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DRAFT Recommended Practice for Measurements and ...

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1/29/98 105 C95.3-1991 Revision — 2 nd Draft<br />

10/98 Draft<br />

Appendix B<br />

Theoretical Calculations of Exposure Fields<br />

B1. Technical Considerations of RF Source Characteristics<br />

Although the prediction of power-density levels in the vicinity of RF sources is<br />

complicated by many factors, useful estimates can be made. The quality of such<br />

calculations will depend on the analytical approach used, as well as on the accuracy of<br />

the values of the peak power, pulse duration, pulse repetition rate, antenna radiation<br />

patterns, antenna placement, <strong>and</strong> scanning rates that are used in theoretical<br />

computations. Corrections <strong>for</strong> near-field effects may also be appropriate. The operating<br />

parameters listed below must be specified adequately so that the true average-radiated<br />

power from the antenna, <strong>and</strong> the resulting power density at a distant point can be<br />

calculated.<br />

For all sources (pulsed or CW), the antenna type <strong>and</strong> size, gain, antenna pattern<br />

including E <strong>and</strong> H plane beam widths <strong>and</strong> sidelobe distribution, antenna height above<br />

ground, operating frequency, antenna beam orientation (all possible cases) <strong>and</strong> the<br />

attenuation of the transmission line that connects the RF generator to the antenna should<br />

be known or estimated. For the calculation of the expected power density levels of pulse<br />

modulated sources, the maximum possible values of peak power, pulse duration, <strong>and</strong><br />

pulse repetition rate that closely approximate, but do not exceed the maximum rated duty<br />

factor of a transmitter should be used. In the case of multiple sources, the contribution of<br />

each source should be considered when estimating the combined effect.<br />

B2. Antennas -- On Axis<br />

The field in front of an antenna can be characterized by the following three regions.<br />

(1) Reactive Near-Field Region. This is the region of space immediately surrounding<br />

the antenna or leakage source where the reactive (nonradiating) components<br />

predominate <strong>and</strong> energy is stored in the field. The reactive near-field region<br />

extends to a distance of approximately one wavelength from the antenna, except<br />

<strong>for</strong> the case of electrically large antennas (whose physical size is greater, in any<br />

dimension, than several wavelengths).<br />

(2) Radiating Near-Field Region (Fresnel Region). In this region, which starts at a<br />

distance from the antenna where the reactive field region has diminished to an<br />

insignificant amount, the antenna gain <strong>and</strong> the angular distribution of the radiated<br />

field vary proportionally with distance from the antenna. This is because the phase<br />

<strong>and</strong> amplitude relationships of the various waves arriving at the observation point<br />

from different areas of the antenna change with distance. For reflector-type<br />

antennas, such as parabolic dishes, the radiation is somewhat more complex in<br />

its distribution pattern.<br />

(3) Far-field Region (Fraunhofer Region). This region is sufficiently far from the source<br />

that the phase <strong>and</strong> amplitude relationships of the waves arriving from different<br />

areas of the antenna do not change appreciably with distance. The antenna gain<br />

<strong>and</strong> angular pattern are essentially independent of distance, <strong>and</strong> the power density<br />

is inversely proportional to the square of the distance from the source. Although<br />

Copyright © 1998 IEEE. All rights reserved. This is an unapproved IEEE St<strong>and</strong>ards Draft,<br />

subject to change.

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