Attachment 1.8 M Rad Haz

This document pretains to SES-MOD-20130313-00246 for Modification on a Satellite Earth Station filing.

IBFS_SESMOD2013031300246_989230

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                         Analysis of Non—Ionizing Radiation
                        for a 1.8 Meter Earth Station System


This   report analyzes the non—ionizing radiation levels     for a 1.8 meter
earth station system.  The analysis and calculations performed in this report
are in compliance with the methods described in the FCC Office of Engineering
and Technology Bulletin, No. 65  first published in 1985 and revised in 1997
in Edition 97—01.  The radiation safety   limits used in the analysis are in
conformance   with the    FCC R&O 96—326.    Bulletin No. 65   and the    FCC
R&O specifies that there are two separate tiers of exposure limits   that are
dependant on the situation in which the exposure takes place and/or the
status   of the individuals who are subject to the exposure.      The Maximum
Permissible   Exposure (MPE)  limits  for persons    in a General Population/
Uncontrolled    environment       are     shown in        Table 1.    The    General Population/
Uncontrolled MPE is a function of transmit frequency and is for an exposure
period of thirty minutes or less.      The MPE  limits  for persons   in   an
Occupational/Controlled environment are shown in Table 2.   The Occupational
MPE is a function of transmit frequency and is for an exposure period of six
minutes or less.  The purpose of the analysis described in this report is to
determine «the power flux density levels of the earth station in the
far—field,   near—field,       transition region,           between the      subreflector or feed
and   main   reflector surface,          at   the    main reflector         surface, and      between
the   antenna   edge    and     the     ground      and    to   compare     these    levels    to the
specified MPEs.




  Table 1. Limits for General Population/Uncontrolled Exposure(MPE)

  Frequency Range      (MHz)                     Power Density       (mWatts/cm**2)

         30—300                                               0 .2
        300—1500                                      Frequency (MHz) * (0.8/1200)
       1500—100,000                                           1.0


  Table 2. Limits for Occupational/Controlled Exposure (MPE}

  Frequency Range      (MHz)                     Power Density (mWatts/cm**2)

         30—300                                               1.0
        300—1500                                      Frequency (MHz)*(4.0/1200)
       1500—100, 000                                          5.0




Table 3 contains the parameters that are used to calculate the various power
densities for the earth stations.


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Table 3.   Formulas and Parameters Used for Determining Power Flux Densities

     Parameter                Abbreviation          Value                Units
     Antenna Diameter             D                 1.8                  meters
     Antenna Surface Area         Sa                II *    D**2/4       meters*®*2
     Feed Flange Diameter         Df                  19.0               cm
     Area of Feed Flange          Fa                II * Df**2/4         cm**2
     Frequency                    Frequency         14250                MHz
     Wavelength                   lambda         300/frequency (MHz)     meters
     Transmit Power               P                     2.00             Watts
     Antenna Gain                 Ges               46.7                 dBi
     Pi                           II                3.1415927            n/a
     Antenna Efficiency           n                 0 .65                n/a




1.   Far Field Distance Calculation

The distance to the beginning of the far field can be determined from the
following equation: (1)

     Distance to the Far Field Region, (Rf)   = 0.60 * D**2 / lambda                  (1)
                                                   92.3 meters


The maximum main beam power density in the Far Field can be determined
from the following equation: (2)

     On—Axis Power Density in the Far Field, (Wf)          Ges * P / 4 * II * Rf**2   (2)
                                                            0.873 Watts/meters**2
                                                            0.087 mWatts/cm**2
                                                      t




2.   Near Field Calculation

Power flux density is considered to be at a maximum value throughout the
entire length of the defined Near Field region.  The region is contained
within a cylindrical volume having the same diameter as     the antenna.
Past the boundary of the Near Field region the power density from the
antenna decreases   linearly with    respect to increasing     distance.

