Attachment Radiation Report

This document pretains to SES-AMD-20120619-00552 for Amended Filing on a Satellite Earth Station filing.

IBFS_SESAMD2012061900552_956120

                                                                                                             Exhibit A
  Radiation Hazard Report                                                                               Page 1 of 5


   Analysis of Non‐Ionizing Radiation for a 8.1‐ Meter Earth Station System
This report analyzes the non‐ionizing radiation levels for a 8.1‐meter earth station system. The analysis and
calculations performed in this report comply with the methods described in the FCC Office of Engineering and
Technology Bulletin, No. 65 first published in 1985 and revised in 1997 in Edition 97‐01. The radiation safety
limits used in the analysis are in conformance with the FCC R&O 96‐326. Bulletin No. 65 and the FCC R&O
specifies that there are two separate tiers of exposure limits that are dependent on the situation in which the
exposure takes place and/or the status of the individuals who are subject to the exposure. The Maximum
Permissible Exposure (MPE) limits for persons in a General Population/Uncontrolled environment are shown in
Table 1. The General Population/Uncontrolled MPE is a function of transmit frequency and is for an exposure
period of thirty minutes or less. The MPE limits for persons in an Occupational/Controlled environment are
shown in Table 2. The Occupational MPE is a function of transmit frequency and is for an exposure period of six
minutes or less. The purpose of the analysis described in this report is to determine the power flux density levels
of the earth station in the far‐field, near‐field, transition region, between the subreflector or feed and main
reflector surface, at the main reflector surface, and between the antenna edge and the ground and to compare
these levels to the specified MPEs.

                      Table 1. Limits for General Population/Uncontrolled Exposure (MPE)
                       Frequency Range (MHz)                Power Density (mW/cm2)
                               30‐300                                  0.2
                              300‐1500                     Frequency (MHz)*(0.8/1200)
                            1500‐100,000                               1.0

                           Table 2. Limits for Occupational/Controlled Exposure (MPE)
                       Frequency Range (MHz)                Power Density (mW/cm2)
                               30‐300                                  1.0
                              300‐1500                     Frequency (MHz)*(4.0/1200)
                            1500‐100,000                               5.0

                 Table 3. Formulas and Parameters Used for Determining Power Flux Densities
     Parameter                         Symbol              Formula                   Value           Units
     Antenna Diameter                     D                  Input                    8.1            m
     Antenna Surface Area               Asurface            π D2 / 4                 51.53           m2
     Subreflector Diameter               Dsr                 Input                    105            cm
     Area of Subreflector                 Asr              π Dsr 2/4               8659.01           cm2
     Frequency                             F                 Input                  14250            MHz
     Wavelength                           λ                 300 / F                0.021053          m
     Transmit Power                       P                  Input                  100.00           W
     Antenna Gain (dBi)                  Ges                 Input                    59.7           dBi
     Antenna Gain (factor)                G                 10Ges/10              933254.30          n/a
     Pi                                   π                Constant               3.1415927          n/a
     Antenna Efficiency                   η               Gλ2/(π2D2)                  0.64           n/a


                                                                                                         Exhibit A
  Radiation Hazard Report                                                                              Page 2 of 5

Far Field Distance Calculation

The distance to the beginning of the far field can be determined from the following equation:

    Distance to the Far Field Region                            Rff = 0.60 D2 / λ                      (1)
                                                                    = 1869.9 m

The maximum main beam power density in the far field can be determined from the following equation:

    On‐Axis Power Density in the Far Field                      Sff = G P / (4 π Rff 2)                (2)
                                                                    = 2.124 W/m2
                                                                    = 0.212 mW/cm2

Near Field Calculation

Power flux density is considered to be at a maximum value throughout the entire length of the defined Near
Field region. The region is contained within a cylindrical volume having the same diameter as the antenna. Past
the boundary of the Near Field region, the power density from the antenna decreases linearly with respect to
increasing distance.

The distance to the end of the Near Field can be determined from the following equation:

    Extent of the Near Field                                    Rnf = D2 / (4 λ)                       (3)
                                                                    = 779.1 m

The maximum power density in the Near Field can be determined from the following equation:

    Near Field Power Density                                    Snf = 16.0 η P / (π D2)                (4)
                                                                    = 4.958 W/m2
                                                                    = 0.496 mW/cm2

Transition Region Calculation

The Transition region is located between the Near and Far Field regions. The power density begins to decrease
linearly with increasing distance in the Transition region. While the power density decreases inversely with
distance in the Transition region, the power density decreases inversely with the square of the distance in the
Far Field region. The maximum power density in the Transition region will not exceed that calculated for the
Near Field region. The power density calculated in Section 1 is the highest power density the antenna can
produce in any of the regions away from the antenna. The power density at a distance Rt can be determined
from the following equation:

