Attachment Exhibit C

This document pretains to SES-MFS-20170221-00188 for Modification w/ Foreign Satellite (earth station) on a Satellite Earth Station filing.

IBFS_SESMFS2017022100188_1189018

                                                                                               Document No.:    ERROR! UNKNOWN
                                                    Exhibit C
                                                                                               Rev.:               Error! Unknown
                                                                                               Page:                         1/8
                                                                                               Date:                  12/21/2016




                                               Radiation Hazard Analysis

               This exhibit constitutes the radiation hazard analysis for Row 44 ’s transmitter using the FCC
               procedure outlined in FCC Bulletin #65. The limit for exposure to RF energy, for frequencies
               greater than 1.5 GHz, is 5 mW/cm2 for up to a six minute duration (occupational/controlled
               exposure) and a 1 mW/cm2 for up to 30 minute duration (categorized as general population/
               uncontrolled exposure).1

               Analysis for exposure to radiation is presented for the near field, far field, and the transition
               region. Appropriate separation-distances are provided for the controlled and uncontrolled
               exposure scenarios considering individuals located in the direction of either the antenna’s main
               beam or its side lobes.

    Analysis
               The extent of the near field region for the main beam is defined in terms of the radius Rnf
               according to the relation
                                                 Equation 1: Near Field Region Radius




               where D is the maximum dimension of the antenna panel, and λ is the transmit signal’s
               wavelength.

               The near field maximum power density, Snf, is determined from
                                           Equation 2: Near Field Maximum Power Density




               where PPA is the transmit power (after cable losses are accounted for) and A is the surface area
               of the antenna aperture, and   is the efficiency of the antenna aperture.

               The far field region for the main beam is defined as beginning and continuing out-from a radius
               Rff, given by
                                                  Equation 3: Far Field Region Radius




               The far field power density Sff at the minimum far field radius and farther is given in terms of the
               EIRP denoted by PEIRP according to




1
 “Questions and Answers about Biological Effects and Potential Hazards of Radiofrequency Electromagnetic Fields,” Federal
Communications Commission, Office of Engineering and Technology, Bulletin 65, Fourth Edition, August, 1999, p. 15
http://www.fcc.gov/Bureaus/Engineering_Technology/Documents/bulletins/oet56/oet56e4.pdf


                                                                                 Document No.:   ERROR! UNKNOWN
                                          Exhibit C
                                                                                 Rev.:             Error! Unknown
                                                                                 Page:                       2/8
                                                                                 Date:                12/21/2016



                                         Equation 4: Far Field Power Density




         (The value of PEIRP should already consider coax losses and aperture efficiency.)
         Note that when the radius is expressed in meters, the Power Density is in units of W/m2. The
         results are converted to units consistent with the FCC limits (mW/ cm2) by multiplying values in
         W/m2 by 0.1.

Near Field Exposure from Main Antenna Beam
          The GSAA antenna has the “quasi-oval” dimensions of D=0.627 m (24.7 inches) and h=0.198 m
          (7.8 inches). However, all considered, the adjusted surface area “A” equals 0.1019 m2.

         At the highest frequency of 14.5 GHz, the wavelength is 0.0207 m. The near field radius is then
         Rnf = 4.75 m

         The antenna aperture efficiency factor, η, is 0.77 and losses attributable to various hardware is
         4.21 dB.

         Based on the wavelength and the panel-width given farther above, the Far Field radius is then Rff
         = 11.41 m

         In the operation of GEE’s system, the antenna may be fed with ten different signal levels, as
         provided in Table 1 and Table 2. The associated Near Field radius Power Density Values are:
           Table 1: HPA Transmit Power, EIRP, and Near Field Power Density as a Distance Rnf
            HPA Transmit          HPA Transmit           Transmit Power        Snf (mW/cm2)*
            Power (Watts)         Power (dBm)                (dBm)*
               25.00                 43.98                    39.77                  7.17
               22.28                 43.48                    39.27                  6.39
               19.86                 42.98                    38.77                  5.69
               17.70                 42.48                    38.27                  5.07
               15.77                 41.98                    37.77                  4.52
               14.06                 41.48                    37.27                  4.03
               12.53                 40.98                    36.77                  3.59
               11.17                 40.48                    36.27                  3.20
                9.95                 39.98                    35.77                   2.85
                8.87                 39.48                    35.27                   2.54
                7.91                 38.98                    34.77                   2.27
                7.05                 38.48                    34.27                   2.02
                6.28                 37.98                    33.77                   1.80
                5.60                 37.48                    33.27                   1.60
                4.99                 36.98                    32.77                   1.43
                4.45                 36.48                    32.27                   1.27
                3.96                 35.98                    31.77                   1.14
                3.53                 35.48                    31.27                   1.01
                3.15                 34.98                    30.77                  0.902
                2.81                 34.48                    30.27                  0.804