The distance to the end of the Near Field can be determined from the
following equation: (3)

     Extent of the Near Field, (Rn)     D**2 /   (4 * lambda)                         (3)
                                          38.5 meters



The maximum power density in the Near Field can be determined from the
following equation: (4)

     Near Field Power Density, (Wn)    = 16.0 * n * P / II * D**2                     {(4)
                                          2.038 Watts/meters*®*2
                                          0.204 mWatts/cm**2


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3.   Transition Region Calculations

The Transition region is located between the Near and Far Field regions.
The power density begins  to decrease linearly with increasing distance
in the Transition region.   While the power density decreases inversely
with distance in the Transition region,     the power density decreases
inversely with the square of the distance in the Far Field region.   The
maximum power density in the Transition region will not exceed that
calculated      for   the Near   Field region.         The   power density calculated in
Section 1 is  the highest power density the antenna can produce in any of
the regions  away from the antenna.   The power density at a distance Rt
can be determined from the following equation: (5)

     Transition region Power Density, (Tt)              Wn * Rn / Rt                                (5)




                                                   I
                                                         0.204 mWatts/cm**2


4.   Region between Feed Assembly and Antenna Reflector

Transmissions   from the feed assembly are directed toward the antenna
reflector surface, and are confined within a conical shape defined by the
type of    feed assembly. The most common    feed assemblies are waveguide
flanges, horns or subreflectors.   The energy between the feed assembly and
reflector surface can be calculated by determining the power density at
the feed assembly surface.    This   can be determined from the following
equation: (6)

     Power Density at Feed Flange, (Wf)           4 * P / Fa                                        (6)
                                              I




                                                   28.216 mWatts/cm**2


5.   Main Reflector Region

The power density in the main reflector is determined in the same manner
as the power density at the feed assembly.   The area is now the area of
the reflector aperture   and can be determined from      the   following
equation: (7)

     Power Density at the Reflector Surface, (Ws)                 4    *   P / Sa                   (7)
                                                             II




                                                                      3.144 Watts/meters**2
                                                                      0.314 mWatts/cm**2
                                                             II




6.   Region between Reflector and Ground

Assuming uniform illumination of the reflector surface,                      the power density
between   the antenna      and ground   can       be determined            from     the following
equation: (8)

     Power Density between Reflector and Ground, (Wg) = P / Sa                 (8)
                                                         0.786 Watts/meters*®*2
                                                         0.079 mWatts/cm**2
                                                                      II


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Table 4. Summary of Expected Radiation levels for Uncontrolled Environment

                                  Calculated Maximum Radiation
                                       Power Density Level
     Region                               (mWatts/cm**2)       Hazard Assessment


1.   Far Field (Rf)    = 92.3 meters         0 .087               Satisfies FCC MPE

2. Near Field (Rn) = 38.5 meters             0.204                Satisfies FCC MPE

3. Transition Region
     Rn < Rt < Rf,    (Rt)                   0.204                Satisfies FCC MPE

4.   Between Feed Assembly                   28.216               Potential Hazard
     and Antenna Reflector

5. Main Reflector                            0.314                Satisfies FCC MPE

6. Between Reflector                         0.079                Satisfies FCC MPE
     and Ground




Table 5.      Summary of Expected Radiation levels for Controlled Environment

                                   Calculated Maximum Radiation
                                        Power Density Level
     Region                               (mWatts/cm**2)        Hazard Assessment


1. Far Field (Rf)       = 92.3 meters        0.087                Satisfies FCC MPE

2. Near Field (Rn) = 38.5 meters             0.204                Satisfies FCC MPE

3. Transition Region
   Rn < Rt < Rf, (Rt)                        0.204                Satisfies FCC MPE

4. Between Feed Assembly                     28 .216              Potential Hazard
     and Antenna Reflector

5. Main Reflector                            0.314                Satisfies FCC MPE

6. Between Reflector                         0 .079               Satisfies FCC MPE
     and Ground




It  is  the       applicant‘s responsibility    to     ensure that the public and
operational       personnel are not exposed     to     harmful levels of radiation.


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7.   Conclusions




Based on the above analysis     it is concluded that harmful levels of
radiation will not exist in regions normally occupied by the public or
the earth station‘s operating personnel.  The transmitter will be turned
off during antenna maintenance so that the FCC MPE of 5.0 mW/cm**2 will
be complied with for those regions with close proximity to the reflector
that exceed acceptable levels.



Document Created: 2013-03-13 10:01:00
Document Modified: 2013-03-13 10:01:00

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