Attachment RADIATION HAZARD STU

This document pretains to SES-LIC-20060412-00639 for License on a Satellite Earth Station filing.

IBFS_SESLIC2006041200639_481425

                         RADIATION HAZARD STUDY
                   ANTENNA- PATRIOT CORPORATION 2.4 METER

                        (Antenna Model No. TX-FCC240KUS)

         Analysis of Non-Ionizing Radiation for Patriot Corporation
          2.4 Meter (Model No. TX-FCC240KUS) Earth Station Systems
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 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 contains the parameters that are used to calculate the various power
densities for the earth stations.


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

         Parameter                    Abbreviation      Value         Units
         Antenna Diameter                   D           2.4              m
         Antenna Surface Area              SAA          π * D2/4         m2
         Feed Flange Diameter              DFF          14.0             cm
         Feed Flange Surface Area          SFA          π * DF 2/4      cm2
         Frequency (Ku-band)                F           14250           MHz
         Frequency (Ku-band)                T           7.018E-11        s
         Wavelength                         λ           c/(t)            m
         Transmit Power                     PW          8.00             W
         Antenna Gain                      GES          49.6            dBi
         Antenna Efficiency                 η           0.70            n/a
         EIRP                             EIRP1         729608.693        W
         Speed of Light                     C           299792458       m/s
         Pi                                 π           3.141592654     n/a


1. Far Field Distance Calculation
The distance to the beginning of the far field can be determined from the
following equation:(1)
Transition distance to the Far Field Region
                        (RFF) = 0.60 * D2 / λ                                 (1)
                              = 164.16 m

where:         RFF = distance to beginning of far-field
               D = antenna diameter
               λ = wavelength

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
                  (SFF) = GES * PW / 4 * π * RF2 or EIRP / 4 * π * RF2  (2)
                               = 2.154 W/m2
                                             2
                               = 0.215 mW/cm

where:         SFF = power density (on axis)
               PW = power fed to the antenna
               GES = power gain of the antenna in the direction of interest
               relative to an isotropic radiator
               RF = distance to the point of interest
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
                        (RNF)    = D2 / (4 * λ)                               (3)
                                 = 68.40 m


1
    EIRP Calculator when PW = 8.0W and GES = 49.6 dBi


where:      RNF = extent of near-field
            D = maximum dimension of antenna (diameter if circular)
            λ = wavelength

The maximum power density in the Near Field can be determined from the
following equation:(4)
Near Field Power Density
                        (SNF)   = 16.0 * η * PW / π * D2           (4)
                                = 4.951 W/m2
                                = 0.495 mW/cm2
where:      SNF = maximum near-field power density
            η = aperture efficiency, typically 0.5-0.75
            PW = power fed to the antenna
            D = antenna diameter
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
                        (ST) = SNF * RNF / RT2                            (5)
                              = 0.495 mW/cm

where:      ST = power density in the transition region
            SNF = maximum power density for near-field calculated above
            RNF = extent of near-field calculated above
            RT = distance to point of interest

4. Region between Main Reflector and 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:(6)

Power Density at Feed Flange
                        (SFL)   = 4 * PW / AS                             (6)
                                = 207.876 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:(7)
Power Density at the Main Reflector Surface
                        (SRS) = 4 * PW / A2S                              (7)
                              = 7.074 W/m
                              = 0.707 mW/cm2


  where:      SRS = maximum power density at the antenna surface
              PW = power fed to the antenna
              AS = physical area of the aperture antenna

  6. Region between Main 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
                          (SG) =    PW / AS                                  (8)
                                =   1.768 W/m2
                                =   0.177 mW/cm2
  Table 4. Summary of Expected Radiation levels for Uncontrolled Environment

Region                           Calculated Maximum Radiation      Hazard Assessment
                                 Power Density Level (mW/cm2)
1. Far Field (RFF) = 164.16 m                0.215                 Satisfies FCC MPE
2. Near Field (RNF) = 68.40 m                0.495                 Satisfies FCC MPE
3. Transition Region                         0.495                 Satisfies FCC MPE
      SNF < ST < SFF, (ST)
4. Between Main Reflector and                207.876               Potential Hazard
   Subreflector
5. Main Reflector                             0.707                Satisfies FCC MPE
6. Between Main Reflector and                 0.177                Satisfies FCC MPE
   Ground

  Table 5. Summary of Expected Radiation levels for Controlled Environment

Region                           Calculated Maximum Radiation   Hazard Assessment
                                  Power Density Level mW/cm2)
1. Far Field (RFF) = 164.16 m                0.196              Satisfies FCC MPE
2. Near Field (RNF) = 68.40 m                0.459              Satisfies FCC MPE
3. Transition Region                         0.459              Satisfies FCC MPE
      SNF < ST < SFF, (ST)
4. Between Main Reflector and                112.863            Potential Hazard
   Subreflector
5. Main Reflector                             0.707             Satisfies FCC MPE
6. Between Main Reflector and                 0.177             Satisfies FCC MPE
   Ground

  It is the applicant's 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 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: 2006-02-03 17:05:55
Document Modified: 2006-02-03 17:05:55

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