Radiometry and far-zone polarization for partially coherent electromagnetic planar sources

Östlund, Petter; Friberg, Ari T.

doi:10.1016/s0030-4018(01)01407-9

Cited by 10 publications

(8 citation statements)

References 17 publications

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“…The procedure to define such tensors is simple: It consists of extending the relationship between the cross-spectral density and the scalar generalized radiance (Marchand and Wolf, 1974) to the tensor formulation. This procedure overcomes important limitations of models previously proposed (Foley and Nieto-Vesperinas, 1985;Leader, 1978;Luis, 2005;Martínez-Herrero and Mejías, 1984;Ö stlund and Friberg, 2001)-mainly that the generalized radiance tensors allow assessment of all the correlations between the Cartesian components of the electric and magnetic field vectors and are carried via propagation by the electromagnetic spatial coherence wavelets (Castañ eda, 2006;. So, they provide a unified framework for completely describing the energy flux and the states of spatial coherence and polarization of random electromagnetic fields.…”

Section: Tensor Wavelets and Electromagnetic Fieldsmentioning

confidence: 91%

“…Despite the effort devoted to representing the electromagnetic radiance by means of a scalar quantity (Foley and Nieto-Vesperinas, 1985;Luis, 2005;Martínez-Herrero and Mejías 1984;Ö stlund and Friberg, 2001), conferring a tensor structure to the generalized radiance is a simpler mathematical strategy, which extends the well-established concepts of scalar generalized radiometry to electromagnetic The Optics of Spatial Coherence Wavelets radiometry by separately assessing all the electric and magnetic correlations of the stationary random electromagnetic field emitted at the AP. Despite the effort devoted to representing the electromagnetic radiance by means of a scalar quantity (Foley and Nieto-Vesperinas, 1985;Luis, 2005;Martínez-Herrero and Mejías 1984;Ö stlund and Friberg, 2001), conferring a tensor structure to the generalized radiance is a simpler mathematical strategy, which extends the well-established concepts of scalar generalized radiometry to electromagnetic The Optics of Spatial Coherence Wavelets radiometry by separately assessing all the electric and magnetic correlations of the stationary random electromagnetic field emitted at the AP.…”

Section: The Electric and Magnetic Generalized Radiance Tensorsmentioning

confidence: 99%

“…with the wavelength l ¼ c=n and c the light speed in vacuum(Ö stlund and Friberg, 2001). with the wavelength l ¼ c=n and c the light speed in vacuum(Ö stlund and Friberg, 2001).…”

mentioning

confidence: 99%

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The Optics of Spatial Coherence Wavelets

Castañeda¹

2010

Advances in Imaging and Electron Physics

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Section: Tensor Wavelets and Electromagnetic Fieldsmentioning

confidence: 91%

Section: The Electric and Magnetic Generalized Radiance Tensorsmentioning

confidence: 99%

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The Optics of Spatial Coherence Wavelets

Castañeda¹

2010

Advances in Imaging and Electron Physics

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“…For radiometry of radiation, we concentrate on the mixed cross-spectral density tensor since it has a close bearing on the Poynting vector. From (15), the mixed tensor is given by (17) where the symbol operates on the vector on its right according to coordinates and the symbol operates on the vector on its left according to coordinates . is the unit dyadic.…”

Section: Formulation Of a Vectorial Coherent Sourcementioning

confidence: 99%

“…For example, the degree of light polarization in the FF can be fully characterized by the source coherence function [11], [17]. Additionally, light emission within the sub-wavelength range from random media [18] and light scattering from random surfaces [19] exemplify other applications of the coherence theory.…”

Section: Introductionmentioning

confidence: 99%

Application of Coherence Theory to Modeling of Blackbody Radiation at Close Range

Walker

2015

IEEE Trans. Microwave Theory Techn.

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We apply coherence-propagation theory to model the radiation generated by a planar passive thermal source of any state of coherence. Of our particular interest is the blackbody calibration source with partially coherent characteristic that produces the radiant intensity with its angular distribution following Lambert's cosine law in the far field. A closed-form expression of the Poynting vector of the electromagnetic field is obtained from the theoretical framework. The formulation links the radiation field to the correlation function of the sources in a straightforward manner, though numerical computation of the Poynting vector involves evaluation of a quadruple integral and is difficult to implement directly, especially when the observation of radiation occurs at a close distance from the source. The study of the close-range radiation would, in particular, benefit the microwave remote sensing radiometric calibration that is encountered in terrestrial laboratories and spaceborne satellites. To tackle the challenges in numerical calculation, we have made a few mathematical adjustments to develop a feasible scheme for improved computational efficiency, including reformulation in the angle-impact notation and various simplifications of the integration. We apply the theory and numerical techniques to simulate thermal radiation in some illustrative examples such as an isothermal blackbody source, a blackbody misaligned from the on-axis position, and a nonuniformly heated blackbody target. The coherence property of the blackbody source is shown to possess influential impacts on the radiation arising from such a source, especially in the near-field range where most measurements of the radiation take place in a practical system. The theory and technical approaches provide a systematic and reliable way to quantify the Poynting vector radiated by the blackbody source in a microwave remote-sensing radiometer.

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A Next-Generation Hard X-Ray Nanoprobe Beamline for In Situ Studies of Energy Materials and Devices

Mäser

Lai

Buonassisi

et al. 2013

Metall Mater Trans A

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The Advanced Photon Source is developing a suite of new X-ray beamlines to study materials and devices across many length scales and under real conditions. One of the flagship beamlines of the APS upgrade is the In Situ Nanoprobe (ISN) beamline, which will provide in situ and operando characterization of advanced energy materials and devices under varying temperatures, gas ambients, and applied fields, at previously unavailable spatial resolution and throughput. Examples of materials systems include inorganic and organic photovoltaic systems, advanced battery systems, fuel cell components, nanoelectronic devices, advanced building materials and other scientifically and technologically relevant systems. To characterize these systems at very high spatial resolution and trace sensitivity, the ISN will use both nanofocusing mirrors and diffractive optics to achieve spots sizes as small as 20 nm. Nanofocusing mirrors in Kirkpatrick-Baez geometry will provide several orders of magnitude increase in photon flux at a spatial resolution of 50 nm. Diffractive optics such as zone plates and/or multilayer Laue lenses will provide a highest spatial resolution of 20 nm. Coherent diffraction methods will be used to study even small specimen features with sub-10 nm relevant length scale. A high-throughput data acquisition system will be employed to significantly increase operations efficiency and usability of the instrument. The ISN will provide full spectroscopy capabilities to study the chemical state of most materials in the periodic table, and enable X-ray fluorescence tomography. In situ electrical characterization will enable operando studies of energy and electronicdevices such as photovoltaic systems and batteries. We describe the optical concept for the ISN beamline, the technical design, and the approach for enabling a broad variety of in situ studies. We furthermore discuss the application of hard X-ray microscopy to study defects in multi-crystalline solar cells, one of the lines of inquiries for which the ISN is being developed.

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Radiometry and far-zone polarization for partially coherent electromagnetic planar sources

Cited by 10 publications

References 17 publications

The Optics of Spatial Coherence Wavelets

The Optics of Spatial Coherence Wavelets

Application of Coherence Theory to Modeling of Blackbody Radiation at Close Range

A Next-Generation Hard X-Ray Nanoprobe Beamline for In Situ Studies of Energy Materials and Devices

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