• Cumulant functions in optical coherence theory

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    • Keywords

       

      Cumulant functions; optical coherence; Marcinkiewicz theorem

    • Abstract

       

      Cumulant functions are introduced to describe the statistical state of a radiation field. These functions are simply related to the optical coherence functions but have some interesting features. It is shown that if the cumulant functions of all orders greater than some numberN0 vanish then they also vanish for all orders greater than 2. Thermal field is the only field having this property. This property holds whether the field is described by a classical stochastic process or by a quantum density operator. Further the particular operator ordering used in defining these cumulant functions for the quantized field affects only the second order cumulant function. To describe the statistical state of a vector field such as partially polarized or unpolarized radiation, one would need to introduce cumulant tensors.

    • Author Affiliations

       

      CL Mehta1 2

      1. Physics Department, West Virginia University, Morgantown, WV - 26506-2063, USA
      2. Physics Department, Indian Institute of Technology, New Delhi - 110016, India
    • Dates

       
  • Pramana – Journal of Physics | News

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