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I'm studying soundwaves under water and I had a numerical problem that I was asking about.

https://stackoverflow.com/questions/28904017/are-my-matlab-iterations-working

Now I wonder if you can tell me if it is realistic or some miscalculation that makes my sound waves appear like they are sinking and then floating up?

enter image description here

The horizontal axis is horizontal direction and the vertical axis is depth. I have the equations to make the model (these were previously calculated).

$c(z)=4800-20.2090+(17.3368)\frac{z}{1000}+(272.9057)exp(-\frac{-0.7528z}{1000})$ and

$c'(z)=(-0.7528*272.9067/1000)exp(-\frac{-0.7528z}{1000}) +17.3368/1000$

Now it says in the assigment "You should find that the depth at xf = 25 nautical miles is close to 2500 feet."which is an answer I also get. But I don't fully understand the grphs. Then to find if another ray also reaches 2500 feet I have made an iteration to inspect the ranges of degrees and find that there can be other rays coming from different angles. Does that seem correct?

enter image description here

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If I understand what you are asking, then the answer is no. Sound waves are not matter, and thus do not sink or float, but instead, expand in a medium.

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