Calculating Amplitude of Elliptically Polarized EM Wave

AI Thread Summary
To report the amplitude of an elliptically polarized EM wave, one must consider the contributions of both components of the electric field. The total amplitude can be calculated using the formula for the resultant amplitude of two orthogonal components, which is given by the square root of the sum of the squares of the individual amplitudes: √(A² + B²). This approach is analogous to determining the magnitude of a voltage source with time-dependent functions. The discussion emphasizes that the focus is on amplitude rather than intensity, and RMS values are relevant primarily for power calculations. Understanding the relationship between the components is crucial for accurate amplitude reporting.
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Suppose I have an eliptically polarizied EM wave, whose electric field can be written as

\vec{E}=A\cos(kz-\omega t)\vec{e}_x+B\sin(kz-\omega t)\vec{e}_y,

where the constants A and B are amplitudes of the x and y components of the beam, respectively.
How would I report the amplitude of the whole beam?

(Please note that I am not looking for intensity of the beam -- I know how to report that).
 
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This question is similar to asking, what is the magnitude of a voltage source with time function:

V = A\cos (\omega t) + B\sin(\omega t)

There are two out of phase components superimposed on each other. In my opinion, it would only make sense to have some RMS value if you are doing power calculations.
 
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