Ec ⋅ E2 ( ) dA2<br />

S21 =<br />

-----------------------------------------------<br />

*<br />

( E2 ⋅ E2) dA2<br />

Here E c is the calculated total field. E 1 is the analytical field for the port excitation,<br />

and E 2 is the eigenmode calculated from the boundary mode analysis and normalized<br />

WAVEGUIDE ADAPTER | 119

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