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Related Experiment Videos

Universal structure of field correlations within a fluctuating medium.

Sergey A Ponomarenko1, Emil Wolf

  • 1Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 22, 2002
PubMed
Summary

We derived a formula for wave field coherence in dissipative media. For small dissipation and isotropic sources, coherence relates to the Green's function in 2D and 3D, but not 1D.

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Area of Science:

  • Wave phenomena
  • Statistical optics
  • Mathematical physics

Background:

  • Scalar wave fields are crucial in various physical systems.
  • Understanding wave field coherence is essential for characterizing wave propagation.
  • Dissipative media and stationary sources introduce complexities in wave analysis.

Purpose of the Study:

  • To analyze the structure of the second-order correlation function for scalar wave fields.
  • To derive a closed-form analytical expression for the spectral degree of coherence.
  • To investigate the relationship between coherence, medium properties, and source characteristics.

Main Methods:

  • Analysis of the second-order correlation function.
  • Derivation of analytical expressions for spectral degree of coherence.

Related Experiment Videos

  • Investigation of wave fields in homogeneous dissipative media with stationary sources.
  • Main Results:

    • A closed-form analytical expression for the spectral degree of coherence was derived.
    • In low-dissipation and isotropic source conditions, coherence is proportional to the imaginary part of the Green's function.
    • This universal form of coherence was demonstrated for 2D and 3D fields, but not 1D.

    Conclusions:

    • The study reveals a universal relationship between wave field coherence and the Green's function under specific conditions.
    • The findings are applicable to scalar wave fields in 2D and 3D dissipative media.
    • The dimensionality of the field plays a critical role in the nature of spatial coherence.