I Find the interference function for different emission modes

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The discussion focuses on finding the interference function I(δ) for five different emission modes analyzed through a Michelson interferometer. The relevant equations provided include I(δ) as an integral involving the emission spectrum G(k) and the intensity contributions from each mode. The emission modes have varying frequencies and intensities, prompting the need to sum the individual contributions to determine the overall interference function. There is uncertainty regarding whether the five modes can be treated as distinct sources in the analysis. The conversation emphasizes the complexity of extending the analysis from two frequencies to multiple modes.
DragonBlight
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Homework Statement:: Find the interference function ##I(\delta)## where The emission is analyze by a Michelson interferometer.
Relevant Equations:: ##I(\delta) = \frac{1}{2} \int_{-\infty}^{\infty} G(k) r^{ik \delta} dk## ##I(\vec{r}) = I_1 + I_i + 2 \sqrt(I_1 I_i) cos (k\delta)##

I have 5 modes where there frequency are V, V+5ghz, V-5ghz. V+10ghz, V-10ghz and there intensity are, I, I/2, I/2, I/4, I/4.
The emission is analyze by a Michelson interferometer.

Since there are different modes what should be the way to find the interference function ##I(\delta)## I'm used to find ##I(\delta)## for some emission lines analyzed at one point, thus we can sum all the ##I_i##.

I'm not quite sure if the question is clear.
 
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Section 2.3 of this document the author is talking about 2 frequencies but if instead of the 2 frequencies we have 5 different modes.
 
I have another question. Can the modes be used as 5 different sources?
 
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