Direct singular integral equation methods in scattering and propagation in strip- or slot-loaded structures

Tsalamengas, J.L.

doi:10.1109/8.725290

Cited by 36 publications

(30 citation statements)

References 8 publications

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“…Solution of the System of (4) and (8) We set , . In view of the edge conditions, and are most conveniently expanded into series of Chebyshev polynomials (9) Substitution from (9) into (4) and (8) and following the discretization procedure outlined in [11]- [12] yields the following linear algebraic system in and (10) where (11a)…”

Section: B Formulation Of the System Of Sie-sidementioning

confidence: 99%

Plane wave scattering by slots on a ground plane loaded with semicircular dielectric cylinders in case of oblique incidence and arbitrary polarization

Vardiambasis

Tsalamengas

Fikioris

1998

IEEE Trans. Antennas Propagat.

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Plane wave scattering by single or double slots loaded with semicircular dielectric cylinders is investigated in the most general case of oblique incidence and arbitrary polarization. To this end, systems of singular integral-integrodifferential equations of the first kind are constructed and discretized on the basis of recently developed algorithms. Several internal tests and extensive comparisons with available results were made in order to validate the numerical codes. Plotted results both for the surface magnetic current densities and the radar cross sections reveal how the scattering properties may be controlled by changing several physical and geometrical parameters of the structure.

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Section: B Formulation Of the System Of Sie-sidementioning

confidence: 99%

Plane wave scattering by slots on a ground plane loaded with semicircular dielectric cylinders in case of oblique incidence and arbitrary polarization

Vardiambasis

Tsalamengas

Fikioris

1998

IEEE Trans. Antennas Propagat.

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“…The three-dimensional diffraction problem for a slot and strip structures with planar stratified media is of interest since its solution is the bases for the theory of slotlines, striplines and another electromagnetic transmission systems [1][2][3][4][5][6]. However, this case is more complex for computations in comparison with the case of twodimensional diffraction [7][8][9][10][11][12][13][14][15][16], because one cannot consider diffraction fields in terms of two independent polarizations for which the field equations split into two independent subsystems.…”

Section: Introductionmentioning

confidence: 99%

“…However, this case is more complex for computations in comparison with the case of twodimensional diffraction [7][8][9][10][11][12][13][14][15][16], because one cannot consider diffraction fields in terms of two independent polarizations for which the field equations split into two independent subsystems. For example, in the works [3,4] the three-dimensional diffraction by a slot and strip structures with dielectric layers is described by a system of singular integrodifferential equations for the spatial field components, whose solution is constructed in a matrix form. Another approach employs a representation of these components in term of two scalar functions, which specify two different polarizations, just as proposed in the book [17] for the diffraction by a half-plane.…”

Section: Introductionmentioning

confidence: 99%

Three-Dimensional Electromagnetic Diffraction by a Slot System With Parallel Plane Dielectric Interfaces

Titovitsky¹

2010

PIER M

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Abstract-An efficient method is presented for rigorous description of three-dimensional electromagnetic diffraction fields in slot systems containing several parallel plane interfaces between dielectrics and conductors. For such structures, the method employs the representation of spatial field components in terms of two complex scalar functions. They specify two field polarizations, which reflect and refract on all parallel dielectric interfaces independently, one from the other, which essentially simplify the total solution of diffraction problem. As an example, the application of eigen-function expansions and mode-matching technique solves the specific problem of threedimensional diffraction of a plane electromagnetic wave by a slot in a thin conducting screen located ahead of a half-infinite dielectric.

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“…The present paper revisits three fundamental sets of 2 2 singular integral-integrodifferential equations (SIE-SIDE) previously treated in the context of GM in [3], [8]. These sets are relevant to a variety of structures that involve infinite strips or slots; examples include layered-either open or cylindrically shielded-microstrip lines and microslot lines, strip-loaded radiating apertures, cavity-backed or parallel plate-fed antennas, diaphragms in waveguides, etc.…”

Section: Introductionmentioning

confidence: 99%

Exponentially Converging NystrÖm's Methods for Systems of Singular Integral Equations With Applications to Open/Closed Strip- or Slot-Loaded 2-D Structures

Tsalamengas

2006

IEEE Trans. Antennas Propagat.

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This paper concerns the fast, highly accurate, and exponentially convergent solution of three sets of integral equations pertaining to two-dimensional generalized microstrip or microslot structures. The analysis relies on Nyström's method with due regard to all singular integrals and slowly converging series that appear in the kernels; the sophisticated treatment and efficient computation of such series and integrals is of paramount importance, entailing the use of advanced techniques. As a result of our specialized treatment, the discretization procedures developed herein: a) fully account for both the singular nature of the kernels and the singularities of the solution at the edges; b) obviate the need for taking inner products with testing functions; c) appear to converge exponentially versus matrix size; and d) enable expressing all matrix elements via single, finite sums. Detailed numerical examples and case studies illustrate the simplicity, flexibility, and remarkable efficiency of the algorithms.

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Direct singular integral equation methods in scattering and propagation in strip- or slot-loaded structures

Cited by 36 publications

References 8 publications

Plane wave scattering by slots on a ground plane loaded with semicircular dielectric cylinders in case of oblique incidence and arbitrary polarization

Plane wave scattering by slots on a ground plane loaded with semicircular dielectric cylinders in case of oblique incidence and arbitrary polarization

Three-Dimensional Electromagnetic Diffraction by a Slot System With Parallel Plane Dielectric Interfaces

Exponentially Converging NystrÖm's Methods for Systems of Singular Integral Equations With Applications to Open/Closed Strip- or Slot-Loaded 2-D Structures

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