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Direct Energy, 2018a

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4 ANTENNAS 83<br />

axis formed by the direction of propagation, the wave is called circularly<br />

polarized. If the direction of the electric eld rotates nonuniformly, the wave<br />

is called elliptically polarized. For circularly polarized waves, the projection<br />

of the wave on a plane perpendicular to the axis formed by the direction<br />

of propagation is circular. For elliptical waves, the projection is elliptical.<br />

To determine if the polarization is left or right, point your right thumb in<br />

the direction of propagation, and compare the rotation of the electric eld<br />

to the rotation of your ngers. If the rotation is along the direction of the<br />

ngers of your right hand, the wave is right polarized. Otherwise, it is left<br />

polarized. For example, the wave described by<br />

−→ E = E0 cos ( 10 6 t − 300z ) â x<br />

√<br />

2<br />

+ E 0 sin ( 10 6 t − 300z ) â y<br />

√<br />

2<br />

(4.21)<br />

is right circularly polarized. As another example, the wave<br />

−→ E = E0 cos ( 10 6 t − 300z ) â x<br />

2 + E 0 sin ( 10 6 t − 300z ) √<br />

â y 3<br />

2<br />

is right elliptically polarized. The wave<br />

(4.22)<br />

−→ E = E0 cos ( 10 6 t − 300z ) â x<br />

√<br />

2<br />

− E 0 sin ( 10 6 t − 300z ) â y<br />

√<br />

2<br />

(4.23)<br />

is left circularly polarized. These denitions are illustrated in the Fig. 4.5.<br />

What does electromagnetic polarization have to do with antennas? Antennas<br />

may be designed to transmit linearly, circularly, or elliptically polarized<br />

signals. Antennas designed to transmit or receive circularly polarized<br />

signals often contain wires that coil in the corresponding direction around<br />

an axis. If a signal is transmitted with an antenna designed to transmit linearly<br />

polarized waves, the best antenna to use as a receiver will be one that<br />

is also designed for linearly polarized waves. The signal can be detected by<br />

an antenna designed for signal of a dierent electromagnetic polarization,<br />

but the received signal will be noisier or weaker. Similarly, if a signal is<br />

transmitted with an antenna designed for right circular polarization, the<br />

best receiving antenna to use will be one also designed for right circular<br />

polarization.

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