2005
DOI: 10.1103/physreve.72.046611
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Connection between electric and magnetic coherence in free electromagnetic fields

Abstract: We introduce quantitative measures for the description of the electric and magnetic coherence in a stationary, random electromagnetic field at two points, in a volume, and in the Fourier space. These quantities are applied to free electromagnetic fields, and several theorems regarding the relationship between the two types of coherences in such fields are established. Fields which are statistically homogeneous, and those which, in addition, are statistically isotropic are considered separately. Furthermore, th… Show more

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Cited by 11 publications
(9 citation statements)
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“…The huge sharp changes in the sign of the force at a given distance z/λ are clearly seen. For a statistically homogeneous source, the electric and magnetic cross-spectral density tensors fulfill [47] Figure 4 depicts the range of wavelengths where the magnetic dipole predominates over the electric one. In the near field, where the electric (magnetic) force is solely due to the evanescent modes, the weight of such force is due to the response of the nanoparticle through its proportionality to the real part of the electric (magnetic) polarizability.…”
Section: A Results For a Silicon Sphere Forces From The Primary Sourcementioning
confidence: 99%
“…The huge sharp changes in the sign of the force at a given distance z/λ are clearly seen. For a statistically homogeneous source, the electric and magnetic cross-spectral density tensors fulfill [47] Figure 4 depicts the range of wavelengths where the magnetic dipole predominates over the electric one. In the near field, where the electric (magnetic) force is solely due to the evanescent modes, the weight of such force is due to the response of the nanoparticle through its proportionality to the real part of the electric (magnetic) polarizability.…”
Section: A Results For a Silicon Sphere Forces From The Primary Sourcementioning
confidence: 99%
“…Quite recently a degree of electromagnetic coherence was introduced as the maximum fringe visibflity in Young's experiment with reversible optical transformations by Gori and co-workers [34]. Much research has recenfly also focused on the so-called effective (or overafl) degree of coherence of random electromagnetic fields [35,36,37], which appears to be a useful concept in many practical situations.…”
Section: Partial Coherence In Electromagnetic Fieldsmentioning
confidence: 98%
“…The full electromagnetic coherence matrix would also admit a CMD, as it fulfills the same criteria as the electric and magnetic coherence matrices. However, the expansion coefficients would no longer, in general, be connected to the electric and magnetic degrees of coherence via (18), but rather to a quantity measuring the coherence within and between the electric and magnetic fields. This quantity does not have an immediate understanding in terms of measurable quantities, whereas the electric and magnetic degrees of coherence possess a known physical interpretation as a measure of the intensity and polarization-state modulations in Youngʼs double slit diffraction setup [25,26].…”
Section: Cmd Of Partially Polarized Fieldsmentioning
confidence: 99%
“…In this section, we consider free electromagnetic fields, i.e., fields which consist of propagating plane waves only [18,[33][34][35]. Physically, this means that all field sources are not only outside any volume of interest (not necessarily spherical), but also very far away from it.…”
Section: Free Electromagnetic Fieldsmentioning
confidence: 99%
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