Directivity index of an underwater acoustic transducer array

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Is there a relation or formula to calculate directivity index of an underwater acoustic transducer array, given the half power beamwidths of the array in azimuth and elevation planes.
 
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Welcome to PF.

What have you found so far in your reading? Can you post some links to your reading and ask specific questions about that reading? That's probably the best way to get you started on this question.

Also, do you have any experience with RF antenna arrays? Some of the math will be similar.
 

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