Attachment HUBRADHAD

This document pretains to SES-LIC-20050217-00198 for License on a Satellite Earth Station filing.

IBFS_SESLIC2005021700198_426661

Radiation Hazard Analysis                                           Skyport HUB
                                                            Exhibit A Page 1 of 12




                          RF RADIATION HAZARD ANALYSIS
                        FOR PROPOSED 13.1 METER KU-BAND
                    TRANSMIT/RECEIVE SATELLITE EARTH STATION




                                   Prepared for:
                              Skyport International, Inc.




                                    Prepared by:
                            X-Analog Communications, Inc.
                            1835 Algoa Friendswood Road
                                   Alvin, TX 77511


Radiation Hazard Analysis                                                           Skyport HUB
                                                                            Exhibit A Page 2 of 12


I. INTRODUCTION

Because of the highly directional nature of parabolic antenna systems, the possibility of
significant human exposure to RF radiation is unlikely if precautions are taken to prevent
incidental human access to those few areas where the existing power densities are in excess
                                           1
of those recommended for human exposure.

The predicted RF power density levels that can be generated by the proposed Ku-band
satellite earth station are calculated below. The calculations show that there will be a region
in the vicinity of the antenna that can experience substantial power density levels (the area
between the feed and the reflector of the antenna). However, operational procedures will be
rigidly enforced to ensure that personnel are never exposed to radiation levels above the
ANSI recommended value of 5.00 mW/cm2 for occupational/controlled exposure, and
               2
1.00 mW/cm for general population/uncontrolled exposure, even during periods of peak
power output.

Specific parameters used in the following RF radiation analyses for the proposed Ku-band
satellite earth station are as follows:

       D      =     antenna diameter                         = 13.1 meters (42.97891667 feet)
        d     = diameter of subreflector                      = 1.333502667 meters (52.5 inches)
         f    =     frequency                                = 14500 MHz
        λ     =     wavelength                               = 0.020689655 meters
        π     =     Pi                                       = 3.1416
                                                 2
        A     =     physical aperture area (πD /4)           = 134.7821788 square meters
                                                        2
        a     =     physical area of subreflector (πd /4) = 1.396618076 square meters
       G      =     antenna transmit gain                    = 64.05 dBi
                                                             = 2540972.706
        P     =     maximum power into antenna feed          = 350.8310635 Watts
        η     =     antenna efficiency                       = 0.642190931 dBi
    EIRP      =     maximum EIRP from antenna                = 89.5009804 dBW




II. POWER DENSITY CALCULATIONS

A. NEAR-FIELD REGION

Within the near-field region of a parabolic reflector antenna, the maximum value of RF power


1
  “Evaluating Compliance with FCC-Specified Guidelines for Human Exposure to Radiofrequency
Electromagnetic Fields,” OST Bulletin No. 65, August 1997, Federal Communications Commission, Office
of Science and Technology, Washington, DC 20554.


Radiation Hazard Analysis                                                          Skyport HUB
                                                                           Exhibit A Page 3 of 12


                                                    2
density occurs on-axis, at a distance of ( 0.2 D ) / λ. For the proposed Ku-band satellite
earth station, this distance will be 1658.896667 meters (5442.563481 feet) from the antenna. For
conservatism in this analysis, however, it will be assumed that the maximum value of power
density will exist throughout the entire length of the near-field region Rn, where Rn is
determined as follows:

                       Rn = D2/(4λ) = 2073.620833 m (6803.204351 ft)

The maximum value of on-axis power density that will be possible within the near-field region
of the proposed Ku-band satellite earth station antenna can be calculated as follows:

                       PD (near-field) = (16 η P)/( π D2 ) = (4 η P) / A

                                       = 4 [(0.642190931) (350.8310635 W)] / (134.7821788 m2 )
                                                           2                          2
                                       = 6.686359557 W/m = 0.668635956 mW/cm


