Attachment RadHaz

This document pretains to SES-MOD-20141113-00854 for Modification on a Satellite Earth Station filing.

IBFS_SESMOD2014111300854_1068581

                                       Exhibit A - Radiation Hazard Analysis
                                                                 Page 1 of 8




     RF RADIATION HAZARD ANALYSIS
    FOR PROPOSED 7.3 METER KU-BAND
TRANSMIT/RECEIVE SATELLITE EARTH STATION
          IN LAS VEGAS, NEVADA




                   Prepared by:
        Paul Fleming, Senior Staff Engineer
                 Omnitracs, LLC
           10260 Sorrento Valley Road
               San Diego, CA 92121


                                                            Exhibit A - Radiation Hazard Analysis
                                                                                      Page 2 of 8



     I. INTRODUCTION


     Because of the highly directional nature of parabolic antenna systems, the
     possibility of significant human exposure to RF radiation is unlikely if
     precautions are taken to prevent incidental human access to those few areas
     where the existing power densities are in excess of those recommended for
                     1
     human exposure.

     The predicted RF power density levels that can be generated by the proposed
     Ku-band satellite earth station are calculated below. The calculations show that
     there will be regions in the vicinity of the antenna that can experience substantial
     power density levels, such as the area between the feed and the sub-reflector, the
     sub-reflector and main reflector, and the area directly in front of and along the
     axis of the antenna. However, operational procedures will be rigidly enforced
     to ensure that personnel are never exposed to radiation levels above the ANSI
     recommended value of 5.00mW/cm2 for occupational/controlled exposure,
     and 1.00mW/cm2 for general population / uncontrolled exposure, even during
     periods of peak power output.

     Specific parameters used in the following RF radiation analyses for the proposed
     Ku-band satellite earth station antenna (Cassegrain type) are as follows:

              D = antenna (main reflector) diameter          =   7.3279 meters
              A = main reflector area (π D2/4)               =   42.17 meters2
              ds = sub-reflector diameter                    =   1.05664 meters
              as = sub-reflector area (π ds2/4)              =   0.88 meters2
              df = feed window diameter                      =   0.21 meters
              af = feed window area (π df2/4)                =   0.035 meters2
              G = antenna gain (14.5 GHz)                    =   58.3 dBi
              G*= 10G/10                                     =   676,083
              η = antenna efficiency (G*λ2/( π 2D2)          =   0.5495
              f = maximum frequency                          =   14,500 MHz
              λ = wavelength                                 =   0.0207 meters
              π = pi                                         =   3.14159
           P1dB = amplifier power at max gain                =   40 Watts (16 dBW, 46 dBm)
          losses = (1 dB waveguide)                          =   1.00 dB
                P = maximum power at antenna flange          =   31.62 Watts (15 dBW, 45.0 dBm)
            EIRP = maximum EIRP from antenna                 =   73.3 dBW




1.
      "Evaluating Compliance with FCC Guidelines for Human Exposure to Radiofrequency
      Electromagnetic Fields," OET Bulletin No. 65, Edition 97-01, August 1997, Federal
      Communications Commission, Office of Engineering and Technology, Washington, DC 20554.


                                                              Exhibit A - Radiation Hazard Analysis
                                                                                        Page 3 of 8


II. POWER DENSITY CALCULATIONS

A. NEAR-FIELD REGION

Within the near-field region of a parabolic reflector antenna, the maximum value of
RF power density occurs on-axis, at a distance of (0.2 D2 )/ λ. For the proposed
Ku-band satellite uplink earth station, this distance will be 518.8 meters from
the antenna. For conservatism in this analysis, however, it will be assumed that
the maximum value of power density will exist throughout the entire length of the
near-field region Rn, where Rn is determined as follows:

                             Rn = D2 / (4 λ) = 648.5 meters

The maximum value of on-axis power density that will be possible within the near-field
region of the proposed Ku-band satellite earth station antenna can be calculated as follows:

             PD (near-field) = (16 η P) / (π D2) = (4 η P) / A

                             = 4 [(0.5495) (31.62 W)] / (42.17 m2)

                             = 1.65 W/m2

                             = 0.165 mW/cm2

The on-axis power density (energy) in the near-field region of a parabolic reflector antenna
can be assumed to be contained within a cylinder having a diameter equal to the antenna's
diameter and extending upward into space at an angle equal to the antenna's elevation
angle. For the proposed Ku-band satellite earth station, the elevated geometry of the
reflector (the bottom edge will be approximately 2 meters or higher from the ground) and the
rising edges of the cylindrical near-field and transition regions of the antenna will be such
that these regions will generally not be accessible by the public or by earth station personnel.

