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I'm currently stuck on how to derive the orientation factor for RET. I've searched a lot of journals articles on how to derive it and I find their derivations to be hand wavy. Basically, the common equations for RET are:

κ^{2}= (cosθ_{T}- 3cosθ_{D}cosθ_{A})2 = (sinθ_{D}sin θ_{A}cosΦ - 2cosθ_{D}cosθ_{A})^{2}

I've also attached a diagram associated with it:

Source: http://www.olympusfluoview.com/applications/fretintro.html [Broken]

Can somebody point me to the right direction on how to derive this? It isn't simple geometry in my opinion.

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# Orientation factor in Resonance Energy Transfer

Can you offer guidance or do you also need help?

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