A spherical wave representation of the dyadic Green's function for a wedge

Buyukdura, O. Merih; Goad, Stephen D.; Kouyoumjian, R. G.

doi:10.1109/8.477523

Cited by 15 publications

(17 citation statements)

References 6 publications

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“…In the source free regions, Green's function can be expanded in terms of solenoidal spherical vector wave functions presented in [10]. Solenoidal vector wave functions and , are defined in Appendix A.…”

Section: B Construction Of the Dyadic Green's Functionmentioning

confidence: 99%

“…By imposing the boundary conditions and employing the orthogonality of the spherical vector wave functions given in [10], and can be determined as follows:…”

Section: B Construction Of the Dyadic Green's Functionmentioning

confidence: 99%

“…Convergence of the dyadic Green's function of the wedge is investigated in [10] where a computation criterion is developed for the far-field of an infinitesimal dipole positioned at a finite distance, , from the wedge. The terms for which the orders of the Bessel function do not exceed twice their argument, , are retained in the summation.…”

Section: B Construction Of the Dyadic Green's Functionmentioning

confidence: 99%

“…Hence, the function is regular when . Detailed analysis and orthogonality relations of vector wave functions are given in [10]. …”

Section: Appendix a Spherical Vector Wave Functionsmentioning

confidence: 99%

“…Published works mostly refer to configurations which conform to cylindrical coordinates and do not consider the scattering from structures at the edge. However, scattering from perfectly conducting wedge is considered in [10] where dyadic Green's function (DGF) in terms of spherical vector wave functions are obtained. This dyadic Green's function is essential for analyzing the scattering from objects near the edge, since it gives accurate results in the paraxial region.…”

Section: Introductionmentioning

confidence: 99%

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Scattering From an Impedance Object at the Edge of a Perfectly Conducting Wedge

Ghassemiparvin

Altintas

2014

IEEE Trans. Antennas Propagat.

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Abstract-In this study, scattering from impedance bodies positioned at the edge of a perfectly electrically conducting wedge is investigated. In the treatment of the problem, eigenfunction expansion in terms of spherical vector wave functions is employed. A complete dyadic Green's function for the spherical impedance boss at the edge is developed. It is observed that the scattering is highly enhanced by the edge guided waves. Additionally, using T-matrix method, the solution is extended to the general case of irregularly shaped scatterers. The T-matrix solution is verified by applying it to the case of a spherical scatterer and results are compared with the dyadic Green's function solution.Index Terms-Dyadic Green's function, electromagnetic scattering, spherical vector wave functions, T-matrix, wedge scattering.

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Section: B Construction Of the Dyadic Green's Functionmentioning

confidence: 99%

“…By imposing the boundary conditions and employing the orthogonality of the spherical vector wave functions given in [10], and can be determined as follows:…”

Section: B Construction Of the Dyadic Green's Functionmentioning

confidence: 99%

Section: B Construction Of the Dyadic Green's Functionmentioning

confidence: 99%

“…Hence, the function is regular when . Detailed analysis and orthogonality relations of vector wave functions are given in [10]. …”

Section: Appendix a Spherical Vector Wave Functionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Scattering From an Impedance Object at the Edge of a Perfectly Conducting Wedge

Ghassemiparvin

Altintas

2014

IEEE Trans. Antennas Propagat.

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Diffraction by a perfectly conducting wedge illuminated by a complex point source

Gentili

Pelosi

Righini

et al. 2019

Micro & Optical Tech Letters

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An elementary dipole in presence of a perfectly conducting wedge radiates a field whose analytic expression can be written in terms of a double infinite series. A dipole located at a point characterized by complex coordinates behaves in the real space as a directive source akin to a Gaussian beam in the paraxial region. In this article, the series solution, originally conceived for a dipole located at a point characterized by real coordinates, is extended to the case of a complex coordinates source, hence providing an analytical solution approximating the problem of a wedge illuminated by a Gaussian beam.

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Recurrence relations for spherical waves

James¹

1996

Radio Science

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This paper derives new recurrence relations for scalar spherical waves in Cartesian coordinates and compares the performance of these relations with that of traditional recurrence relations. They are numerically stable for travelling waves and some standing waves, and are faster for evaluating scalar spherical waves up to order 40 on a nonspherical surface. Because of their algebraic simplicity, they will be especially useful for symbolic-algebra computer programs, allowing explicit expressions for scalar and vector spherical waves to be obtained using a succinct procedure.

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A spherical wave representation of the dyadic Green's function for a wedge

Cited by 15 publications

References 6 publications

Scattering From an Impedance Object at the Edge of a Perfectly Conducting Wedge

Scattering From an Impedance Object at the Edge of a Perfectly Conducting Wedge

Diffraction by a perfectly conducting wedge illuminated by a complex point source

Recurrence relations for spherical waves

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