Linear amplifier and the coherent states superpositions

The s-parameterized characteristic function (CF) is given for the output fi eld from a linear amplifier with the superposition of CS's as input field. The s-parameterized quasi-probability distribution function (QDF) for the o utput field with superposition of CS's as input state is investigated. Vari ous moments are calculated by using the s-parameterized CF for that field. The autocorrelation second-order coherence function is calculated and numer ically investigated. The quadratures squeezing for the output held are disc ussed. Some QDF's of the output fields are plotted as functions of the inte raction time. The phase properties of the superposition of CS's are studied and numerically investigated. The s-parameterized phase distribution obtai ned by integrating the s-parameterized QDF over the radial variable is illu strated.