Conservative estimates of off-axis power density calculations in the near-field region can be
made assuming a point of interest at least one antenna diameter from the center of the main
beam. The resulting off-axis power density at any given distance from the antenna will be at
least a factor of 100 (20 dB) less than the on-axis power density value at the same distance
from the antenna. Therefore, for the proposed Ku-band satellite earth station, it may be
assumed that the off-axis power density will be at least 20 dB below the maximum level at a
radial distance of 13.1 meters (42.97891667 feet) from the center line axis of the antenna. At
distances within the near field the maximum off-axis power density will, therefore, be no
greater than:
                                              2                               2
                       ( 0.668635956 mW/cm ) / 100 = 0.00668636 mW/cm


B. TRANSITION REGION

The power density in the transition region between the near field and the far field of a
parabolic reflector antenna decreases inversely with distance from the antenna. For
purposes of evaluating RF radiation levels, it is assumed that the transition region will extend
from the end of the near field (2073.620833 meters or 6803.204351 feet) to the to the beginning
of the far-field, which is determined as follows:

                       Rf = (0.6 D2 ) / λ = 4976.69 m (16327.69044 ft)

The maximum power density levels in the transition region are again on-axis, and can be
conservatively estimated (upper-bounded) in the following manner:

                       PD (transition) = PD (near-field) x ( Rn / Rt )

                                       = ( 0.668635956 mW/cm2 ) x (2073.620833 m / Rt )
                                                                2
                                       < 0.668635956 mW/cm


Radiation Hazard Analysis                                                       Skyport HUB
                                                                        Exhibit A Page 4 of 12


where Rt is point of interest in meters, with 2073.620833 meters (6803.204351 feet) < Rt <
4976.69 meters (16327.69044 feet).

Conservative estimates of off-axis calculations in the transition region can be made in the
same fashion as for the near-field region, by again assuming a point of interest at least one
antenna diameter from the center of the main beam. The resulting off-axis power density at
any given distance from the antenna will be at least a factor of 100 (20 dB) less than the on-
axis power density value at the same distance from the antenna. Therefore, for the
proposed Ku-band satellite earth station, it may be assumed that the off-axis power density
will be at least 20 dB below the maximum level at a radial distance of 13.1 meters (42.97891667
feet) from the center line axis of the antenna. Within the transition region, the maximum off-
                                                                                   2
axis power density will be less than the maximum value of 0.00668636 mW/cm that was
determined above for the near-field region.


C. FAR-FIELD REGION

In the far-field region of a parabolic reflector antenna, the power is distributed in a pattern of
maxima and minima (sidelobes) as a function of the off-axis angle between the antenna
center line and the point of interest. For the proposed Ku-band satellite earth station, the
maximum possible value of on-axis power density in the far-field region can be determined
as follows:

                       PD (far-field) = [(P) (G)] / (4 π Rf2 )
                                                                                           2
                                       = [(350.8310635 W) (2540972.706)] / [4 π (4976.69 m) ]
                                                                 2
                                       = 0.286422412 mW/cm


Off-axis power densities in the far-field region are reduced by at least 30 dB at angles of one
degree or more from beam center). Therefore, for the proposed Ku-band satellite earth
station, the far-field off-axis power density will be less than:
                                                     2
                       PD = (0.286422412 mW/cm ) / 1,000
                                                     2
                            = 0.000286422 mW/cm



D. IMMEDIATE VICINITY OF THE ANTENNA

       1. BESIDE AND BEHIND ANTENNA

For areas beside and behind the antenna structure, the radiation level will be less than the
tapered illumination level of the reflector. For the proposed Ku-band satellite earth station,
this level will be as follows:

                       PD < the transmit power, P, divided by the area of the
                            antenna reflector, A, less 6 dB taper.


Radiation Hazard Analysis                                                      Skyport HUB
                                                                       Exhibit A Page 5 of 12



                                                              2
                       PD < (350.8310635 W) / (134.7821788 m ) - 6 dB
                                                     2
                            = 0.0650737113 mW/cm


This value will be applicable at the edge of the main reflector, so the power density levels
beside and behind the reflector will be even smaller.


