Attachment USSC 1.2/2.4 Rad Haz

This document pretains to SES-MOD-20130313-00247 for Modification on a Satellite Earth Station filing.

IBFS_SESMOD2013031300247_989312

                     ANALYSIS OF NON—IONIZING RADIATION
                       FOR A 1.2 METER EARTH STATION

This report analyzes the non—ionizing radiation levels for a 1.2 meter
earth station.  The Office of Engineering and Technology Bulletin, No. 65,
Edition 97—01,   specifies that there are two separate tiers of exposure
limits that are dependent on the situation in which exposure takes place
and/or the status of the individuals who are subject to the exposure.
The Maximum    Permissible    Exposure   (MPE)  limit for persons in a
Uncontrolled/Public environment to non—ionizing radiation over a thirty
minute period is a power density equal to 1 mW/cm**2 (one milliwatts per
centimeter squared).    The Maximum Permissible Exposure (MPE) limit for
persons in a Controlled/Occupational environment to non—ionizing radiation
over a six minute period is a power density equal to 5 mW/cm**2 (five
milliwatts per centimeter squared).    It is the purpose of this report to
determine the power flux densities of the earth station in the far field,
near field, transition region, between the subreflector and main reflector
surface,  at the main reflector surface,   and between the antenna edge and
the ground.
The following parameters were used to calculate the various power flux
densities for this earth station:

    Antenna Diameter,    (D)                            1.2     meters

    Antenna surface area,       (Sa)                   pi   (D*+*23)    / 4                1.13     m**2

    Feed Flange Diameter,       (Df)                    13.3           cm
    Area of Feed Flange,       (Fa)                    _pi (Df**2)/ 4                      138.93 cm**2
    Wavelength at 14.2500 GHz,          (lambda)                                   = 0.021l         meters

    Transmit Power at Flange,          (P)         =        2.00       Watts
    Antenna CGain,   (Ges)                         Antenna Gain at                 =       2.089E+04
                                                   14.2500 GHz                     = 43.2         GBi
                                                   Converted to a Power
                                                   Ratio Given By:
                                                   AntiLog (43.2              / 10)

    pi, (pi)                                       = 3.1415927
    Antenna aperture efficiency,             (n)   = 0.55


1. Far Field Calculations

The distance to the beginning of the far field region can be found by
the following equation: (1)                              ~*

      Distance to the Far Field Region, (Rf)                           0.60(D*+*2) / lambda
                                                                            41.0       m
                                                                U




 (1) Federal Communications Commission, Office of Engineering & Technology,
     Bulletin No. 65, pp. 17 & 18.


The maximum main beam power density in the far field can be calculated as
follows: (1)        f

 On—Axis Power Density in the Far Field,         (Wf)    =   _(GES)   (P)
                                                             (RE**3)
                                                                    1.97     W/m**2

                                                                    0.20     uW@/cm**2


2. Near Field Calculation

Power flux density is considered to be at a maximum value throughout
the entire length of the defined region.     The region is contained
within a cylindrical volume having the same diameter as the antenna.
Past the extent of the near field region the power density decreases
with distance from the transmitting antenna.

The distance to the end of the near field can be determined by the
following equation: (1)

 Extent of near field,   (Rn)      =   D*®*2 / 4 (lambda)       =      17.10        m

The maximum power density in the near field is determined by:                       (1)

 Near field Power Density,      (Wn)   =   16.0(n)P mW/cm**2
                                           pi(D*+*2)

                                             3.89      W/m**2

                                             0.39      mW/cm**2



3. Transition Reqgion Calculations


The transition region is located between the near and far field
regions. As stated above,    the power density begins to decrease with
distance in the transition region.  While the power density decreasges
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 Gensity in the transition region will not
exceed that calculated for the near field region. The power density in
the near field region, as shown above,        will not exceed               _0.39       mW/cu*r*2.




