Inventors:
John S. Leigh - Philadelphia PA
Meir Shinnar - Bala Cynwyd PA
Assignee:
Trustees of the University of Penna. - Philadelphia PA
International Classification:
G01R 3320
Abstract:
Methods of constructing pulse sequences to selectively excite frequency bands in NMR imaging, spectroscopic and optical systems are disclosed. In preferred embodiments, selective. pi. /2,. pi. , and refocusing hard and soft pulses are constructed for perturbing the spins of the system. In NMR imaging, for example, the desired magnetization is written as an (N+1)th order Fourier series in. omega. t, where. omega. is the off-resonance frequency. In addition, if all pulses have the same phase, then the z magnetization is known to be symmetric in frequency, and the resulting hard pulse sequence can be written as an Nth order Fourier cosine series. Given this Fourier series representing the desired z magnetization, an inversion may be used to determine the hard pulse sequence of N pulses which will actually yield the desired response. In particular, if one starts with a specification of a desired z magnetization not as a Fourier series in. omega. t, but rather as having certain desired values over several frequency ranges, the techniques of finite impulse response filters may be applied to yield the desired Fourier series representing the z and xy magnetizations.