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Ping intensity dropoff

Hi, i am wondering if anyone has a good model for the intensity drop for the ping 360?

I am familiar with standard relationships, such as, I~1/R^4. However, it would be great if a more specific model has already been developed.

I am very keen on compensating for the intensity drop due to range. E.g a the same object should (after compensation) return the same intensity regardless of range. Note that i am aware of effects of angles etc.

Best,
Ole Haaland