Attachment Radiation Report

This document pretains to SES-STA-20120515-00442 for Special Temporal Authority on a Satellite Earth Station filing.

IBFS_SESSTA2012051500442_950857

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                                                                                                                                                               Radiation Hazard Report

                                                                                                          Gigasat FA-240 C-Band Antenna System



The purpose of this report is to examine the potential human exposure to
radio frequencies (RF) emitted in the form of electro magnetic (EM) radiation
from an Gigasat 2.4m C-Band satellite antenna. The mathematical analysis
performed below complies with the methods described in the Federal
Communications Commission Office of Engineering and Technology Bulletin
No. 65 (1985 rev. 1997) R&O 96-326.

Maximum Permissible Exposure

There are two separate levels of exposure limits. The first applies to persons
in the general population who are in an uncontrolled environment. The second
applies to trained personnel in a controlled environment.

According to 47 C.F.R. § 1.1310, the Maximum Permissible Exposure (MPE)
limits for frequencies above 1.5GHz are as follows:

• General Population / Uncontrolled Exposure 1.0 mW/cm2
• Occupational / Controlled Exposure 5.0 mW/cm2

The purpose of this study is to determine the power flux density levels for the
earth station under study as compared with the MPE limits. This comparison
is done in each of the following regions:

1. Far-field region
2. Near-field region
3. Transition region
4. The region between the feed and the antenna surface
5. The main reflector region
6. The region between the antenna edge and the ground

Input Parameters

The values below are used in the calculations detailed in this report

Parameter                                                                                                                                                                                                                                                                                        Value                                                                          Unit      Symbol
Antenna Diameter                                                                                                                                                                                                                                                                                  2.4                                                                            m          D
Antenna Transmit Gain                                                                                                                                                                                                                                                                              42                                                                           dBi         G
Transmit Frequency                                                                                                                                                                                                                                                                               6200                                                                           MHz         ƒ
Feed Flange Diameter                                                                                                                                                                                                                                                                              10.1                                                                          cm          d
Power Input to Antenna                                                                                                                                                                                                                                                                            260                                                                            W          P


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Richard	
  Sergeant	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
                                                                                  	
  



Calculated Parameters

The following values are calculated from the input parameters from there
corresponding formulas.

(All values rounded to two decimal places)
Parameter                        Value                                                                                                                                                                                                                                                      Unit                                                           Symbol                             Formula
Antenna Surface Area              4.52                                                                                                                                                                                                                                                       m2                                                              A                                πD2/4
Feed Flange Surface Area         80.12                                                                                                                                                                                                                                                      cm2                                                              a                                πd2/4
Antenna Efficiency                0.71                                                                                                                                                                                                                                                                                                                       η                                Gλ2/(π2D2)
Gain Factor                     15848.93                                                                                                                                                                                                                                                                                                                     g                                10G/10
Wavelength                       0.048                                                                                                                                                                                                                                                              m                                                        λ                                300/∫


Regions of EM fields, Characteristics and there Behavior

EM radiation emitting from a parabolic antenna has different behavioral and
characteristics depending on the distance from the reflector surface. This
distance from the reflector can be catagorised in three regions, Near (Fresnal)
Field Region, Transitional Region and Far Field Region. Additional areas of
interest are also the area between the feed horn and the reflector, the area
between the supporting surface and the reflector, and the main reflector area.



Fig. 1 EM regions

                                                                                                                                                                                                                                                                                                         i eld	
  
                                                                                                                                                                                                                                                                                                  r	
  F
                                                                                                                                                                                                                                                                                                Fa
                                                                                                                                                                                                                                                                                                                                                                                      D	
  




                                                                                                                                                                                                                                                     	
  
                                                                                                                                                                                                                             ld
                                                                                                                                                                                                                    l	
  F ie
                                                                                                                                                                                                                  a
                                                                                                                                                                                                      on
                                                                                                                                                                                   iti
                                                                                                                                                                  a              ns
                                                                                                                                                                Tr


                                                                                          i eld	
  
                                                                                    	
  F
                                                                                 al)
                                                                      sn
                                                     re
                                               	
  (F
                          ar
                        Ne

                                                                                                                                                                                                                                                                                       Area	
  between	
  reflector	
  
                                                                                                                                                                                                                                                                                       and	
  feed	
  horn	
  




2	
                                                                                                                                                                            Area	
  between	
  reflector	
                                                                                                                                                                                       	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
                                                                                                                                                                               and	
  supporting	
  surface	
  


