Attachment Attachment B

This document pretains to SES-LIC-20171017-01179 for License on a Satellite Earth Station filing.

IBFS_SESLIC2017101701179_1292695

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Radiation Hazard Report:


         Analysis of Non-Ionizing Radiation for a 4 X 42 Element Yagi
                     Antenna Array Earth Station System


This report analyzes the non-ionizing radiation levels for a 4 Yagi-Uda antenna 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, 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                               (MHz)*(0.8/1200) = 0.268
              1500 – 100,000                                       1.0


Table 2: Limits for Occupational/Controlled Exposure (MPE)

          Frequency Range (MHz):                         Power Denstiy (mW/cm2):
                 30 – 300                                           1.0
                300 - 1500                                (MHz)*(4.0/1200) = 1.34
              1500 – 100,000                                        5.0


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Table 3: Formulas and Parameters Used for Determining Power Flux Densities

  Parameter:        Symbol:        Formula:                  Value:              Units:
Effective Aperture    Ae       Ae = (λ2 G)/(4π)              11.06                m2
Aperture Diameter      D        D = 2 (Ae/π)1/2               5.38                m
Frequency              f          Input Value                402.6               MHz
Wavelength             λ            λ = 300/f                0.744                m
Transmit Power         P          Input Value                  50                watts
Gain (logarithmic)     G     G = 18.7 + 6.0 – La *            24.0                dBi
Gain (linear)          G          Gl = 10(G/10)              251.2               none
Pi                     π            Constant                3.14159              none
Aperture Efficiency    η    η = [G λ2)/4π]/ [πD2]/4]         0.490               none
                              **

Notes:
* Gain of 4 yagis in 2 over 2 configuration given the individual gain of each yagi is 18.7
dBi and the feed losses are 0.7 dB.

** Equation (14), OET Bulletin 65, Version 97-01

1. Far Field Distance and PFD Calculations:

The distance to the beginning of the far field from the center of the antennas can be
given by:

                                     Rff = 0.60 D2/λ
                              Rff =( 0.60) (5.38)2 / 0.744
                                      Rff = 23.30 m

The maximum on-axis power flux density in the main beam at the far field boundary can
be determined to be:

                                    Sff = PG/ 4πRff2
                       Sff = (50)*(251.2)/(4)(3.14159)(23.3)2
                       Sff = 1.841 watts/m2 = 0.18 mW/cm2


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2. Near Field Distance and PFD Calculations:

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 surface area 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 as follows:

                                       Rnf = D2/4λ
                            Rnf = (5.38)2/4(0.744) = 9.73 m

The maximum power flux density of the Near Field can be determined from the
following:

                                       Snf = 4 η P/Ae
                               Snf = 4 (.490) (50)/ (11.06)
                           Snf = 8.86 W/m2 = 0.886 mW/cm


3. Transition Region PFD Calculation:

The transition region will then be the region extending from Rnf, calculated from
Equation (12)1, to Rff, calculated from Equation (16)2. If the location of interest falls
within this transition region, the on-axis power density can be determined from the
following equation:

                                      St = (Snf*Rnf) /R

Where R = Distance of interest from center of antenna, beyond the end of the Near
Field. As an example, at a distance of 6.43 meters from the center of the antenna in the
transition region the PFD would be approximately:

                            S6.43m = [(0.886)( 9.73)]/(6.43)
                                 S6.43m = 1.34 mW/cm2

1   OET Bulletin 65, Version 97-01, Equation (12)
2   Ibid, Equation (16)


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4. PFD at Ground Level
The distance from the center of the antenna to the ground is approximately 9.1 m.
However, the antenna is located in the middle of a flat surface roof on an industrial
building. Then antenna center is approximately 4.8 meters above roof height and the
roof surface is approximately 4.3 meters above ground surface. Given the antenna’s
position the closest line-of-sight distance from the center of the antenna to the ground
surface is approximately 17 meters.

