Technique to Solve Blochs Equation in a Rotating Frame Using Fourier-Series Expansion

MATRIX TECHNIQUE TO SOLVE BLOCH S EQUATIONS IN A ROTATING FRAME USING FOURIER-SERIES EXPANSION 

In order to compare the signal induced in a pickup coil with the continuous wave signal detected in a resonator, one needs to find a common route towards the solution of the Bloch equations. The asymptotic solutions described in the preceding section are not applicable to the case in which the cw-EPR resonator is used. As an alternative, one may use a matrix technique. 

The Fourier-series expansion of magnetic moments and m in terms of mag- 

The moments of magnetization can be evaluated by the use of an appropriate matrix technique, which is described below. They can then be used to calculate the signals induced in a pickup coil, and the parallel and perpendicular components of the cw-EPR signals in a resonator. 

In order to solve Bloch s equations using the matrix technique one introduces expansions (12) and (13) into Bloch equations (5) and (6), respectively. Using the relation cos f2t=%(e +e ) and comparing the coefficients of e on the two 

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