 (1)   IBID


4. Region Between Feed Flange and Reflector


Transmissions from the feed horn are directed toward the reflector
surface, and are confined within a conical shape defined by the feed.
The energy between the feed and reflector surface can be calculated by
determining the power Gdensity at the feed flange.     This can be
accomplished as follows:
 Power Density at Feed Flange,   (Wf)      4 (P) / Fa
                                               57.58 mW/cm**2


5. Main Reflector Region


The power density in the main reflector region is determined in the
same manner as the power density at the feed flange, above, but the
area is now the area of the reflector aperture:

 Power Density at Reflector Surface,    (Ws)     (4 (P)   / Sa)
                                                    7.07       W/m**2

                                                    0.71 mW/cm**2



6. Region between Reflector and Ground


Assuming uniform illumination of the reflector surface,    the power
density between the antenna and ground can be calculated as follows:
 Power density between Reflector and Ground,      (Wg)         (P / Sa)
                                                          it




                                                                  1.77    W/m**2

                                                                  0.18    mW/cm**2
                                                          IL


                                         Table 1

                       Summary of Expected Radiation Levels
            Based on (5 mW/cm**2) MPE for Controlled Environment


                                Calculated Maximum
Region                    Radiation Level (mW/cm**2)   Hazard Assessment

1.   Far Field,   (Rf)=      41 .0   m        0 .20      SATISFIES ANSI


2. Near Field,      (Rn)=    17.10   m        0 .39      SATISFIES ANSI


3. Transition Region,        (Rt)             0 .39      SATISFIES ANSI
     Rn < Rt < Rf


4.   Between Reflector                       57.58       POTENTIAL HAZARD
     and feed


5. Reflector Surface                          0 .71      SATISFIES ANSI

6.   Between Antenna                          0 .18      SATISFIES ANSI
     and Ground



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


                                           Table 2

                       Summary sf Expected Radiation Levels

           Based on    (1 mW/cm**2)       MPE for Uncontrolled Envirpnment



                                 Calculated Maximum
Region                     Radiation Level (mW/cm**2)     Hazard Assessment

1.   Far Field,    (Rf)=      41 .0   m         0 .20       SATISFIES ANSI


2.   Near Field,    (Rn)=     17.10   m         0 .39       SATISFIES ANSI


3. Transition Region,         (Rt)              0 .39       SATISFIES ANSI
     Rn < Rt < Rf


     ‘Between Reflector                        57.58        POTENTIAL HAZARD
      and feed


     Reflector Surface                          0 .71       SATISFIES ANSTI

     Between Antenna                            0 .18       SATISFIES ANSI
     and Ground



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


7.   Conclusions

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


                                                                           EXHIBIT
                                                                           Page 1 of 5




                        Analysis of Non—Ionizing Radiation
                       for a 2.4 Meter Earth Station System


This  report analyzes the non—ionizing radiation levels      for a 2.4 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 Maximunm
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.


                                                                        EXHIBIT
                                                                        Page 2 of 5


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

     Parameter                Abbreviation           Value                  Units
     Antenna Diameter             D                  2 .4                   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                48 .8                  dBi
     Pi                           II                 3.1415927              n/a
     Antenna Efficiency           n                  0.59                   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 * p**2 / lambda                   (1)
                                                    164.2 meters
                                              H




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)
                                                             0.448 Watts/meters**2
                                                             0.045 mWatts/cm**2




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)
                                        68 .4 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)
                                        1.046 Watts/meters*®*2
                                        0.105 mWatts/cm**2


                                                                     EXHIBIT
                                                                     Page 3 of 5

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)
                                                0.105 mWatts/cm**2


4.   Region between Feed Assembly and Antenna Reflector

Transmissions  from the feed assembly are Girected 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)
                                              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)
                                                        1.768 Watts/meters**2
                                                        0.177 mWatts/cm**2


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, (Wy)      P / Sa                  (8)
                                                            0.442 Watts/meters*®*2
                                                            0.044 mWatts/cm**2


                                                                   EXHIBIT
                                                                    Page 4 of 5


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)     164.2 meters       0.045                Satisfies FCC MPE

2. Near Field (Rn)      68.4 meters        0.105                Satisfies FCC MPE

3. Transition Region
   Rn < Rt < Rf, (Rt)                      0.105                Satisfies FCC MPE

4. Between Feed Assembly                   28.216               Potential Hazard
   and Antenna Reflector

5. Main Reflector                          0.177                Satisfies FCC MPE

6. Between Reflector                       0.044                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)     = 164.2 meters       0.045                Satisfies FCC MPE

2. Near Field (Rn) = 68.4 meters           0.105                Satisfies FCC MPE

3. Transition Region
   Rn < Rt < Rf, (Rt)                      0.105                Satisfies FCC MPE

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

5. Main Reflector                          0.177                Satisfies FCC MPE

6. Between Reflector                       0.044                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.


                                                           EXHIBIT
                                                            Page 5 of 5




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 14:19:19
Document Modified: 2013-03-13 14:19:19

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