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The relaxation times T1 and T2 are inserted to represent the various effects of interaction with lattice, spontaneous emission, and exchange between maser molecules. These are discussed further in Secs. 3 and 5.
R. P. Feynman, F. L. Vernon, and R. W. Hellwarth, J. Appl. Phys. 28, 49 (1957).
R when not a vector and also when used without subscripts represents optical pumping.
This point needs to be investigated further. This is not to say that R2 is actually of a sinusoidal spatial nature but what is meant is that the effective R2 is of this nature and departures of R2 from this dependence do not lead to emission which contributes to the excitation of this particular cavity mode.
T1 represents te relaxation due to interaction with lattice as well as the action of spontaneous emission. In addition to these two relaxational mechanisms, T2 represents also the interaction between maser molecules, i.e., an exchange effect which is, however, negligible for low concentrations of these molecules.