We have developed a time-domain simulation of twowe show how gradients may be incorporated. Requirements for dimensional Fourier imaging in which the signal is represented by a isochromat spacing and number are then discussed. We avoid finite Fourier series. Each term corresponds to a spin isochromat use of the imaging equation; k-space amplitudes are computed and has a coefficient that evolves in response to radiofrequency and explicitly from the definition of the sample to be imaged and the gradient pulses, and periods of free precession. An explicit calculation pulse sequence. Finally, we demonstrate the method for twois performed to derive the number of isochromats required to achieve dimensional spin warp and Burst imaging.
a specified degree of precision, permitting accurate results to be obtained in an efficient fashion. With this, the time-domain signal throughout the entire experiment is calculated. The resulting time domain data is combined into the standard k-space matrix and yields
II. OUTLINE OF SPECTROSCOPIC CALCULATION [1]
an image after two-dimensional Fourier transformation. Multiple-shot
As in a traditional spectroscopy experiment, spatial variation of sequences such as spin warp and single-shot experiments such as the sample is neglected. The frequency distribution of isochro-Burst are simulated in the same fashion. Our procedure makes no mats making up the sample is denoted f (n), where n denotes assumptions about transverse dephasing between pulses, so that complicated sequences of direct and stimulated echoes are correctly frequency. The evolution of isochromat magnetization due to the modeled. The influence of spin-spin and spin-lattice relaxation is nth hard pulse, of flip angle u and phase x, is approximated by included in a natural way. A number of artifacts can be quantitatively reproduced.