Attachment 5m Ku E2529 RadHaz.p

This document pretains to SES-MOD-20110126-00063 for Modification on a Satellite Earth Station filing.

IBFS_SESMOD2011012600063_866440

                                                                                         Exhibit A
Radiation Hazard Report                                                                  Page 1 of 5


      Analysis of Non-Ionizing Radiation for a 5.0-Meter Earth
                          Station System
This report analyzes the non-ionizing radiation levels for a 5.0-meter earth station system. The analysis and
calculations performed in this report comply 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 (mW/cm2)
                           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 (mW/cm2)
                           30-300                                1.0
                          300-1500                    Frequency (MHz)*(4.0/1200)
                        1500-100,000                             5.0


          Table 3. Formulas and Parameters Used for Determining Power Flux Densities
     Parameter                       Symbol             Formula                  Value            Units
     Antenna Diameter                   D                 Input                    5.0            m
     Antenna Surface Area             Asurface            D2 / 4                19.63            m2
     Diameter of feed                  Dsr                Input                   8.4             cm
     Physical Area of feed             Asr               Dsr 2/4                 55.4            cm2
     flange
     Frequency                          F                Input                   14,500           MHz
     Wavelength                                        300 / F                  0.0207           m
     Transmit Power                     P                Input                   162.00           W
     Antenna Gain (dBi)                Ges               Input                    55.0            dBi
     Antenna Gain (factor)             G                10Ges/10                316,228           n/a
     Pi                                               Constant                3.1415927          n/a
     Antenna Efficiency                               G2/(2D2)                 0.55            n/a


                                                                                 Exhibit A
Radiation Hazard Report                                                          Page 2 of 5




1. Far Field Distance Calculation

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

   Distance to the Far Field Region                         Rff = 0.60 D2 /                    (1)
                                                                = 724.6 m

The maximum main beam power density in the far field can be determined from the following
equation:

   On-Axis Power Density in the Far Field                   Sff = G P / (4  Rff 2)             (2)
                                                                 = 7.76 W/m2
                                                                 = 0.776 mW/cm2
Off-axis power densities in the far-field region are reduced by at least 30 dB at angles of one
degree or more for beam center. Therefore the far field off-axis power density will be less than:
                                                            Sff = (0.776 mW/cm2) / 1000
                                                                = 0.000776 mW/cm2




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:

   Extent of the Near Field                                 Rnf = D2 / (4 )                    (3)
                                                                = 301.9 m

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

   Near Field Power Density                                 Snf = 4.0  P / ( D2)              (4)
                                                                = 18.16 W/m2
                                                                = 1.816 mW/cm2

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.
   Off-axis Near Field Power Density                       Snf = 1.816mW/cm2/100
                                                               = 0.01816 mW/cm2


                                                                                     Exhibit A
Radiation Hazard Report                                                              Page 3 of 5

3. Transition Region Calculation

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 at
a distance Rt can be determined from the following equation:

   Transition Region Power Density                          St = Snf Rnf / Rt                    (5)
                                                                < 1.816 mW/cm2
Where Rt is a point of interest in meters with 302 meters < Rt < 725 meters. 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 one antenna diameter from the center of the main
beam. The resulting off-axis power density at any given distance will be at least a factor of 100
(20dB) less than the on-axis power density value at the same distance from the center line axis of
the antenna.

                                                             Snf = 1.816mW/cm2/100
                                                                 < 0.01816 mW/cm2


4. Region between the Main Reflector and the Feed

Transmissions from the feed assembly are directed toward the reflector surface. The energy
between the feed and the reflector surfaces can be calculated by determining the power density at
the reflector surface. This can be determined from the following equation:

   Power Density at the Feed                                 Ssr = 4P / Asr                       (6)
                                                                  = 116970 W/m2
                                                                  = 11697 mW/cm2
                                                                2
where “Asr” is the surface area of the sub-reflector (0.00554 m ) and the factor of 4 results from the
6 dB tapered illumination level.

5. Main Reflector Region

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

   Power Density at the Main Reflector Surface           Ssurface = 4 P / Asurface                 (7)
                                                                  = 33 W/m2
                                                                  = 3.3 mW/cm2


                                                                              Exhibit A
Radiation Hazard Report                                                       Page 4 of 5

6. Region between the Main Reflector and the Ground

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

   Power Density between Reflector and Ground             Sg = P / Asurface                 (8)
                                                             = 2.06 W/m2
                                                             = 0.206 mW/cm2


7. Summary of Calculations

          Table 4. Summary of Expected Radiation levels for Uncontrolled Environment

                                             Calculated Maximum
                                         Radiation Power Density Level
Region                                              (mW/cm2)               Hazard Assessment
1. Far Field (Rff = 724.6 m)                    Sff       0.776             Satisfies FCC MPE
      Off-axis Far Field                                  0.000776          Satisfies FCC MPE
2. Near Field (Rnf = 302 m)                     Snf       1.816              Potential Hazard
      Off-axis Near Field                                 0.01816           Satisfies FCC MPE
3. Transition Region (Rnf < Rt <Rff)            St        1.816              Potential Hazard
      Off-axis Transition Region                         <0.01816           Satisfies FCC MPE
4. Between Main Reflector and feed              Ssr      11697               Potential Hazard
4. Main Reflector                               Ssurface    3.3              Potential Hazard
5. Between Main Reflector and                   Sg        0.206             Satisfies FCC MPE
   Ground


           Table 5. Summary of Expected Radiation levels for Controlled Environment

                                            Calculated Maximum
                                           Radiation Power Density
Region                                         Level (mW/cm2)              Hazard Assessment
6. Far Field (Rff = 724.6 m)                   Sff       0.776              Satisfies FCC MPE
      Off-axis Far Field                                 0.000776           Satisfies FCC MPE
7. Near Field (Rnf = 302 m)                    Snf       1.816               Potential Hazard
      Off-axis Near Field                                0.01816            Satisfies FCC MPE
8. Transition Region (Rnf < Rt <Rff)           St        1.816               Potential Hazard
      Off-axis Transition Region                        <0.01816            Satisfies FCC MPE
4. Between Main Reflector and feed             Ssr      11697                Potential Hazard
9. Main Reflector                              Ssurface    3.3               Potential Hazard
10. Between Main Reflector and                 Sg        0.206              Satisfies FCC MPE
   Ground


                                                                                  Exhibit A
Radiation Hazard Report                                                           Page 5 of 5

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




8. 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. Because of the
elevation angle of the antenna in transmitting in the domestic satellite arc the lower edge of the
antenna will be at least 1 meter above the ground. Antenna geometry will make the transition
region well out of reach of the general public or earth station personnel. The antenna is also
located on a hill above the surrounding area and is in a fenced area preventing access from the
general public to any of the potential hazard regions.
        The transmitter will be turned off during antenna maintenance so that the FCC MPE of 5.0
mW/cm2 will be complied with for those regions with close proximity to the reflector that exceed
acceptable levels.



Document Created: 2011-02-01 16:34:19
Document Modified: 2011-02-01 16:34:19

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