Conservative estimates of off-axis power density calculations in the near-field region can be
made assuming a point of interest at least one antenna diameter from the center of the main
beam. The resulting off-axis power density at any given distance from the antenna will be at
least a factor of 100 (20 dB) less than the on-axis power density value at the same distance
from the antenna. Therefore, for the proposed Ku-band satellite earth station, it may be
assumed that the off-axis power density will be at least 20 dB below the maximum level at a
radial distance of 7.3 meters from the center line axis of the antenna. At distances
within the near field the maximum off-axis power density will, therefore, be no greater
than:

                             (0.165 mW/cm2) / 100

                              = 0.00165 mW/cm2


                                                             Exhibit A - Radiation Hazard Analysis
                                                                                       Page 4 of 8


B. TRANSITION REGION


The power density in the transition region between the near and far field of a
parabolic reflector antenna decreases inversely with distance from the antenna. For
purposes of evaluating RF radiation levels, it is assumed that the transition region will extend
from the end of the near field (648.5 m) to the beginning of the far-field, which is determined
as follows:
                              Rf = 0.6D2/ λ = 1556.5 meters

The maximum power density levels in the transition region are again on-axis, and can be
conservatively estimated (upper-bounded) in the following manner:

             PD (transition) = PD (near-field) x (Rn / Rt)

                             = (0.165 mW/cm2) x (648.5 m / Rt)

                             < 0.165 mW/cm2

where Rt is point of interest in meters, with 648.5 meters < Rt <1556.5 meters.
The on-axis power density (energy) in the transition region of the antenna can again be
assumed to be contained within a cylinder having a diameter equal to the antenna's diameter
and extending upward into space at an angle equal to the antenna's elevation angle. For the
proposed Ku-band satellite earth station, this geometry will make the transition region well
out of reach by either the general public or by earth station technical/operations personnel.

Conservative estimates of off-axis calculations in the transition region can be made in the
same fashion as for the near-field region, by again assuming a point of interest at least on
antenna diameter from the center of the main beam. The resulting off-axis power density at
any given distance from the antenna will be at least a factor of 100 (20 dB) less than the on-
axis power density value at the same distance from the antenna. Therefore, for the
proposed Ku-band satellite earth station, it may be assumed that the off-axis power density
will be at least 20 dB below the maximum level at a radial distance of 7.3 meter
from the center line axis of the antenna. Within the transition region, the maximum off-axis
power density will be less than the maximum value of 0.00165 mW/cm2 that was
determined above for the near-field region.


                                                              Exhibit A - Radiation Hazard Analysis
                                                                                        Page 5 of 8


C. FAR-FIELD REGION


In the far-field region of a parabolic reflector antenna, the power is distributed in a pattern of
maxima and minima (sidelobes) as a function of the off-axis angle between the antenna
center line and the point of interest. For the proposed Ku-band satellite earth station, the
maximum possible value of on-axis power density in the far-field region can be determined
as follows:

              PD (far-field) = [(P) ( 10G/10 )] / (4 π Rf2)

                               = [(31.62 W) (676,083)] / [4 π (1556.5 m)2]

                               = 0.070 mW/cm2

Off-axis power densities in the far-field region are reduced by at least 29 dB at angles of one
degree or more from beam center. Therefore, for the proposed Ku-band satellite earth
station, the far-field off-axis power density will be less than:

                          PD = (0.070 mW/cm2) / 10(29/10)

                               = 0.000088 mW/cm2


D. IMMEDIATE VICINITY OF THE ANTENNA

      1. BETWEEN FEED WINDOW AND SUB-REFLECTOR
For the proposed Ku-band satellite earth station, the maximum power density in this
region will be on the feed window surface, and is determined as follows:

                          PD = (4) (P) / (af)

                               = (4) (31.62 W) / (0.035 m2)

                               = 361.4 mW/cm2

where "af" is the surface area of the feed window (0.035 m 2) and the factor of 4 results
from the 6 dB tapered illumination level.


      2. BETWEEN SUB-REFLECTOR AND MAIN REFLECTOR
For the proposed Ku-band satellite earth station, the maximum power density in this
region will be on the sub-reflector surface, and is determined as follows:

                          PD = (4) (P) / (as)

                               = (4) (31.62 W) / (0.88 m2)

                               = 14.4 mW/cm2


                                                            Exhibit A - Radiation Hazard Analysis
                                                                                      Page 6 of 8


where "as" is the surface area of the sub-reflector (0.88 m2) and the factor of 4 results from
the 6 dB tapered illumination level.


