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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

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