Attachment Power density

This document pretains to SES-LIC-INTR2019-03638 for License on a Satellite Earth Station filing.

IBFS_SESLICINTR201903638_1938249

                         Non-Ionizing Radiation Hazard Assessment
                                         For the
                               1m Ka Earth Station Terminal
                                       April 3, 2019


1.        Introduction

This analysis calculates the non-ionizing radiation levels for a ViaSat, Inc, (“ViaSat”) 1m
Ka-band earth station terminal (“ES terminal”). The calculations performed in this analysis
comply with the methods described in FCC Office of Engineering and Technology Bulletin,
Number 65 (Edition 97-01) (“Bulletin 65”). This analysis demonstrates that the 1m Ka ES
terminals are compliant and will not result in exposure levels exceeding the applicable
radiation hazard limits.

Bulletin 65 and section 1.1310 of the Commission's rules specify two separate tiers of
exposure limits: one for Occupational/Controlled Exposures and one for General
Population/Uncontrolled Exposures. Limits for Occupational/Controlled Exposures apply
in situations when persons are exposed as a consequence of their employment and are fully
aware of and can control their exposure. These limits also apply in situations when a person
is transient through a location where such limits would otherwise apply provided the person
is made aware of the potential for exposure. The limits for General
Population/Uncontrolled Exposure apply in situations in which the general public may be
exposed, or in which persons that are exposed as a consequence of their employment may
not be fully aware of the potential for exposure or cannot exercise control over their
exposure. ViaSat will typically deploy its CP terminals in General Population/Uncontrolled
Environments. Accordingly, this analysis discusses only the Maximum Permissible
Exposure (“MPE”) limit for those types of exposures, which is a power density equal to 1
milliwatt per centimeter squared averaged over a thirty minute period.

As described in the definitional section of Appendix A, this report analyzes the maximum
power density levels in the vicinity of a CP terminal antenna in five regions:

     1.   The far field
     2.   The near field
     3.   The transition region between near field and far field
     4.   Near the main reflector surface

These radiation regions were analyzed using the definitions and formulas in Bulletin 65
for aperture antennas. The results of this analysis are summarized in Tables 1, which
identify the potential exposure under nominal operating conditions and worst-case
conditions, respectively. The assessment is conservative as the radome loss is excluded
from the analysis.




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2.       ES Terminal Description

The ES terminal’s antenna is housed inside a radome. It is intended for maritime
applications, and is typically mounted on a mast. The ES terminal is capable of operating
in low burst rate and high burst rate modes. In low burst rate mode, the ES terminal
transmits bursts at lower EIRP, but at higher duty cycles. In high burst rate mode, the ES
terminal transmits bursts at higher EIRP, but at reduced duty cycles. Transmits bursts of
information at designated times that are assigned to the terminal by the network. The length
and carrier frequency of each transmission burst depend on the ES terminal's mode of
operation and its traffic requirements. In normal operation, the ES terminal transmit EIRP
and duty cycle is limited to the followings:

     •   Low burst rate mode: Maximum power level of 3 Watts, and a nominal duty cycle of less
         than 30%.
     •   High burst rate mode: Maximum power level of 25 Watts, and a nominal duty cycle of
         less than 6.25%.

The ES terminal incorporates two “fail safe” features that limit the potential for human
exposure. First, the transmitter is not enabled until the receive down link connection to the
satellite has been established and an acceptable down link bit error rate has been achieved.
The transmitter is disabled very quickly, in less than 40 milliseconds, if a loss of down
connectivity occurs. Transmissions will not resume until approximately 10 seconds after
downlink communications have been reestablished. Secondly, the terminal's transmitter is
not capable of operating in a continuous transmit mode of operation. The ES terminal's
outdoor unit incorporates a watchdog timer that will shut down the transmitter if it remains
in a continuous transmit state for more than 10 seconds. Under these conditions, the
transmitter will be turned off briefly then resume normal operation after an internal reset
has occurred.

3.       Explanation of the Analysis

The “Calculated Values” in Tables 2 (low burst rate and high burst rate) are the exposure
rates calculated first using the formulae from the Office of Engineering and Technology
Bulletin Number 65 (Edition 97-01) for a system with continuous (100% transmit duty
cycle) transmission. The ViaSat network, however, is based on so-called “shared pipes”.
ES terminals transmit short bursts of data periodically as instructed by the network and are
neither designed for nor capable of continuous transmission. Therefore, in order to compute
the effective radiated energy of a ES terminal operating on ViaSat network, the ES
terminal’s transmitter duty cycle has been used to adjust the values calculated from Bulletin
Number 65.