     3. REFLECTOR SURFACE
For the proposed Ku-band satellite earth station, the maximum power density on the
reflector surface can be determined as follows:

                        PD = (4) (P) / (A)

                             = (4) (31.62W) / (42.17 m2)

                             = 0.300 mW/cm2

where "A" is the surface area of the reflector (42.17 m2) and the factor of 4 again results
from the 6 dB tapered illumination level.


     4. BESIDE AND BEHIND ANTENNA
For areas beside and behind the antenna structure, where station personnel and
working environments exist, the radiation level will be less than the tapered illumination
level of the reflector. For the proposed Ku-band satellite earth station, this level will be as
follows:

             PD ≤ the transmit power, P, divided by the area of the
                   antenna reflector, A, less 6 dB taper.

             PD ≤ [31.62 W / (42.17 m2)] - 6 dB = (31.62 W / 42.17 m2) (0.25)

                             = 0.019 mW/cm2

This value will be applicable at the edge of the main reflector, so the power density
levels beside and behind the reflector will be even smaller.


     5. BETWEEN ANTENNA AND GROUND
For this area, the radiation level will be less than the tapered illumination level of the
main reflector, and can be calculated in a fashion identical to that used for areas
beside and behind the main reflector. As shown previously, this level will be bounded by:

             PD = [31.62 W / (42.17 m2)] - 6 dB = (31.62 W / 42.17 m2) (0.25)

                             = 0.019 mW/cm2


                                                           Exhibit A - Radiation Hazard Analysis
                                                                                     Page 7 of 8


III. SUMMARY OF CALCULATION RESULTS



                            Maximum Radiation Level
Region                            (mW/cm2 )                     Hazard Assessment

Near field, Rn < 648.5 m           0.165 (on-axis)              Complies with guidelines
                                   < 0.00165 (off-axis)         Complies with guidelines


Transition region, Rt              < 0.165 (on-axis)            Complies with guidelines
  648.5 m < Rt < 1556.5 m          < 0.00165 (off-axis)         Complies with guidelines


Far field, Rf > 1556.5 m           0.070 (on-axis)              Complies with guidelines
                                   < 0.000088 (off-axis)        Complies with guidelines


Between feed window                361.4                        Potential hazard
 & sub-reflector


Between sub-reflector              14.4                         Potential hazard
 & main reflector


Reflector surface                  0.300                        Complies with guidelines


Beside & behind antenna            0.019                        Complies with guidelines


Between antenna & ground           0.019                        Complies with guidelines


                                                           Exhibit A - Radiation Hazard Analysis
                                                                                     Page 8 of 8


IV. CONCLUSIONS / HAZARD MITIGATION


The above analyses show that, if the proposed Ku-band satellite earth station was
operated at its highest possible value of peak power, power density levels in excess of the
ANSI recommended value of 5.0 mW/cm 2 for occupational/controlled exposure could occur
between the feed window and sub-reflector, and between the sub-reflector and main
reflector.

As noted previously, the bottom edge of the antenna reflector will be approximately 2 meters
(or higher) from the ground. This will minimize the possibility of personnel in the general
vicinity of the antenna being accidentally exposed to harmful levels of RF radiation.
However, the following measures will also be exercised to further guarantee that neither the
general public nor any technical/operations personnel will ever be subjected to harmful levels
of RF radiation, should they temporarily be in the immediate vicinity of the antenna:

   The antenna is enclosed by fencing, with access controlled by a badge reader, and
   only accessible by trained earth station personnel. Based upon an evaluation of the
   operating angle of the antenna and the site configuration, it will not be possible for the
   general public to approach closer than 4 meters from the bottom edge of the dish.

   Additionally, the entire fenced-in, earth station/antenna facility is further enclosed in
   a highly controlled and access-restricted communications complex. By security
   protocol, there is no loitering in the vicinity of the earth station and there are no RF
   levels above 1.0 mW/cm2.

   The antenna will be marked with standard RF radiation hazard warnings, advising
   personnel to stay away from the area in front of the reflector when the transmitter is
   operating.

   The HPAs will be turned off whenever maintenance personnel are required to work on or
   in front of the antenna.

Potentially high RF power density levels along the antenna pointing axis will not pose a
hazard to either the general public or the earth station personnel. In order to cover the full
domestic satellite arc, the antenna elevation angle will range between a minimum of 29.4
degrees and a maximum of 48.0 degrees. Thus, the rising edges of the cylindrical
near-field and transition regions of the antenna will be such that these regions will not be
accessible to the general population located on the ground.



Document Created: 2014-11-05 13:40:14
Document Modified: 2014-11-05 13:40:14

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