Attachment Radiation Haz Study

This document pretains to SES-LIC-20071029-01471 for License on a Satellite Earth Station filing.

IBFS_SESLIC2007102901471_604398

Radiation Hazard Report                                            ZSU-CERAP                                                            Page 1 of 9




                                       Radiation Hazard Analysis
                                        San Juan (ZSU-CERAP)
   This report analyzes the non-ionizing radiation Ievels for a 4.5-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 exposures 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 the transmit frequency and is for an exposure
   period of thirty minutes or less. The MPW 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 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              4.5                    m
         Antenna Surface Area                          Asurface               πD2 / 4           15.90                  m2
         Subreflector Diameter                            Dsr                 Input              N/A                   cm
         Area of Subreflector                             Asr                 πDsr
                                                                                  2
                                                                                      /4         N/A                  cm2
         Frequency                                         F                  Input              6000                 MHz
         Wavelength                                        λ                  300 / F            0.05                  m
         Transmit Power                                    P                  Input              0.47                   W
         Antenna Gain (dBi)                               Ges                 Input              42.05                 dBi
         Antenna Gain (factor)                            G                   10
                                                                                 Ges/10        16032.454              N/A
         Pi                                               π                   Constant         3.1415927              N/A
                                                                                 2    2    2
         Antenna Efficiency                               η                   Gλ /(π D )       0.2005466              N/A


Radiation Hazard Report                            ZSU-CERAP                                            Page 2 of 9



1. Far Field Radiation
The distance to the beginning of the far field region can be expressed by the equation:



 Rff =              0.6 D2            R =      Distance to beginning of far field (meters      0.60 m
                       λ              D =      Antenna Diameter (meters)                       4.50 m
                                      λ =      Wavelength                                      0.05 m


 Rff =      0.60 x 4.50 x 4.50 =       243.00 meters
                   0.05


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

  Sff   =     GP                      G=       Antenna Gain (factor)                        16032.5
            4 π Rff2                  P=       Transmit Power                                  0.47 W

                                                                        2                                 2
  Sff   =      16,032.45 x 0.47                =           0.010155 W/m         or          0.00102 mW/cm
            4 x 3.1416 x 243 x 243


Radiation Hazard Report                                  ZSU-CERAP                                                   Page 3 of 9




2. Near Field Radiation
The extent of the near field can be described by the equation:
WHERE:

    Rnf     =     D2                     R       =        Extent of near-field            meters
                  4λ                     D       =        Antenna diameter             4.5 meters
                                         λ       =        Wavelength                  0.05 meters



    Rnf     =       1.22          ==     101.25 meters
                  4 x 0.0214

The maximum value of the near field on-axis (main beam) power density is given by the equation:

    Snf     =     16 η P                 S       =        Maximum near-field power density               16    W/m
                       2
                   πD                    η       =        Efficiency of aperture (percentage)       0.200547 %
                                         P       =        Power into feed (Watts)                       0.47 W
                                         D       =        Antenna Diameter (meters)                      4.5 m


    Snf     =    6 x 0.2005 x 0.47       =       0.0237 W/m                      or                  0.00237   mW/cm2
                3.1416 x 4.5 x 4.5


Radiation Hazard Report                          ZSU-CERAP                                        Page 4 of 9



3. Transition Region

On-axis power density will decrease with 40.37 meters distance in the transition region. The power
density can be expressed by the equation:
WHERE:

  St   =            Snf Rnf              S =        Power Density
                      Rff                Snf =      Power Density in (near field)       0.002   mW/cm2
                                         Rnf =      Extent of near field               101.25 m
                                         Rff =      Beginning of far field             243.00 m
                                         R =        Distance to point of interest

At the beginning of the transition region, i.e. at a distance of 101.25 meters, the power density equals:

  St   =        0.002 x 101.25 =          0.00237   mW/cm2
                    101.25

At the beginning of the far-field region, i.e. at a distance of 243.00 meters, the power density equals:

  St   =        0.002 x 101.25 =          0.00099   mW/cm2
                    243.00


Radiation Hazard Report                        ZSU-CERAP                                         Page 5 of 9



4. Region between Main Reflector and Subreflector
Transmissions from the feed assembly are directly 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 calculatee by
determining the power density at the subreflector surface. This can be determined from the following
equation:



This antenna design does not incorporate a subreflector


Radiation Hazard Report                           ZSU-CERAP                                              Page 6 of 9




5. Main Reflector Region

The maximum power density between the main reflector and the feed is taken as the power density at the
main reflector. This can be described from the equation:


 Ssurface =           4P                         P      =       Power into feed               0.47 W
                                                                                                     2
                    Asurface                   Asurface =       Reflector Surface Area       15.90 m



 Ssurface =        4 x 0.47         =          0.11821   W/m2             or               0.01182   mW/ cm2
                    15.90


Radiation Hazard Report                         ZSU-CERAP                                            Page 7 of 9



6. Between Antenna and Ground

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


    Sg    =                  P               P =       Power into feed                    0.47 W
                                                                                                 2
                          Asurface           Asurface =Antenna Surface Area              15.90 m



                                                           2                                             2
    Sg    =                0.47      =        0.02955 W/m                 or           0.00296 mW/ cm
                          15.90


Radiation Hazard Report                                   ZSU-CERAP                                           Page 8 of 9




7. Summary of Calculations
                      Table 4. Summary of Expected Rdiation Levels for Uncontrolled Environment

                                                 Calculated Maximum
                                             Radiation Power Density Level
Region                                                 (mW/cm2)                      Hazard Assessment
1. Far Field (Rff = 243 m)                    Sff                    0.00102          Satisfies FCC MPE
2. Near Field (Rnf = 101.25 m)                Snf                    0.00237          Satisfies FCC MPE
3. Transition Region (Rnf < Rt < Rff)         St                     0.00237          Satisfies FCC MPE
4. Between Main Reflector and                 Ssr                  N/A                 No Subreflector
   Subreflector
5. Main Reflector                           Ssurface                 0.01182          Satisfies FCC MPE
6. Between Main Reflector and Ground          Sg                     0.00296          Satisfies FCC MPE




                          Table5. Summary of Expected Rdiation Levels for Controlled Environment

                                                 Calculated Maximum
                                             Radiation Power Density Level
Region                                                 (mW/cm2)                      Hazard Assessment
1. Far Field (Rff = m)                        Sff                    0.00102          Satisfies FCC MPE
2. Near Field (Rnf = m)                       Snf                    0.00237          Satisfies FCC MPE
3. Transition Region (Rnf < Rt < Rff)         St                     0.00237          Satisfies FCC MPE
4. Between Main Reflector and                 Ssr                  N/A                 No Subreflector
   Subreflector
5. Main Reflector                           Ssurface                 0.01182          Satisfies FCC MPE
6. Between Main Reflector and Ground          Sg                     0.00296          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.


Radiation Hazard Report                            ZSU-CERAP                                               Page 9 of 9



8. Conclusions
Bsed upon the above analysis, it is concluded that harmful levels of radiation will not exist within any
region of this earth terminal.



Document Created: 2007-11-07 11:45:40
Document Modified: 2007-11-07 11:45:40

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