 Richard	
  Sergeant	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
                                                                                  	
  


 Parabolic antennas with circular reflectors, such as the dish under analysis in
 this report, have the Near, Transitional and Far Field distances calculated with
 the formulas below

 Parameter                                                                                                                                                                                                                   Value                                                                             Unit                                                                Formula
 Near Field Distance                                                                                                                                                                                                         30                                                                                m                                                                   Rnf=D2/(4λ)
 Distance to Transitional Field                                                                                                                                                                                              30                                                                                m                                                                   Rt=Rnf
 Distance to Far Field                                                                                                                                                                                                       72                                                                                m                                                                   Rff=0.60D2/λ

 The distance within the transition region is between the near and far fields.
 This allows for the following rule, Rnf ≤ Rt ≤ Rff. However, the power density in
 the transition region cannot exceed the power density in the near field.

 Power Flux Density Calculations

 Power flux density is the rate of transfer the EM moves through space. Flux
 density is at it strongest through the entire length of the near field and is
 concentrated through a cylinder proportional to the surface diameter of the
 reflector (D). Within the transitional and far field, the power density decreases
 at an opposite rate. Power density with in the three regions is calculated
 below.

Parameter                                                                                                                                                                                                            Value                                                    Unit                                                              Symbol                                     Formula
Power Density in the Near Field                                                                                                                                                                                      1.68                                                     mW/cm2                                                            Snf                                        16ηP/(πD2)
Power Density in the Trans. Field                                                                                                                                                                                    1.68                                                     mW/cm2                                                            St                                         GP/(4πRff2)
Power Density in the Far Field                                                                                                                                                                                       0.84                                                     mW/cm2                                                            Sff                                        SnfRnf/(Rt)

 The area between the feed horn and the reflector surface is confined within a
 conical shape, this is due to the aperture of the feed assembly. The Power
 density is defined below.

Parameter                                                                                                                                                                                                       Value   Unit   Symbol                                                                                                                                                      Formula
                                                                                                                                                                                                                             2
Power Density at Feed Flange                                                                                                                                                                                    1298.03 mW/cm Sfa                                                                                                                                                          4P/a

 The above formula also applies when working out the power density at the
 reflector surface.

Parameter                                                                                                                                                                                                   Value                                                             Unit   Symbol                                                                                                Formula
                                                                                                                                                                                                                                                                                   2
Power Density at the Reflector                                                                                                                                                                              2.30                                                              mW/cm Ssurface                                                                                               4P/A

 Assuming there is uniform spread across the reflector, the power density
 between the surface and reflector is shown below.

Parameter                                                                                                                                                                                                   Value                                                             Unit   Symbol                                                                                                Formula
                                                                                                                                                                                                                                                                                   2
Power Density Between the                                                                                                                                                                                   1.22                                                              mW/cm Sg                                                                                                     P/A
Surface and the Reflector




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Richard	
  Sergeant	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
                                                                        	
  



The table below shows the results of this report and if they meet the FCC
limitations for EM exposure. It can be seen that only the area between the
feed horn and the reflector exceeds the limitations set out by the FCC. This
area is only accessed by experienced engineers who are trained to cease the
transmission before accessing this area.

       Area of exposure                                                                                                                                                                                                   mW/cm2                                                              FCC Limitation (<5 mW/cm2)
Power Density in the Near Field                                                                                                                                                                                           1.68                                                                Within FCC Limitation
Power Density in the Trans. Field                                                                                                                                                                                         1.68                                                                Within FCC Limitation
Power Density in the Far Field                                                                                                                                                                                            0.84                                                                Within FCC Limitation
Power Density at Feed Flange                                                                                                                                                                                              1298.03                                                             Exceeds FCC Limitation
Power Density at the Reflector                                                                                                                                                                                            2.30                                                                Within FCC Limitation
Power Density Between the                                                                                                                                                                                                 1.22                                                                Within FCC Limitation
Surface and the Reflector

In conclusion to this report it can be seen that the antenna, with appropriate
controls, and operation by a trained engineer, meet the guidelines set out in
47 C.F.R. § 1.1310.




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Richard	
  Sergeant	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
                                                                        	
  


Additional Information

Fig. 2. Gigasat FA-240 C-Band Antenna




Fig. 3. Gigasat FA-240 off axis gain meets requirement for the following
standards

Intelsat IESS-601
Eutelsat EESS-502
STANAG 4484
MIL-STD 188-164A




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Document Created: 2010-04-28 00:00:00
Document Modified: 2010-04-28 00:00:00

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