point response of a linear pulse - echo imaging system with gaussian transducer

نویسندگان

مصطفی فاطمی

چکیده

pulse echo b - scan imaging systems have been used for years in medical diagnosis. the theroy of such systems have been investigated by several researchers. in this paper, we introduce a new model for b - scan imaging system based on gaussian type transducer. an imaging system is normally identified by its point response function. this function describes the image of a single physical point object. generally, derivation of the point response requires extensive mathematical operations and complex integrations; and normally it can not be expressed in closed form. numerical solution to the problem is not always feasable. in this paper, we present an approximate, but practical, method for derivation of the point response of a linear pulse echo system in closed form. the transducer model used here, is assumed to have gaussian field distribution, and defined by 5 parameters: width, length, center frequency. band width, and the time delay the point response is derived in a rather simple form, suitable for mally applications. it can accurately represent an imging system with true gaussian transducer within the far field region. also, by proper adjustment of the prameters, this function can be used as a tool in approximate modelling of non - gaussian imaging systems.

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