                                                                               Document No.:   ERROR! UNKNOWN
                                          Exhibit C
                                                                               Rev.:             Error! Unknown
                                                                               Page:                       3/8
                                                                               Date:                12/21/2016



             HPA Transmit          HPA Transmit           Transmit Power      Snf (mW/cm2)*
             Power (Watts)          Power (dBm)                (dBm)*
                 2.50                    33.98                   29.77             0.717
                                       *Incorporates hardware losses
          Note that the equation for the maximum Power Density in the Near Field considers a given
          radiated signal/power confined-to and passing-through a physical area corresponding to that of
          the antenna aperture. Along these lines, the Snf values cannot be assumed to vary with distance
          from the antenna, for locations within the Near Field.

          The associated Far Field radius Power density values are as well:
             Table 2: HPA Transmit Power, EIRP, and Far Field Power Density at Distance Rff
             HPA Transmit         HPA Transmit           EIRP (dBm)*              Sff
             Power (Watts)        Power (dBm)                                  (mW/cm2)*
                25.00                  43.98                 73.37               1.33
                22.28                  43.48                 72.87               1.19
                19.86                  42.98                 72.37               1.06
                17.70                  42.48                 71.87               0.942
                15.77                  41.98                 71.37               0.839
                14.06                  41.48                 70.87               0.748
                12.53                  40.98                 70.37               0.667
                11.17                  40.48                 69.87               0.594
                 9.95                  39.98                 69.37               0.530
                 8.87                  39.48                 68.87               0.472
                 7.91                  38.98                 68.37               0.421
                 7.05                  38.48                 67.87               0.375
                 6.28                  37.98                 67.37               0.334
                 5.60                  37.48                 66.87               0.298
                 4.99                  36.98                 66.37               0.265
                 4.45                  36.48                 65.87               0.237
                 3.96                  35.98                 65.37               0.211
                 3.53                  35.48                 64.87               0.188
                 3.15                  34.98                 64.37               0.167
                 2.81                  34.48                 63.87               0.149
                 2.50                  33.98                 63.37               0.133
                                    * Incorporates hardware losses


          Row 44 is considering exposure to two values of Power Density: 5 mW/cm2 and 1 mW/cm2.

5 mW/cm2 Analysis
        Some of the Snf values in Table 1 are greater than 5 mW/cm2, and some are less than 5 mW/cm2.
        As the Near Field analysis assumes that the Power Density in the Near Field does not vary with
        distance, for cases where Snf values are less than 5 mW/cm2, there is no location in the Near
        Field where the Power Density is higher. No individual located in the Near Field anywhere
        whatsoever will be subjected to a 5 mW/cm2 exposure level.


                                                                                Document No.:   ERROR! UNKNOWN
                                           Exhibit C
                                                                                Rev.:             Error! Unknown
                                                                                Page:                       4/8
                                                                                Date:                12/21/2016



          For the Snf values in Table 1 which are greater than 5 mW/cm2, we’ll assume that the Power
          Density decreases linearly between the Near Field radius and the Far Field radius. Interpolating
          the respective Power Density values, Table 3 lists the distances where the Power Density will
          equal 5 mW/cm2 (for the selected TX powers).

                      Table 3: Separation for Controlled Exposure Limit (Main Beam)
          HPA Transmit                 Separation for Controlled Limit (5 mW/cm2)
          Power (dBm)                   Meters                            Feet
             43.98                       7.22                             23.7
             43.48                       6.52                             21.4
             42.98                       5.74                             18.8
             42.48                       4.87                             16.0

          As mentioned previously, if for Snf values less than 5 mW/cm2, in attempting to determine the
          location at which the Power Density may equal 5 mW/cm2, we cannot project a location closer
          than Rnf.

