A numerical study of the problem of diffraction at a non-periodic obstacle

Hugonin, Jean Paul; Petit, R.

doi:10.1016/0030-4018(77)90203-6

Cited by 18 publications

(6 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This formalism has been widely used in the grating domain, but it has also been extended to a nonperiodic obstacle 14 for s polarization. Its main advantage is that the geometry of the system is described in a very general way, with the variations of the permittivity (x, z).…”

Section: Differential Methodsmentioning

confidence: 99%

Numerical study of scattering from rough inhomogeneous films

1998

View full text Add to dashboard Cite

We adapt the differential method to the study of scattering from randomly rough inhomogeneous films, and we extend the application domain of the surface-integral method to rough surfaces with many embedded scatterers. These methods are compared in the case of geometries in which both volume and surface scattering occur. A good agreement is obtained, and the advantages and drawbacks of each technique are pointed out. The angular scattering from rough inhomogeneous structures corresponding to models of snowcover in the radio-frequency domain or paints in the optical domain is shown.

show abstract

Section: Differential Methodsmentioning

confidence: 99%

Numerical study of scattering from rough inhomogeneous films

1998

View full text Add to dashboard Cite

show abstract

“…Other methods, such as the differential method and the coupled-wave method, 17,22 permit one to calculate the diffracted pattern from any kind of surface profile. 23 However, these two methods, already used to study diffraction by gratings, have been plagued for many years by numerical instabilities, especially for the TM ͑ p͒ polarization when the height of the grooves is much greater than the wavelength. Today such limitation can be overcome thanks to the R or the S matrix 24 algorithms.…”

Section: Differential Methods For Rough Surfacesmentioning

confidence: 99%

Scattering–reduction effect with overcoated rough surfaces: theory and experiment

Giovannini¹,

Amra²

1997

Appl. Opt.

View full text Add to dashboard Cite

We show that a scattering-reduction effect is obtained by coating a rough surface with an antireflection layer. This research is a generalization of Amra's [J. Opt. Soc. Am. A 10, 365-374 (1993)] study of smooth surfaces conducted with a first-order theory to the case of rough surfaces. We show that the differential method with the R matrix algorithm can be used to study scattering from multilayered rough surfaces. A comparison between numerical and experimental results is given.

show abstract

“…AG + e ko2 G = -4n 8(x -x) 8(z -z) (2)(3)(4)(5)(6)(7)(8)(9) Moreover, we impose the saltus condition at the interface z=0 and the Sommerfeld radiation condition. The Green's function may be written in the form: Therefore, it turns out that the scattered field is a solution of :…”

Section: Green's Functionmentioning

confidence: 99%

“…Thus, we have to solve the integral equation (2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14) for (x,z) in Q2-For this purpose, we use a rectangular grid. Introducing AX AZ dx' AX dz' AZ (2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15) and assuming that E and E are constant throughout any grid cell, the integral equation can be written in the form:…”

Section: Integral Equationmentioning

confidence: 99%

See 1 more Smart Citation

Scattering Of S-Polarized Electromagnetic Waves By A Cylindrical Scatterer Near An Interface

Greffet

1989

SPIE Proceedings

View full text Add to dashboard Cite

In this note, we consider the scattering of s-polarized electromagnetic waves by a cylindrical scatterer lying on the vicinity of a surface separating two homogeneous dielectric media. The scatterer is an inhomogeneous zone of arbitrary shape described by its dielectric constant e(x,z). The upper and lower media are assumed to have a complex homogeneous, isotropic, linear and local dielectric constant. So far, this problem has received considerably less attention than the corresponding periodic problem. An extensive study using the differential approach has been reported [1]. In this study, an integral equation is used to find the electric field in the inhomogeneous zone. Numerical aspects of the treatment such as evaluation of the Green function will be considered in some detail. From the knowledge of the field within the scatterer, standard calculation gives the far field. Thus, it is possible to compute the diffraction pattern and the extinction cross -section of the scatterer. The numerical results are checked by using the classical criteria of the conservation of energy (optical theorem) and reciprocity. For instance, the relative difference between the total scattered flux and the diminution of the flux in the specular direction is currently less than 10-5; in addition, the reciprocity relations are always verified up to 4 figures.

show abstract

A numerical study of the problem of diffraction at a non-periodic obstacle

Cited by 18 publications

References 14 publications

Numerical study of scattering from rough inhomogeneous films

Numerical study of scattering from rough inhomogeneous films

Scattering–reduction effect with overcoated rough surfaces: theory and experiment

Scattering Of S-Polarized Electromagnetic Waves By A Cylindrical Scatterer Near An Interface

Contact Info

Product

Resources

About