       2. REFLECTOR SURFACE

For the proposed Ku-band satellite earth station, the maximum power density on the reflector
surface can be determined as follows:

                       PD = (4) (P) / (A)
                                                                  2
                            = (4) (350.8310635 W) / (134.7821788 m )
                                             2
                            = 10.4117938 W/m
                                                 2
                            = 1.04117938 mW/cm
                                                                  2
where "A" is the surface area of the reflector (134.7821788 m ) and the factor of 4 again
results from the 6 dB tapered illumination level.


Radiation Hazard Analysis                                                      Skyport HUB
                                                                       Exhibit A Page 6 of 12


       3. BETWEEN MAIN REFLECTOR AND SUB-REFLECTOR

For the proposed Ku-band satellite earth station, the maximum power density in this region is
determined as follows:

                  PD = (4) (P) / (a)
                                                              2
                      = (4) (350.8310635 W) / (1.396618076 m )
                                         2
                      = 1004.801727 W/m
                                             2
                      = 100.4801727 mW/cm

where “a” is the surface area of the sub-reflector ( 1.396618076 m2) and the factor of 4 results
from the 6 dB tapered illumination level.


       4. BETWEEN ANTENNA AND GROUND

For this area, the radiation level will be less than the tapered illumination level of the main
reflector, and can be calculated in a fashion identical to that used for areas beside and
behind the main reflector. As shown previously, this level will be bounded by:
                                                          2
                  PD = (350.8310635 W) / (134.7821788 m ) - 6 dB
                                                 2
                       = 0.065073711 mW/cm


Radiation Hazard Analysis                                                        Skyport HUB
                                                                         Exhibit A Page 7 of 12


III. SUMMARY OF CALCULATION RESULTS


                            Maximum Radiation Level
                                         2
Region                            (mW/cm )                       Hazard Assessment


Between main reflector               100.4801727                  Potential hazard.
and sub-reflector


Reflector surface                       1.04117938                Complies with guidelines


Between antenna and ground              0.065073711               Complies with guidelines


Beside and behind antenna               0.0650737113              Complies with guidelines


Near field, Rn < 2073.620833 m          0.668635956 (on-axis)     Complies with guidelines

                                      < 0.00668636 (off-axis)     Complies with guidelines.


Transition region, Rt                 < 0.668635956 (on-axis)     Complies with guidelines
(2073.620833 m < Rt < 4976.69 m)
                                      < 0.00668636 (off-axis)     Complies with guidelines.


Far field, Rf > 4976.69 m               0.286422412 (on-axis)     Complies with guidelines

                                      < 0.000286422 (off-axis)    Complies with guidelines.


Radiation Hazard Analysis                                                      Skyport HUB
                                                                       Exhibit A Page 8 of 12


IV. CONCLUSIONS

The above analyses show that, if the proposed Ku-band satellite earth station were to
operate at its highest possible value of peak power, power density levels in excess of the
ANSI recommended value of 5.0 mW/cm2 for occupational/controlled exposure could occur
in the following region:

       •   Between the feed and reflector surface (maximum power density of 100.4801727
           mW/cm2).


The preceding analyses also show that there are no areas where power density levels in
excess of the ANSI recommended value of 1.0 mW/cm2 for general population/uncontrolled
exposure could occur.


The proposed Ku-band satellite earth station consists of 13.1-meter antenna. The bottom
edge of the antenna reflector will be at least 6 feet from the ground, and in most cases will be
higher. This will minimize the possibility of personnel in the general vicinity of the antenna
being accidentally exposed to harmful levels of RF radiation. However, the following
measures will also be exercised to further guarantee that neither the general public nor
technical/operations personnel will ever be subjected to harmful levels of RF radiation,
should they temporarily be in the immediate vicinity of the antenna:

•   The antenna will be marked with standard radiation hazard warnings, advising
    personnel to stay away from the area in front of the reflector when the transmitter
    is operating.

•   The HPA will be turned off whenever maintenance or repair personnel are required
    to work on or in front of the antenna.


