Van de Hulst essay: Multiple scattering of waves by discrete scatterers and rough surfaces

Tsang, Leung

doi:10.1016/j.jqsrt.2018.10.041

Cited by 5 publications

(8 citation statements)

References 104 publications

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“…In this article, we are mainly dedicated to these interference effects that influence the mesoscopic radiative properties of DDM, especially the dependent scattering effect. And we also would like to emphasize that, throughout this article, RTE and radiative transfer (RT) are different concepts, as mentioned by many other authors [17,91]. The RTE is only a phenomenological equation that only considers the transport of energy bundles without wave effects, while all the physical processes of wave propagation in disordered media governed by Maxwell's equations are implied when we speak of RT.…”

Section: Radiative Propertiesmentioning

confidence: 91%

“…However, when one or both of the above far-field and independent-scatterer conditions is violated, the scattered waves from different scatterers can interfere with each other substantially, leading to the failure of ISA [18,20]. In practice, ISA breaks down for a variety of micro/nanoscale DDM, in which the volume fraction of scatterers (voids, particles or generally, permittivity fluctuations) exceeds 5% [91,97]. In these media, the distance between adjacent scatterers is usually comparable to or even smaller than the wavelength of radiation, and leads to remarkable interference effects of scattered electromagnetic waves from different scatterers.…”

Section: Independent Dependent and Multiple Scatteringmentioning

confidence: 99%

“…For more details on irreducible and reducible diagrams, see Refs. [13,14,91]. For a statistically homogeneous medium having translational symmetry after ensemble average, Σ(p, p ) = Σ(p)δ(p − p ) and G(p, p ) = G(p) δ(p − p ) [15].…”

Section: Dyson Equationmentioning

confidence: 99%

“…[13,14,14,192,193] and thus are not shown here. For a historical review about the relationship between the analytic wave theory and the RTE, see the Van de Hulst essay paper by Tsang [91]. Remarkably, Doicu and Mishchenko presented a series of reviews to describe how to derive the RTE from Maxwell's equations using different methods and discuss relevant interference effects [86,[103][104][105][106][107], including the far-field Foldy-Lax equations [103] and the analytic wave theory (or directly dubbed "Dyson and BetheSalpeter equations") [104].…”

Section: Radiative Transfer Equationmentioning

confidence: 99%

“…In this manner, the numerical techniques to solve the RTE in large-scale disordered media can be exploited, which is very valuable in practice. For instance, the dense media radiative transfer theory (DMRT), developed by Tsang and coworkers [14,89,91] in the spirit of this postulation, has been widely applied in the field of microwave remote sensing for the prediction of radiative transfer in dense media like terrestrial snow with densely packed ice grains, whose validity has been confirmed by extensive experimental measurements [198][199][200][201]. As a consequence, this postulation is also viable in many other practical applications like thermal engineering where moderate-refractive index materials are used, usually away from electromagnetic resonances 9 .…”

Section: Radiative Transfer Equationmentioning

confidence: 99%

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The dependent scattering effect on radiative properties of micro/nanoscale discrete disordered media

Wang,

Zhao

2020

Preprint

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The dependent scattering effect (DSE), which arises from the wave nature of electromagnetic radiation, is a critical mechanism affecting the radiative properties of micro/nanoscale discrete disordered media (DDM). In the last a few decades, the approximate nature of radiative transfer equation (RTE) leads to a plethora of investigations of the DSE in various DDM, ranging from fluidized beds, photonic glass, colloidal suspensions and snow packs, etc. In this article, we give a general overview on the theoretical, numerical and experimental methods and progresses in the study of the DSE. We first present a summary of the multiple scattering theory of electromagnetic waves, including the analytic wave theory and Foldy-Lax equations, as well as its relationship with the RTE. Then we describe in detail the physical mechanisms that are critical to DSE and relevant theoretical considerations as well as numerical modeling methods. Experimental approaches to probe the radiative properties and relevant progresses in the experimental investigations of the DSE are also discussed. In addition, we give a brief review on the studies on the DSE and other relevant interference phenomena in mesoscopic physics and atomic physics, especially the coherent backscattering cone, Anderson localization, as well as the statistics and correlations in disordered media. We expect this review can provide profound and interdisciplinary insights to the understanding and manipulation of the DSE in disordered media for thermal engineering applications.

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Section: Radiative Propertiesmentioning

confidence: 91%

Section: Independent Dependent and Multiple Scatteringmentioning

confidence: 99%

Section: Dyson Equationmentioning

confidence: 99%

Section: Radiative Transfer Equationmentioning

confidence: 99%

Section: Radiative Transfer Equationmentioning

confidence: 99%

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The dependent scattering effect on radiative properties of micro/nanoscale discrete disordered media

Wang,

Zhao

2020

Preprint

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Particle Size Inversion from Spectrally Resolved Full-Field Forward Scattering

Báez-Chorro,

Vidal

2023

Anal. Chem.

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Ensemble particle sizing has traditionally relied on inversion of extinction measurements for the characterization of the particle size distribution (PSD) in particulate media. However, particulate media induce complex phase changes that contain valuable information about their structure. Here, we propose the use of coherent detection to derive particle size distributions in inhomogeneous samples from light scattering. This is achieved by exploiting THz waves, which allow for both extinction and refractive index information to be directly retrieved. A modified version of the iterative Twomey method is presented in order to take into account this information. Additionally, by using a forward model based on the Waterman–Truell formula for the complex refractive index, samples with absorption in both the matrix medium and the particulate phase can be measured. The inversion needs neither a priori assumptions nor constraints regarding the PSD shape. Numerical simulations show that this full-field approach reduces the error of the inversion process potentially up to 65% compared with inversion using only extinction data. Experimental validation of the technique is provided by measuring calibrated spherical glass particles inside a PTFE matrix and retrieving the PSD in the case of monodisperse and polydisperse samples showing an enhancement of up to 32% in comparison to inversion from extinction data.

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Angular Patterns of Bistatic Scattering From Gamma-Distributed Rough Surfaces

Yang,

Chen

2024

IEEE Trans. Geosci. Remote Sensing

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Van de Hulst essay: Multiple scattering of waves by discrete scatterers and rough surfaces

Cited by 5 publications

References 104 publications

The dependent scattering effect on radiative properties of micro/nanoscale discrete disordered media

The dependent scattering effect on radiative properties of micro/nanoscale discrete disordered media

Particle Size Inversion from Spectrally Resolved Full-Field Forward Scattering

Angular Patterns of Bistatic Scattering From Gamma-Distributed Rough Surfaces

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