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Course: MEDPHYS MP230, Fall 2010School: Duke
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MP230ModernDiagnosticMedicalImagingSystems Homework#3DueSept.30th DueonSept.30thinclass Turnin: PARTAquestionsshowingallthework AProblems(pp343346ofPrince) a.Waveequation 10.1 10.3 b.Wavepropagation 10.9 10.11(a)and(b) c.Dopplereffect 10.12 d.Ultrasoundfieldpattern 10.16Youmayassumethatthepointofinterestdismuchfurther thanthesizeofthetransducerrm....
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MP230ModernDiagnosticMedicalImagingSystems Homework#3DueSept.30th DueonSept.30thinclass Turnin: PARTAquestionsshowingallthework AProblems(pp343346ofPrince) a.Waveequation 10.1 10.3 b.Wavepropagation 10.9 10.11(a)and(b) c.Dopplereffect 10.12 d.Ultrasoundfieldpattern 10.16Youmayassumethatthepointofinterestdismuchfurther thanthesizeofthetransducerrm.
11.11hint:part(b)and(d)involvesolvingatranscendentalequation, e.Ultrasoundimagingsystemdesignandimagingquality youcansolvenumericallyoryoucanapproximatebythefirst zeroesofthesincfunction.
10.17(a)s(x,y)mustbesometypeofrectfunction. 10.17(d) 10.17(e)hint:findxandythatgiveyouthefirstzerosofthefield pattern(whichisapprox.equaltoitsFWHM)frompartd.
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