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Direct Energy, 2018a

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72 4.2 Electromagnetic Radiation<br />

are enough to cook with, so for this reason, it would be dangerous to touch<br />

or even, depending on the frequency, be close to the transmitting antenna.<br />

The antenna in this example needs to be mounted on an antenna tower<br />

not only for mechanical reasons but also for safety reasons. The amount<br />

of power through this surface depends on distance from the transmitter as<br />

1<br />

r 2 , so the danger level is strongly dependent on distance from the antenna.<br />

4.2.3 Near Field and Far Field<br />

The region within about a wavelength of an antenna is called the near eld<br />

region. The region beyond multiple wavelengths from an antenna is called<br />

the far eld or Fraunhofer region. For aperture antennas, instead of wire<br />

2(aperture size)2<br />

antennas, distances larger than are considered in the far<br />

λ<br />

eld [15, p. 498]. The radiation pattern in the near eld region and in<br />

the far eld region are quite dierent. Near eld electromagnetic radiation<br />

is used for some specialized applications including tomographic imaging of<br />

very small objects [51]. However, receiving antennas used for communication<br />

signals almost always operate in the far eld region from transmitting<br />

antennas. As an example of the dierence between near eld and far eld<br />

behavior of an antenna, consider the innitesimal dipole antenna. The<br />

electric eld intensity is given in Eq. 4.2. The near eld electric eld from<br />

this innitesimal antenna is found by taking the limit as r → 0.<br />

−→ E =<br />

I 0 · dl · cos θ<br />

4πɛω<br />

· sin ( ωt − 2π λ r)<br />

r 3 (2â r +â θ ) (4.6)<br />

The far eld electric eld is found by taking the limit as r →∞.<br />

−→ E =<br />

−I 0 ω · dl · sin θ<br />

4πɛ<br />

· sin ( ωt − 2πr)<br />

λ<br />

â θ (4.7)<br />

r<br />

4.2.4 Environmental Eects on Antennas<br />

The electromagnetic radiation from an antenna is aected by the environment<br />

surrounding the antenna, specically nearby large conductors.<br />

Sometimes conductors are purposely placed nearby to make an antenna<br />

directional. Other times, the conductors, like metal roofs or bridges, just<br />

happen to be nearby. If an antenna is placed near a salty lake, the lake<br />

surface will reect the electromagnetic radiation. In other cases, the electrical<br />

properties of soil underneath an antenna will aect the electromagnetic<br />

radiation [50, ch. 8] [15, p. 635].

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