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I have a few emitters at 2.5 GHz at different points on the edge of a sphere of water. I want to find the RMS energy transmitted into the water in the sphere. Ideally by moving emitters/adding a phase delay, I can create an interference pattern that puts a hot spot arbitrarily where I want it.

I'm not worried about finding a rigorous answer, I'm just fine with matlabing it so long as I know what it is that I really need to do.

What I was thinking:

Represent the signal from the source as a sin wave. (Already with the appropriate phase delay to put a peak at the 'hot spot') Add the amplitude of the wave from each source. Square it and integrate it over one period. Divide by frequency and take the root to get RMS power.

Where I run into problems:

I cannot for the life of me remember how to get how the wave attenuates as it goes through the water.

So, 1. What have I already done wrong, and 2. Can someone please help me the rest of the way?

Thanks a lot,

Jon