Geometrical Theory of Diffraction for Electromagnetic Waves

James, G.L.

doi:10.1049/pbew001e

Cited by 207 publications

(220 citation statements)

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“…Hence, when k → ∞, the stationary phase point contribution becomes the dominant term for the PO integral, which agrees well with geometrical optics (GO) [2,19,22]. Previous work [13] only gives the leading term of O (k −1 ).…”

Section: Vertex Point Contributionssupporting

confidence: 85%

“…For electromagnetic waves, the PO integral has the similar expression as Equation (3), but we shall use the dyadic Green's function [1]. To guarantee that the PO approximation is accurate enough for the full-wave scattering, the observation point r shall be far away from the scatterer's shadow and reflection boundaries [3,21,22]. In this situation, the PO scattered field integral can be represented by a surface integral:…”

Section: Introductionmentioning

confidence: 99%

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An Efficient Method for Computing Highly Oscillatory Physical Optics Integral

Jiang

Chew

2012

PIER

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Abstract-In this work, we use the numerical steepest descent path (numerical SDP) method in complex analysis theory to calculate the highly oscillatory physical optics (PO) integral with quadratic phase and amplitude variations on the triangular patch. The Stokes' phenomenon will occur due to various asymptotic behaviors on different domains. The stationary phase point contributions are carefully studied by the numerical SDP method and complex analysis using contour deformation. Its result agrees very well with the leading terms of the traditional asymptotic expansion. Furthermore, the resonance points and vertex points contributions from the PO integral are also extracted. Compared with traditional approximate asymptotic expansion approach, our method has significantly improved the PO integral accuracy by one to two digits (10 −1 to 10 −2 ) for evaluating the PO integral. Moreover, the computation effort for the highly oscillatory integral is frequency independent. Numerical results for PO integral on the triangular patch are given to verify the proposed numerical SDP theory.

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Section: Vertex Point Contributionssupporting

confidence: 85%

Section: Introductionmentioning

confidence: 99%

An Efficient Method for Computing Highly Oscillatory Physical Optics Integral

Jiang

Chew

2012

PIER

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“…Using the exact series solution of the total field due to a line source near a conducting wedge/half plane [33], is found to be…”

Section: Isolated Half Plane Excited By a Line Sourcementioning

confidence: 99%

Scattering of Electromagnetic Plane Wave by a Perfectly Conducting Slit and a Pemc Parallel Cylinder

Naveed¹,

Naqvi²,

Hongo³

2008

PIER M

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“…Although these advantages are important, neither PO nor MECA are able to correctly evaluate the edge diffracted fields [3,4].…”

Section: Introductionmentioning

confidence: 99%

“…In some of these proposals, a version of the stationary phase method (SPM) is applied [3,7,8]. The SPM is a mathematical approach that makes use of a rapidly varying phase of the integrand.…”

Section: Introductionmentioning

confidence: 99%

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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Geometrical Theory of Diffraction for Electromagnetic Waves

Cited by 207 publications

References 0 publications

An Efficient Method for Computing Highly Oscillatory Physical Optics Integral

An Efficient Method for Computing Highly Oscillatory Physical Optics Integral

Scattering of Electromagnetic Plane Wave by a Perfectly Conducting Slit and a Pemc Parallel Cylinder

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

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