                                                        Exhibit A - Radiation Hazard Analysis
                                                                                 Page 9 of 12

                        RADIATION HAZARD ANALYSIS
                                     for
                PROPOSED 13.1-METER KU-BAND TRANSMIT/RECEIVE
                          SATELLITE EARTH STATION




          EQUIPMENT SPECIFICATIONS and PERFORMANCE PARAMETERS




Antenna diameter:                       D = 13.1          meters

                                        D = 43.0          feet

                                        D = 516           inches


Sub-reflector diameter:                 d = 52.5          inches

                                        d = 1.33          meters


Frequency (maximum):                     f = 14,500       MHz


Wavelength:                              λ = 0.0207       meters


Antenna transmit gain:                  G = 64.1          dBi

                                        G = 2,540,973     numeric


Antenna physical aperture area:         A = 134.78        sq. meters


Sub-reflector physical area:            a = 1.40          sq. meters


Antenna efficiency:                     η = 0.64          numeric


HPA maximum power output:             Pmax = 700          Watts

                                      Pmax = 28.5         dBW


                                                         Exhibit A - Radiation Hazard Analysis
                                                                                 Page 10 of 12

                       RADIATION HAZARD ANALYSIS
                                    for
               PROPOSED 13.1-METER KU-BAND TRANSMIT/RECEIVE
                         SATELLITE EARTH STATION




     EQUIPMENT SPECIFICATIONS and PERFORMANCE PARAMETERS, cont'd


Transmit system losses:                Lt = -3.0           dB

                                       Lt = 0.50           numeric



Maximum RF power into                  P = 351             Watts
 antenna feed:
                                       P = 25.5            dBW




Maximum EIRP from antenna:          EIRP = 89.5            dBW

                                    EIRP = 891,452,157     Watts


                                                         Exhibit A - Radiation Hazard Analysis
                                                                                 Page 11 of 12

                         RADIATION HAZARD ANALYSIS
                                      for
                 PROPOSED 13.1-METER KU-BAND TRANSMIT/RECEIVE
                           SATELLITE EARTH STATION




                             COMPUTATIONAL RESULTS




Distance to beginning                      Rf = 4,977      meters
of the far field:
                                          Rf = 16,328      feet



Maximum on-axis power                      S = 2.86        Watts/sq. meter
density in the far field:
                                           S = 0.29        mW/sq. cm


Off-axis power density                     S < 0.0029      Watts/sq. meter
in the far field:
                                           S < 0.00029     mW/sq. cm


Extent of the near field:                Rn = 2074         meters

                                          Rn = 6,803       feet


Maximum on-axis power                      S = 6.7         Watts/sq. meter
density in the near field:
                                           S = 0.67        mW/sq. cm


Distance to maximum                0.2(D*2)/L = 1659       meters
on-axis power density
in the near field:                 0.2(D*2)/L = 5,443      feet


Off-axis power density                     S < 0.067       Watts/sq. meter
in the near field:
                                           S < 0.0067      mW/sq. cm


                                                            Exhibit A - Radiation Hazard Analysis
                                                                                    Page 12 of 12

                         RADIATION HAZARD ANALYSIS
                                      for
                 PROPOSED 13.1-METER KU-BAND TRANSMIT/RECEIVE
                           SATELLITE EARTH STATION




                            COMPUTATIONAL RESULTS, cont'd




Maximum on-axis power                       S < 6.7           Watts/sq. meter
density in the transition
region between the near                     S < 0.67          mW/sq. cm
field and the far field:




Off-axis power density                      S < 0.067         Watts/sq. meter
in the transition region
between the near field                      S < 0.0067        mW/sq. cm
and the far field:




Between main reflector                      S = 1,004.8       Watts/sq. meter
and sub-reflector:
                                            S = 100.5         mW/sq. cm




On reflector surface:                       S = 10.4          Watts/sq. meter

                                            S = 1.04          mW/sq. cm


Between antenna and ground:                 S < 0.65          Watts/sq. meter

                                            S < 0.065         mW/sq. cm


Beside and behind antenna:                  S < 0.65          Watts/sq. meter

                                            S < 0.065         mW/sq. cm



Document Created: 2005-02-28 11:47:42
Document Modified: 2005-02-28 11:47:42

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