Attachment Radiation Hazard Exh

This document pretains to SES-MOD-20101222-01633 for Modification on a Satellite Earth Station filing.

IBFS_SESMOD2010122201633_857406

Koch - Application for a Earth Station Authorization

                           Exhibit A - Radiation Hazard Study

When applying for a license to construct and operate, modify, or renew an earth station,
it is understood that the applicant must certify whether grant of the application will have
significant environmental impact as defined in the Federal Communications
Commission's (FCC) rules, 47 C.F.R. § 1.1307.

In this report Koch analyzes the maximum radiofrequency (RF) levels emitted from the
satellite communications antenna described below. The reference document for this
study is OET Bulletin No.65, Edition 97-01, Evaluating Compliance with FCC Guidelines
for Human Exposure to Radiofrequency Electromagnetic Fields, August 1997.

1.      Antenna Near-Field Power Density Calculation
        The extent of the near-field is defined by the following equation1:

                        Rnear = (Dantenna)² / ( 4˨ )

        where:          Rnear = extent of the near-field (in meters)
                        Dantenna = diameter of the antenna main reflector (in meters)

                        ˨ = wavelength of the RF transmit frequency (in meters)

        The maximum on-axis power density within near-field is defined by the following
        equation2:

                        Snear = {(16η Pfeed) / [˭ (Dantenna)²]} / 10


        where:          Snear = maximum on-axis power density within the near-field (in
                        milliwatts per square centimeter)
                        η = antenna aperture efficiency
                        Pfeed = maximum power into antenna feed flange (in watts)
                        Dantenna = diameter of the antenna main reflector (in meters)




1
 See OET 65 page 27 formula (12).
2
 See OET 65 page 28 formula (13). The right side of the equation is divided by 10 so that the power
                                                     2
spectral density units on the left side will be mW/cm .


                                                Page 1 of 6


Koch - Application for a Earth Station Authorization

                           Exhibit A - Radiation Hazard Study

2.      Antenna Far-Field Power Density Calculation
        The distance to the beginning of the far-field region is defined by the following
        equation3:
                            Rfar = [0.6(Dantenna)²] /˨

        where:          Rfar = distance to beginning of far-field (in meters)
                        Dantenna = diameter of the antenna main reflector (in meters)

                        ˨ = wavelength of the transmit frequency in (meters)

        The maximum on-axis power density within the far-field is defined by the
        following equation4:
                             Sfar = [(Pfeed Gantenna) / 4˭ (Rfar)²] / 10
        where:          Sfar = maximum on-axis power density in the far-field (in milliwatts
                        per square centimeter)
                        Pfeed = maximum power into antenna feed flange (in watts)
                        Gantenna = antenna main beam gain at AF transmit frequency (in
                        numeric value)
                        Rfar = distance to beginning of far-field (in meters)

        The on-axis power densities calculated from the above formulas represent the
        maximum exposure levels that the system can produce. Off-axis power densities
        will be considerably less.

3.      Antenna Transition Region Power Density Calculation

        The on-axis power spectral density for the transition region is defined by the
        following formula5:
                              Str = Snear Rnear / R
        where:        Str = maximum on-axis power density in the transition region
                      (in milliwatts per square centimeter)
                        Snear = maximum on-axis power density in the near-field (in
                        milliwatts per square centimeter)
                        Rnear = is the distance that defines the end of the near field region.
                        R = is the distance within in the transition region between the near
                                field and far field regions.


3
  See OET 65 page 29 formula (16).
4
  See OET 65 Section 2, page 19, formula (3) and page 29, formula (18). The right side of the equation is
                                                                                     2
divided by 10 so that the power spectral density units on the left side will be mW/cm .
5
  See OET 65 page 34, formula (17).


                                                Page 2 of 6


Koch - Application for a Earth Station Authorization

                             Exhibit A - Radiation Hazard Study

        Since the distance within the transition region “R” will always be greater than the
        distance to the end of the near field region “Rnear” then Str ” Snear.

4.      Antenna Feed-Flange Power Density Calculation

        The maximum power density at the antenna feed-flange is defined by the
        following equation6:

                                 Sfeed = 1000{[4(Pfeed)] / {[˭ (Dfeed)²] / 4}}

        where:           Sfeed = maximum power density at the antenna feed-flange (in
                         milliwatts per square centimeter)
                         Pfeed = maximum power into antenna feed flange (in watts)
                         Dfeed = diameter of the antenna feed-flange (in centimeters )

5.      Antenna Main Reflector Power Density Calculation
        The maximum power density in the main reflector region of the antenna is
        defined by the following equation7:

                                 Santenna = {[4(Pfeed)] / {[˭ {(Dantenna)²] / 4}} / 10

        where:           Santenna = maximum power density in the antenna main reflector
                         region (in milliwatts per square centimeter)

                         Pfeed = maximum power into antenna feed flange (in watts)

                         Dantenna = diameter of the antenna main reflector (in meters)




6
  The formula is multiplied by 1,000 on the right side of the equation to change the units from watts on the
right side of the equation to milliwatts on the left side.
7
  See OET 65 equation (11) which is “S = 4 P / A”, where “A” is the area of the reflector and for a circular
                         2
reflector A =  (Dantenna ) / 4. The formula is divided by 10 on the right side to change the units from
meters and watts on the right side of the formula to cm and mW on the left side.