          For such cases, and for these power levels, a conservative approach will be adopted. Table 4
          therefore designates the Near Field radius of 4.75 meters (15.6 feet) as the minimum physical
          separation guaranteeing an exposure no greater than 5 mW/cm2.
                      Table 4: Separation for Controlled Exposure Limit (Main Beam)
                    HPA Transmit       Separation for Controlled Limit (5 mW/cm2)
                    Power (dBm)          Meters                   Feet
                       41.98              4.75                    15.6
                       41.48              4.75                    15.6
                       40.98              4.75                    15.6
                       40.48              4.75                    15.6
                       39.98              4.75                    15.6
                       39.48              4.75                    15.6
                       38.98              4.75                    15.6
                       38.48              4.75                    15.6
                       37.98              4.75                    15.6
                       37.48              4.75                    15.6
                       36.98              4.75                    15.6
                       36.48              4.75                    15.6
                       35.98              4.75                    15.6
                       35.48              4.75                    15.6
                       34.98              4.75                    15.6
                       34.48              4.75                    15.6
                       33.98              4.75                    15.6


1 mW/cm2 Analysis
        For the cases in Table 2 where the Sff values are greater than 1 mW/cm2, the distance of
        separation will be calculated by inverse-squared analysis. For the cases in Table 2 where the Sff
        values are less than 1 mW/cm2, linear interpolation will be used to identify the location between


                                                                    Document No.:   ERROR! UNKNOWN
                                Exhibit C
                                                                    Rev.:             Error! Unknown
                                                                    Page:                       5/8
                                                                    Date:                12/21/2016



Rnf and Rff where the 1 mW/cm2 value will be encountered. For the cases in Table 1 where the
Snf values are less than 1 mW/cm2, a distance of Rnf will apply.

For the TX levels where Sff values exceed 1 mW/cm2, standard inverse-squared analysis has
been used to identify the necessary separations listed in Table 5.


                                                                        Document No.:   ERROR! UNKNOWN
                                   Exhibit C
                                                                        Rev.:             Error! Unknown
                                                                        Page:                         6/8
                                                                        Date:                12/21/2016




           Table 5: Separation for Uncontrolled Exposure Limit (Main Beam)
                   HPA Transmit       Separation for Uncontrolled
                   Power (dBm)            Limit (1 mW/cm2)
                                        Meters           Feet
                       43.98             13.1            43.1
                       43.48             12.4            40.7
                       42.98             11.7            38.4

For the TX levels where Sff values are less than 1 mW/cm2, linear interpolation will be employed
(considering the Power Density values at Rnf and Rff) in order to project the location at which a 1
mW/cm2 exposure exists.

Assuming that the Power Density decreases linearly between the Near Field radius and the Far
Field radius, the distances at which the Power Density equals 1 mW/cm2 are listed in Table 6.
           Table 6: Separation for Uncontrolled Exposure Limit (Main Beam)
                   HPA Transmit       Separation for Uncontrolled
                   Power (dBm)            Limit (1 mW/cm2)
                                        Meters          Feet
                        42.48            11.3           37.1
                        41.98            11.1           36.5
                        41.48            10.9           35.7
                        40.98            10.6           34.9
                        40.48            10.4           34.0
                        39.98            10.1           33.0
                        39.48            9.71           31.8
                        38.98            9.31           30.6
                        38.48            8.87           29.1
                        37.98            8.38           27.5
                        37.48            7.83           25.7
                        36.98            7.21           23.6
                        36.48            6.51           21.4
                        35.98            5.73           18.8
                        35.48            4.85           15.9

For TX levels where Snf values are less than 1 mW/cm2, a conservative approach will be adopted.
Table 7 therefore references the Near Field radius of 4.75 meters (15.6 feet) as the minimum
physical separation to facilitate an exposure no greater than 1 mW/cm2 for the respective power
levels.