    Transition Region Power Density                             St = Snf Rnf / Rt                      (5)
                                                                   = 0.496 mW/cm2


                                                                                                       Exhibit A
 Radiation Hazard Report                                                                             Page 3 of 5

Region between the Main Reflector and the Subreflector

Transmissions from the feed assembly are directed toward the subreflector surface, and are reflected back
toward the main reflector. The most common feed assemblies are waveguide flanges, horns or subreflectors.
The energy between the subreflector and the reflector surfaces can be calculated by determining the power
density at the subreflector surface. This can be determined from the following equation:

   Power Density at the Subreflector                           Ssr = 4000 P / Asr                    (6)
                                                                   = 46.195 mW/cm2


Main Reflector Region

The power density in the main reflector is determined in the same manner as the power density at the
subreflector. The area is now the area of the main reflector aperture and can be determined from the following
equation:

   Power Density at the Main Reflector Surface             Ssurface = 4 P / Asurface                 (7)
                                                                    = 7.762 W/m2
                                                                    = .776 mW/cm2


Region between the Main Reflector and the Ground

Assuming uniform illumination of the reflector surface, the power density between the antenna and the ground
can be determined from the following equation:

   Power Density between Reflector and Ground                  Sg = P / Asurface                     (8)
                                                                  = 1.941 W/m2
                                                                  = 0.194 mW/cm2


                                                                                             Exhibit A
 Radiation Hazard Report                                                                   Page 4 of 5




7.     Summary of Calculations

              Table 4. Summary of Expected Radiation levels for Uncontrolled Environment

                                                  Calculated Maximum Radiation          Hazard
Region                                            Power Density Level (mW/cm2)        Assessment
1. Far Field (Rff = 164.2 m)                          Sff              0.212       Satisfies FCC MPE
2. Near Field (Rnf = 68.4 m)                          Snf              0.496       Satisfies FCC MPE
3. Transition Region (Rnf < Rt < Rff)                 St               0.496       Satisfies FCC MPE
4. Between Feed Assembly and Antenna
                                                      Sfa             46.195        Potential Hazard
Reflector
5. Main Reflector                                   Ssurface           0.776       Satisfies FCC MPE
6. Between Reflector and Ground                       Sg               0.194       Satisfies FCC MPE



                Table 5. Summary of Expected Radiation levels for Controlled Environment
                                                        Calculated Maximum
                           Region                      Radiation Power Density    Hazard Assessment
                                                           Level (mW/cm2)

1. Far Field (Rff = 164.2 m)                            Sff        0.212           Satisfies FCC MPE
2. Near Field (Rnf = 68.4 m)                           Snf         0.496           Satisfies FCC MPE
3. Transition Region (Rnf < Rt < Rff)                   St         0.496           Satisfies FCC MPE
4. Between Feed Assembly and Antenna Reflector          Sfa        46.195          Potential Hazard
5. Main Reflector                                    Ssurface      0.776           Satisfies FCC MPE
6. Between Reflector and Ground                         Sg         0.194           Satisfies FCC MPE


                                                                                                            Exhibit A
  Radiation Hazard Report                                                                                Page 5 of 5

8. Conclusions


VSAT‐Systems, LLC. proposes to comply with the Maximum Permissible Exposure (MPE) limits of 1.0 mW/cm2 for
the Uncontrolled Areas, and the MPE limits of 5.0 mW/cm2 for the Controlled Areas as explained below.

The antenna will be installed at the Applicant’s facility near Akron, Ohio. The earth station facility is surrounded
by a fence, which will restrict any public access. The earth station will be marked with the standard radiation
hazard warnings, as well as the area in the vicinity of the earth station to inform those in the general population,
who might be working or otherwise present in or near the direct path of the main beam.

The applicant will ensure that the main beam of the antenna will be pointed at least one diameter away from
any building, or other obstacles in those areas that exceed the MPE levels. Since one diameter removed from
the center of the main beam the levels are down at least 20 dB, or by a factor of 100, these potential hazards do
not exist for either the public, or for earth station personnel.

Finally, the earth station’s operating personnel will not have access to areas that exceed the MPE levels, while
the earth station is in operation. The transmitter will be turned off during periods of maintenance, so that the
MPE standard of 5.0 mw/cm2 will be complied with for those regions in close proximity to the main reflector,
which could be occupied by operating personnel.



Document Created: 2012-06-18 15:54:55
Document Modified: 2012-06-18 15:54:55

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