You are asked to select the best ultrasound imaging parameters for imaging a deep-lying small structure. Assume that this object is located at 20 cm depth and is embedded within a homogeneous tissue with
Sound speed c = 1, 500 m/s and absorption coefficient α = af , where a = 1.0 dB/(cm MHz). Also assume that the system is sensitive to at most a 100 dB signal loss.
You can choose one of three operating frequencies: f = 1 MHz, f = 2 MHz or f = 5 MHz. Given any frequency, you can choose one of two transducer diameters: D = 1 cm or D = 2 cm. Assume that all transducers have flat faces and use the split-range field pattern approximation (i.e., geometric and far-field approximations in their appropriate ranges). Which combination of f and D will give the best image of this structure? Justify your answer.
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