As our system uses a Yagi antenna array, an uniform surface illumination criteria (as is
often used for parabolic surfaces) is not applicable. We have estimated that the
transition region equation is more applicable for a Yagi and somewhat worst case for
this situation. Applying the relationship as per Section 3, above:

                                    Sg ≈ St ≈ (Snf * Rnf)/R
                                 Sg ≈ (0.886)(9.73)]/(17.0)
                                     Sg ≈ 0.51 mW/cm2

5. Summary of PFD Calculations:

The following summarizes the uncontrolled and controlled PFD levels exhibited by the
Astro Digital’s UHF Antenna System.

Table 4: Summary of Expected Radiation Levels for Uncontrolled Environment

    Region:           Symbol:            Range:           PFD:                Hazard
                                        (meters)        (mW/cm2)          Assessment:
Far Field:               Sff            Rff ≥ 23.3         0.18         Satisfies FCC MPE
Near Field:              Snf            Rnf ≤ 9.7          0.89         Potential Hazard
Transition               St           Rnf < Rt < R ff 1.34 @ Rt=6.43    Potential Hazard
Ground:                Sg = St        Rg = Rt = 13.0       0.51         Potential Hazard

Table 5: Summary of Expected Radiation Levels for Controlled Environment

    Region:           Symbol:            Range:           PFD:                Hazard
                                        (meters)        (mW/cm2)          Assessment:
Far Field:               Sff            Rff ≥ 23.3         0.18         Satisfies FCC MPE
Near Field:              Snf            Rnf ≤ 9.7          0.89         Satisfies FCC MPE
Transition               St           Rnf < Rt < R ff 1.34 @ Rt=6.43    Satisfies FCC MPE
Ground:                Sg = St        Rg = Rt = 13.0       0.51         Satisfies FCC MPE


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The applicant takes the responsibility to ensure that the public and operational
personnel are not exposed to harmful levels of radiation.

6. Conclusions

Based upon the above analysis, it is concluded that FCC RF Guidelines have been
exceeded in the Near Field and a portion of the Transition Zone of the Uncontrolled
(Table 4) environment. In the Controlled Environments (Table 5) none of the regions
have levels that exceed the FCC RF Guidelines. The applicant will comply with the
Maximum Permissible Exposure (MPE) limits of 0.268 mW/cm2 for the Uncontrolled
Areas, and the MPE limits of 1.34 mW/cm2 for the Controlled Areas.

The earth station Yagi antenna will be mounted on a platform on the roof of the Astro
Digital facility, well away from specific work and traffic areas. Thus, the applicant agrees
that the antenna will be in an area secured from the public and worker personnel not
familiar with the earth station system. Knowledgeable earth station personnel must
accompany non-assigned worker personnel and the general public when they enter the
earth station secured area.

The earth station’s secured area will be marked with the required radiation hazard signs
as described in the recent FCC R&0 13-39. The area in the vicinity of the earth station
secured area will also have signs to inform those in the general population and those
who may be working in the area or otherwise present that they are close to a RF System
capable of producing hazardous levels.

The applicant agrees to abide by the conditions specified in Condition 5208 provided
below:

Condition 5208 - The licensee shall take all necessary measures to ensure that the
antenna does not create potential exposure of humans to radio frequency radiation
in excess of the FCC exposure limits defined in 47 CFR 1.1307(b) and 1.1310
wherever such exposures might occur. Measures must be taken to ensure
compliance with limits for both occupational/controlled exposure and for general
population/uncontrolled exposure, as defined in these rule sections. Compliance
can be accomplished in most cases by appropriate restrictions such as fencing.
Requirements for restrictions can be determined by predictions based on
calculations, modeling or by field measurements. The FCC's OET Bulletin 65
(available on-line at www.fcc.gov/oet/rfsafety) provides information on predicting
exposure levels and on methods for ensuring compliance, including the use of
warning and alerting signs and protective equipment for worker.



Document Created: 0830-04-08 00:00:00
Document Modified: 0830-04-08 00:00:00

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