Fresnel Double Scattering From Tree Branches

Zhao, Qianyi; Lang, Roger H.

doi:10.1109/tgrs.2012.2186583

Cited by 11 publications

(5 citation statements)

References 28 publications

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“…The transverse integrations contribute a 2 m , and the remaining integrations in Equation (38) are along the symmetry axes of the respective cylinders,…”

Section: Finite Length Thin Cylindersmentioning

confidence: 99%

“…Relative to the exact formula of Equation (37) derived in the previous section, the dyadic Green's function G 1 in Equation (38) will be modified to be simpler in terms of computational complexity, but perform approximately the same as the exact Green's function in the Fresnel region. The region over which the approximation becomes significant is discussed in Section 6.…”

Section: Fresnel Green's Functionmentioning

confidence: 99%

“…ik 0ô 21 and R % s 21 in the amplitude term. According to Equation (22) with the appropriate argument in G 1 from Equation (38), the phase term is (neglecting the factor k 0 )…”

Section: Fresnel Green's Functionmentioning

confidence: 99%

“…Zhao and Lang [37,38] explored coherent double scattering from a pair of lossy finite cylinders computed by the discrete dipole approximation. The complete backscattering response was compared to the numerical Fresnel double scattering (FDS) approximation (the coherent sum of the first-and second-order scattering terms where the scatterers are in the Fresnel range of each other).…”

Section: Introductionmentioning

confidence: 99%

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A successive scattering methodology with application to two cylinders in the Fresnel region of each other

Hooker

Lang

2012

Waves in Random and Complex Media

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We present an efficient approach to compute the second-order scattering of an electromagnetic wave by two discrete scatterers in proximity to each other. Such a two-body system represents the simplest canonical arrangement to address near-field volume scattering phenomena in microwave remote sensing models of vegetation. Using an analytical wave-based approach, a successive scattering methodology is employed to derive the first interaction term in multiple scattering by two arbitrary scatterers in terms of their transition operators. The general formulation is applied to find the second-order bistatic scattering amplitude for a pair of finite length thin cylinders at arbitrary interaction distances using the exact Green's function. To improve computational efficiency, the solution is then specialized to the Fresnel region. These second-order bistatic scattering amplitude results are in agreement with the exact Green's function model when the scatterers are in the Fresnel region of each other. Additionally, it is demonstrated that using the far field approximation in the Fresnel region can yield significant deviations from the exact results. The Fresnel model, unlike the far field approximation, accurately predicts the scattering amplitude peak values and null locations, and is suited to fast solutions in realistic canopy simulations.

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“…The transverse integrations contribute a 2 m , and the remaining integrations in Equation (38) are along the symmetry axes of the respective cylinders,…”

Section: Finite Length Thin Cylindersmentioning

confidence: 99%

Section: Fresnel Green's Functionmentioning

confidence: 99%

“…ik 0ô 21 and R % s 21 in the amplitude term. According to Equation (22) with the appropriate argument in G 1 from Equation (38), the phase term is (neglecting the factor k 0 )…”

Section: Fresnel Green's Functionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A successive scattering methodology with application to two cylinders in the Fresnel region of each other

Hooker

Lang

2012

Waves in Random and Complex Media

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“…more sophisticated approaches are currently being developed to account for multiple scattering, in particular over forested areas [4][5][6][7] , there is still little consensus about the effects of vegetation interception and litter on observed brightness temperature, which remains difficult to be addressed by studies based on space-borne observations from passive microwave satellite data 8 . As an example, soil moisture retrieval using both SMAP vertical and horizontal polarization does not outperform the use of single vertical polarization 9 .…”

mentioning

confidence: 99%

Multiyear in-situ L-band microwave radiometry of land surface processes on the Tibetan Plateau

Wen

Zeng

et al. 2020

Sci Data

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We report a unique multiyear L-band microwave radiometry dataset collected at the Maqu site on the eastern Tibetan Plateau and demonstrate its utilities in advancing our understandings of microwave observations of land surface processes. The presented dataset contains measurements of L-band brightness temperature by an ELBARA-III microwave radiometer in horizontal and vertical polarization, profile soil moisture and soil temperature, turbulent heat fluxes, and meteorological data from the beginning of 2016 till August 2019, while the experiment is still continuing. Auxiliary vegetation and soil texture information collected in dedicated campaigns are also reported. This dataset can be used to validate the Soil Moisture and Ocean Salinity (SMOS) and Soil Moisture Active Passive (SMAP) satellite based observations and retrievals, verify radiative transfer model assumptions and validate land surface model and reanalysis outputs, retrieve soil properties, as well as to quantify land-atmosphere exchanges of energy, water and carbon and help to reduce discrepancies and uncertainties in current Earth System Models (ESM) parameterizations. Measurement cases in winter, pre-monsoon, monsoon and post-monsoon periods are presented.

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Polarimetric scattering from inhomogeneous dielectric cylinders of arbitrary finite length

Yang

Liu

Shi

et al. 2016

2016 IEEE International Geoscience and Remote Sensing Symposium (IGARSS)

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Fresnel Double Scattering From Tree Branches

Cited by 11 publications

References 28 publications

A successive scattering methodology with application to two cylinders in the Fresnel region of each other

A successive scattering methodology with application to two cylinders in the Fresnel region of each other

Multiyear in-situ L-band microwave radiometry of land surface processes on the Tibetan Plateau

Polarimetric scattering from inhomogeneous dielectric cylinders of arbitrary finite length

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