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Using Adiabatic Inversion Pulses for Frequency Selective Excitation

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  Adiabatic RF pulses are well known for robust, B 1 -insensitive (i.e. changing the pulse amplitude above a minimum cut-off has little impact on its performance) and offset-independent inversion . But they can also be used for B 1 -insensitive narrow-band selective excitation .  How? Any inversion pulse, adiabatic or not, always produces transverse magnetization ( M xy ) centered around the transition band of the frequency profile. Take for instance this 30-ms Hyperbolic Secant adiabatic inversion pulse (HS1), with a time-bandwidth factor (R) of 20, and its simulated frequency profile. The transverse magnetization is excited centered around the transition bands of the inversion profile, and has an excitation bandwidth of ca. 155 Hz. This bandwidth depends on the pulse duration - longer the pulse, smaller the bandwidth - and also on the pulse shape. The offset of the excitation bands depends on the inversion bandwidth, and is ~±333 Hz. More importantly, this excitation is co...

Visualizing Slice Selection and Shaped Pulse Excitation profiles

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What is slice selection? Routinely used in MRI, slice-selection refers to the excitation and observation of signals from only a specific, well-defined ‘slice’ of the sample, instead of the whole sample. In MRI, this could be a ‘slice’ of the human brain: Magnetic field gradient causes the center frequency ( F c ) of each slice to vary by position. The range of frequencies ( ΔF ) contained in a slice depends on slice thickness ( ΔF ) and the strength of the gradient ( G ss ). Source: https://mriquestions.com/slice-selective-excitation.html   From an high-resolution NMR perspective, it most often refers to selectively observing different parts of the typical NMR tube, as described here in Glenn Facey’s blog .  As also described in Facey’s blog, slice-selection is achieved by applying a linear gradient simultaneously with the excitation pulse, which is usually a shaped RF pulse. A key difference between slice selection in imaging applications vs high-resolution NMR is that imagi...

A Brief Primer on Adiabatic Pulses

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Adiabatic Pulses Adiabatic pulses are a special category of pulses where both the amplitude and frequency (hence phase) of the pulses are modulated. They are designed to be insensitive to B1 inhomogeneities and miscalibrations, as long as the amplitude is above a certain threshold. They are ideal for uniform inversion or refocusing across large bandwidths. For more on adiabatic pulses, please refer to Chapter 5 in Ref. [1] and Chapter 12 in Ref. [2]. Some of these pulses have specific requirements that need to be met for them to behave ideally. In this section, we will discuss a few different types of adiabatic pulses and the ideal parameters needed for their optimal behavior. The Adiabatic Condition Adiabatic pulses need to satisfy the ‘adiabatic condition’ in order to achieve efficient inversion. The adiabatic condition is met when the effective B1 field is sufficiently larger than the rate of frequency sweep. That is, if the sweep is slow enough, the magnetization gets ‘dragged’ alo...