Fresnel field interaction applied to scattering from a vegetation layer

Fung, A.K.; Chen, M.F.; Lee, K.K.

doi:10.1016/0034-4257(87)90069-1

Cited by 12 publications

(7 citation statements)

References 12 publications

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“…In [9], the expression of |r−r | ≈ r−ŝ ·r + r 2 2r was considered in the exponential term and the approximation in (7) was used for the denominator term.…”

Section: Fresnel Zone Considerationmentioning

confidence: 99%

“…Since r 2 = r 1 , equation (9) can be simplified to give a quadratic equation r 2 3 + 2r 1 r 3 − r 2 sin 2 ϑ = 0 , which can be solved to give Figure 1. Scattering geometry of a scatterer for consideration of near field effect.…”

Section: Fresnel Zone Considerationmentioning

confidence: 99%

“…However, when the scatterers are in the Fresnel zone of one another, it is necessary to include this additional interaction effect in the scattered field of the scatterers. A study on the Fresnel field interaction between the close-spaced scatterers for disks and needles was carried out in [9] where the Fresnel phase correction and the amplitude correction to the far field scattered field were included. The detailed expressions of these corrections are also found in [10] where additional Fresnel zone higher order term is added.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A Study of Fresenel Scattered Field for Non-Spherical Discrete Scatterers

Ewe¹,

Chuah²

2000

PIER

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“…In [9], the expression of |r−r | ≈ r−ŝ ·r + r 2 2r was considered in the exponential term and the approximation in (7) was used for the denominator term.…”

Section: Fresnel Zone Considerationmentioning

confidence: 99%

Section: Fresnel Zone Considerationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Study of Fresenel Scattered Field for Non-Spherical Discrete Scatterers

Ewe¹,

Chuah²

2000

PIER

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“…Fung et al [39] considered the effects on backscattering for both disc-and needle-shaped leaves in the Fresnel zone of one another for a layer of vegetation using an intensitybased approach. Ewe and Chuah evaluated Fresnel effects on the individual scattering characteristics of discs, needles, and cylinders [40] and applied the approach to a single layer of random media [41].…”

Section: Introductionmentioning

confidence: 99%

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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“…In such calculations however, far field approximations are usually used. The importance of including the Fresnel zone effects in the calculation of the scattered fields in a medium with closely spaced scatterers has been studied for the cases of circular disks and needles [2,3], as well as for cylinders [3].…”

mentioning

confidence: 99%

Effects of Fresnel Corrections in the Scattered Field of General Ellipsoids

Koay¹,

Ewe²,

Chuah³

2007

PIERS Online

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The study of the scattered field of non-spherical scatterers is becoming an important field, especially in the remote sensing of vegetation. In this study, the scattered field of general ellipsoidal scatterers is formulated based on the generalized Rayleigh-Gans approximation, in which at least one of the dimensions of the ellipsoid is comparably smaller than the wavelength. The scattered field is formulated for the case in which far field approximations are used, as well as for the case in which the Fresnel zone effects are included. Results show that when the Fresnel corrections are considered, the calculated backscattering cross section gives a better match with measurement data compared to when far field approximations are used.

show abstract

Fresnel field interaction applied to scattering from a vegetation layer

Cited by 12 publications

References 12 publications

A Study of Fresenel Scattered Field for Non-Spherical Discrete Scatterers

A Study of Fresenel Scattered Field for Non-Spherical Discrete Scatterers

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

Effects of Fresnel Corrections in the Scattered Field of General Ellipsoids

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