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2. Corresponding research between time-harmonic field and complex field

The corresponding relationship between real(imaginary) part of the first order quantity and time harmonic field is the foundation of the complex time harmonic field.This theory has extensive use due to its simple representation.However the complex of the second order quantity theory can not be derived from energy theorem in general use[6] and the complex Poynting theorem has not been mentioned in many references.The complex form of second order quantity theory is presented in detail in this paper,which makes a stability foundation for the complex form of Poynting,Foster and Lorentz theorem.