Attachment RadHaz Study

This document pretains to SES-STA-20160517-00441 for Special Temporal Authority on a Satellite Earth Station filing.

IBFS_SESSTA2016051700441_1136373

                           RADIATION HAZARD ANALYSIS
                             1.2 meter EARTH STATION


        This analysis calculates the non-ionizing radiation levels due to transmission
from the earth station. The Office of Engineering and Technology (OET) Bulletin, No. 65
Edition, specifies that the Maximum Permissible Exposure (MPE) limit for persons in a
General Population/Uncontrolled environment to non-ionizing radiation averaged over a
thirty minute period, is a power density equal to 1 milli-watt per centimeter squared.

      The analysis estimates the maximum power density levels in the vicinity of the
antenna for six regions: near field; far field; transition zone; near the reflector surface;
between the reflector and the ground; and between the feed mouth and the reflector.

      A brief discussion for each region is given below. The attached table shows the
assumptions, formulae and calculations for all cases.

1. NEAR FIELD REGION

        The near field (or Fresnel region) is essentially an elliptical volume with its axis
co-incident with the antenna boresight. The base of this volume is the same as the
aperture of the antenna. According to OET Bulletin No. 65, its length is equal to the
square of the diameter divided by four times the wavelength. The larger dimension of
the antenna (the width) is used in place of the diameter of a circular aperture as a worst
case approximation. The maximum value of the on-axis power density is calculated
using the equation given in the Bulletin by simply replacing the area of the circular
aperture term with the area of the elliptical aperture antenna.

2. FAR FIELD REGION

        The far field (or Fraunhofer region) extends outwards from a distance equal to
0.6 times the square of the reflector diameter divided by the wavelength, according to
OET Bulletin No. 65. The larger dimension of the antenna (the width) is used in place of
the diameter of a circular aperture. Power density varies inversely as the square of the
distance. The maximum value of the power density is calculated using the equation
given in the Bulletin.

3. TRANSITION REGION

        The transition region between the near field and the far field regions will have a
power density that essentially decreases inversely with increasing distance. In any
case, the maximum power density will not exceed the maximum value calculated for the
near field region, for the purpose of evaluating potential exposure.

4. REGION NEAR REFLECTOR SURFACE

        The power density in the region near the reflector surface can be estimated as
equal to four times the power divided by the area of the reflector surface, assuming that
the illumination is uniform and that it would be possible to intercept equal amounts of
energy radiated towards and reflected from the reflector surface.


5.   REGION BETWEEN REFLECTOR AND GROUND

       The power density in the region between the reflector and the ground can be
estimated as equal to the power divided by the area of the reflector surface, assuming
uniform illumination over the surface of the reflector.

6. REGION BETWEEN THE FEED MOUTH AND REFLECTOR

        The radiation from the feed is essentially confined to a conical region whose
vertex is located at the feed mouth and extends to the reflector. Power density is
maximum at the feed mouth, and can be estimated as four times the output power
divided by the area of the feed mouth.

7. RESULTS OF ANALYSIS

The radiation analyses in the following Table was performed using the definitions from
the previous sections and assuming nominal operating conditions. As can be seen from
this analysis, the terminal exceeds the OET-Bulletin 65 MPE levels in all regions. As
such, when the terminal is operating an area sufficiently large surrounding the terminal
will be cordoned off and properly marked to ensure that no one enters an area where the
maximum MPE would be exceeded.


                                       RADIATION HAZARD ANALYSIS

                   Nomenclature                    Formula            Value                     Unit


                INPUT PARAMETERS


D = Antenna Diameter                                                          1.2              meters

d = Diameter of Feed Mouth                                                 0.127               meters

P = Max Power into Antenna                                                  69.2                Watts

η = Apperture Efficiency                                                    61.6                  %

Frequency                                                                        14             GHz

λ = Wavelength @ 14 GHz                                                    0.021               meters


                CALCULATED VALUES


A = Area of Reflector                               pi*D^2/4                1.13              meters^2

l = Length of Near Field                             D^2/4λ                16.80               meters

L = Beginning of Far Field                          0.6D^2/λ               40.32               meters

G = Antenna Gain @ 14.5 GHz (n=100% max value)     η(pi*D/λ)^2         19055.14                 linear

Antenna Gain in dB                                  10*log(G)              42.80                 dBi

a = Area of Feed Mouth                               pi*d^2/4               0.01              meters^2


                                      POWER DENSITY CALCULATIONS

                                                   Max Power Density In Region           Hazard Assessment
                                                                  Value
                           Region                   Formula       (W/m^2)             (FCC MPE Limit=50 W/m^2)

1. Near Field                                        4*η*P/A              150.68      >FCC MPE Limit (See Text)

2. Far Field                                      G*P/(4*pi*L^2)           64.55      >FCC MPE Limit (See text)
                                                    <= Nr Fld
3. Transition                                        Region               150.68      >FCC MPE Limit (See Text)

4. Near Reflector Surface                             4*P/A               244.74      >FCC MPE Limit (See Text)

5. Between Reflector and Ground                        P/A                 61.19      >FCC MPE Limit (See text)

6. Between feed mouth and reflector                   4*P/a            21850.87         > FCC Limit (See Text)



Document Created: 2016-05-16 14:50:55
Document Modified: 2016-05-16 14:50:55

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