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Electromagnetic Waves

Electromagnetic Waves

Electromagnetic Waves

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Stokes Parameters<br />

The polarization content of an EM wave is known if it can be written in<br />

the form of either (18) or (24) with known coefficients (E1, E2) or<br />

(E−, E+) .<br />

In practice, the converse problem arises i.e. given a wave of the form (6),<br />

how can we determine from observations on the beam the state of<br />

polarization?<br />

A useful tool for this are the four Stokes parameters. These are<br />

quadratic in the field strength and can be determined through intensity<br />

measurements only. Their measurements determines completely the state<br />

of polarization of the wave.<br />

For a wave propagating in the z-direction the scalar products<br />

ɛ1 · E , ɛ2 · E , ɛ ∗ + · E , ɛ ∗ − · E (25)<br />

are the amplitudes of radiation respectively, with linear polarization in<br />

the x-direction, linear polarization in the y-direction, positive helicity<br />

and negative helicity.<br />

The squares of these amplitudes give a measure of the intensity of each<br />

type of polarization.<br />

The phase information can be taken by using cross products<br />

<strong>Electromagnetic</strong> <strong>Waves</strong>

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