Magnetic resonance experiments by spatial encoding using the...

Electricity: measuring and testing – Particle precession resonance – Using a nuclear resonance spectrometer system

Reexamination Certificate

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C324S309000, C324S307000

Reexamination Certificate

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07141973

ABSTRACT:
In a method of spatial encoding in magnetic resonance experiments, encoding kernels are imposed into the magnetization signal during the excitation or re-focussing process using a transmit array coil. Separate transmit array coil elements are provided so that in a particular phase encode direction, z in this case, they can be driven to produce partially orthogonal B1 fields, Tt(r), that exhibit a Fourier phase distribution given byin-line-formulae description="In-line Formulae" end="lead"?Tt(r)=T0ei(ktTz)=T0ei(tΔkzz).in-line-formulae description="In-line Formulae" end="tail"?The NMR signal, Sm(kn), received by a coil array element m of the M receive coils, during application of a pulse sequence for the n-th phase encoding step in k-space is then given byin-line-formulae description="In-line Formulae" end="lead"?Sm(kn)=∫drρ′(r)ei(kn·r)Cm(r)in-line-formulae description="In-line Formulae" end="tail"?such thatin-line-formulae description="In-line Formulae" end="lead"?ρ′(r)=ρ(r)Tt(r)=ρ(r)T0ei(tΔkzz)in-line-formulae description="In-line Formulae" end="tail"?where knis the nthspatial encoding k-space trajectory for the spatial dimension r, Cm(r) is the receive coil sensitivity, and ρ′(r) represents the magnetization spatial distribution arising from the spin density spatial distribution ρ(r), the pulse sequence and the transmit array excitation/re-focussing phase profile. It is clear that using an appropriately driven transmit array capable of producing the tthphase encode term, gradient phase encode steps may be eliminated.

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