Attachment A Radiation Analysis

This document pretains to SES-LIC-20100217-00203 for License on a Satellite Earth Station filing.

IBFS_SESLIC2010021700203_802081

        Analysis of Non-Ionizing Radiation for a 0.6m Earth station system

This report analyzes the non-ionizing radiation levels for a 0.6m 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 1987 in Edition 97-01. The radiation safety limits used
in the analysis are in conformance 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 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
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 earth station in the far-field, near-field, transmission region, between the 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.

         Frequency Range (MHz)                     Power Density (mW/cm2)
                  30-300                                     0.2
                 300-1500                         Frequency (MHz)*(0.8/1200)
               1500-100,00                                   1.0
        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)
             1500-100,00                                    1.0
           Table 2. Limits for Occupationa;/Controlled Exposure (MPE)

Parameter           Symbol          Formula           Value          Units
Antenna                D              Input            0.6             m
Diameter
Antenna              Asurface          D2/4          0.2826            m2
Surface Area
Frequency               F             Input           6250            MHz
Wavelength                            300/F           0.048            M
Transmit Power         P              Input              4             W
Antenna Gain           Ges            Input             28            dBi
(dBi)
Antenna Gain           G             10Ges/10          630            n/a
(factor)
Pi                                  Constant       3.1415927          n/a
Antenna                           G 2/( 2D2)            65             %
Efficiency
    Table 3. Formulas & Parameters Used for determining Power Flux Densities


   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 /
                                                    =4.5 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 Rff2)
                                                        =10 W/m2
                                                        = 1mW/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 using the following
equation:

Extent of the Near Field                        Rnf = D2 / (4 )
                                                    = 1.875 m

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

Near Field Power Flux Density                       Snf = 16 P / ( D2)
                                                        = 3.6 mW/cm2

   3. Transition Region Power Density

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 calculation 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
                                                       = 1.5 mW/cm2


   4. Main Reflector Region

The power density in the main reflector is determined using the following equation:

Power Density at Main Reflector                       Ssurface = 4 P / Asurface
                                                               = 5.6 mW/cm2

   5. 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
                                                         = 1.4 mW/cm2

   6. Summary of Calculations

Region                           Calculated Maximum Radiation            Hazard assessment
                                 power Density Level (mW/cm2)
1. Far Field                        Sff              9.8      Satisfies FCC MPE
2. Near Field                       Snf              3.6      Satisfies FCC MPE
3. Transition Region                 St             0.99      Satisfies FCC MPE
(Rnf<Rt<Rff)
4. Main Reflector           Ssurface             5.6          Satisfies FCC MPE
5. Between Main Reflector      Sg                1.4          Satisfies FCC MPE
and Ground
  Table 4. Summary of Expected Radiation Levels for Uncontrolled Environments


1. Far Field                   Sff             1.875          Satisfies FCC MPE
2. Near Field                  Snf              3.6           Satisfies FCC MPE
3. Transition Region           St               1.5           Satisfies FCC MPE
(Rnf<Rt<Rff)
4. Main Reflector           Ssurface            5.6           Satisfies FCC MPE
5. Between Main Reflector      Sg               1.4           Satisfies FCC MPE
and Ground
   Table 4. Summary of Expected Radiation Levels for Controlled Environments


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

   7. Conclusion

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 personne. The
transmitter will be turned off during antenna maintenance so that FCC MPE of 5 mW/cm2
will be complied with for those regions with close proximity to the reflector that exceed
acceptable levels.



Document Created: 2010-02-19 09:17:43
Document Modified: 2010-02-19 09:17:43

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