Keywords: Diffusion Acquisition, Diffusion/other diffusion imaging techniques, oscillating gradient, OGSE, universality, asymptotic limit, high frequency
Motivation: Existing theory for OGSE-DWI has been developed under the assumption of an ideal cosinusoidal gradient waveform, but it is impossible to implement such a waveform in practice.
Goal(s): The purpose of this work was to investigate how the high-frequency asymptotic behaviour of the ADC is affected when an approximate cosinusoidal waveform is used for OGSE-DWI measurements.
Approach: A theoretical study was performed that derived the asymptotic behaviour of the ADC from first principles for three MPG waveforms.
Results: The difference in predicted behaviour between an approximate cosinusoidal waveform and an ideal waveform may be important when making precise measurements of the surface-to-volume ratio.
Impact: The microstructure of a complex medium can be characterised by measuring the high-frequency limit of the ADC with OGSE-DWI. However, it is important to understand how the limitations of the gradient hardware affect the interpretation of the data.
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