Effects on Satellite Communications and Navigation - ESA Space ...
Effects on Satellite Communications and Navigation - ESA Space ...
Effects on Satellite Communications and Navigation - ESA Space ...
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Faraday rotati<strong>on</strong> (rad)<br />
Faraday Rotati<strong>on</strong> (1)<br />
When propagating through the i<strong>on</strong>osphere, a linearly polarized wave will suffer a<br />
gradual rotati<strong>on</strong> of its plane of polarizati<strong>on</strong> due to the presence of the<br />
geomagnetic field <strong>and</strong> the anisotropy of the plasma medium. The magnitude of<br />
Faraday rotati<strong>on</strong>, q, will depend <strong>on</strong> the frequency of the radiowave, the magnetic<br />
field strength, <strong>and</strong> the electr<strong>on</strong> density of the plasma as:<br />
θ=2.36 × 10 2 B av N T f –2<br />
where:<br />
θ: angle of rotati<strong>on</strong> (rad)<br />
B av : avg. Earth magnetic field (Wb/m 2 )<br />
f : frequency (GHz)<br />
N T : TEC (el/m 2 ).<br />
The Faraday rotati<strong>on</strong> is thus inversely proporti<strong>on</strong>al to the square of frequency <strong>and</strong><br />
directly proporti<strong>on</strong>al to the integrated product of the electr<strong>on</strong> density <strong>and</strong> the<br />
comp<strong>on</strong>ent of the Earth's magnetic field al<strong>on</strong>g the propagati<strong>on</strong> path.<br />
10 4<br />
10 3<br />
10 2<br />
10<br />
1<br />
10 –1<br />
Source: ITU-R Rec P. 531-6<br />
2002-07-29 ALPBACH 19<br />
Faraday Rotati<strong>on</strong> (2)<br />
FIGURE 1<br />
Faraday rotati<strong>on</strong> as a functi<strong>on</strong> of TEC <strong>and</strong> frequency<br />
10 19 el/m 2<br />
10 18<br />
10 17<br />
10 16<br />
10<br />
0531-01<br />
–2<br />
0.1 0.2 0.3 0.4 0.5 1 2 5 10<br />
Frequency (GHz)<br />
SatComs <strong>and</strong> SatNav<br />
systems at<br />
f < 6 GHz are normally<br />
using circular<br />
polarizati<strong>on</strong> in order to<br />
avoid the effects of<br />
Faraday rotati<strong>on</strong>.<br />
For remote sensing<br />
systems, the Faraday<br />
rotati<strong>on</strong> can c<strong>on</strong>stitute<br />
severe limitati<strong>on</strong>s<br />
The cross-polarizati<strong>on</strong> discriminati<strong>on</strong> for aligned antennas, XPD (dB), is related<br />
to the Faraday rotati<strong>on</strong> angle, q, by: XPD = –20 log (tan θ)<br />
2002-07-29 ALPBACH 20