Attachment Rad Haz Seatel 60cm

This document pretains to SES-LIC-20100628-00842 for License on a Satellite Earth Station filing.

IBFS_SESLIC2010062800842_825765

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                               Radiation Hazard Study
The study in this section analyzes the potential RF human exposure levels caused by the
Electro Magnetic (EM) fields of a Seatel 60cm antenna operating with a maximum power
at the flange of 5 Watts. The mathematical analysis performed below complies with the
methods described in the FCC Office of Engineering and Technology (OET) Bulletin No.
65 (1985 rev. 1997) R&O 96-326.1

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 1.5 GHz 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 following input parameters were used in the calculations:

Parameter                  Value               Unit            Symbol
Antenna Diameter            0.60               m               D
Antenna Transmit Gain       36.85              dBi             G
Transmit Frequency         14250               MHz             f
Antenna Feed Flange Diam. 7.2                  cm              d
Power Input to the Antenna 5.0                 Watts           P

1
 Evaluating Compliance with FCC Guideliness for Human Exposure to Radiofrequency Electromagnetic
Fields, OET Bulletin 65 (Edition 97-01), Supplement B, FCC Office of Engineering & Technology,
November 1997.


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Calculated Parameters
The following values were calculated using the above input parameters and the
corresponding formula:

Parameter                           Value                     Unit                    Symbol          Formula
Antenna Surface Area                0.28                      m2                      A               πD2/4
Area of Antenna Flange              40.72                     cm2                     a               πd2/4
Antenna Efficiency                  0.60                                              η               Gλ2/( π2D2)
Gain Factor                         4841.7                                            g               10G/10
Wavelength                          0.0211                    m                       λ               300/ f


Behavior of EM Fields as a Function of Distance
The behavior of the characteristics of EM fields varies depending on the distance from
the radiating antenna. These characteristics are analyzed in three primary regions: the
near-field region, the far-field region and the transition region. Of interest also are the
region between the antenna main reflector and the subreflector, the region of the main
reflector area and the region between the main reflector and ground.


                                                                                      ld
                                                                           r-   Fie
                                                                        Fa

                                                       tion
                                                 r ansi n
                                                                                           D


                                               T      gio
                                                   Re
    Region of
                                   ld
   Main Reflector              Fie
                          e ar
                         N




    Region between
     Main Reflector
     & Subreflector
                                        Region between Main
                                         Reflector & Ground


Figure 1. EF Fields as a Function of Distance



For parabolic aperture antennas with circular cross sections, such as the antenna under
study, the near-field, far-field and transition region distances are calculated as follows:

        Near-Field Distance                                   Rnf = D2/(4λ)                    = 4.275 m
        Distance to Far-Field                                 Rff = 0.60D2/(λ)                 = 10.260 m


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        Distance of Transition Region            Rt = Rnf                = 4.275 m

The distance in the transition region is between the near and far fields. Thus, Rnf ≤ Rt ≤
Rff . However, the power density in the transition region will not exceed the power density in the
near-field. Therefore, for purposes of the present analysis, the distance of the transition region
can equate the distance to the near-field.


Power Flux Density Calculations
The power flux density is considered to be at a maximum through the entire length of the
near-field. This region is contained within a cylindrical volume with a diameter, D, equal
to the diameter of the antenna. In the transition region and the far-field, the power
density decreases inversely with the square of the distance. The following equations are
used to calculate power density in these regions.

Power Density in the Near-Field        Snf      = 16.0 η P/(πD2)         = 4.272 mW/cm2
Power Density in the Far-Field         Sff      = GP/(4π Rff2)           = 1.830 mW/cm2
Power Density in the Transition Region St       = Snf Rnf /(Rt)          = 4.272 mW/cm2


The region between the main reflector and the subreflector is confined to within a conical
shape defined by the feed assembly. The most common feed assemblies are waveguide
flanges. This energy is determined as follows:

Power Density at the Feed Flange        Sfa     = 4P / a                 = 491.219 mW/cm2


The power density in the main reflector is determined similarly to the power density at the feed
flange; except that the area of the reflector is used.

Power Density at Main Reflector         Ssurface = 4P / A                = 7.074 mW/cm2


The power density between the reflector and ground, assuming uniform illumination of
the reflector surface, is calculated as follows:

Power Density b/w Reflector and Gnd     Sg      =P/A                     = 1.768 mW/cm2


Summary of Calculations
Table 1 summarizes the calculated power flux density values for each region. In a
controlled environment, the only region that exceeds FCC limitations are the regions
between the main reflector and the sub-reflector and the main reflector region. These
regions are only accessible by trained technicians who, as a matter of procedure, turn off


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transmit power before performing any work in this area. Furthermore, the antenna is
enclosed in a radome that remains locked during normal operations.

                                                        Controlled Environment
Power Densities                       (mW/cm2)               (5 mW/cm2)
Far Field Calculation                   1.830          Satisfies FCC Requirements
Near Field Calculation                  4.272          Satisfies FCC Requirements
Transition Region                       4.272          Satisfies FCC Requirements
Region b/w Main & Subreflector         491.219             Exceeds Limitations
Main Reflector Region                   7.074              Exceeds Limitations
Region b/w Main Reflector & Ground      1.768          Satisfies FCC Requirements
Table 1. Power Flux Density for Each Region

In conclusion, the results show that the antenna, in a controlled environment, and under
the proper mitigation procedures, meets the guidelines specified in § 1.1310 of the
Regulations.



Document Created: 2010-06-23 16:07:37
Document Modified: 2010-06-23 16:07:37

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