Algorithm for adiabatic pulse design using the Shinnar Le-Roux transform

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United States of America Patent

PATENT NO 8473536
APP PUB NO 20100325185A1
SERIAL NO

12489285

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Abstract

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A method for providing an adiabatic RF pulse that is an inversion or refocusing pulse for a RF pulse sequence is provided. A linear phase frequency profile (Flp(ω)) is determined for the adiabatic RF pulse. A quadratic phase is applied to the linear phase frequency profile for the adiabatic RF pulse to obtain F(ω), wherein the applying the quadratic phase comprises setting F(ω)=Flp(ω)eikω2. A polynomial β is set to equal a Fourier Transform (F(ω)). A corresponding minimum phase α polynomial is determined for the β polynomial. (α,β) are set as inputs to an inverse Shinnar Le-Roux transform to generate an adiabatic RF waveform. The adiabatic RF waveform is truncated to produce the adiabatic RF pulse, wherein k>0.03π/(ω5−ωp)/(N+1) and kmax, where kmax is a value at which the adiabatic RF pulse is truncated at 25% of a maximum RF amplitude.

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Patent Owner(s)

  • THE BOARD OF TRUSTEES OF THE LELAND STANFORD JUNIOR UNIVERSITY

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Inventor(s)

Inventor Name Address # of filed Patents Total Citations
Balchandani, Priti Menlo Park, US 8 25
Pauly, John M Stanford, US 77 1135
Spielman, Daniel M Menlo Park, US 5 70

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