Attachment RadHaz Study

This document pretains to SES-MOD-20140630-00551 for Modification on a Satellite Earth Station filing.

IBFS_SESMOD2014063000551_1052129

                                                                                            Exhibit
Radiation Hazard Report                                                                     Page 1 of 10



       Analysis of Non-Ionizing Radiation for a 2.7-Meter Yagi
                   Antenna Earth Station System
This report analyzes the non-ionizing radiation levels for a 2.7-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 dependant 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                     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
     Ant Largest Dimension               D                  Input                    2.7              m
     Ant Equiv Surface Area            Asurface        17 elements                   3.4#             m2
     Frequency                           F                  Input                    450              MHz
     Wavelength                          λ                 300 / F                  0.666             m
     Transmit Power                      P                  Input                    7.9              W
     Antenna Gain (dBi)                 Ges                 Input                   16.5              dBi
     Antenna Gain (factor)               G                 10Ges/10                44.668             n/a
     Pi                                  π                Constant               3.1415927            n/a
     Antenna Efficiency                  η              2
                                                     G*λ /(4*π)/ Asurface           0.463             n/a

# For a Yagi Antenna with 17 elements the surface area of each element is estimated to be 0.2 m2
 Total surface area is 3.4 m2


                                                                                   Exhibit
Radiation Hazard Report                                                            Page 2 of 10

1. 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)
                                                                = 6.6 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)
                                                                = 6.445 W/m2
                                                                = 0.06445 mW/cm2

2. 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
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 from the following equation:

   Extent of the Near Field                                 Rnf = D2 / (4 λ)                      (3)
                                                                = 2.73 m

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

   Near Field Power Density                                 Snf = 4* η* P / Asurface              (4)
                                                                = 4.30 W/m2
                                                                = 0.430 mW/cm2

3. 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 2 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                         Stz = Snf*Rnf / Rnf                       (5)
                                                            = 0.300 mW/m2


Rnf is calculated at a distance of 4 meters from the antenna.


                                                                            Exhibit
Radiation Hazard Report                                                     Page 3 of 10

4. Region between the Antenna and the Ground

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

   Power Density between Antenna and Ground             Sg = P / Asurface                  (6)
                                                           = 2.32 W/m2
                                                           = 0.232 mW/cm2


                                                                              Exhibit
Radiation Hazard Report                                                       Page 4 of 10

5. Summary of Calculations

           Table 4. Summary of Expected Radiation levels for Uncontrolled Environment

                                             Calculated Maximum
                                         Radiation Power Density Level
Region                                              (mW/cm2)                Hazard Assessment
1. Far Field (Rff = 6.60 m)                     Sff       0.0645             Satisfies FCC MPE
2. Near Field (Rnf = 2.73 m)                    Snf      0.430                Potential Hazard
3. Transition Region (Rnf < Rt < Rff)           St       0.300                Potential Hazard
4. Between Reflector and Ground                 Sg       0.232               Satisfies FCC MPE


            Table 5. Summary of Expected Radiation levels for Controlled Environment

                                             Calculated Maximum
                                            Radiation Power Density
Region                                          Level (mW/cm2)              Hazard Assessment
1. Far Field (Rff = 6.60 m)                     Sff      0.0645              Satisfies FCC MPE
2. Near Field (Rnf = 2.73 m)                    Snf       0.430              Satisfies FCC MPE
3. Transition Region (Rnf < Rt < Rff)           St        0.200              Satisfies FCC MPE
6. Between Reflector and Ground                 Sg        0.232              Satisfies FCC MPE


It is the applicant's 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 (Table 5) environments none of the regions have levels that exceed the FCC RF
Guidelines. The applicant proposes to comply with the Maximum Permissible Exposure (MPE)
limits of 0.3 mW/cm**2 for the Uncontrolled Areas, and the MPE limits of 1.5 mW/cm**2 for the
Controlled Areas.

The earth station Yagi antenna will be mounted on a platform; so the applicant agrees that the
antenna is in an area secured from the public and worker personnel not familiar with the earth
station system. Non-assigned worker personnel and the general public must be accompanied by
knowledgeable earth station personnel 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.