           Table 7: Separation for Uncontrolled Exposure Limit (Main Beam)
                    HPA Transmit        Separation for Uncontrolled
                    Power (dBm)             Limit (1 mW/cm2)
                                         Meters            Feet
                        34.98             4.75             15.6
                        34.48             4.75             15.6


                                                                                 Document No.:     ERROR! UNKNOWN
                                             Exhibit C
                                                                                 Rev.:               Error! Unknown
                                                                                 Page:                         7/8
                                                                                 Date:                  12/21/2016



                              HPA Transmit        Separation for Uncontrolled
                              Power (dBm)             Limit (1 mW/cm2)
                                                   Meters            Feet
                                   33.98            4.75             15.6

Exposure from Antenna Beam Side-Lobes
        The previous calculations assumed the individual was located in the sight of the main antenna
        beam (The main antenna beam is less than 10 degrees beam-width in azimuth). The following
        analysis provides insight into the exposure when an individual is located to the side of or behind
        the antenna.

          Table 8 provides Power Density values at distances Rnf and Rff when an individual is located in
          the direction of the highest antenna side-lobe (which corresponds to a 17 dB gain reduction from
          the main beam).
                Table 8: Transmit Power, EIRP, and Far Field Power Density at Distance Rff
            HPA           Sidelobe        Sidelobe      Sidelobe        Snf                 Sff
          Transmit          (dB)          Transmit        EIRP      (mW/cm2)             (mW/cm2)
        Power (dBm)                         Power        (dBm)*
                                           (dBm)*
            43.98            -17            22.77         52.16       0.0542              0.0265
            43.48            -17            22.27         51.66       0.0483              0.0237
            42.98            -17            21.77         51.16       0.0431              0.0211
            42.48            -17            21.27         50.66       0.0384              0.0188
            41.98            -17            20.77         50.16       0.0342              0.0167
            41.48            -17            20.27         49.66       0.0305              0.0149
            40.98            -17            19.77         49.16       0.0272              0.0133
            40.48            -17            19.27         48.66       0.0242              0.0119
            39.98            -17            18.77         48.16       0.0216              0.0106
            39.48            -17            18.27         47.66       0.0192             0.00942
            38.98            -17            17.77         47.16       0.0171             0.00839
            38.48            -17            17.27         46.66       0.0152             0.00748
            37.98            -17            16.77         46.16       0.0136             0.00667
            37.48            -17            16.27         45.66       0.0121             0.00594
            36.98            -17            15.77         45.16       0.0108             0.00530
            36.48            -17            15.27         44.66      0.00965             0.00472
            35.98            -17            14.77         44.16      0.00860             0.00421
            35.48            -17            14.27         43.66      0.00766             0.00375
            34.98            -17            13.77         43.16      0.00683             0.00334
            34.48            -17            13.27         42.66      0.00609             0.00298
            33.98            -17            12.77         42.16      0.00542             0.00265
                                     *Incorporates Coax Feeder Loss

          As is obvious, neither the Snf or Sff values (at distances Rnf or Rff) exceed even the uncontrolled
          limit of 1 mW/cm2. Therefore, no minimum distance criteria of separation will apply for individuals
          located in directions outside the antenna’s main beam.


                                                                                Document No.:   ERROR! UNKNOWN
                                           Exhibit C
                                                                                Rev.:             Error! Unknown
                                                                                Page:                       8/8
                                                                                Date:                12/21/2016



Summary
          This exhibit presents the radiation hazard analysis for Row 44 ’s GSAA transmitter transmitting at
          HPT output/transmit power levels of 33.98 to 43.98 dBW in increments of 0.5 dB. Considering
          the worst-cases, individuals positioned in the direction of the main beam of the antenna, and in
          the controlled exposure environment should be at least 7.22 meters (23.7 feet) away from the
          antenna aperture (for a six minute duration). Under the same circumstance, individuals in an
          uncontrolled exposure environment should be at least 13.1 meters (43.1 feet) away from the
          antenna aperture (for a 30 minute duration).

          For individuals located in directions which are outside the antenna’s main beam, no minimum
          distance of separation is applicable.



Document Created: 2017-01-26 13:30:56
Document Modified: 2017-01-26 13:30:56

© 2024 FCC.report
This site is not affiliated with or endorsed by the FCC