Far-zone behavior of electromagnetic fields generated by fluctuating current distributions

Carter, William H.; Wolf, Emil

doi:10.1103/physreva.36.1258

Cited by 30 publications

(8 citation statements)

References 11 publications

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“…(4.4) runs over the directions of the s-vector determined by the condition s 2 x þ s 2 y 1, with s x ; s y À Á the Cartesian components of the s-vector on the AP, because this theory concerns the propagation of free stationary random electromagnetic fields, which do not contain evanescent waves, but only the propagating waves of the low-frequency component (Carter and Wolf, 1975, 1977, 1987. (4.1).…”

Section: The Optics Of Spatial Coherence Waveletsmentioning

confidence: 99%

The Optics of Spatial Coherence Wavelets

Castañeda¹

2010

Advances in Imaging and Electron Physics

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Section: The Optics Of Spatial Coherence Waveletsmentioning

confidence: 99%

The Optics of Spatial Coherence Wavelets

Castañeda¹

2010

Advances in Imaging and Electron Physics

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“…We consider electric and magnetic fields in the far zone from the source, at which the position is expressed as Ru, where u is a unit vector pointing outward. After imposing this condition on the electric and the magnetic fields, these fields can be expressed as [7,14] …”

Section: Spectra Of the Source And The Radiated Fieldmentioning

confidence: 99%

Energy conservation in partially coherent wave fields from polarization and magnetization

Bak

Kim

2010

Phys. Rev. A

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We present the full expression for energy conservation for partially coherent electromagnetic fields from the randomly fluctuating and statistically stationary magnetic as well as electric sources. While the polarization gives the dominant effect in most realistic situations, magnetization could also give a non-negligible effect in various physical situations where the magnetic field is strong. The formula we derive contains terms not only from electric and magnetic sources alone but also from the interference between them. We also confirm that this conservation is valid for correlation-induced spectral changes as was proved in the previous study for the electric source alone.

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“…Since the field in our example is fully coherent, we must conclude that the quantity ζ (or its space-frequency analog discussed in Refs. [15][16][17]) does not correctly describe the spatial coherence properties of the field and thus it cannot be called the degree of coherence for the electromagnetic field. However, ζ still has the clear physical meaning that it is directly connected to the visibility of electromagnetic interference fringes.…”

Section: Young's Interference Experiments and Measures Of Visibilitymentioning

confidence: 99%

Degree of coherence for electromagnetic fields

Tervo¹,

Setälä²,

Friberg³

2003

Opt. Express

337

176

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The relationship between the visibility of fringes and the degree of spatial coherence in electromagnetic two-pinhole interference is assessed. It is demonstrated that the customary definition of the degree of coherence of an electromagnetic field is flawed and a new quantity, free of the formal drawbacks, is introduced. The new definition, which is shown to be consistent with known results for Gaussian statistics, has some unusual properties characteristic only for electromagnetic fields. The degree of coherence is measurable by a sequence of interference experiments.

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Far-zone behavior of electromagnetic fields generated by fluctuating current distributions

Cited by 30 publications

References 11 publications

The Optics of Spatial Coherence Wavelets

The Optics of Spatial Coherence Wavelets

Energy conservation in partially coherent wave fields from polarization and magnetization

Degree of coherence for electromagnetic fields

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