                                                Page 3 of 6


Koch - Application for a Earth Station Authorization

                           Exhibit A - Radiation Hazard Study

6.      Power Density Calculation between the Antenna Main Reflector and the Ground
        The maximum power density between the antenna main reflector and the ground
        is defined by the following equation:

                                 Sground = {Pfeed / {[˭ {(Dantenna)²] / 4}} / 10

        where:          Sground = maximum power density between the antenna main
                        reflector and the ground (in milliwatts per square centimeter)

                        Pfeed = maximum power into antenna feed flange (in watts)

                        Dantenna = diameter of the antenna main reflector (in meters)


7.      Calculation of Radiation Levels and FCC Standards

        Koch understands that a licensee must ensure that people are not exposed to
        harmful levels of radiation. Koch plans to utilize the 1.2 meter Prodelin fixed and
        temporary-fixed antennas with 0.5 and 2-watt transmitters. The transmitters will
        be operated at full output power. The preceding formulas were used to calculate
        the power densities shown on the following page.

        The Commission’s maximum permissible exposure (MPE) limits at the transmit
        frequency band for the earth stations included in this application are provided in
        the table set forth below.

             Maximum Permissible Exposure (MPE) Limits at 14,000-14,500 MHz
                                                         Power        Averaging
                                                        Density         Time
          Exposure Criteria                            (mW/cm2)       (minutes)      Reference
                                                                                   OET 65 page 67
          general population/uncontrolled
                                                              1            6         Appendix A
          exposure
                                                                                     Table 1 (A)
                                                                                   OET 65 page 67
          occupational/controlled exposure                    5           30         Appendix A
                                                                                     Table 1 (B)




                                                Page 4 of 6


Koch - Application for a Earth Station Authorization

                                                 Exhibit A - Radiation Hazard Study

                      Radiation Hazard Calculations – 1.2 meter Prodelin Antenna
                   Antenna main reflector diameter                             1.2 m                       1.2 m
                   Feed flange diameter                                       7.49 cm                    7.49 cm
                   RF transmit frequency                                     14.250 GHz                14.250 GHz
                   Maximum power into antenna feed-flange                      0.5 W                      2.0 W
                   Main-beam gain of antenna                                  43.2 dBi                   43.2 dBi
                   Antenna aperture efficiency                                  0.65                       0.65
                   Antenna main reflector surface area                        1.131 m²                   1.131 m²
                   Feed flange surface area                                   44.1 cm²                   44.1 cm²
                   Wavelength at RF transmit frequency                        0.021 m                    0.021 m
                   Distance to beginning of far-field region                   41.0 m                     41.0 m
                   Distance to extent of near-field region                     17.1 m                     17.1 m

                                                                                          2                         2
                   Max. on-axis power density in far-field                  0.05 mW/cm                 0.20 mW/cm
                                                                        Satisfies MPE Limits       Satisfies MPE Limits
                                                                                         2                          2
                   Max. on-axis power density in near-field                 0.12 mW/cm                 0.46 mW/cm
                                                                        Satisfies MPE Limits       Satisfies MPE Limits
                                                                                         2                          2
                   Max. on-axis power density in transition region          0.12 mW/cm                 0.46 mW/cm
                                                                        Satisfies MPE Limits       Satisfies MPE Limits
                                                                                         2                           2
                   Max. power density at feed-flange (see note)             45.4 mW/cm                181.4 mW/cm
                                                                         Potential Hazard           Potential Hazard
                                                                                         2                          2
                   Max. power density at main reflector                     0.18 mW/cm                 0.71 mW/cm
                                                                       Satisfies All MPE Limits   Satisfies All MPE Limits
                                                                                         2                          2
                   Max. power density between main reflector and            0.05 mW/cm                 0.18 mW/cm
                   ground                                              Satisfies All MPE Limits   Satisfies All MPE Limits

                                                                                              2                              2
       Note: Feed flange power density exceeds both uncontrolled MPE limit of 1 mW/cm and controlled MPE limit of 5 mW/cm




                                                               Page 5 of 6


Koch - Application for a Earth Station Authorization

                           Exhibit A - Radiation Hazard Study
8.      Conclusion

        The calculations provided in this exhibit indicate that MPE limits are exceeded in
        certain areas of the 1.2 meter General Dynamics SATCOM Technologies
        Prodelin Series 1123-350 earth stations with 0.5 and 2-watt transmitters which
        are the subject of this application. The 1.2 meter antenna exceeds the MPE
        limits for occupational/controlled and general population/uncontrolled exposure at
        the feed horn and in the area between the feed horn and reflector for the 0.5 and
        2-watt transmitters. All 1.2 meter antennas will be installed such that the area
        where the MPE is exceeded will not be readily accessible to humans.
        Additionally, all transmissions will be terminated whenever the technical staff is
        required, for maintenance or other activities, to occupy the regions where
        potentially hazardous power density levels can exist. The earth station
        electronics to be used with the 1.2 meter antenna have an automatic shut-off
        mechanism that will terminate transmissions if the receive signal is lost, which
        will occur if there is blockage of the area between the feed horn and reflector.




                                                Page 6 of 6



Document Created: 2010-12-20 15:18:52
Document Modified: 2010-12-20 15:18:52

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