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In a Lambda-type system employing a two-photon pump field, a four-wave mixingfield can be generated simultaneously and hence a closed-loop system forms. Westudy theoretically on the effect of the relative phase between the twoincident fields on the generated four-wave mixing field and theelectromagnetically induced transparency. It is found that the phase of thegenerated four-wave mixing field is a sum of the incident relative phase and afixed phase which is irrelative to the incident relative phase. Hence the totalphase of the closed-loop system is independent of the incident relative phase.As a result, the incident relative phase has no effect on electromagneticallyinduced transparency, which is different from the case of a Lambda-type loopsystem closed by a third incident field.Comment: 7 pages, and has been reported in the 10th International Conference  of Quantum Optics, Minsk, 2004. Content is revise

The Effect of the Incident Relative Phase on the Four-Wave Mixing Field and the Electromagnetically Induced Transparency