Attachment Radiation Study - So

This document pretains to SES-LIC-20090922-01207 for License on a Satellite Earth Station filing.

IBFS_SESLIC2009092201207_741944

                        Radiation Study Concerning Application of

                                      Radiocraft, Inc.

                         for a Transmit/Receive Ku Earth Station
                             in Southborough, Massachusetts

                                      September 22, 2009


1. INTRODUCTION:

This study has been performed to estimate the potential radiation hazard that could exist in the
vicinity of Radiocraft’s transmit/receive Ku band earth station which employs the Prodelin 2.4
meter Model 1251 antenna.

This study has been prepared in accord with the Commission’s Report and Order in General
Docket No. 79-144, and follows the procedures described in ANSI Standard C95.3-1973,
“Techniques and Instrumentation for the Measurement of Potentially Hazardous Electromagnetic
Radiation at Microwave Frequencies,” which was adopted by ANSI in 1972. This standard gives
methods for predicting and measuring the expected power density levels in the vicinity of an
antenna and is used throughout this study.

2. CALCULATION AND RESULTS:

The field in front of an antenna in this portion of the spectrum can be characterized by referring to
two separate regions (a third region, the “reactive near-field” is not important at microwave
frequencies). The “radiating near-field” is sometimes ccalled the Fresnel region. The
approximate value of the maximum power density “W” in the radiating near-field for a circular
transmitting antenna is given by the equation:

                                            W = 4P/A

                     Where P= radiated power, A = effective area of antenna

The maximum power reaching the antenna is the 4 Watt power output of the transmitter, minue
0.3 db of remote terminal feed loss. Thus:

                                   P = 4W/1.07 = 3.73 Watts

The area of the 2.4 meter antenna is 5.76 meters2.

                W = (4 x 3.73w)/5.76 m2 = 3.24 W/m2 or W = 0.32 mW/cm2

This maximum power density in the near field is below the limit of 5 mW/cm2.


This maximum power density will not be present beyond the near-field region. The extent of the
near-field region can be calculated as follows:

                                          D = A/[2(λ)]

                      where λ (lamda) is the wavelength in consistant units.

Thus:

                          D = 5.76/2(0.21) meters = 137.1 meters


The far-field must also be analyzed to determine the expected level of radiation. The
approximate free=space power density on the beam axis in the far-field region may be determined
by:


                                         W = AP/(λ)2 D2

                            where D is the distance from the antenna


By setting W = 5mW/cm2, and solving for D we can determine the maximum distance from the
antenna where the RPGL (Radiation Protection Guidelines) will be exceeded:


                                     D = [A P/(λ)2 D2 ] 1/2

                     = [5.76(3.73)/(0.005)104(0.021)2] ½ = 48.7 meters


Since the maximum distance from the antenna where the RPGL will be exceeded is actually in
the near field region, one can omit this particular requirement as it is conclusive that near-field
measurements only need to be considered.

Another region to be investigated is the edge of the primary reflector. If the power were evenly
distributed over the surface of the dish, that is, if the aperture illumination were uniform, the
power density would be:


                          W = P/A = 3.73W/5.76m2 = 0.64mW/cm2


This is a level below the RPGL limit. As is the case with all earth station antennas, the
illumination is actually tapered to achieve lower sidelobe levels. Tapers on the order of 20 dB are
typical. With such an illumination taper, the power density at the edge of the antenna will be
considerably below this value.



Document Created: 2009-09-22 19:32:03
Document Modified: 2009-09-22 19:32:03

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