Thales Ka MCT Radiation Hazard Study

0072-EX-CM-2017 Text Documents

Thales Avionics Inc.

2017-03-09ELS_188812

                   Analysis of Non-Ionizing Radiation for Thales ESAA Antenna

This report analyzes the non-ionizing radiation levels for a 0.365 m effective aperture earth
station antenna (0.623m x 0.168m aperture). The analysis and calculations performed in this
report are in compliance with the methods described in the FCC Office of Engineering and
Technology Bulletin No. 65. Bulletin No. 65 specifies that there are two separate tiers of
exposure limits that are dependent upon the situation in which the exposure takes place
and/or the status of the individuals who are subject to the exposure. The two tiers are
General Population / Uncontrolled environment, and an Occupational / Controlled
environment.

The applicable exposure limit for the General Population / Uncontrolled environment at this
frequency of operation is 1 mW/cm². The applicable exposure limit for the Occupational /
Controlled environment at this frequency of operation is 5 mW/cm².

Definition of terms

The terms are used in the formulas here are defined as follows:

Ssurface = maximum power density at the antenna surface
Snf = maximum near-field power density
St = power density in the transition region
Sff = power density (on axis)
Rnf = extent of near-field
Rff = distance to the beginning of the far-field
R = distance to point of interest
Pa = 16 W                         power amplifier maximum output in Watts
Lfs = 5.4 dB                      losses between amplifier and antenna input in dB
                                  (Includes 1 dB radome loss)
P = 4.57 W                        power input to the antenna in Watts
                                  (16 W / 10^(5.44 dB / 10))
              2
A = 0.1046 m                      physical area of the aperture antenna (0.623x0.168 m²)
G = 7762 (38.9 dBi)               power gain relative to an isotropic radiator
Dmaj = 0.623 m                    Aperture antenna major axis
Dmin = 0.168 m                    Aperture antenna minor axis
F = 29,500                        frequency in MHz
λ = 0.0102 m                      wavelength in meters (300/FMHz)
η = 0.61                          aperture efficiency


Antenna Surface. The maximum power density directly in front of an antenna (e.g., at the
antenna surface) can be approximated by the following equation:

Ssurface = (4 * P) / A, Note, P is 1 dB higher under the radome


        = (4 * 5.76)/0.104 m2

                    2
        = 220.19 W/m

        = 22.019 mW/cm2


Near Field Region. In the near-field or Fresnel region, of the main beam, the power density
can reach a maximum before it begins to decrease with distance. The extent of the near field
can be described by the following equation (D and λ in same units):

              2
Rnf     = Dmaj / (4 * λ)

        = 0.6232 / (4 * 0.0102)

        = 9.54 m


The magnitude of the on-axis (main beam) power density varies according to location in the
near field. However, the maximum value of the near-field, on-axis, power density can be
expressed by the following equation:

                                2
Snf     = (16 * η* P) / (π* Dmaj )

        = (16 * 0.61 * 4.57) / (π* 0.6232)

                   2
        = 36.61 W/m

        = 3.66 mW/cm2


Far-Field Region. The power density in the far-field or Fraunhofer region of the a n t e n n a
pattern decreases inversely as the square of the distance. The distance to the start of the far
field can be calculated by the following equation:

                     2
Rff     = (0.6 * Dmaj ) / λ

        = (0.6 * 0.6232) / 0.0102

        = 22.9 m


The power density at the start of the far-field region of the radiation pattern can be estimated
by the equation:

                              2
Sff     = (P * G) / (4 *π* Rff )

        = (4.57 * 7762) / (4 * π* 22.92)

                  2
        = 5.38 W/m

        = 0.538 mW/cm2


Transition Region. Power density in the transition region decreases inversely with distance
from the antenna, while power density in the far field (Fraunhofer region) of the antenna
decreases inversely with the square of the distance. The transition region will then be the
region extending from Rnf to Rff. 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

                     2
        = (3.66 mW/cm * 9.54 m) / R

        = 3.66 mW/cm2 where R is the start of the transition region (9.54m)


 Summary of expected radiation levels for an Uncontrolled environment

 Region                           Maximum Power Density                    Hazard Assessment

 Far field (Rff) = 22.9 m                 0.538 mW/cm2                     Satisfies FCC MPE
                                                    2
 Near field (Rnf) = 9.54 m                3.66 mW/cm                       Potential Hazard
 Transition region (Rt)
 (Rt) = Rnf < Rt < Rff                    3.66 mW/cm2                      Potential Hazard

 Main Reflector Surface (Ssurface)                   2                     Potential Hazard
                                          22.02 mW/cm

 Note, power density level in the area between the feed and the reflector surface is greater than the
 reflector surface and is assumed to be a potential hazard.

 Summary of expected radiation levels for a Controlled environment

 Region                           Maximum Power Density                    Hazard Assessment

 Far field (Rff) = 22.9 m                 0.538 mW/cm2                     Satisfies FCC MPE
 Near field (Rnf) = 9.54 m                3.66 mW/cm2                      Satisfies FCC MPE
 Transition region (Rt)                   3.66 mW/cm2                      Satisfies FCC MPE
 (Rt) = Rnf < Rt < Rff
  Main Reflector Surface (Ssurface)       22.02 mW/cm2                     Potential Hazard
 Conclusions

The satellite terminal will be protected from uncontrolled access while in operation. There will also be
proper emission warning signs placed and all operating personnel will be aware of the human exposure
levels at and around the terminal. 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 workers.



Document Created: 2017-03-09 15:38:39
Document Modified: 2017-03-09 15:38:39

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