Attachment Rad Haz report

This document pretains to SES-MOD-20110518-00597 for Modification on a Satellite Earth Station filing.

IBFS_SESMOD2011051800597_889403

                                       Radiation Hazard Study

1.0    Introduction

This study analyzes the radiation hazard environment produced by 2.4 meter Ku-band offset
antennas with a maximum of 3 Watts into the antenna feed. The antennas may be operated in
uncontrolled access areas. The reference document for this study is OET Bulletin No. 65,
Edition 97-01, Evaluating Compliance with FCC Guidelines for Human Exposure to
Radiofrequency Electromagnetic Fields, August 1997.


2.0    Earth Station Antenna Parameters


                          Antenna diameter (D) = 2.4 meters

                          Wavelength (λ) = 0.021 meters at 14.25 GHz

                          Maximum power to the antenna (P) = 3 Watts

                          2.4 meter antenna gain (G) = 49.2 dBi at 14.25 GHz

                          2.4 meter antenna efficiency (η) = 0.65


3.0    Region Definition

The limit of the near field (Rnf) and the beginning of the far field (Rff) are calculated as follows:
       Near Field Extent

               Rnf = D2
                     4λ

               Rnf = 2.42 /(4 * 0.021) = 68.5 m


       Far Field Extent

               Rff = 0.6 D2
                         λ

               Rff = (0.6)(2.42)/(0.021) = 164.3 m


The region between 68.5 m and 164.3 m is designated as the transition region.


4.0    Power Density Calculations

4.1    Near Field Region

The on-axis near field power density is calculated as follows:

               Snf = 16ηP
                     πD2

               Snf = (16)(0.65)(3)
                     (3.14)(2.42)

               Snf = 1.72 W/m2 = 0.172 mW/cm2


The maximum on-axis power density in the far field region is is Snf = 0.172 mW/cm2. This
meets the Uncontrolled Exposure limit of 1.0mW/cm2 found in Appendix A or OET Bulletin 65.
The off-axis power density in the near field will always be less than the on-axis power density
and therefore all volumes within the near field will meet the Uncontrolled Exposure limit of 1.0
mW/cm2.


4.2    Transition Region

The on-axis power density in the transition region is calculated as follows:

               St = SnfRnf
                      R

The maximum on-axis power density in the transition region is when R = Rnf at which point the
power density is St = Snf = 0.172 mW/cm2. This meets the Uncontrolled Exposure limit of
1.0mW/cm2 found in Appendix A or OET Bulletin 65. The off-axis power density in the
transition region will always be less than the on-axis power density and therefore all volumes
within the transition region will meet the Uncontrolled Exposure limit of 1.0 mW/cm2 found in
Appendix A of OET Bulletin 65.


4.3    Far Field Region

The on-axis power density in the far field region is calculated as follows:

               Sff = PG
                    4πR2

               Sff = (3)(10(49.2/10))
                     (4)(3.14)(164.3)2

               Sff = 0.737 W/m2 = 0.0737 mW/cm2

The maximum on-axis power density in the far field region is is Sff = 0.0737 mW/cm2. This
meets the Uncontrolled Exposure limit of 1.0mW/cm2 found in Appendix A of OET Bulletin 65.
The off-axis power density in the far field will always be less than the on-axis power density and
therefore all volumes within the far field will meet the Uncontrolled Exposure limit of 1.0
mW/cm2.

4.4    Region between the Feed Flange and Main Reflector

Transmissions from the feed horn are directed toward the reflector surface. The maximum
power density between the feed and reflector surface can be calculated as:


               Sfl = 4P/A = 16P/(πD2)

               Sfl = (16)(3)/(3.14 * 0.122)

               Sfl = 1061 W/m2 = 106.1 mW/cm2


This value exceeds the Uncontrolled Exposure limit of 1.0 mW/cm2 found in Appendix A of
OET Bulletin 65 and represents a potential hazard. Therefore, a warning label will be affixed to
the surface of the reflector to warn people to avoid the region between the antenna feed and the
surface of the reflector.


4.5    Reflector Surface Region

The power density at the surface of the reflector is approximated by:

               Sr = 4P/A = 16P/(πD2)

               Sr = (16)(3)/(3.14)(2.42)


                    Sr = 2.65 W/m2 = 0.265 mW/cm2

This value meets the Uncontrolled Exposure limit of 1.0 mW/cm2 found in Appendix A of OET
Bulletin 65.


4.5       Region Between Antenna and Ground

Assuming uniform illumination of the reflector surface, the power density between the antenna
and the ground can be calculated as follows:

                    Sg = P/A = 4P/(πD2)

                    Sg = (4)(3)/(3.14)(2.42) = 0.66 W/m2 = 0.066 mW/cm2

This value meets the Uncontrolled Exposure limit found in Appendix A of OET Bulletin 65.


5.0       Summary

Table 1. Summary of Expected Radiation Levels
                                              General
                                                                   Occupational/Controlled
                                      Population/Uncontrolled
                                                                         Exposure
                                             Exposure
                                                                  Maximum Radiation Level
                                     Maximum Radiation Level
                                                                       (5.0 mW/cm²)
                                          (1.0 mW/cm²)
                       Radiation
       Region            Level            Hazard Assessment          Hazard Assessment
                       (mW/cm2)
      Near Field
                         0.172            Satisfies FCC MPE           Satisfies FCC MPE
  Rnf = 68.5 m
      Far Field
                         0.0737           Satisfies FCC MPE           Satisfies FCC MPE
  Rff = 164.3 m
Transition Region
                         0.172            Satisfies FCC MPE           Satisfies FCC MPE
  Rnf < Rt < Rff
Region between
   Feed and              106.1             Potential Hazard               Potential Hazard
   Reflector
Reflector Surface        0.265            Satisfies FCC MPE           Satisfies FCC MPE
Region between
 Antenna and             0.066            Satisfies FCC MPE           Satisfies FCC MPE
   Ground


6.0    Conclusion

Using the methods outlined in OET Bulletin 65, the 2.4 m antennas meet the Uncontrolled and
Controlled Exposure limits in all regions except in the region between the antenna feed and the
reflector. A warning label will be affixed to the surface of the reflectors to warn people to avoid
the region between the antenna's flange and the surface of the reflector.



Document Created: 2011-05-16 11:49:50
Document Modified: 2011-05-16 11:49:50

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