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C h a p t e r 2 0 : M i c r o w a v e W a v e g u i d e s a n d A n t e n n a s 453<br />

<br />

A. High frequency<br />

<br />

<br />

B. Medium frequency<br />

<br />

<br />

<br />

C. Low frequency<br />

(approaching cutoff)<br />

Figure 20.7 Frequency effect on propagating wave.<br />

= of incidence<br />

= of reflection<br />

<br />

Note that the angle of incidence with the waveguide wall increases as frequency drops.<br />

The angle rises toward 90 degrees as the cutoff frequency is approached from above.<br />

Below the cutoff frequency the angle is 90 degrees, so the wave bounces back and forth<br />

between the walls without propagating.<br />

Coordinate System and Dominant Mode in Waveguides<br />

Figure 20.8 shows the coordinate system used to denote dimensions and directions in<br />

microwave discussions. The a and b dimensions of the waveguide correspond to the x<br />

and y axes of a cartesian coordinate system, and the z axis (into or out of the page) is the<br />

direction of wave propagation.<br />

0111057 FIG 18-07<br />

Shorthand notation for describing the various modes of propagation is as follows:<br />

Tx mn

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