Open AccessNUMERICAL CALCULATION TO THE EULER ANGLES FOR A SHAPED SELECTIVE PULSE
Author(s) -
Jianrong Zhou,
Liyun Li,
Chaohui Ye
Publication year - 1996
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.45.1107
Subject(s) - euler angles , quaternion , euler's formula , rotation (mathematics) , pulse (music) , simple (philosophy) , operator (biology) , physics , optics , mathematical analysis , geometry , mathematics , quantum mechanics , philosophy , biochemistry , chemistry , epistemology , repressor , detector , transcription factor , gene
Basing on the three Euler angles, the rotation operator approach is efficient to describe spin dy-namics of arbitrary shaped selective pulse. In this paper, a quaternion is employed so that the product of rotations is well performed. Hence a simple method is given for the calculation of the Euler angles for shaped pulses.