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Connection between electric and magnetic coherence in free electromagnetic fields
T Jouttenus1, T Setälä, M Kaivola
1Department of Engineering Physics and Mathematics, Helsinki University of Technology, P.O. Box 3500, FI-02015 HUT, Finland.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 31, 2005
Summary
This study introduces new ways to measure electric and magnetic coherence in random electromagnetic fields. It establishes theorems relating these coherences for free fields, including homogeneous and isotropic cases.
Area of Science:
- Physics
- Electromagnetism
- Quantum Optics
Background:
- Understanding electromagnetic fields is crucial in physics.
- Coherence properties describe the wave-like nature of fields.
- Quantifying electric and magnetic coherence is essential for advanced applications.
Purpose of the Study:
- To introduce quantitative measures for electric and magnetic coherence.
- To analyze these measures in stationary, random electromagnetic fields.
- To establish theorems on the relationship between electric and magnetic coherence.
Main Methods:
- Development of quantitative measures for coherence.
- Application of these measures to free electromagnetic fields.
- Analysis of statistically homogeneous and isotropic fields.
Main Results:
- Quantitative measures for electric and magnetic coherence are introduced.
- Theorems relating electric and magnetic coherence in free fields are established.
- Specific examples for statistically homogeneous fields are provided.
Conclusions:
- The study provides a framework for quantifying electric and magnetic coherence.
- The established theorems offer new insights into electromagnetic field properties.
- The findings are applicable to various statistical field conditions.