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Notes 10 Spring 2005

Notes 10 Spring 2005 - Notes 10 Spring 2005 Polarization...

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Unformatted text preview: Notes 10 Spring 2005.doc Polarization According to the IEEE Standard Definitions for antennas the polarization of a radiated wave is defined as “That property of a radiated electromagnetic wave describing the time-varying direction and relative magnitude of the electric field vector; specifically, the figure traced as a function of time by the extremity of the vector at a fixed location in space, and the sense in which it is traced, as observed along the direction of propagation.” We showed before for the field represented in free space by ( ) ( z k t cos E x ˆ t , z x − ω ) = E G that at a particular choice of z the electric field vector varies in a straight line. Therefore, we can say that this electric field is a linearly polarized uniform plane wave. In phasor form this field is . z jk x e E x ˆ E − = G We can write a more general phasor form which will encompass two additional polarization types: ( ) ( ) ( ) b o a z k t cos b y ˆ z k t cos a x ˆ t , z φ + ± ω + φ + ± ω = E G ( ) ( b a z k j z k j be y ˆ ae x ˆ E φ + ± φ + ± + = G ) where a and b are the amplitudes for each direction and...
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