Attachment RF Exposure Study

This document pretains to SES-MOD-INTR2013-02155 for Modification on a Satellite Earth Station filing.

IBFS_SESMODINTR201302155_1014457

Greg Best
Consulting, Inc.
9223 N. Manning Ave.
Kansas City, MO 64157
816-792-2913




September 30, 2013

                            RADIATION HAZARD STUDY

The purpose of this report is to analyze the non-ionizing radiation levels for a
Transportable KU Uplink utilizing an Advent Communications 1.2 meter Antenna. The
Office of Science and Technology Bulletin, No. 65, August 1997, specified that the
maximum level of non-ionizing radiation that a person may be exposed to over a 0.1 hour
(6 minute) period is an average power density equal to 5mW/cm2 (five milliwatt per
centimeter squared). This report will determine the power flux densities of the earth
station in the far field, near field, transition region, the main reflector surface, and
between the antenna edge and the ground.

The following parameters were used to calculate the various power flux densities for the
earth station:
        Antenna Diameter, (D)                      = 1.2 meters
        Antenna Surface Area, (Sa) = π(D2)/4       = 1.13 m2
        Wavelength at 14.25 Ghz, (λ)               = 0.021 meters
        Transmit Power at Flange, (P)              = 70 watts
        Antenna gain at 14.25GHz (G)               = 43.1 dBi
        Antenna Gain, (numeric, (Ges)              = 20417
        Antenna Aperture Efficiency, (η)           = 0.65
        ANSI Safe Power Density, (Ws)              = 5.0mW/cm2

Far Field Calculations
       The distance to the beginning of the far field region can be found by the following
       equation:

        Distance to the Far Field Region, (Rf) = (0.6(D2))/λ
               = 41.1meters

        The maximum main beam power density in the far field can be calculated as
        follows:

        Far Field On-axis power density, (Wf) = ((Ges)(P))/((4π)(Rf2))
                = 67.4 W/m2
                = 6.74 mW/cm2


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Near Field Calculations
      Power flux density is considered to be at a maximum value throughout the entire
      length of this region. The region is contained within a cylindrical volume having
      the same diameter as the antenna. Past the extent of the near field region, the
      power density decreased with distance from the transmitting antenna.

       The distance to the end of the near field can be determined by the following
       equation:
              Extent of Near Field, (Rn) = D2/(4(λ))                = 17.1 meters

       The maximum power density in the near field is determined by:

       Near Field On-axis power density, (Wn)
              = (16(η)P)/( π (D2))
              = 161 W/m2
              = 16.1 mW/cm2

Transition Region Calculations
       The transition region is located between the near and far field regions. As stated
       above, the power density begins to decrease with 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 in the near field
       region, as shown above, will not exceed 16.1 mW/cm2.


Far Field On-axis Distance to ANSI 5 mW/cm2 Calculations - (Dsafe)
       Since the power density decreases inversely with the square of the distance in the
       far field region, the distance to the On-axis Power Density of 5 mW/cm2 can be
       calculated from the following:
                (Dsafe) = Rf((Wf/Ws)0.5)
                        = 41.1x(6.74/5) 0.5 = 47.7 meters


Main Reflector Region Calculations
      Transmissions from the feed horn are directed toward the main reflector surface.
      The power density in the main reflector region can be calculated by the following:

               Main Reflector Surface Power Density         = 4(P)/Sa
                                                            = 247.8 W/m2
                                                            = 24.78 mW/cm2


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Off-axis Evaluation
       For off-axis calculations in the near-field and in the transition region, it can be
       assumed that, if the point of interest is at least one antenna diameter removed
       from the center of the main beam, the power density at that point would be at least
       a factor of 100 (20dB) less than the value calculated for the equivalent distance in
       the main beam.

       Near Field On-axis power density,
              Wn = 16.1 mW/cm2

       Near Field On-axis power density, 1.8 meters from main beam center
              Wn(off) = 0.01 Wn
                      = 0.161 mW/cm2

       Therefore, the area around and behind the dish at a distance of one dish diameter
       (1.8 meters) from the center of the main beam will be equal to or less than 16.1
       mW/cm2. For off-axis calculations in the far-field, the calculated main-beam
       power density of (Wf) can be multiplied by the appropriate relative power density
       factor obtained from the antenna gain pattern to obtain a more realistic estimate.

       The proposed antenna meets or exceeds the performance specifications under part
       25.209 of the FCC rules. The off-axis gain of this antenna, therefore, is equal to or
       greater than 10dBi less than the on-axis gain in any direction of 48 degrees or
       more removed from the center line of the main beam.

       Far Field On-axis power density
               Wf    = 6.74 mW/cm2

       Far Field Off-axis power density
               Wf(off) = 0.1 (Wf)
                       = 0.674 mW/cm2


Summary of Expected Radiation Levels

       Region                        Calculated Maximum             Hazard Assessment
                                     Radiation Level
                                     (mW/cm2)

Far Field Region: = 41.1 meters              6.74                   Potential Hazard
Near Field Region: = 17.1 meters             16.1                   Potential Hazard
Transition Region:                           16.1                   Potential Hazard
Reflector Surface Region:                    24.8                   Potential Hazard
Far Field off-axis Region:                   0.674                  Satisfies ANSI
Near Field off-axis Region:                  0.161                  Satisfies ANSI
Area around dish equal to dish diameter:     0.161                  Satisfies ANSI


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Conclusions
      Based on the above analysis it is concluded that the ANSI standards of 5 mW/cm2
      or greater would not exist in regions normally occupied by the public or the earth
      station’s operating personnel.

       In the area of the Main Reflector, personnel would only enter that area to perform
       maintenance functions and the transmitter would not be operational at that time,
       so the ANSI standard of 5 mW/cm2 would be met.

       In the area of the Near Field and Transition Region, since the antenna is mounted
       at a height of 3 meters above the ground, and will not be pointed in the direction
       of populated areas, the ANSI standards would again be met. Warning signs are
       attached to the vehicle to warn individuals of the potential for hazardous
       radiation.

       Because this is a mobile unit and conditions vary from operating site to operating
       site, procedures have been established for the operational personnel to verify that
       the antenna is not pointing in the direction of populated areas.

       In addition, the transmit power used in these calculations is greater than that
       which will typically be utilized by the earth station. The higher power level was
       used for the calculations so that any future upgrades to the RF system would not
       require license modifications.



Document Created: 2013-09-30 17:05:51
Document Modified: 2013-09-30 17:05:51

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