Amplification factor of echo signals in ferrimagnetic materials

It is known that spin echoes in ferrimagnetic materials can only be excited on the application of high-power microwave signals. The amplification factor of spin echoes is calculated for ferrimagnetic materials; long-range dipolar field, external RF-field couplings, and magnetization relaxations are included in the calculations. The inclusion of such interactions provides a mechanism by which realistic amplification of echoes may be calculable. The theoretical estimate of amplification is in reasonable agreement with previous experiments. Thus, the effects of carrier frequency, field gradient, and microwave power on echo amplification are calculated