Attachment Rad Hazard Study

This document pretains to SES-MOD-20101210-01526 for Modification on a Satellite Earth Station filing.

IBFS_SESMOD2010121001526_856327

Radiation Hazard Analysis for the Harris MCS Earth station Melbourne, Florida This report analyzes the non-ionizing radiation levels for a 6.3-meter earth station system located at the Harris MCS facility in Melbourne, Florida. 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 exposures 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 the transmit frequency and is for an exposure period of thirty minutes or less. The MPW 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 sub- reflector or 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. Frequency Range (MHz Power Density (mW/cm2) 30-300 0.2 300-1500 Frequency (MHz)*(0.8/1200) 1500-100,000 1.0 Table 1. Limits for General Population/Uncontrolled 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 2. Limits for Occupational/Controlled Exposure (MPE)

Parameter Symbol Formula Value Units Antenna Diameter D Input 6.3 m 2 Antenna Surface Area Asurface πD /4 31.2 m2 Sub-reflector Diameter Dsr Input .7112 m Area of Sub-reflector Asr πDsr2/4 .397 m2 Frequency F Input 14125 MHz Wavelength λ 300/F 0.02 m Transmit Power P Input 250 W Antenna Gain (dBi) Ges Input 57.5 dBi Ges/10 Antenna Gain (factor) G 10 562341.3 N/A Pi π Constant 3.1415927 N/A Antenna Efficiency η Gλ2/(π D)2 .64757 N/A Table 3. Variables used in calculations 1. Far Field Radiation The distance to the beginning of the far field region ( Rff ) can be expressed by the equation: WHERE: Rff = 0.6 D2 D = 6.3 Antenna Diameter (meters) λ λ = 0.02 Wavelength Rff = 0.6 x (6.3)2 = 1121.2 meters 0.02 The maximum main beam power density in the far field can be determined from the following equation: Sff = G P__ G = 562341.3 Antenna Gain (factor) 4 π (Rff)2 P = 250 Transmit Power Sff = (562341.3)*(250)__ = 8.90 W/m2 or 0.890 mW/cm2 4π (1121.2) 2

2. Near Field Radiation The extent of the near field can be described by the equation: WHERE: Rnf = __D2__ Rnf = Extent of near-field 4λ D = Antenna diameter λ = Wavelength Rnf = ___(6.3)2__ = 467.2 meters 4 * 0.02 The maximum value of the near field on-axis (main beam) power density is given by the equation: WHERE: Snf = __16 η P__ S = Maximum near-field power density π D2 η = Efficiency of aperture (percentage) P = Power into feed (Watts) D = Antenna Diameter (meters) Snf = __16 * (.64757) * 250_ = 20.77 W/m2 or 2.077 mW/cm2 3.1415927 ∗ (6.3)2 3. Transition Region On-axis power density will decrease with distance in the transition region. The power density can be expressed by the equation: WHERE: S = S(nf) R(nf) S = Power Density R S(nf) = Power Density in (near field) R(nf) = Extent of near field R = Distance to point of interest At the beginning of the transition region, i.e. at a distance of 496.1 meters, the power density equals: S = 2.077 x 467.2 = 2.077 mW/cm2 467.2

At the beginning of the far-field region, i.e. at a distance of 1121.2 meters, the power density equals: S = 2.077 x 467.2 = 0.866 mW/cm2 1121.2 4. Region between Main Reflector and Subreflector Transmissions from the feed assembly are directly 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. WHERE: Ssr = P S = Power density π r2 P = Power into feed r = radius of subreflector (m) Ssr = 250 = 629.3 W/m2 = 62.9 mW/ cm2 2 3.14 x .3556 5. Region within Antenna The maximum power density between the main reflector and the feed is taken as the power density at the main reflector. This can be described from the equation. WHERE: S = P S = Power density π r2 P = Power into feed r = radius of reflector S = 250 = 8.02 W/m2 = 0..802 mW/ cm2 3.14 x 3.152

6. Between Antenna and Ground As suggested by OET Bulletin 65, Edition 97-01 (August 1997) the level of RF fields in the off-axis vicinity of the aperture antenna may be estimated by the use of the specification for maximum allowable gain for antenna side-lobes not within the plane of the Geo-stationary orbit, as follows: 32- {25 log10 (θ)} dBi for 1° ≤ θ ≤ 48° and: -10dBi for 48° < θ ≤ 180° Therefore, at the minimum elevation angle of 24˚ a value of -2.5 dBi is utilized for the side-lobe gain at all vicinities to the beginning of the Far Field power density where: Sff = PG S = Power density 4 π D2 P = Power into feed D= Distance from feed to ground G= Antenna Gain Factor - 10-2.5/10 = .566 Sff = 250 x 2.367 = 30.61 W/m2 = 3.061 mW/ cm2 4 x 3.14 x 3.152 7. Summary of calculations

Region Radiation Level Hazard Assessment mW/cm2 Far-Field 0.890 mW/cm2 Satisfies FCC MPE Near-Field 2.077 mW/cm2 See Note 1 Transition Region 0.866 mW/cm2 Satisfies FCC MPE Between sub and Main Reflector 62.9 mW/cm2 See Note 2 Reflector Surface 0.802 mW/cm2 Satisfies FCC MPE Between antenna and ground 3.061 mW/cm2 See Note 1 Table 4. Summary of Expected Radiation Levels for Uncontrolled Environment Region Radiation Level Hazard Assessment mW/cm2 Far-Field 0.890 mW/cm2 Satisfies FCC MPE Near-Field 2.077 mW/cm2 Satisfies FCC MPE Transition Region 0.866 mW/cm2 Satisfies FCC MPE Between sub and Main Reflector 62.9 mW/cm2 See Note 2 Reflector Surface 0.802 mW/cm2 Satisfies FCC MPE Between antenna and ground 3.061 mW/cm2 Satisfies FCC MPE Table 5. Summary of Expected Radiation Levels for Controlled Environment Note 1: The Near-Field region of the Uncontrolled Environment has limited public activity due to its land usage. It contains unused open fields without pedestrian traffic, rain water retention ponds and passing vehicular movement. An 8’ fence having a minimum12m distance from the antenna is erected to restrict public access. The Controlled Environment is contained behind the fenced area where professional satellite engineers may pass but do not linger. Note 2: Region between the subreflector and feed does not meet the MPE. However, the area is inaccessible unless standing in the antenna. If access to subreflector is required, Standard operating procedures require the amplifier be de-enegized and power removed. 8. Conclusion Based on the prior analysis it is concluded that all levels of radiation within the areas occupied by the public and earth station personnel are below FCC guidelines of 5.0 mW/cm2. To further minimize the possibility of RF exposure to the public the earth station is secured within a fenced-in area that is security controlled with limited access. Additionally the transmitter will be shut down whenever maintenance personnel are within the secured area.


Document Created: 2009-08-18 11:57:47
Document Modified: 2009-08-18 11:57:47
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