1983
DOI: 10.1080/713821125
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A New Electromagnetic Theory for Scattering from Shallow Rough Surfaces

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Cited by 50 publications
(17 citation statements)
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References 12 publications
(12 reference statements)
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“…This can explain why the Kirchhoff approximation is valid only when d x is large with respect to the wavelength [4]. The same result can be obtained for 1D gratings in the p polarization case.…”
Section: Case Of 1d Gratings In S-polarizationsupporting
confidence: 70%
See 1 more Smart Citation
“…This can explain why the Kirchhoff approximation is valid only when d x is large with respect to the wavelength [4]. The same result can be obtained for 1D gratings in the p polarization case.…”
Section: Case Of 1d Gratings In S-polarizationsupporting
confidence: 70%
“…The main advantage of the classical physical optics approximation lies in its simplicity, which entails a straightforward numerical treatment and a short computation time. On the other hand, it has been shown that this method may fail in resonance conditions, when the wavelength of the incident field has the same order of magnitude as the dimensions of the diffracting object [4]. Due to this reason the variation of the section of the nearly 2D object on two planes orthogonal to the privileged axis and separated by one wavelength must be small with respect to the wavelength.…”
Section: Introductionmentioning
confidence: 99%
“…(28) and (29) in Ref. 34) differ only by a factor of ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi 1 À ðk=PÞ 2 q . We can thus write the following:…”
Section: Scalar Theorymentioning
confidence: 95%
“…34 For perpendicular incidence, the amplitudes of first order diffraction for TE and TM polarization (Eqs. (28) and (29) in Ref.…”
Section: Scalar Theorymentioning
confidence: 99%
“…In the low frequency limit, a rough surface scattering problem can be solved with the help of the small perturbation method. Up to first order in a, it is shown that the scattering amplitude at infinity can be expressed in terms of the Fourier transform of the profile [ 15]. Indeed, denoting by a and a' the x components of the wave-vectors of the incident and scattered plane waves, respectively, the scattering amplitude r( a, a') writes …”
Section: The Electromagnetic Scattering Problemmentioning
confidence: 99%