The columns in the tables labeled “Low Burst Rate” and “High Burst Rate” reflect the total
potential for human exposure based on the length of time that the CP terminal transmits
energy during a rolling




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4.      Summary of Analysis
This analysis demonstrates that the ES terminal is not a radiation hazard because the
terminal does not exceed the MPE limit of 1 milliwatt per centimeter squared averaged
over a thirty minute period. As demonstrated in Tables 1, power density in both near field,
far field, and antenna surface are less than MPE for general population/uncontrolled
environments. If the down link (receive signal) is interrupted, the uplink (transmit signal)
is shut down in less than 40 milliseconds and the receiver down link recovery time is 10
seconds. The uplink will remain off until the blockage is removed and the downlink
recovery is complete. This feature, coupled with the terminal's use of uplink power control
and non-continuous operation, ensures that the general population will not be exposed to
harmful levels of radiation.

5.     Conclusion
This radiation hazard analysis demonstrates that the 1m Ka ES terminal will not result in
exposure levels exceeding the applicable radiation hazard limits.

6.     Definition

Region Near Main Reflector Surface
The power density near the main reflector surface can be estimated as equal to four times
the power divided by the area of the main reflector surface, assuming that the illumination
is uniform and that it would be possible to intercept equal amounts of energy radiating
towards and reflected from the antenna surface.

Near Field Region
The near field region is a cylindrical volume co-incident with the boresight of the main
beam extending outward from the main reflector. The length of the near field is 𝐷2/(4𝜆)
meters, where D is the diameter of the antenna.

Transition Region
The transition region is located between the near field region and the far field region.
This region has a power density that decreases inversely with increasing distance.
Therefore, the power density in the transition region will be less than the power density in
the near field for the purpose of evaluating potential exposure.

Far Field Region

The far field region extends outward from the main reflector, beginning at a distance of
0.6*𝐷2/𝜆 meters. The maximum power density is calculated using the equation
recommended in Bulletin 65.




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7.       Radiation Hazard Assessment

                                           Table 1: Input Parameters


 Item      Parameter                                                              Value
   1       Antenna diameter, D                                                    1.0 meter
   2       Antenna aperture area, A= πD2/4                                        0.79 m2
   3       Wavelength, λ, at 30.00 GHz                                            0.01 meter
   4       Aperture efficiency, εa, = G λ2 /(πD)2 , at 30GHz                      0.64
   5       Antenna effettive aperture area, Ae= εaA, at 30                        0.5056 meter
           GHz
     6     Boresight gain, G(dB), = 10LOG10 (4πAe/ λ2), at                        48.0 dBi
           30 GHz
     7     Maximum power into antenna, low burst rate                             2.8 Watt
           mode, at 30 GHz
     8     Maximum transmit duty cycle, low burst rate                            30%
           mode
     7     Maximum power into antenna, high burst rate                            25 Watt
           mode, at 30 GHz
     8     Maximum transmit duty cycle, low burst rate                            6.25%
           mode


                                           Table 2: Calculated Values

                                                          2
     1   Extent of near field                    Rnf = D / (4λ)                25.00         25.00     m
                                                              2
     2   Begin of far field                      Rff = 0.6*D / λ               60.00         60.00     m
                                                                           2                              2
     3   Max on axis Power density near field    Snf = 16 εa *P/ (πD )         0.913         8.149   mW/cm
         Max on axis Power density near field,
                                                                                                           2
     4   w/ duty cycle                           d*Snf                         0.274         0.509   mW/cm
     5   Max on axis power density, far field    Sff = P*G / (4πRff )  2
                                                                               0.391         3.491   mW/cm2
         Max on axis Power density, far field,
                                                                                                           2
     6   w/ duty cycle                           d*Sff                         0.117         0.218   mW/cm
         Max on axis PFD, far field,
                                                                   2                                       2
     7   w/ duty cycle                           Sff = P*G / (4πR )            0.12          0.02    mW/cm
                                                                                                           3
     8   PFD at the aperture                     4P/A                          1.426         1.426   mW/cm
         PFD at the aperture,
                                                                                                           3
     9   w/duty cycle                            d*4P/A                        0.428         0.089   mW/cm




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Document Created: 2019-10-03 10:15:26
Document Modified: 2019-10-03 10:15:26

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