By surveying the time evolution of the atomic dipole squeezing and amplitude squared squeezing, the two mode field second order squeezing and higher order squeezing in a generalizeded two mode Jaynes Cummings model, the relations between atomic dipole squeezing and second order squeezing in the radiation field are studied. The relations between atomic amplitude squared squeezing and higher order squeezing in the radiation field are discussed. The properties of the transformation between atomic dipole squeezing and field squeezing are explored.