Abstract

A solution of the Bloch equations for the components of the magnetization under the influence of an oscillating field modulation is presented. It is shown that in a suitable rotating frame the problem is reduced to solving a set of linear differential equations having constant coefficients. It is shown that in the presence of modulation the microwave field amplitude b must be replaced by the quantity J 0(Ω m /ω s )b , where J 0 is the zero-order Bessel function and Ω m and ω s are the modulation amplitude and frequency, respectively. The consequence of this correction on the observation of wiggles in the time evolution of the signal and on the measurement of T 2 in the limit T1 ⪢ T2 is also discussed.

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