Open AccessNMR and the uncertainty principle: How to and how not to interpret homogeneous line broadening and pulse nonselectivity. II. The Fourier connection
Author(s) -
Szántay Csaba
Publication year - 2008
Publication title -
concepts in magnetic resonance part a
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.229
H-Index - 49
eISSN - 1552-5023
pISSN - 1546-6086
DOI - 10.1002/cmr.a.20102
Subject(s) - fourier transform , homogeneous , monochromatic color , context (archaeology) , uncertainty principle , excitation , theoretical physics , bandwidth (computing) , pulse (music) , computer science , physics , optics , quantum mechanics , statistical physics , telecommunications , paleontology , detector , biology , quantum
By building on the nomenclature introduced and the fundamental ideas discussed in Part I, I now continue my preliminary review of the basic concepts we need for exploring the issues surrounding the uncertainty principles in the context of our “Two NMR Problems” (namely: both the essense of homogeneous NMR line broadening, as well as the fact that a short monochromatic RF pulse exhibits a polychromatic spectral bandwidth, and consequently gives a broad off‐resonance NMR excitation band, are often rationalized in terms of a superficial and/or misguided use of the “uncertainty principle”). To that end, in Part II, I discuss Fourier theory in a way that is hoped to offer a number of delicate, important, and interesting insights that are usually not readily available from more conventional texts. © 2008 Wiley Periodicals, Inc. Concepts Magn Reson Part A 32A: 1–33, 2008.