The Modified Surface-Normal Vectors in the Physical Optics

Shijo, Tetsu; Rodríguez, Luis; Ando, Makoto

doi:10.1109/tap.2008.2007276

Cited by 24 publications

(14 citation statements)

References 6 publications

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“…As stated in Subsection V.A of [22], we can set these Fresnel transition functions equal to unity in case of an incident plane wave if the observation point is sufficiently far from the edge. This approximation has also been applied in the PO diffraction correction technique developed in [11]. When any cotangent function in (A5)-(A8) has an argument which causes a singularity in some of the GTD coefficients, we explicitly avoid the far-field numerical evaluation for the observation direction in which the singularity occurs.…”

Section: Resultsmentioning

confidence: 99%

“…Following an analogous procedure to that used in Chapter 2 of [3] for the volume integration, the scattered electric field phasor E S can be written as (see also (1) in [11])…”

Section: Spm Applied To a Radiation Integral With The Meca Currentsmentioning

confidence: 99%

“…In this case, the maximum leg length of the mesh triangles for the MECA simulations was set to λ, as shown in this figure, whereas for the MoM simulation was λ/10. The inclusion of the GTD parameter n is a major difference compared to the GTD-based PO-correction techniques proposed in [3,11], which are limited to the case n = 2 and only restricted to PEC scatterers. On the evidence of the results presented in Figs.…”

Section: Cuboidal Penetrable Slabmentioning

confidence: 99%

“…Sakina et al studied a modification of a line integral reduction of PO [10]. In [11], Shijo et al presented PO diffraction coefficients obtained by applying the one-variable SPM in the two-dimensional PEC case. Then they defined modified surface-normal vectors which turn the PO diffraction coefficients into those of the GTD (geometrical theory of diffraction).…”

Section: Introductionmentioning

confidence: 99%

“…These differences are particularly crucial when comparing our proposed method to the PO correction techniques developed in [3,11], which are also based on comparisons with the GTD formulation. Namely, the methods reported in [3,11] were derived for a two-dimensional PEC diffraction problem with normal incidence at the edge, and the corresponding diffraction analyses are restricted to the case which corresponds to zero wedge angle. As we will see, the correction factors in [3] are particular cases of our correction technique.…”

Section: Introductionmentioning

confidence: 99%

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Three-Dimensional Wedge Diffraction Correction Deduced by the Stationary Phase Method on the Modified Equivalent Current Approximation (Meca)

Gómez‐Sousa¹,

MartÃnez-Lorenzo²,

RubiÃ±os-LÃ3pez³

2012

PIER M

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Abstract-This paper presents a new method for computing fields diffracted by a wedge for the MECA formulation, which is valid not only for perfect electric conductors but also for lossy penetrable dielectrics. The method is based on the computation of a wedge correction matrix, which establishes a mapping function between fields incident at and diffracted by the wedge. The MECA method is based, in general, upon the oblique incidence of a plane wave at the interface between free space and lossy dielectric media. MECA reduces to the well-studied physical optics (PO) formulation in case of PEC (perfect electric conductor) scatterers. In this work, we consider a scenario involving diffraction caused by a plane wavefront incident on a wedge with flat faces and straight edge. The version of the stationary phase method for three-dimensional equivalent source distributions is employed to calculate the asymptotic contribution of the integration boundary along the edge of the diffraction wedge. This contribution of the critical boundary points is compared to the GTD (geometrical theory of diffraction) diffracted field in order to obtain the correction matrix by which the incident electric field vector is multiplied in MECA. As required to accomplish this comparison, the threedimensional incident electric field is previously resolved into an edgefixed coordinate system. Good agreement is demonstrated between full-wave method-of-moments (MoM) results and the results obtained by modifying MECA with our diffraction correction technique.

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Section: Resultsmentioning

confidence: 99%

“…Following an analogous procedure to that used in Chapter 2 of [3] for the volume integration, the scattered electric field phasor E S can be written as (see also (1) in [11])…”

Section: Spm Applied To a Radiation Integral With The Meca Currentsmentioning

confidence: 99%

Section: Cuboidal Penetrable Slabmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%