Attachment RadHaz

This document pretains to SES-MOD-20150401-00187 for Modification on a Satellite Earth Station filing.

IBFS_SESMOD2015040100187_1080188

Radiation Hazard Report                                                           Page 1 of 5


      Analysis of Non-Ionizing Radiation for a 9.3-Meter Earth
                          Station System
This report analyzes the non-ionizing radiation levels for a 9.3-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                   9.3          m
     Antenna Surface Area          Asurface         π D2 / 4               67.93          m2
     Subreflector Diameter          Dsr              Input                 120.0          cm
     Area of Subreflector           Asr             π Dsr 2/4            11309.73         cm2
     Frequency                       F               Input                  6175          MHz
     Wavelength                      λ              300 / F              0.048583         m
     Transmit Power                  P               Input                 78.30          W
     Antenna Gain (dBi)             Ges              Input                  53.9          dBi
     Antenna Gain (factor)           G              10Ges/10             245470.9         n/a
     Pi                              π             Constant              3.1415927        n/a
     Antenna Efficiency              η             Gλ2/(π2D2)               0.68          n/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 / λ                   (1)
                                                                = 1068.2 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 π Rff 2)             (2)
                                                                = 1.341 W/m2
                                                                = 0.134 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 λ)                    (3)
                                                                = 445.1 m

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

   Near Field Power Density                                 Snf = 16.0 η P / (π D2)             (4)
                                                                = 3.129 W/m2
                                                                = 0.313 mW/cm2

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
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:

   Transition Region Power Density                          St = Snf Rnf / Rt                   (5)
                                                               = 0.313 mW/cm2


Radiation Hazard Report   Page 3 of 5


Radiation Hazard Report                                                       Page 4 of 5

4. Region between the Main Reflector and the Subreflector

Transmissions from the feed assembly are directed     toward the subreflector surface, and are
reflected back toward the main reflector. The most    common feed assemblies are waveguide
flanges, horns or subreflectors. The energy between   the subreflector and the reflector surfaces
can be calculated by determining the power density    at the subreflector surface. This can be
determined from the following equation:

   Power Density at the Subreflector                      Ssr = 4000 P / Asr                (6)
                                                              = 27.693 mW/cm2

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)
                                                               = 4.611 W/m2
                                                               = 0.461 mW/cm2


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)
                                                             = 1.153 W/m2
                                                             = 0.115 mW/cm2


Radiation Hazard Report                                                           Page 5 of 5

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 = 1068.2 m)                   Sff        0.134            Satisfies FCC MPE
2. Near Field (Rnf = 445.1 m)                   Snf        0.313            Satisfies FCC MPE
3. Transition Region (Rnf < Rt < Rff)           St         0.313            Satisfies FCC MPE
4. Between Main Reflector and                   Ssr       27.693             Potential Hazard
    Subreflector
5. Main Reflector                               Ssurface   0.461            Satisfies FCC MPE
6. Between Main Reflector and Ground            Sg         0.115            Satisfies FCC MPE

            Table 5. Summary of Expected Radiation levels for Controlled Environment
                                           Calculated Maximum
                                          Radiation Power Density
Region                                        Level (mW/cm2)               Hazard Assessment
1. Far Field (Rff = 1068.2 m)                  Sff         0.134            Satisfies FCC MPE
2. Near Field (Rnf = 445.1 m)                  Snf         0.313            Satisfies FCC MPE
3. Transition Region (Rnf < Rt < Rff)          St          0.313            Satisfies FCC MPE
4. Between Main Reflector and                  Ssr       27.693              Potential Hazard
    Subreflector
5. Main Reflector                              Ssurface    0.461            Satisfies FCC MPE
6. Between Main Reflector and Ground           Sg          0.115            Satisfies FCC MPE

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. 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: 2015-03-12 13:43:32
Document Modified: 2015-03-12 13:43:32

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