Region of validity of perturbation theory for dielectrics and finite conductors

Kim, M.-J.; Berenyi, H. M.; Burge, R. E.; Tajbakhsh, Shahram

doi:10.1088/0959-7174/5/3/004

Cited by 10 publications

(4 citation statements)

References 27 publications

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“…The maximum deviation occurs at the Brewster angle B % 68 . This result agrees with the conclusion in [20].…”

Section: Simulationssupporting

confidence: 94%

“…Especially, second-order transmittance calculations have not been carried out; moreover, for a 2D random rough surface, energy conservation of the second-order SPM has not been investigated [20]. However, in some practical applications, it is necessary to know the transmission properties, including transmitted field, bidirectional transmission coefficients and transmittance.…”

Section: Introductionmentioning

confidence: 99%

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Second-order small perturbation method for transmission from dielectric rough surfaces

Chen

Tian

Lü

et al. 2011

Waves in Random and Complex Media

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Although the small perturbation method (SPM) for rough surface scattering has been studied extensively in problems in optics, remote sensing and propagation, there are fewer studies on rough surface transmission by the SPM. In this paper, from Huygens' principle and the extinction theorem, the SPM is used to derive the transmitted field to the second order, and expressions for the bidirectional transmission coefficient and the total surface transmittance to the second order are developed for the random rough surface. The refined expressions can be applied to the situations where the transmission characteristics of a random rough surface need to be more accurately calculated. For example, to calculate the brightness temperature of stratified rough media by the incoherent method, we have to know the bidirectional transmission coefficient or transmittance of random rough surface as accurately as possible. The accuracy of the presented expressions is verified through the conservation of energy. It is shown that the transmission characteristics calculated by SPM to the first order violate conservation of energy, whereas solutions to the second order conform to energy conservation much better. This is particularly important for the calculation of transmittance or emissivity.

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“…The maximum deviation occurs at the Brewster angle B % 68 . This result agrees with the conclusion in [20].…”

Section: Simulationssupporting

confidence: 94%

Section: Introductionmentioning

confidence: 99%

Second-order small perturbation method for transmission from dielectric rough surfaces

Chen

Tian

Lü

et al. 2011

Waves in Random and Complex Media

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“…It can be shown [28,31] that the expressions of K for the E // and H // polarisations can be given by…”

Section: The Scattered Fieldmentioning

confidence: 99%

Analytical derivation of the stationarity and the ergodicity of a field scattered by a slightly rough random surface

Oliveira

Dusséaux

Afifi

2010

Waves in Random and Complex Media

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International audienceIn the framework of the small perturbation method, we present a new theoretical derivation of the statistical and spatial properties of a field scattered by a one-dimensional slightly rough random surface. The work concerns the intermediate field zone where the scattered field is reduced to the contribution of the progressive plane waves. The surface is assumed to be stationary, ergodic and Gaussian. First, from a statistical point of view, we demonstrate that under oblique incidence the scattered field is not stationary while it is strictly stationary under normal incidence. For an infinite surface, the scattered field modulus obeys to Hoyt law and the phase is not uniform. Second, from a spatial point of view, for a given altitude and under all incidences, we show that the scattered field is ergodic. Under oblique incidence, the phase is spatially uniform and the modulus is given by a Rayleigh law. Under normal incidence, the phase is not uniform and the modulus is given by a Hoyt law. Third, from a practical point of view, we show that the field measured by a directional antenna is ergodic and stationary if the angular transfer function of the antenna does not contain the specular direction

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“…where n ao+2irn/L (5) _yn =/k2-a (6) The parameter a0 = k sin 9, a = k sin 9 and -y,, = k cos 9, where O is the scattering angle of the nth order diffracted wave. For specular reflection 0n0 6 (for V1).…”

Section: Numerical Calculationmentioning

confidence: 99%

<title>Study of backscatter scattering cross section from ocean-like surfaces near grazing angle</title>

et al. 1995

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The scattering of electromagnetic waves from random rough surfaces near grazing incident problem is of a widespread interest in various physical situations, in particular coastal and shipborne radar backscatter. It is, however a very difficult problem stifi awaiting a satisfactory analytical solution. Two of the features which have been seen experimentally and yet have not been explained analytically are sea spikes, and unexpectedly large hh/vv scattering cross section compared to the analytical solutions available.I_n this paper we present a numerical study of backscatter cross section for the above situation. The numerical calculation was done using the Petit method, which unlike the better known method of moments (MOM), allows calculation to be done for the case of large.angle incidence.

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Region of validity of perturbation theory for dielectrics and finite conductors

Cited by 10 publications

References 27 publications

Second-order small perturbation method for transmission from dielectric rough surfaces

Second-order small perturbation method for transmission from dielectric rough surfaces

Analytical derivation of the stationarity and the ergodicity of a field scattered by a slightly rough random surface

<title>Study of backscatter scattering cross section from ocean-like surfaces near grazing angle</title>

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