                                                                                      Exhibit
Radiation Hazard Report                                                               Page 5 of 10

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 radiofrequency 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.


                                                                                  Exhibit
Radiation Hazard Report                                                           Page 6 of 10


      Analysis of Non-Ionizing Radiation for a 7.6-Meter Earth
                          Station System
This report analyzes the non-ionizing radiation levels for a 7.6-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 dependant 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                   7.6            m
     Antenna Surface Area          Asurface         π D2 / 4               45.36            m2
     Subreflector Diameter          Dsr              Input                  61.0            cm
     Area of Subreflector           Asr             π Dsr 2/4             2922.47           cm2
     Frequency                       F               Input                  2056            MHz
     Wavelength                      λ              300 / F              0.145914           m
     Transmit Power                  P               Input                  0.74            W
     Antenna Gain (dBi)             Ges              Input                  41.5            dBi
     Antenna Gain (factor)           G              10Ges/10              14125.4           n/a
     Pi                              π             Constant              3.1415927          n/a
     Antenna Efficiency              η             Gλ2/(π2D2)               0.53            n/a


                                                                                  Exhibit
Radiation Hazard Report                                                           Page 7 of 10




7. 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)
                                                                = 237.5 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)
                                                                = 0.015 W/m2
                                                                = 0.001 mW/cm2

8. 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)
                                                                = 99.0 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)
                                                                = 0.034 W/m2
                                                                = 0.003 mW/cm2

9. 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)
                                                               = 0.003 mW/cm2


                                                                              Exhibit
Radiation Hazard Report                                                       Page 8 of 10

10.    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)
                                                              = 1.013 mW/cm2

11.    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)
                                                               = 0.065 W/m2
                                                               = 0.007 mW/cm2


12.    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)
                                                             = 0.016 W/m2
                                                             = 0.002 mW/cm2


                                                                                  Exhibit
Radiation Hazard Report                                                           Page 9 of 10

13.    Summary of Calculations

           Table 4. Summary of Expected Radiation levels for Uncontrolled Environment
                                            Calculated Maximum
                                       Radiation Power Density Level
Region                                              (mW/cm2)               Hazard Assessment
1. Far Field (Rff = 237.5 m)                    Sff        0.001            Satisfies FCC MPE
2. Near Field (Rnf = 99.0 m)                    Snf        0.003            Satisfies FCC MPE
3. Transition Region (Rnf < Rt < Rff)           St         0.003            Satisfies FCC MPE
4. Between Main Reflector and                   Ssr        1.013             Potential Hazard
    Subreflector
5. Main Reflector                               Ssurface   0.007            Satisfies FCC MPE
6. Between Main Reflector and Ground            Sg         0.002            Satisfies FCC MPE

            Table 5. Summary of Expected Radiation levels for Controlled Environment
                                           Calculated Maximum
                                          Radiation Power Density
Region                                        Level (mW/cm2)               Hazard Assessment
1. Far Field (Rff = 237.5 m)                   Sff         0.001            Satisfies FCC MPE
2. Near Field (Rnf = 99.0 m)                   Snf         0.003            Satisfies FCC MPE
3. Transition Region (Rnf < Rt < Rff)          St          0.003            Satisfies FCC MPE
4. Between Main Reflector and                  Ssr         1.013            Satisfies FCC MPE
    Subreflector
5. Main Reflector                              Ssurface    0.007            Satisfies FCC MPE
6. Between Main Reflector and Ground           Sg          0.002            Satisfies FCC MPE

It is the applicant's responsibility to ensure that the public and operational personnel are not
exposed to harmful levels of radiation.



14.    Conclusions

Based on the above analysis it is concluded that harmful levels of radiation will not exist in regions
normally occupied by the public or the earth station's operating personnel. The transmitter will be
turned off during antenna maintenance so that the FCC MPE of 5.0 mW/cm2 will be complied with
for those regions with close proximity to the reflector that exceed acceptable levels.


                                                                                      Exhibit
Radiation Hazard Report                                                               Page 10 of 10


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 radiofrequency 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: 2014-06-27 14:51:15
Document Modified: 2014-06-27 14:51:15

© 2025 FCC.report
This site is not affiliated with or endorsed by the FCC