Formation Mechanisms of Single-Pulse and Secondary Echoes in Systems with a Large Inhomogeneous Broadening of NMR Lines

In the frames of Mims transformation matrix method the equation for nuclear magnetization are obtained describing the dynamics of nuclear spin-systems with a strong Larmor and Rabi inhomogeneous broadenings of NMR line in conditions of their unequlibrium earlier obtained by the statistical tensors method. As example, properties of proton single-pulse echo and its secondary signals in probe material (silicon oil) coated on the surface of high-Tc superconducting-oxides powder and in metallic hydride are presented.