Attachment Radiation_study[1].p

This document pretains to SES-LIC-20050629-00841 for License on a Satellite Earth Station filing.

IBFS_SESLIC2005062900841_436120

   Created by Nikolay Yumatov                  1
Confidential                                  Page              5/10/2005


                            Radiation Hazard Study
Evaluating Exposure to RF Emissions (FCC OET 65)
Antenna : Prodelin RX/TX Linear Ku 1383 series
Diameter= 3.8 m
Gain Tx: 53.2 dBi
Antenna Feed Flange Power P
P ≡ 10.18 w
D := 3.8 m
Area of 3.8 Antenna A=
                2
A := π 
         D
        2
A = 11.341 m 2

The maximum power density directly in front of an antenna :
            4P
Ssurface :=
            A
Ssurface = 3.59 W /m2 = 0.359 mW/cm2
The maximum power density allowed 5mW/cm2 in controlled area.
 Surface = the maximum power at the antenna surface (W/m2)
P = power fed to the antenna ( W)
A = physical area of the aperture Antenna(sq.m)
D= Diameter of the Antenna (m)
η= aperture efficiency

G = power gain in the direction of interest
dB = Gain of the Antenna from the spec sheet(dB)
λ = wavelength
F= transmit frequency (GHz)
F ≡ 14
dB ≡ 53.2
          dB
          10
G := 10

λ :=
     ( 2.99792458 ⋅10 )
                     8

                        9
                F ⋅10
                    5
G = 2.089 × 10
        ( G⋅λ2)
           4π
η :=
        π ⋅D2 
       
        4 
η = 0.672
Near -field , on -axis power density Snf =:
       16η ⋅P
Snf :=
           2
        πD
Snf = 2.414 W/m2=0.2414 mW/cm2




                                                                       1


   Created by Nikolay Yumatov                           2
Confidential                                           Page                                              5/10/2005

Extend of near-field region (m) Rnf:
           2
         D
Rnf :=
       4λ
Rnf = 168.583 m
 Maximum Power Density with 168 m distance to the antenna=2.414W/m2=0.2414mW/cm2
The distance to the beginning of the far-field region Rff (m):
               2
         0.6 ⋅D
Rff :=
           λ
Rff = 404.6 m
The power density in the far-field region Sff (W/m2):
Where : R distance to the
point of interest.
R := 500m
        P ⋅G
Sff :=
             2
       4π R
Sff = 0.677 w /m2 =0.0677 mW/cm2

The maximum allowable gain for the Antenna from the spec. sheet
θ := 1 .. 48
Where θ : the angle in degrees from the axis of the main lobe
Gfcc : allowable gain in dBi relative to an isotropic radiator
Gfcc( θ ) := 29 − 25 ⋅log( θ )
Gfcc1( θ ) := 32 − 25 ⋅log( θ )
Gmh( θ ) := if( 1 ≤ θ ≤ 7 , Gfcc( θ ) , if( 7 < θ ≤ 9.2 , 8 , if( 9.2 < θ ≤ 48 , Gfcc1( θ ) , −10) ) )




                                                                                                                2


   Created by Nikolay Yumatov                          3
Confidential                                          Page                                     5/10/2005



              30
            28.2
            26.4
            24.6
            22.8
              21
            19.2
            17.4
            15.6
            13.8
              12
            10.2
             8.4
  Gmh ( θ )
             6.6
             4.8
               3
             1.2
             0.6
             2.4
             4.2
               6
             7.8
             9.6
            11.4
            13.2
              15
                   0 2   4   6    8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50
                                                           θ
                                 The maximum allowable gain for the Antenna


Define the Power density in the point of interest A see drawing 1
For the angel θ = 9 deg according to the table
Distance to the Antenna (See drawing 1) R= R := 3m
dB := 8
        dB
        10
G := 10
G = 6.31
        P ⋅G
Sff :=
            2
       4π R
Sff = 0.568 W /m2 = 0.0568 mW/cm2
The maximum power density allowed 1mW/cm2 in uncontrolled public area.

The power density in the point of interest B

For the angel θ = 40 deg according to the table
        dB
        10
G := 10
dB := −7.8




                                                                                                      3


   Created by Nikolay Yumatov                 4
Confidential                                 Page                        5/10/2005

Distance to the Antenna ( see drawing 1) R := 2
      dB
      10
G := 10
G = 0.166
        P ⋅G
Sff :=
            2
       4π R
Sff = 0.034
w /m2 = 0.0034 mW/cm2
The maximum power density allowed 1mW/cm2 in uncontrolled public area.
The power density in the point of interest C
dB := −10
For the angel θ = 45 deg according to the table
Distance to the Antenna R= R := 2
      dB
      10
G := 10
        P ⋅G
Sff :=
            2
       4π R
Sff = 0.02 w /m2 = 0.002 mW/m2
The maximum power density allowed 1mW/cm2 in uncontrolled public area.




                                                                                4


   Created by Nikolay Yumatov                                                 5
Confidential                                                                 Page                                                                          5/10/2005




                     Fa
                        r   F ie
                                   ld Z
                                       one

                                             Tr a
                                                    ns
                                                         it io
                                                                 nZ
                                                                    on
                                                                         e                                                                Antenna Surface

                                                                                Ne
                                                                                     ar
                                                                                          fie
                                                                                              ld
                                                                                                    (F r
                                                                                                        e   sn
                                                                                                                 el )
                                                                                                                        Zo
                                                                                                                                ne
         45.05 deg
                                                                                                                                                           N
                                                                                                                           C




                                                                                                                        2.0
                                                                                                                            m
                                                                                                                                         Controlled Area




                                                                                     9 deg

                                                                                              2.2m

                                                                                             3.0 m                          2.0m
                                                                                                       A                             B




                                                                                                            Evaluation Exposure of RF emission                    DRAWN BY :
                                                                                                            for The Transmitton Antenna
                                                                                                               of Sacramento Church
                                                                                                                                                               Nikolay Yumatov


                                                                                             REV.                                             SHT 1 OF 1
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Document Created: 2005-06-10 19:57:23
Document Modified: 2005-06-10 19:57:23

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